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IEEE Guide for Application of
Shunt Power Capacitors
IEEE Power & Energy Society
Sponsored by the
Transmission and Distribution Committee
IEEE
3 Park Avenue
New York, NY 10016-5997
USA
IEEE Std 1036™-2010
(Revision of
IEEE Std 1036-1992)
17 January 2011
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IEEE Std 1036™-2010
(Revision of
IEEE Std 1036-1992)
IEEE Guide for Application of
Shunt Power Capacitors
Sponsor
Transmission and Distribution Committee
of the
IEEE Power & Energy Society
Approved 30 September 2010
IEEE-SA Standards Board
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Abstract: This guide applies to the use of 50 Hz and 60 Hz shunt power capacitor units rated
2400 Vac and above, and assemblies of such capacitors. Included are guidelines for the
application, protection, and ratings of equipment for the safe and reliable utilization of shunt
power capacitors. The guide is general and intended to be basic and supplemental to specific
recommendations of the manufacturer. The guide covers applications that range from simple
capacitor unit utilization to complex capacitor bank situations.
Keywords: capacitor, capacitor banks, externally fused, fuseless, internally fused, power factor
correction, shunt power capacitors
•
The Institute of Electrical and Electronics Engineers, Inc.
3 Park Avenue, New York, NY 10016-5997, USA
Copyright © 2011 by the Institute of Electrical and Electronics Engineers, Inc.
All rights reserved. Published 17 January 2011. Printed in the United States of America.
IEEE is a registered trademark in the U.S. Patent & Trademark Office, owned by the Institute of Electrical and Electronics
Engineers, Incorporated.
National Electrical Code and NEC are both registered trademarks of the National Fire Protection Association, Inc.
National Electrical Safety Code and NESC are both registered trademarks and service marks of the Institute of Electrical and Electronics
Engineers, Incorporated.
PDF:
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ISBN 978-0-7381-6492-2
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Introduction
This introduction is not part of IEEE Std 1036-2010, IEEE Guide for Application of Shunt Power Capacitors.
This standard was revised in response to a need created by changes in capacitor technology, primarily in
the areas of internally fused and fuseless capacitors. In addition, capacitor application information
previously contained in IEEE Std 18-2002 a was moved to this application guide. It was also the aim of this
revision to coordinate the information contained in this standard, whenever possible, with other pertinent
national and international standards.
Notice to users
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a
Information on references can be found in Clause 2.
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Errata
Errata, if any, for this and all other standards can be accessed at the following URL:
http://standards.ieee.org/reading/ieee/updates/errata/index.html. Users are encouraged to check this URL
for errata periodically.
Interpretations
Current interpretations can be accessed at the following URL: http://standards.ieee.org/reading/ieee/interp/
index.html.
Patents
Attention is called to the possibility that implementation of this guide may require use of subject matter
covered by patent rights. By publication of this guide, no position is taken with respect to the existence or
validity of any patent rights in connection therewith. The IEEE is not responsible for identifying Essential
Patent Claims for which a license may be required, for conducting inquiries into the legal validity or scope
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rights, and the risk of infringement of such rights, is entirely their own responsibility. Further information
may be obtained from the IEEE Standards Association.
v
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Participants
This standard was revised by a working group sponsored by the Capacitor Subcommittee of The
Transmission and Distribution Committee of the IEEE Power Engineering Society. At the time this guide
was submitted to the IEEE-SA Standards Board for approval, the Capacitor Subcommittee had the
following membership:
Mark McVey, Chair
Clay L. Fellers, Vice Chair
Roy Alexander
Ignacio Ares
Steve Ashmore
Bharat Bhargava
J. Antone Bonner
S. Cesari
Bill Chai
Simon Chano
Stephen Colvin
Stuart Edmondson
Cliff Erven
Karl Fender
Chuck Gougler
Tom Grebe
Paul Griesmer
John E. Harder
Luther Holloman
Ivan Horvat
Steve B. Ladd
John Maneatis
Jeff H. Nelson
Ben Mehraban
Stan A. Miske, Jr.
Jim Osborne
Pier Rancourt
W. Edward Reid
S. Rios-Marcuello
Tom Rozek
Don R. Ruthman
Jan Samuelsson
Eugene Sanchez
Richard Sevigny
Paul Steciuk
Rao S. Thallam
Alan Van Leuven
The working group that developed this standard consisted of the following membership:
Antone Bonner, Chair
Roy Alexander
Ignacio Ares
Jim Barcus
Ernst Camm
Bill Chai
Simon Chano
Stephen Colvin
Rory Dwyer
Stuart Edmonson
Cliff Erven
Clay L. Fellers
Karl Fender
Chuck Gougler
Tom Grebe
John E. Harder
Ivan Horvat
Luther Holloman
Gerald Lee
Allan Ludbrook
Mark McVey
Stan Miske, Jr.
Jeff Nelson
George Newcomb
Pier-Andre Rancourt
Ed Reid
Kurt Reim
Don R. Ruthman
Richard Sevigny
Rao S. Thallam
The following members of the individual balloting committee voted on this guide. Balloters may have
voted for approval, disapproval, or abstention.
William J. Ackerman
Roy Alexander
Steven Alexanderson
Gregory Ardrey
Gary Arntson
Carlo Arpino
Ali Awazi
Thomas Barnes
G. Bartok
Kenneth Behrendt
Gabriel Benmouyal
Bill Bergman
Enrique Betancourt
Wallace Binder
William Bloethe
Stuart Bouchey
Harvey Bowles
Steven Brockschink
Chris Brooks
Gustavo Brunello
Jim Cai
Thomas Carpenter
James Case
Tommy Cooper
James Cornelison
Luis Coronado
Randall Crellin
John Crouse
Russ Dantzler
Stephen Dare
Matthew Davis
J. Doering
Kevin Donahoe
Carlo Donati
Randall Dotson
Paul Drum
Paul Elkin
Ahmed Elneweihi
Bruce English
Gary Engmann
C. Erven
Dan Evans
Thomas Field
Marcel Fortin
James Gardner
vi
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David Garrett
Frank Gerleve
James Graham
Thomas Grebe
Charles Grose
Randall Groves
Kenneth Hanus
John Harder
Adrienne Hendrickson
Gary Heuston
Dennis Horwitz
John Houdek
Jose Jarque
Lars Juhlin
Peter Kemp
Mark J. Kempker
Gael Kennedy
Joseph L. Koepfinger
Boris Kogan
Jim Kulchisky
Scott Lacy
Chung-Yiu Lam
Stephen Lambert
Gerald Lee
Solomon Lee
Blane Leuschner
Maurice Linker
Albert Livshitz
William Lowe
Thomas Lundquist
G. Luri
Keith Malmedal
John Martin
Kenneth McClenahan
Mark McVey
Charles Morse
Daniel Mulkey
Jerry Murphy
Pratap Mysore
Jeffrey Nelson
Arthur Neubauer
Michael S. Newman
Joe Nims
T. Olsen
Lorraine Padden
Donald Parker
David Peelo
Robert Pettigrew
David Phillips
Anthony Picagli
Percy Pool
Paulette Payne Powell
Iulian Profir
Michael Roberts
Charles Rogers
Joseph R. Rostron
Thomas Rozek
M. Sachdev
Steven Sano
Bartien Sayogo
Richard Sevigny
Lubomir Sevov
Devki Sharma
Cameron Smallwood
Jerry Smith
Joshua Smith
R. Kirkland Smith
Devendra Soni
John Spare
Allan St. Peter
David Stone
John Sullivan
Paul Sullivan
Richard Taylor
Malcolm Thaden
Demetrios Tziouvaras
Waldemar Von Miller
Reigh Walling
Daniel Ward
Lee Welch
William Wessman
Thomas Wiedman
James Wilson
Roland Youngberg
Luis Zambrano
Theodore Zeiss
Ahmed Zobaa
v
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When the IEEE-SA Standards Board approved this guide on 30 September 2010, it had the following
membership:
Robert M. Grow, Chair
Richard H. Hulett, Vice Chair
Steve M. Mills, Past Chair
Judith Gorman, Secretary
Karen Bartleson
Victor Berman
Ted Burse
Clint Chaplin
Andy Drozd
Alexander Gelman
Jim Hughes
Young Kyun Kim
Joseph L. Koepfinger*
John Kulick
David J. Law
Hung Ling
Oleg Logvinov
Ted Olsen
Ronald C. Petersen
Thomas Prevost
Jon Walter Rosdahl
Sam Sciacca
Mike Seavey
Curtis Siller
Don Wright
*Member Emeritus
Also included are the following nonvoting IEEE-SA Standards Board liaisons:
Satish Aggarwal, NRC Representative
Richard DeBlasio, DOE Representative
Michael Janezic, NIST Representative
Catherine Berger
IEEE Standards Project Editor
Matthew J. Ceglia
IEEE Standards Program Manager, Technical Program Development
vi
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Contents
1. Scope .......................................................................................................................................................... 1
2. Normative references.................................................................................................................................. 1
3. Definitions .................................................................................................................................................. 3
4. Power system considerations...................................................................................................................... 4
4.1 Capacitor benefits ................................................................................................................................ 4
4.2 Size and number of capacitor banks .................................................................................................. 10
4.3 Control considerations ....................................................................................................................... 11
5. Capacitor ratings, capabilities, and service conditions ............................................................................. 12
5.1 Standard ratings ................................................................................................................................. 13
5.2 Related capabilities............................................................................................................................ 15
5.3 Service conditions.............................................................................................................................. 20
6. Switching and switchgear considerations................................................................................................. 21
6.1 Switching of capacitors...................................................................................................................... 21
6.2 Switching transients........................................................................................................................... 22
6.3 Outrush current .................................................................................................................................. 40
6.4 Switchgear ......................................................................................................................................... 44
7. Harmonics ................................................................................................................................................ 46
7.1 Capacitor limitations.......................................................................................................................... 46
7.2 Distortion limits................................................................................................................................. 47
7.3 Operating and application considerations.......................................................................................... 47
7.4 Harmonic “problems”........................................................................................................................ 48
8. Surge arresters .......................................................................................................................................... 48
8.1 Substation applications ...................................................................................................................... 48
8.2 Distribution applications.................................................................................................................... 49
9. Substation shunt power capacitor bank applications ................................................................................ 50
9.1 Capacitor bank connections and grounding....................................................................................... 50
9.2 Capacitor bank types ......................................................................................................................... 54
9.3 Protection........................................................................................................................................... 59
10. Capacitor applications on distribution lines............................................................................................ 66
10.1 Protection......................................................................................................................................... 67
10.2 Sizing and locating capacitors ......................................................................................................... 69
11. Special capacitor applications ................................................................................................................ 70
11.1 Harmonic filters............................................................................................................................... 70
11.2 Motor applications........................................................................................................................... 70
11.3 Surge capacitors............................................................................................................................... 72
vii
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12. Inspection and maintenance.................................................................................................................... 74
12.1 General ............................................................................................................................................ 74
12.2 Safety and personnel protection....................................................................................................... 74
12.3 Initial inspection, measurements, and energization ......................................................................... 75
12.4 Periodic inspection, measurements, and maintenance ..................................................................... 76
12.5 Field testing ..................................................................................................................................... 81
Annex A (informative) Bibliography ........................................................................................................... 84
viii
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IEEE Guide for Application of
Shunt Power Capacitors
IMPORTANT NOTICE: This standard is not intended to ensure safety, security, health, or
environmental protection. Implementers of the standard are responsible for determining appropriate
safety, security, environmental, and health practices or regulatory requirements.
This IEEE document is made available for use subject to important notices and legal disclaimers.
These notices and disclaimers appear in all publications containing this document and may
be found under the heading “Important Notice” or “Important Notices and Disclaimers
Concerning IEEE Documents.” They can also be obtained on request from IEEE or viewed at
http://standards.ieee.org/IPR/disclaimers.html.
1. Scope
This guide applies to the use of 50 Hz and 60 Hz shunt power capacitors rated 2400 Vac and above, and
assemblies of such capacitors. Included are guidelines for the application, protection, and ratings of
equipment for the improved safety and reliability in the utilization of shunt power capacitors. The guide is
general and intended to be basic and supplemental to specific recommendations of the manufacturer. The
guide covers applications that range from simple capacitor unit utilization to complex capacitor bank
situations.
2. Normative references
The following referenced documents are indispensable for the application of this document (i.e., they must
be understood and used, so each referenced document is cited in text and its relationship to this document is
explained). For dated references, only the edition cited applies. For undated references, the latest edition of
the referenced document (including any amendments or corrigenda) applies.
1
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IEEE Std 1036-2010
IEEE Guide for Application of Shunt Power Capacitors
ANSI C2-2007, National Electrical Safety Code, American National Standards Institute.1
ANSI C37.06-2009, American National Standard for AC High-Voltage Circuit Breakers Rated on a
Symmetrical Current Basis—Preferred Ratings and Related Required Capabilities.2
ANSI C37.66-2005, American National Standard Requirements for Oil-Filled Capacitor Switches for
Alternating-Current Systems.
IEEE Std 18™-2002, IEEE Standard for Shunt Power Capacitors. 3, 4
IEEE Std C37.04™-1999, IEEE Standard Rating Structure for AC High-Voltage Circuit Breakers.
IEEE Std C37.012™-2005, IEEE Application Guide for Capacitance Current Switching for AC HighVoltage Circuit Breakers Rated on a Symmetrical Current Basis.
IEEE Std C37.48™-2005, IEEE Guide for Application, Operation, and Maintenance of High-Voltage
Fuses, Distribution Enclosed Single-Pole Air Switches, Fuse Disconnecting Switches, and Accessories.
IEEE Std C37.99-2000, IEEE Guide for Protection of Shunt Capacitor Banks.
IEEE Std C62.2-1987, IEEE Guide for the Application of Gapped Silicon-Carbide Surge Arresters for
Alternating-Current Systems.
IEEE Std C62.22™-2009, IEEE Guide for the Application of Metal Oxide Surge Arresters for AlternatingCurrent Systems.
IEEE Std 141™-1993 (Reaff 1999), IEEE Recommended Practice for Electric Power Distribution for
Industrial Plants (IEEE Red Book™).
IEEE Std 262B-1977, IEEE Trial-Use Standard Dielectric Test Requirements for Power Transformers for
Operation on Effectively Grounded Systems 345 kV and Above (Trial-Use Supplement to IEEE Std 2621973, ANSI C57.12.90-1973).5
IEEE Std 519-2004, IEEE Recommended Practices and Requirements for Harmonic Control in Electric
Power Systems.
IEEE Std 1247™-2005, IEEE Standard for Interrupter Switches for Alternating Current, Rated Above
1,000 Volts.
IEEE Std 1531™-2003, IEEE Guide for Application and Specification of Harmonic Filters.
®
®
NFPA 70-2008, National Electrical Code (NEC ).6
1
The National Electrical Safety Code is available from the Institute of Electrical and Electronics Engineers, Service Center, 445 Hoes
Lane, Piscataway, NJ 08854, USA; and from the Sales Department, American National Standards Institute, 11 West 42nd Street, 13th
Floor, New York, NY 10036, USA.
2
ANSI publications are available from the Sales Department, American National Standards Institute, 11 West 42nd Street, 13th Floor,
New York, NY 10036, USA.
3
IEEE publications are available from the Institute of Electrical and Electronics Engineers, Service Center, 445 Hoes Lane,
Piscataway, NJ 08854, USA (http://standards.ieee.org/).
4
The IEEE standards or products referred to in this clause are trademarks of the Institute of Electrical and Electronics Engineers, Inc.
IEEE Std 262B-1 has been withdrawn; however, copies can be obtained from Global Engineering, 15 Inverness Way East,
Englewood, CO 80112-5704, USA, tel. (303) 792-2181 (http://global.ihs.com/).
5
6
The NESC is available from the Institute of Electrical and Electronics Engineers, Inc., 445 Hoes Lane, Piscataway, NJ 08854, USA
(http://standards.ieee.org/).
2
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IEEE Std 1036-2010
IEEE Guide for Application of Shunt Power Capacitors
3. Definitions
For the purposes of this document, the following terms and definitions apply. The IEEE Standards
Dictionary: Glossary of Terms & Definitions should be referenced for terms not defined in this clause. 7
3.1 ambient temperature: The temperature of the medium, such as air, water, or earth, into which the heat
of the equipment is dissipated.
NOTE 1—For self-ventilated equipment, the ambient temperature is the average temperature of the air in the
immediate vicinity of the equipment.
NOTE 2—For air- or gas-cooled equipment with forced ventilation or secondary water cooling, the ambient
temperature is taken as that of the ingoing air or cooling gas.
NOTE 3—For self-ventilated enclosed (including oil-immersed) equipment considered as a complete unit, the ambient
temperature is the average temperature of the air outside of the enclosure in the immediate vicinity of the equipment.
See 5.7 and Table 1 of IEEE Std 18-2002.
3.2 back-to-back capacitor bank switching (back-to-back switching, back-to-back capacitor
switching): Switching a capacitor bank in close enough electrical proximity to one or more other energized
capacitor banks and/or cables to significantly influence the inrush current.
3.3 capacitor bank: An assembly at one location of capacitor(s) and all necessary accessories, such as
switching equipment, protective equipment, controls, et cetera, required for a complete operating
installation. It may be a collection of components assembled at the operating site or may include one or
more pieces of factory-assembled equipment.
3.4 capacitor control: The device required to automatically operate the switching device(s) to energize and
de-energize shunt power capacitor banks.
3.5 capacitor element: The basic component of a capacitor unit consisting of two electrodes separated by a
dielectric.
3.6 capacitor equipment: A complete assembly of capacitors, including accessories such as buses,
connectors, dischargers, and fuses suitable for connection to a power system.
3.7 capacitor line fuse (capacitor group fuse): A fuse applied to disconnect a faulted phase of a capacitor
bank from the power system.
3.8 externally fused capacitor bank: A capacitor equipment with fuses external to the (power) capacitor
units.
3.9 filter capacitor: Capacitor(s) utilized with inductors and/or resistors for controlling harmonic voltages
and currents in the power system.
3.10 fixed capacitor bank: A capacitor bank not designed for automatic operation or frequent switching.
3.11 fused capacitor: A capacitor having fuses mounted on its terminals, or inside a terminal enclosure, or
inside the capacitor case, for the purpose of interrupting a failed capacitor element, unit or group.
3.12 fuseless capacitor bank: A capacitor bank without any fuses, internal or external, that is constructed
of (parallel) strings of capacitor units. Each string consists of capacitor units connected in series.
7
The IEEE Standards Dictionary: Glossary of Terms & Definitions is available at http://shop.ieee.org/.
3
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IEEE Std 1036-2010
IEEE Guide for Application of Shunt Power Capacitors
3.13 indoor (prefix): Not suitable for exposure to the weather.
NOTE—For example, an indoor capacitor unit is designed for indoor service or for use in a weatherproof housing.
3.14 inrush current: The transient charging current that flows in a capacitor when a capacitor bank is
initially connected to a voltage source.
3.15 internal fuse: A fuse connected inside a capacitor unit, in series with an element or a group of
elements.
3.16 internally fused capacitor (unit): A capacitor unit that includes internal fuses.
3.17 internally fused capacitor bank: A capacitor bank equipment with internally fused capacitor units.
3.18 isolated capacitor bank: A capacitor bank whose inrush current is limited by the inductance of the
source and its own capacitance. Other capacitor banks and cables are not sufficiently coupled to the bank to
significantly influence the inrush current.
3.19 metal-enclosed (prefix): A capacitor equipment assembly enclosed in a metal enclosure or metal
house, usually grounded, to prevent accidental contact with live parts. Syn: metal-housed.
3.20 metal-housed (prefix): See: metal-enclosed.
3.21 outrush current: The transient discharge current that flows when an energized capacitor bank is
initially connected to a short circuit.
3.22 power capacitor (shunt capacitor, capacitor unit): An assembly of dielectric and electrodes in a
container (case), with terminals brought out, that is intended to introduce capacitance into an electric power
circuit.
NOTE—The abbreviated term “capacitor” or “capacitor unit” is used interchangeably with “power capacitor”
throughout this standard.
3.23 string (string of capacitors) (string of capacitor elements): Capacitors connected in series between
two terminals without parallel connection(s).
3.24 switched capacitor (switched capacitor bank): A capacitor bank designed for controlled operation
and/or frequent switching.
3.25 weatherproof: An apparatus is designated as weatherproof, when so constructed, protected, or treated
that its successful operation is not interfered with when subjected to adverse weather.
4. Power system considerations
4.1 Capacitor benefits
As power systems become heavily loaded (above surge impedance loading), shunt power capacitors
become essential to the reliable operation of the power system. The capacitors support the system voltage
and reduce the reactive current flow through the power system. Acceptable system voltages generally
4
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IEEE Std 1036-2010
IEEE Guide for Application of Shunt Power Capacitors
cannot be maintained by the generators and transmission system alone. Shunt power capacitors are
required.
During system contingencies, when parts of the transmission system are unavailable, increased loading on
the remaining system causes additional voltage drop. Shunt capacitors are required to support the system
voltage during these contingencies. The lack of available shunt capacitors can (and has) lead to system
voltage collapse.
Most power system loads and delivery apparatus (e.g., motors, lines and transformers) are inductive in
nature and therefore operate at a lagging power factor. When operating at a lagging power factor, power
system loads require reactive current from the system, which results in reduced system capacity, increased
system losses, and reduced system voltage.
Figure 1 illustrates how the application of shunt power capacitors increases system capacity and reduces
system losses by reducing reactive power needs from Qr1 to Qr2 through the addition of Qc. As a result, the
system load is reduced from S1 to S2 as shown in Figure 1.
Table 1 gives a summary of benefits derived from shunt power capacitors as they apply to transmission and
distribution systems. Var support and voltage control are the primary benefits for a transmission system
while the distribution system benefits may be more varied depending upon whether the system belongs to a
generating utility, a nongenerating utility, or an industrial power user. The following subclauses describe
each of these benefits in more detail.
P
φ2
Qr2
φ1
S2
Qr1
S1
Qc
Figure 1 — Effect of adding shunt capacitors
Table 1 —Summary of benefits of applying shunt power capacitors
Benefits
Transmission system
Distribution system
Voltage support
*
*
Var support
*
†
5
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IEEE Std 1036-2010
IEEE Guide for Application of Shunt Power Capacitors
Benefits
Transmission system
Distribution system
Increase system capacity
†
*
Reduce system power
loss
†
*
Reduce billing charges
†
*
*This is generally a primary benefit
† This is generally a secondary benefit
4.1.1 Voltage support
Applying shunt capacitors to a system results in a voltage rise. This voltage rise is caused by the flow of
capacitor current (or the reduction of inductive current) through the inductive reactance of the system from
the point of installation back to the generation. The voltage rise at the capacitor location is approximately
equal to the capacitor current IC times the inductive reactance of the system to the capacitor location XL.
There is a voltage rise all the way back to the voltage source, the magnitude depending on the inductive
reactance between the source and the location. In a radial system, there is also an increase in the voltage
beyond the capacitor location resulting from the increase at the capacitor location.
There are a number of formulas that can be used to estimate the voltage rise that capacitors will produce.
Based on the capacitor current and the inductive reactance of the system to the capacitor location:
ΔV ≈ IC X L
(1)
For systems with a reasonably high X/R ratio, where the short-circuit impedance to the capacitor location is
about the same as the inductive reactance, the XL of Equation (1) is the impedance that determines the
system short-circuit current available at the capacitor location. This short-circuit current is useful in
estimating the voltage rise. A commonly used estimate is as follows in Equation (2).
ΔV ≈
where
ΔV
IC
ISC
QC
SSC
I C QC kvar
=
I SC SSC kva
(2)
is the per unit voltage rise at the point of the capacitor installation
is the capacitor current in amps
is the system short-circuit current at the capacitor location
is the capacitor three-phase kvar at system voltage
is the system three phase short-circuit kva at the capacitor location
Capacitor banks are typically installed on the transmission system at major buses to provide voltage support
for a large area. They are also installed at distribution buses and directly on customer delivery buses to
provide voltage support to smaller areas and to individual customers. Capacitor banks installed on
distribution lines support voltage along the entire length of line.
Capacitor banks that are installed for voltage support are generally switched on during the peak loading
periods or low-voltage conditions and switched off during light loading periods or high-voltage conditions.
Capacitors have also been used on distribution feeders to keep the feeder voltage constant (acceptable, but
low) during substation voltage reduction contingencies. Voltage reduction can decrease feeder power and
current during peak load conditions.
6
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IEEE Std 1036-2010
IEEE Guide for Application of Shunt Power Capacitors
4.1.2 Var support
Reactive power (var) support encompasses many of the different benefits of shunt power capacitors, such
as improved voltage control and power factor; reduced system losses and reactive power requirements at
generators; and increased steady-state stability limits. Capacitors are sized and located at transmission and
distribution substations to supply reactive power close to the loads or to provide midway support across
heavily loaded transmission circuits.
4.1.3 Increased system capacity
Increased system capacity may justify the addition of shunt power capacitors on a distribution system. This
is particularly significant when loads supplied by the system are increasing rapidly. The addition of shunt
power capacitors reduces the kilovoltampere loading on the system, thereby releasing capacity that can then
be used to supply future load increases. The optimum economical power factor for a system, with regard to
released capacity only, can be estimated by use of Equation (3).
⎛C ⎞
PF = 1−⎜ ⎟
⎝S⎠
2
(3)
where
C
S
PF
is the cost per kilovar of capacitor bank
is the cost per kilovoltamperes of system equipment
is optimum power factor
Equation (3) compares the cost of capacitor banks to the cost of transformers, regulators, and/or other
system equipment, as an alternative means of providing increased system capacity. The graph of the
formula, the optimum power factor as a function of the cost ratio of the capacitor bank versus other system
equipment, is illustrated in Figure 2.
ECONOMICAL SYSTEM
POW ER FACTOR (%)
100
90
80
ECONOMICAL SYSTEM POWER FACTOR
BASED ON THERMAL CAPACITY USAGE
BY KILOVAR FROM FORMULA
70
⎛ C⎞
PF = 1 − ⎜ ⎟
⎝ S⎠
60
2
50
0
0.1
0.2
0.3
0.4
CAPACITOR COST
SYSTEM COST
0.5
=
0.6
0.7
0.8
0.9
$ / kvar
$ / kVA
Figure 2 — Economical system power factor
7
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IEEE Guide for Application of Shunt Power Capacitors
The power factor required to release a desired amount of system kilovoltamperes can be determined by
Equation (4).
PFold
PF new = 1 − S
release
(4)
kva
where
PFnew
PFold
Srelease
is the corrected power factor
is the existing power factor
is the amount of kilovoltamperes to be released (in per unit of existing kilovoltamperes)
To calculate the capacitive kilovar necessary to correct to a new, higher power factor, one must subtract the
inductive kvar of the new (corrected) power factor from the old (existing) power factor. The difference is
the amount of capacitive kilovar to be added to the system. Equation (5) is a convenient way of doing this.
QC kvar = PS kW[tan(cos −1 PFold ) − tan(cos −1 PFnew )]
(5)
where
PS
QC
is the system kilowatt load
is the amount of capacitive kilovar to be added
Table 2 is a chart that may be used in place of this formula. Simply find the row corresponding to the
existing system power factor and the column corresponding to the corrected new power factor. The number
located where these intersect should be multiplied by the system kilowatt load to arrive at the total
capacitive kilovar necessary to correct to the new power factor.
8
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IEEE Std 1036-2010
IEEE Guide for Application of Shunt Power Capacitors
Table 2—Power factor correction kilowatt multipliers
Existing power factor
0.80
0.50
0.51
0.52
0.53
0.54
0.55
0.56
0.57
0.58
0.59
0.60
0.61
0.62
0.63
0.64
0.65
0.66
0.67
0.68
0.69
0.70
0.71
0.72
0.73
0.74
0.75
0.76
0.77
0.78
0.79
0.80
0.81
0.82
0.83
0.84
0.85
0.86
0.87
0.88
0.89
0.90
0.91
0.92
0.93
0.94
0.95
0.96
0.97
0.98
0.99
0.982
0.937
0.893
0.850
0.809
0.769
0.730
0.692
0.655
0.619
0.583
0.549
0.516
0.483
0.451
0.419
0.388
0.358
0.328
0.299
0.270
0.242
0.214
0.186
0.159
0.132
0.105
0.079
0.052
0.026
0.000
0.81
1.008
0.962
0.919
0.876
0.835
0.795
0.756
0.718
0.681
0.645
0.609
0.575
0.542
0.509
0.477
0.445
0.414
0.384
0.354
0.325
0.296
0.268
0.240
0.212
0.185
0.158
0.131
0.105
0.078
0.052
0.026
0.000
0.82
1.034
0.989
0.945
0.902
0.861
0.821
0.782
0.744
0.707
0.671
0.635
0.601
0.568
0.535
0.503
0.471
0.440
0.410
0.380
0.351
0.322
0.294
0.266
0.238
0.211
0.184
0.157
0.131
0.104
0.078
0.052
0.026
0.000
0.83
1.060
1.015
0.971
0.928
0.887
0.847
0.808
0.770
0.733
0.697
0.661
0.627
0.594
0.561
0.529
0.497
0.466
0.436
0.406
0.377
0.348
0.320
0.292
0.264
0.237
0.210
0.183
0.157
0.130
0.104
0.078
0.052
0.026
0.000
0.84
1.086
1.041
0.997
0.954
0.913
0.873
0.834
0.796
0.759
0.723
0.687
0.653
0.620
0.587
0.555
0.523
0.492
0.462
0.432
0.403
0.374
0.346
0.318
0.290
0.263
0.236
0.209
0.183
0.156
0.130
0.104
0.078
0.052
0.026
0.000
0.85
1.112
1.067
1.023
0.980
0.939
0.899
0.860
0.822
0.785
0.749
0.713
0.679
0.646
0.613
0.581
0.549
0.518
0.488
0.458
0.429
0.400
0.372
0.344
0.316
0.289
0.262
0.235
0.209
0.182
0.156
0.130
0.104
0.078
0.052
0.026
0.000
0.86
1.139
1.094
1.050
1.007
0.966
0.926
0.887
0.849
0.812
0.776
0.740
0.706
0.673
0.640
0.608
0.576
0.545
0.515
0.485
0.456
0.427
0.399
0.371
0.343
0.316
0.289
0.262
0.236
0.209
0.183
0.157
0.131
0.105
0.079
0.053
0.027
0.000
0.87
1.165
1.120
1.076
1.033
0.992
0.952
0.913
0.875
0.838
0.802
0.766
0.732
0.699
0.666
0.634
0.602
0.571
0.541
0.511
0.482
0.453
0.425
0.397
0.369
0.342
0.315
0.288
0.262
0.235
0.209
0.183
0.157
0.131
0.105
0.079
0.053
0.026
0.000
Corrected power factor
0.88 0.89 0.90 0.91
1.192
1.147
1.103
1.060
1.019
0.979
0.940
0.902
0.865
0.829
0.793
0.759
0.726
0.693
0.661
0.629
0.598
0.568
0.538
0.509
0.480
0.452
0.424
0.396
0.369
0.342
0.315
0.289
0.262
0.236
0.210
0.184
0.158
0.132
0.106
0.080
0.053
0.027
0.000
1.220
1.175
1.131
1.088
1.047
1.007
0.968
0.930
0.893
0.857
0.821
0.787
0.754
0.721
0.689
0.657
0.626
0.596
0.566
0.537
0.508
0.480
0.452
0.424
0.397
0.370
0.343
0.317
0.290
0.264
0.238
0.212
0.186
0.160
0.134
0.108
0.081
0.055
0.028
0.000
1.248
1.203
1.159
1.116
1.075
1.035
0.996
0.958
0.921
0.885
0.849
0.815
0.782
0.749
0.717
0.685
0.654
0.624
0.594
0.565
0.536
0.508
0.480
0.452
0.425
0.398
0.371
0.345
0.318
0.292
0.266
0.240
0.214
0.188
0.162
0.136
0.109
0.083
0.056
0.028
0.000
1.276
1.231
1.187
1.144
1.103
1.063
1.024
0.986
0.949
0.913
0.877
0.843
0.810
0.777
0.745
0.713
0.682
0.652
0.622
0.593
0.564
0.536
0.508
0.480
0.453
0.426
0.399
0.373
0.346
0.320
0.294
0.268
0.242
0.216
0.190
0.164
0.137
0.111
0.084
0.056
0.028
0.000
0.92
1.306
1.261
1.217
1.174
1.133
1.093
1.054
1.016
0.979
0.943
0.907
0.873
0.840
0.807
0.775
0.743
0.712
0.682
0.652
0.623
0.594
0.566
0.538
0.510
0.483
0.456
0.429
0.403
0.376
0.350
0.324
0.298
0.272
0.246
0.220
0.194
0.167
0.141
0.114
0.086
0.058
0.30
0.000
0.93
1.337
1.292
1.248
1.205
1.164
1.124
1.085
1.047
1.010
0.974
0.938
0.904
0.871
0.838
0.806
0.774
0.743
0.713
0.683
0.654
0.625
0.597
0.569
0.541
0.514
0.487
0.460
0.434
0.407
0.381
0.355
0.329
0.303
0.277
0.251
0.225
0.198
0.172
0.145
0.117
0.089
0.061
0.031
0.000
0.94
1.369
1.324
1.280
1.237
1.196
1.156
1.117
1.079
1.042
1.006
0.970
0.936
0.903
0.870
0.838
0.806
0.775
0.745
0.715
0.686
0.657
0.629
0.601
0.573
0.546
0.519
0.492
0.466
0.439
0.413
0.387
0.361
0.335
0.309
0.283
0.257
0.230
0.204
0.177
0.149
0.121
0.093
0.063
0.032
0.000
0.95
1.403
1.358
1.314
1.271
1.230
1.190
1.151
1.113
1.076
1.040
1.004
0.970
0.937
0.904
0.872
0.840
0.809
0.779
0.749
0.720
0.691
0.663
0.635
0.607
0.580
0.553
0.526
0.500
0.473
0.447
0.421
0.395
0.369
0.343
0.317
0.291
0.264
0.238
0.211
0.183
0.155
0.127
0.097
0.066
0.034
0.000
0.96
1.440
1.395
1.351
1.308
1.267
1.227
1.188
1.150
1.113
1.077
1.041
1.007
0.974
0.941
0.909
0.877
0.846
0.816
0.786
0.757
0.728
0.700
0.672
0.644
0.617
0.590
0.563
0.537
0.510
0.484
0.458
0.432
0.406
0.380
0.354
0.328
0.301
0.275
0.248
0.220
0.192
0.164
0.134
0.103
0.071
0.037
0.000
0.97
1.481
1.436
1.392
1.349
1.308
1.268
1.229
1.191
1.154
1.118
1.082
1.048
1.015
0.982
0.950
0.918
0.887
0.857
0.827
0.798
0.769
0.741
0.713
0.685
0.658
0.631
0.604
0.578
0.551
0.525
0.499
0.473
0.447
0.421
0.395
0.369
0.342
0.316
0.289
0.261
0.233
0.205
0.175
0.144
0.112
0.079
0.041
0.000
0.98
1.529
1.484
1.440
1.397
1.356
1.316
1.277
1.239
1.202
1.166
1.130
1.096
1.063
1.030
0.998
0.966
0.935
0.905
0.875
0.846
0.817
0.789
0.761
0.733
0.706
0.679
0.652
0.626
0.599
0.573
0.547
0.521
0.495
0.469
0.443
0.417
0.390
0.364
0.337
0.309
0.281
0.253
0.223
0.192
0.160
0.126
0.089
0.048
0.000
0.99
1.589
1.544
1.500
1.457
1.416
1.376
1.337
1.299
1.262
1.226
1.190
1.156
1.123
1.090
1.068
1.026
0.995
0.965
0.935
0.906
0.877
0.849
0.821
0.793
0.766
0.739
0.712
0.685
0.659
0.633
0.609
0.581
0.555
0.529
0.503
0.477
0.450
0.424
0.397
0.369
0.341
0.313
0.283
0.252
0.220
0.186
0.149
0.108
0.060
0.000
1.0
1.732
1.687
1.643
1.600
1.559
1.519
1.480
1.442
1.405
1.369
1.333
1.299
1.266
1.233
1.201
1.169
1.138
1.108
1.078
1.049
1.020
0.992
0.964
0.936
0.909
0.882
0.855
0.829
0.802
0.776
0.750
0.724
0.698
0.672
0.646
0.620
0.593
0.567
0.540
0.512
0.484
0.456
0.426
0.395
0.363
0.329
0.292
0.251
0.203
0.143
0.000
4.1.4 Reduced system power losses
On some distribution and transmission systems, a significant reduction in losses may be achieved by the
installation of shunt power capacitors.
The installation of shunt power capacitors reduces current flow through the system from the point of the
capacitor installation back to the generation. Since power losses are directly proportional to the square of
the current, a reduction of current flow results in a much greater reduction of power losses. Capacitors are
often installed as close to the load as possible for this reason.
The ratio of the system losses associated with the local load, with and without capacitors installed, can be
estimated with Equation (6), which assumes constant kilowatt and constant voltage at the load with no
harmonics present (the effect of harmonics is addressed in Clause 7).
9
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loss ratio =
loss with capacitors
loss without capacitors
⎛ PF ⎞
= ⎜⎜ old ⎟⎟
⎝ PFnew ⎠
(6)
2
where
PFold
PFnew
is the existing power factor
is the corrected power factor
This reduction in losses will reduce the generation fuel requirement to supply these losses as well as the
system equipment costs to supply the losses at peak load.
4.1.5 Reduced billing charges
A number of utilities use some form of kilovoltampere billing for their large customers (e.g., municipal
utilities and large industrial customers). Since the application of shunt power capacitors beyond the meter
can result in a reduced kilovolt-ampere loading, this can result in reduced billing charges.
The kilovoltampere billing charge may be calculated in many different ways, including the following:
a)
b)
c)
d)
A fixed charge for each kilowatt plus a fixed charge for each kilovar.
A certain amount for each kilowatt at or above a certain power factor, with additional charges made
for each kilovar in excess of that required by a minimum power factor.
A charge per kilowatt demand multiplied by a factor that increases with decreasing power factor.
A fixed charge per peak kilovoltampere.
4.2 Size and number of capacitor banks
The shunt capacitance requirements are determined for a power system by modeling the system for various
contingencies and determining the capacitors required to maintain acceptable system voltage. For specific
applications, capacitors are applied to optimize the benefits described in 4.1 for a given set of system
requirements. Distribution capacitors are often sized to supply the reactive power requirements of the load
plus the reactive requirements of the transformer bank(s) at peak load. This provides for power factor
correction to unity at the high side of the transformers and effective operation of the transmission or
subtransmission system. Transmission substation capacitors are often sized and located based on load flow
and stability studies of the transmission network. The capacitors minimize system losses, increase the
system voltage, and increase stability margins. After the capacitor requirements are known, the individual
capacitor bank megavar sizes and number of steps are determined. To take advantage of the economies
associated with standardized equipment, other limitations may influence the maximum and minimum
capacitor bank sizes used.
4.2.1 Maximum size
The maximum capacitor bank size is influenced by the following factors:
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a)
b)
Change in system voltage upon capacitor bank switching.
Switchgear continuous current limitations.
When a capacitor bank is energized or de-energized, the fundamental system voltage increases or
decreases, respectively. In order to have a minimal effect upon customer loads, this voltage change is often
limited to a value in the range of 2% to 3%. This voltage change (ΔV) can be estimated by Equation (7).
⎛ Q Mvar ⎞
⎟⎟ × 100%
ΔV = ⎜⎜ C
Mva
S
sc
⎝
⎠
(7)
where
ΔV
is the voltage change as a percentage of the fundamental frequency rms system voltage
QC Mvar is the Mvar size of the capacitor bank
S sc Mva is the available three-phase short-circuit MVA at the capacitor bank location
The continuous-current rating of switchgear used for capacitor bank switching may be a factor in choosing
the capacitor bank size. The rating is usually determined by multiplying the nominal capacitor current by
1.25 for ungrounded capacitor banks and by 1.35 for grounded-wye capacitor banks. Where currents with
substantial harmonic components are likely to be encountered, provision should be made for additional
current-carrying capacity in the circuit breakers, fuses, and other auxiliary devices. More detailed
information is available in IEEE Std C37.04-1999, ANSI C37.06-2009, IEEE Std C37.012-2005, ANSI
C37.66-2005, and IEEE Std 1247-2005.
4.2.2 Minimum size
While there is no absolute minimum capacitor bank size, the practical minimum capacitor bank size may be
influenced by the following factors:
a)
b)
c)
d)
e)
The type of capacitor bank used: externally fused, internally fused, fuseless, etc.
The easily available ratings of capacitor units
Capacitor bank unbalance considerations
Fuse performance and/or coordination
The cost of the required switchgear and protection
The principal concerns when installing a small capacitor bank are the proper performance of the proposed
capacitor bank (including the protection) and the cost of the installation. Under some circumstances, the
cost of the installation may be reduced by installing the capacitor on a lower voltage bus in the same
substation.
4.3 Control considerations
Capacitor banks are either switched or fixed, i.e., not switched. Generally, in determining the type of
capacitor bank required, consider the following guidelines:
a)
b)
Fixed capacitor banks are sized for minimum load conditions.
Switched capacitor banks are designed for load levels above the minimum condition up to peak
load.
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The curve shown in Figure 3, which can be determined by a recording kilovar meter or calculated using
kilowatt and power factor measurements, illustrates a typical kilovar demand over a 24 hour period. In this
figure, the fixed capacitor banks satisfy the base load requirements, and the switched capacitor banks
compensate for the inductive kilovar peak during the heavier load periods.
In the operation of a power system, however, it is often desirable to use existing loads to hold down the
system voltage during periods of light load (compensate for the excess capacitance of the transmission
system). In this case, some of the “fixed capacitors” of this figure should actually be switched to allow the
load to hold down the system voltage. In other cases, where excess capacitance can be tolerated during
periods of light load, it may be less expensive to leave some of the “switched capacitors” unswitched. In
more general terms, the “fixed capacitors” are those that can be left on the system all of the time, and the
“switched capacitors” are those that are switched to meet system operating requirements or a billing tariff.
1800
1600
1400
Kilovars
1200
1000
800
Switched capacitors
600
400
Fixed capacitors
200
0
0
2
4
6
8
10 12 14 16 18 20 22 24
Time of day
Figure 3 — Switching capacitors
5. Capacitor ratings, capabilities, and service conditions
Capacitor ratings and service conditions are specified in IEEE Std 18-2002. Application guidelines for
transient, short time and contingency capacitor overvoltages and overcurrents are given in this document.
Key aspects of the ratings and service conditions are provided in this clause for easy reference. Short time
“momentary” capabilities of capacitors are also explained in this clause.
The life of a capacitor is shortened by overstressing, overheating, chemical change, physical damage, or
repeated temperature changes. Life to 90% survival might exceed 20 years when capacitors are applied
according to the guidelines of this application guide.
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Shunt capacitors cause a voltage rise at the point where they are located and are therefore more likely to
operate at overvoltages than other types of equipment. Recognizing this factor, the nameplate voltage
ratings of capacitors and permissible overvoltage operation are generally higher than those established for
motors and most other equipment.
5.1 Standard ratings
The standard ratings established in IEEE Std 18-2002 are as follows:
a)
b)
c)
d)
e)
Voltage, rms (terminal-to-terminal)
Terminal(s)-to-case (or ground) insulation class
Reactive power
Number of phases
Frequency
5.1.1 Tolerances in ratings
Older capacitors may have tolerances as high as –0% to +15% for capacitance of individual capacitor units
at 25 °C uniform case and internal temperature. Beginning with the 2002 edition, capacitors built to IEEE
Std 18 have a tolerance of –0% to +10% at 25 °C.
Temperature will affect capacitance measurements. Therefore, the capacitance of capacitor units that are
much colder or much warmer than 25°C may measure outside the rated tolerance without having failed
elements.
5.1.2 Voltage and reactive power ratings
Typical voltage and reactive power ratings are summarized in Table 3. The reactive power output can be
calculated as shown in Equation (8).
Q OP =
(2π fC )V 2A
(8)
1000
where
QOP
VA
f
C
is the operating reactive power of the capacitor in kilovoltamperes reactive
is the applied voltage in volts
is the supply frequency in Hertz
is the capacitance of the capacitor in farads
The reactive power output will vary according to the actual applied voltage, which may be different than
the rated voltage. The operating kvar can also be calculated as shown in Equation (9).
Q OP
⎛V
kvar = Q R kvar ⎜⎜ A
⎝ VR
⎞
⎟⎟
⎠
2
(9)
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where
QOP
QR
VA
VR
is the operating reactive power of the capacitor in kilovoltamperes reactive
is the rated reactive power of the capacitor
is the applied voltage
is the rated voltage
5.1.3 Insulation classes
The standard basic impulse insulation levels (BIL) of capacitor units are given in Table 3.
Capacitors may be used on circuits of higher voltage than the terminal-to-case insulation class, provided the
cases are supported on external insulation suitable for the circuit voltage and provided the terminal-toterminal voltage limits are not exceeded.
Table 3—Typical voltage and reactive power ratings
Volts, rms
(terminal-to-terminal)
kvar
Number of phases
BIL kVa
2400
2770
4160, 4800
50, 100, 150, 200, 300 and 400
50, 100, 150, 200, 300, 400 and 500
50, 100, 150 200,300, 400, 500, 600,
700 and 800
50, 100, 150, 200, 300, 400, 500, 600,
700 and 800
1 and 3
1 and 3
1 and 3
75, 95, 125, 150 and 200
75, 95, 125, 150 and 200
75, 95, 125, 150 and 200
1
95, 125, 150 and 200
50, 100, 150, 200, 300, 400, 500, 600,
700 and 800
100, 150, 200, 300, 400, 500, 600, 700
and 800
100, 150, 200, 300, 400, 500, 600, 700
and 800
1
125, 150 and 200
1
125, 150 and 200
1
150 and 200
6640,7200,7620,7960, 8320,
9540, 9960, 11 400, 12 470,
13 280, 13 800, 14 400
15 125
19 920
20 800, 21 600, 22 800,
23 800, 24940
a
See IEEE Std 18-2002 for impulse test specifications.
5.1.4 Frequency
Power capacitors are designed for operation at the device’s rated nominal frequency of either 50 Hz or
60 Hz. When capacitors are operated at frequencies lower than rated, both the reactive power and the
capacitive current are reduced in direct proportion to the operating frequency as shown in Equation (10)
and Equation (11).
⎛ f
QOP kvar = ⎜⎜ OP
⎝ fR
⎞
⎟⎟QR kvar
⎠
⎛f
I OP = I NOM ⎜⎜ OP
⎝ fR
where
QOP
QR
IOP
INOM
fOP
fR
(10)
⎞
⎟⎟
⎠
(11)
is the operating reactive power of the capacitor, kvar
is the rated reactive power of the capacitor, kvar
is the capacitive current at the applied frequency and rated voltage
is the capacitive current at the rated frequency and rated voltage
is the frequency at which the capacitor unit is to be applied
is the rated frequency of the capacitor unit
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5.2 Related capabilities
5.2.1 Operating and ambient temperatures
Capacitors are designed for switched or continuous operation in outdoor locations with unrestricted
ventilation and direct sunlight under the maximum ambient temperatures for each mounting arrangement
shown in Table 4.
5.2.1.1 Minimum ambient
Capacitors are designed for continuous operation and switching operations at temperatures not lower than
–40° C. The capacitor manufacturer should be consulted for operation below –40° C.
5.2.1.2 Effect of temperature
It is essential that consideration be given to the arrangement of capacitors and complete equipment as an
installation to provide adequate ventilation and dissipation of heat. Capacitors are designed to operate at a
lower temperature rise than most other types of apparatus for the following specific reasons:
a)
Unlike most other power apparatus, shunt capacitors (whether unswitched or switched) normally
operate for relatively long periods of time at full load and, therefore, do not benefit from the lower
average temperature rise characteristic of typical daily load cycles.
b) Capacitors are designed to operate at comparatively high dielectric stresses. The combination of these
stresses with operation at high temperature for extensive periods of time will result in gradual
deterioration and shortened life.
5.2.1.3 Design considerations
Capacitor ratings are based on maximum ambient temperatures with an allowance for heat dissipation by
radiation and convection. The arrangement and mounting of capacitors and the conditions of installations
will affect the heat dissipation and thereby limit the ambient temperature in which capacitors may be
operated. Capacitors and capacitor equipment operating outdoors in direct sunlight and with unrestricted
ventilation will normally operate with lower temperature rise than those operating indoors in still air. The
following points are important in relating the operating temperature of a capacitor to the conditions of
installation:
a)
An individual non-enclosed capacitor, such as is mounted on an outdoor pole, will dissipate heat with
the least temperature rise (the heat dissipation being approximately 45% by radiation and 55% by
convection).
b) The mounting of capacitors in rows side by side or in tiers, or both, increases the temperature rise
because of heating of the air stream and because of reduced radiation.
c)
The enclosing of capacitors in a housing or room without forced air ventilation increases the
temperature rise because of reduced radiation and restriction of the natural circulation of air.
d) Capacitors subjected to radiation from the sun or from any surface, the temperature of which is above
the ambient, show a higher temperature rise.
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Table 4—Maximum ambient
Mounting arrangement
Maximum ambient air
temperature, °Ca
Isolated capacitor
46
Single row of capacitors
46
Multiple rows and tiers of
capacitors
40
Metal-enclosed or housed
equipment
40
a
The arithmetic average of the four highest hourly
readings during the hottest day expected at the
capacitor location
For applications at temperatures higher than indicated in Table 4, consult the capacitor manufacturer.
5.2.2 Continuous operation
Capacitors are suitable for continuous operation at 135% of rated reactive power. This maximum reactive
power includes the following factors, the combined effects not exceeding 135%.
a)
b)
c)
Reactive power due to voltage in excess of nameplate rating at fundamental frequency but within
the permissible voltage limitations described in 5.2.2.1.
Reactive power due to harmonic voltages superimposed on the fundamental frequency.
Reactive power in excess of nameplate rating due to manufacturing tolerance within the limits
specified in 5.1.1.
5.2.2.1 Limitations on continuous operation
Capacitors are intended to be operated at or below their rated voltage and frequency. Capacitors are capable
of continuous operation under contingency system and capacitor bank conditions provided that none of the
following limitations are exceeded:
a)
b)
c)
d)
110% of rated rms voltage.
120% of rated crest voltage, i.e., crest voltage not exceeding 1.2 × 2 × rated rms voltage,
including harmonics but excluding transients (see Clause 7 for more on harmonics).
135% of nominal rms current based on rated kvar and rated voltage, including fundamental and
harmonic currents (see Clause 7 for more on harmonics).
135% of rated kvar (see 5.2.2).
The continuous and short-time overvoltage capabilities (without loss of life) of any series element of a
capacitor unit shall be considered to be its share of the total capacitor unit voltage capability. (In internally
fused capacitor units, capacitor elements in parallel with blown fuses sometimes are operated beyond their
normal capability, accepting the possibility of shortened life. Similarly, in some externally fused capacitor
banks and in some capacitor banks without capacitor unit fuses, capacitor units with failed elements are
allowed to remain in service with the remaining healthy capacitor elements in those capacitor units
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operating above their normal capability, accepting the possibility of shortened life.) Capacitor units without
failed elements are intended to be operated within the guidelines a) through d) shown previously.
5.2.3 Momentary capabilities
Capacitors are capable of withstanding with full-life expectancy switching transients having peak voltages
up to 2 × 2 times rated voltage rms and other transient disturbances inherent in the operation of power
systems.
Capacitors may be subjected to both high voltage and high current under certain conditions associated with
switching. The magnitude of the permissible current and voltage peaks depends on the frequency of
occurrence. In the case of a frequently switched capacitor, current and voltage peaks must be held to
relatively low values. Comparatively high values may be tolerated on a capacitor bank switched
infrequently. Figure 4 through Figure 6 provide a guide for the evaluation of service conditions from the
standpoint of peak currents and voltage.
The capabilities indicated in these figures may be increased, upon recommendation by the manufacturer,
when fewer overvoltages are expected or when less severe temperature conditions exist.
5.2.3.1 Momentary power frequency overvoltage
A capacitor, tested in accordance with IEEE Std 18-2002 may reasonably be expected to withstand, during
normal service life, a combined total of 300 applications of power frequency terminal-to-terminal
overvoltages without superimposed transients or harmonic content, of the magnitudes and durations shown
in Figure 4.
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Sh o rt T ime O ve rvo lta g e
Po we r fre q ue n cy ca pa b ility o f ca pa cito r un its
Volta ge (p er un it of rated rms volta
2 .6
2 .2
1 .8
1 .4
1
0 .6
0 .0 1
0 .1
1
10
100
1 0 00
10000
T ime (seco n d s)
Figure 4 — Maximum contingency power frequency overvoltage capability of capacitor units
NOTE—Figure 4 is based on straight line segments between the following points on semi-log coordinates: (0.01, 2.2),
(0.1, 2.2), (0.25, 2.0), (1.0, 1.7), (15.0, 1.4), (60, 1.3), and (1800, 1.25).
In using Figure 4, the overvoltage capability is for the capacitor unit, not the capacitor bank. Evaluation of
capacitor unit overvoltage exposure should include allowance for any voltage unbalance in the capacitor
bank.
Overvoltages may cause localized damaging discharges (partial discharge) in a capacitor unit. Trapped
charges and gas generated in the first half cycle make the discharge more severe in the second half cycle.
The accumulation of damage makes the severity of the overvoltage event increase with the time of the
event. When the overvoltage is eliminated, the trapped charges and accumulated gas tend to dissipate and
be absorbed. This improves the dielectric capability of the capacitor from what it was at the end of the
overvoltage event.
The time axis of Figure 4 indicates the maximum time for a single event. Capacitor unit damage tends to
escalate during an event, so that damage is happening more rapidly at the end of the event than at the
beginning. Two continuous seconds at 1.73 per unit is much more severe than two separate events of 1 s
each, with a time in between to allow for localized cooling, absorption of corona gasses accumulated gas,
etc. The curve should not be used to estimate the effect of contingency overvoltage events exceeding the
maximum time indicated by the curve.
For event times shorter than those indicated by the curve, the times of the individual events can be
accumulated to estimate the effect of the shorter events. For example, ten 1.73 per unit events of 0.1 s each
(shorter than the allowable one second limit of the curve) would create equal or less damage to the
capacitor unit than one 1.73 per unit event of 1 s duration.
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5.2.3.2 Transient overcurrent
A capacitor unit may reasonably be expected to withstand transient currents inherent in the operation of
power systems. These include infrequent high lightning currents and discharge currents to nearby faults.
For frequent back-to-back capacitor bank switching, peak capacitor unit current should be held to a lower
value as indicated in Figure 5. (The capacitor bank current is the capacitor unit current times the number of
capacitor units or strings in parallel.) Other equipment such as fuses, circuit breakers, and protection and
control circuits may require limitation to a lower peak current.
Maximumpeak capacitor unit current (kA)
14
12
10
4 Operations
per year
8
6
1 Operation
per day
4
10 Operations
per day
2
0
0
20
40
60
80
100
Capacitor unit nominal current (Amperes)
Figure 5 — Transient current capability of capacitor units for regularly occurring transients
NOTE—In Figure 5 these curves are based on straight lines from the origin to 12 kA. The slopes are 1500 times the
nominal current for 4 operations per year, 800 times the nominal current for 1 operation per day, and 400 times nominal
current for 10 operations per day.
5.2.3.3 Transient overvoltage
A capacitor may reasonably be expected to withstand the transient overvoltages indicated in Figure 6.
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Peak voltage (Per unit of crest of rated voltage)
4.0
3.5
3.0
2.5
2.0
1.5
1
10
100
1000
10000
Number of transients per year
Figure 6 — Transient peak overvoltage capability of capacitor units
NOTE—In Figure 6, the curve is based on straight line segments between the following points on semi-log coordinates:
(1.0, 5/√2), (4.0, 5/√2), (40, 4/√2), (400, 3.4/√2) and (4000, 2.9/√2).
5.3 Service conditions
5.3.1 Normal service conditions
Capacitors are suitable for operation at their specified rating when
a)
b)
c)
d)
e)
f)
The ambient temperature is within the limits specified in 5.2.1. (Capacitors may be exposed to the
direct rays of the sun.)
The altitude does not exceed 1800 m above sea level. 8
The voltage applied to a capacitor bank does not exceed the rated voltage of the capacitor bank.
The impulse voltage applied between each terminal and the case does not exceed BIL of that
terminal as specified in 5.1.3.
The applied voltage does not contain harmonics in excess of the limits specified in 5.2.2.1.
The nominal operating frequency is equal to the rated frequency.
5.3.2 Abnormal service conditions
If capacitors are required to operate under abnormal service conditions, such as the following, the
application should be brought to the attention of the manufacturer:
8
6000 feet above sea level.
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a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
Exposure to damaging fumes or vapors
Exposure to conducting or explosive dust
Exposure to abnormal mechanical shock or vibration, including earthquakes
Exposure to radiated heat from surfaces (other than the sun) that are hotter than the ambient
temperature limits for capacitors given in 5.2.1
Mounting and/or arrangement that prevents adequate ventilation (see 5.2.1.3)
Operation in ambient temperatures outside the range specified in 5.2.1
Altitude higher than 1800 m above sea level
Momentary power frequency overvoltage that exceeds that listed in 5.2.3.1
Transient currents that exceed those listed in 5.2.3.2
Transient overvoltages that exceed those listed in 5.2.3.3
Service conditions other than those listed in 5.3.1
6. Switching and switchgear considerations
6.1 Switching of capacitors
Switched capacitors give added flexibility in the control of system voltage, power factor, and losses.
Switched capacitors are usually applied with some type of automatic switch control. The control senses a
particular condition. If the condition is within a preset level, the control’s output level will initiate a close
or trip signal to the switches that will either connect or disconnect the capacitor bank from the power
system. Typical automatic capacitor controls are listed below with a description of why they may be
chosen.
a)
b)
c)
d)
e)
Voltage. Improvement or control of voltage regulation is a major consideration.
Current. Current magnitude is directly related to var demand.
Var or reactive current controls. Var demand is a major consideration.
Time switch. Var demand has a high degree of regularity with respect to time.
Temperature. Increase in var demand is closely related to temperature change.
Power factor is generally not a good basis for controlling capacitor switching. Low power factor at very
low load requires very little capacitance, and the addition of capacitors may result in a leading power factor
and immediate switching off of the capacitors—a “pumping” condition. High power factor at very high
load may still benefit from the addition of capacitors, and the addition of some capacitors may not result in
enough change in power factor to result in switching off of the capacitors. Var or reactive current
controllers are more appropriate controllers where a power factor penalty is to be avoided.
Fixed capacitor banks (i.e., not automatically switched) are usually left energized on a continuing basis.
However, in areas with significant seasonal demand changes, fixed capacitor banks may be manually
switched on a seasonal basis.
Remote switching of capacitor banks is being used in some areas (Clinard [B3]). 9 This requires a specific
capacitor bank or group of capacitor banks to have controls capable of receiving a signal and initiating a
close or open operation on the capacitor switches. The computer algorithm or manually entered command
originates at a remote location.
Capacitor banks located in substations are most commonly controlled via the same system supervisory
control automated and data acquisition (SCADA) used to control other equipment in the station. Typical
9
The numbers in brackets preceded by the letter B correspond to those of the bibliography in Annex A.
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communications methods for remote switching of capacitor banks, mostly distribution, include the
following:
⎯
Radio. When the area allows appropriate radio frequency to be transmitted without much
interference.
⎯
Power line carrier. Appropriate line coupling equipment is required, usually at the substation.
⎯
Telephone. Over leased or private telephone lines.
6.2 Switching transients
When a capacitor bank is energized or de-energized, current and voltage transients are produced that affect
both the capacitor bank and the connected system (Greenwood [B4]). (Switchgear rating considerations are
discussed in 6.4.) This clause starts with a description of the transients that result from switching followed
by a summary of the devices most commonly used for switching capacitor banks.
6.2.1 Energization
6.2.1.1 Energizing an isolated capacitor bank
Figure 7 shows an equivalent circuit for energizing an isolated capacitor bank from a predominantly
inductive source. When the switch is closed, a high-frequency, high-magnitude current flows into the
capacitor, attempting to equalize the system voltage and the capacitor voltage. If the switch is closed at a
voltage peak, the voltage on the capacitor attempts to immediately increase from the zero-voltage, deenergized condition to the peak voltage. In the process of achieving this voltage change, an overshoot
occurs, equal to the amount of the attempted voltage change. This voltage surge is also of the same high
frequency as the inrush current, and rapidly decays to the system voltage. The magnitude of the voltage
surge, for an isolated grounded-wye capacitor bank, is a maximum of about 2.0 per unit.
Equivalent system
representation
Vpk
Ls
Rs
C
Capacitor
Bank
Figure 7 — System diagram for energizing an isolated capacitor bank
For a practical capacitor bank energization without trapped charge, the system losses, loads, and
transmission system capacitances can cause the transient magnitude to be much less than the theoretical 2.0
per unit (peak phase-to-ground voltage). Typical levels range from 1.2 to 1.8 per unit for substation
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capacitor banks (EPRI TR-106294-V2 [B11]). Figure 8 shows example capacitor energizing transient
voltage and current waveforms.
Transient frequencies due to isolated capacitor bank switching generally fall in the 300 Hz to 1000 Hz
range. The characteristic frequency is related to the steady-state voltage rise (ΔV—refer to 4.2.1) using
Equation (12).
2
80
Capacitor Voltage
60
1
Source Voltage
20
-1
0
-2
Current (per unit)
Voltage (per unit)
40
0
-20
Capacitor current
-3
-180
-90
0
90
180
-40
270
Voltage angle (degrees)
Figure 8 — Typical bus voltage and capacitor current during capacitor energizing
fs =
1
= f system ×
2π LsC
⎛ S sc Mva ⎞
⎛ 1 ⎞
⎜⎜
⎟⎟ ≈ f system × ⎜
⎟
⎝ ΔV ⎠
⎝ QC Mvar ⎠
(12)
where
fs
fsystem
Ls
C
Ssc
QC
ΔV
is the switching transient frequency
is the system power frequency
is the source inductance of the system
is the capacitance of the capacitor bank
is the short-circuit MVA at the capacitor bus
is the Mvar of the capacitor bank at nominal system voltage
is the steady state voltage rise as per unit of the nominal
Therefore, for a 60 Hz system, a voltage rise design range of 1.0% to 2.5% would correspond to
characteristic frequency range of 380 Hz to 600 Hz.
Transient overvoltages that result are usually not of concern to the utility, since peak magnitudes are just
below the level at which utility surge protection, such as arresters, begins to operate. Because of the
relatively low frequency, however, these transients will pass through step-down transformers to lower
voltage loads.
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Energizing grounded wye and ungrounded wye capacitor banks can both result in transient overvoltages—
both on the system and on the capacitors. The details of the transients tend to be different and depend on
many factors including system impedance (reactance and resistance), presence of other capacitor banks on
the system, delay between closing of the phases of the switch, etc. Generally the effects are similar.
Re-energizing a capacitor bank with voltage on its terminals will increase the severity of the energization
transient. For example, a trapped voltage of 10% of the crest of the normal voltage will increase the inrush
transient voltage and current by 10%. Internal discharge resistors in each capacitor unit will dissipate the
stored energy, reducing the voltage. These resistors are designed, per IEEE Std 18-2002, to reduce the
voltage across the individual capacitor units to less than 50 V within 5 min. Enough delay should be
provided to assure that the voltage on the capacitors is low enough to assure acceptable inrush transients.
While a 5 min delay for re-energizing capacitors has frequently been used to limit inrush transient
problems, re-energizing the capacitors in less than 5 min after de-energization may be desirable. Allowing
the voltage to decay to about 10% of its original value will only increase the inrush transients by 10% and
is often acceptable. Normally reduction to 10% is on the order of 2 min to 3 min, depending upon the
capacitor unit voltage rating. Calculation of the time for capacitors to decay to a specific voltage is covered
in IEEE Std C37.99-2000. External discharge reactors to more quickly discharge the capacitors, properlysized insertion resistors or reactors, or controlled switching to control the inrush transient may also be used
to reduce the time before re-energizing. The transient inrush/discharge capability of the capacitors and the
switching device should be considered.
6.2.1.2 Phase-to-phase insulation
The energization of a shunt power capacitor bank may subject other system equipment to excessive phaseto-phase overvoltages, especially delta-connected transformers (O’Leary and Harner [B14]). A potential
problem is illustrated in Figure 9. Surges generated by the energization of the capacitor bank would travel
down the line towards the transformer and double at that point. It would be possible to get a +2.0 per unit
surge on one phase and a –2.0 per unit on another. This would result in 4.0 per unit phase-to-phase.
(Voltages are given in per unit of the rated peak line-to-ground voltage.) This could be a potential problem
for transformers that are applied in this configuration (see IEEE Std 262B). A typical example of this type
of transient is shown in Figure 10. The actual severity of the transient is a function of the system
configuration and can be significantly higher than the 4.0 per unit value mentioned above. In general, this
transient can be reduced by any of a number of methods including closing resistors, pre-insertion inductors,
controlled closing, staggered closing, capacitor bank reactors, and surge arresters (Bayless, et al. [B2]).
24
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IEEE Guide for Application of Shunt Power Capacitors
230 kV
69 kV
34.5 miles
50.4 Mvar
Figure 9 — System diagram for transient shown in Figure 10
25
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Phase B
4
V o lt a g e ( p u )
2
0
-2
-4
50
55
Electrotek Concepts®
60
Time (ms)
65
4
70
TOP, The Output Processor®
Phase C
V o lt a g e ( p u )
2
0
-2
-4
50
55
Electrotek Concepts®
4
60
Time (ms)
65
70
TOP, The Output Processor®
Phase B-C
V o lt a g e ( p u )
2
0
-2
-4
50
El t t k C
55
60
Time (ms)
t®
65
70
TOP Th O t t P
®
Figure 10 — Simulation of transformer transient due to capacitor switching
6.2.1.3 Prestrike
Prestrike may occur during the energization of a capacitor bank. When the capacitor bank is energized, an
arc is established within the interrupters before the contacts physically make contact. This phenomenon is
called prestrike. When a prestrike occurs, normal high-frequency inrush current flows. Certain interrupters
can interrupt this current at a high-frequency current zero. When the interrupter again strikes the arc,
transient voltages and currents occur due to the trapped charge on the capacitor. The level of concern for
this phenomenon is a function of the time delay before it strikes again and the number of times that it
occurs (Pflanz and Lester [B8]).
26
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6.2.1.4 Inrush current
Capacitor switches must be capable of repeatedly withstanding inrush current, which, for an isolated
capacitor bank, is as follows in Equation (13) through Equation (16):
I max pk = 1000 × VLL ×
C eq
2
×
3
Leq
(13)
or
I max pk = 2 × I SC × I 1
(14)
or
I max pk =
1000
2
×
× S SC Mva × QC Mvar
VLL
3
(15)
or
I max pk = 1000 ×
Q C kvar
2
×
3
1000 × 2π × f s × Leq
(16)
where
fs
Ceq
is the system frequency, in Hertz
is the effective capacitance of the capacitor bank (in farads). This value should take into account
the effect of capacitance tolerance
Leq is the effective inductance of the source (in henries)
ISC
is the symmetrical rms three-phase short-circuit current at the capacitor bank location (in
amperes)
I1
is the rms capacitor bank current (in amperes). The current used should include the effect of
operating the capacitor bank at a voltage above nominal rating of the capacitors and the effect of a
positive tolerance of capacitance. In the absence of specific information, a multiplier or 1.15 times
nominal capacitor current would give conservative results
Imax pk is the peak value of inrush current calculated without damping, in Amperes. In practical
circuits, it will be about 90% of this value.
VLL is the rated maximum line-to-line voltage, in kilovolts
Ssc is the available three-phase short-circuit MVA at the capacitor bank location
QC
is the three-phase Mvar or kvar (units shown in equation) of the capacitor bank being switched at
nominal system voltage. It should include the effect of positive capacitance tolerance
6.2.1.5 Energization of back-to-back capacitor banks
When a capacitor bank is energized in close proximity to a previously energized capacitor bank, further
considerations arise. A high-frequency inrush current flows when the capacitor bank is energized.
However, the limiting inductance is the inductance between the capacitor banks rather than the system
27
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inductance. The magnitude and frequency of this inrush current is, therefore, much higher than the inrush to
an isolated capacitor bank (see IEEE Std C37.012-2005, ANSI C37.66-2005, IEEE Std 1247-2005).
The inrush current magnitude and frequency can be calculated as follows in Equation (17) through
Equation (21):
I max pk = 1000 × VLL ×
C eq
2
×
3
Leq
(17)
or
I max pk = 1000 ×
2
×
3
3 × 1000 × VLL × (I1 × I 2 )
2π × f s × Leq × (I1 + I 2 )
(18)
or
I max pk
⎛ Q1 kvar × Q2 kvar ⎞
⎜⎜
⎟
Q1 kvar + Q2 kvar ⎟⎠
1000
⎝
=
×
3×π × fs
Leq
(19)
and
ft =
1000
2π × Leq × Ceq
(20)
or
ft =
1
2π
×
1000 × f s × VLL × (I 1 + I 2 )
(21)
3 × Leq × (I 1 × I 2 )
where
fs
ft
Ceq
Leq
I1, I2
is the system frequency, in Hertz
is the frequency of transient inrush current, in kilohertz
is the equivalent capacitance of the two capacitor banks in series (in farads)
is the total equivalent inductance per phase between capacitor banks (in henries)
are the currents of the capacitor bank being switched and of the capacitor bank already energized,
respectively, in amperes. The capacitor bank being switched is assumed uncharged, with closing
at a voltage crest of the source voltage. The current used should include the effect of operating the
capacitor bank at a voltage above nominal rating of the capacitors and the effect of a positive
tolerance of capacitance. In the absence of specific information, a multiplier of 1.15 times
nominal capacitor current would give conservative results
Imax pk is the peak value of inrush current calculated without damping, in amperes
28
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IEEE Guide for Application of Shunt Power Capacitors
VLL is the rated maximum line-to-line voltage, in kilovolts
Q1, Q2 are the three-phase kvars of the capacitor bank being switched and the capacitor bank already
energized, respectively. The kvar used should include the effect of a positive tolerance of
capacitance
These equations can also be used for computing of inrush currents when more than two capacitor banks are
switched back-to-back provided the equivalent inductance is calculated properly.
For distribution systems, about a hundred meters between overhead capacitor banks is usually an adequate
separation distance to limit the inrush current to an acceptable level. Configurations where the capacitor
banks are very close together may require inrush current limiting reactors.
This high-frequency inrush may exceed the transient frequency momentary capability or peak withstand
capability of the switching device (see ANSI C37.06-2009 and IEEE Std C37.012-2005) as well as the I2t
withstand of the capacitor fuses. It may also cause false operations of protective relays and excessive
voltages for current transformers in the neutral or phase of grounded-wye capacitor banks.
Back-to-back switching is typified by the circuit shown in Figure 11. The magnitude and frequency of the
inrush current must be limited to ensure the proper operation of the switching device as well as relays,
fuses, etc. Where inrush currents are excessive, one or a combination of the following steps is taken:
a)
b)
c)
d)
e)
Use current limiting reactors to decrease the peak current and frequency of the oscillatory inrush
transients.
Use switching devices with properly sized pre-insertion resistors. These resistors are designed to
over-damp the circuit, preventing oscillations and allowing the capacitor to become essentially
charged to line potential before the main contacts of the switch close.
Use switching devices with pre-insertion inductors. These inductors provide a large impedance
between the capacitor banks to limit the inrush current. High resistance pre-insertion inductors will
further limit inrush current through damping as in the case of pre-insertion resistors.
Switch the capacitor in smaller megavar increments.
Control the switching device to close at the instant of zero voltage difference across the switch.
Figure 11 — Back-to-back switching circuit
To control the substation ground mat transients due to the high-frequency inrush currents, where two or
more grounded wye capacitor banks are at the same location, the capacitor bank neutrals may be directly
connected, with a single connection to ground. (See 9.1.2 of this standard and IEEE Std C37.99-2000 for
more details.)
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6.2.1.6 Methods for controlling system transients during capacitor energization
The devices currently available for transient overvoltage control either attempt to minimize the transient
overvoltage (or overcurrent) at the point of application, or limit (clip) the overvoltage at local and remote
locations (Pflanz and Lester [B8]). These devices include the following:
a)
Pre-insertion resistors and inductors
b) Synchronous closing
c)
Surge arresters
Previous studies [digital simulation and Transient Network Analyzer (TNA])] have suggested that the
effectiveness of these control methods is system dependent, and that detailed analysis is required to select
the optimum control scheme. While often justifiable for large transmission applications, analysis of
distribution system capacitor applications is rarely performed, and in general, capacitor banks are installed
without transient overvoltage control.
Each of these transient control methods has various advantages and disadvantages in terms of transient
overvoltage reduction, cost, installation requirements, operating/maintenance requirements, and reliability.
Some of these techniques may be useful in controlling the transients when re-energizing a capacitor bank
before the voltage has decayed to near zero.
Pre-insertion resistors and inductors:
Using a pre-insertion resistor or inductor on the switching device provides a means for reducing the
transient currents and voltages associated with the energization of a shunt capacitor bank. The impedance is
“shorted-out” (bypassed) shortly after the initial transient dissipates, thereby producing a second transient
event.
The performance of pre-insertion impedance is evaluated using both insertion and bypass transient
magnitudes, as well as the capability to dissipate the energy associated with the event, and repeat the event
on a regular basis.
Pre-insertion resistors are one means for controlling capacitor energizing transients. The optimum resistor
value for controlling capacitor energizing transient depends primarily on the capacitor bank size and the
source strength including any back-to-back capacitor switching. The resistor size is normally based on
equalizing the initial transient of resistor closing with the subsequent transient of resistor bypass (shorting).
Pre-insertion inductors, which were traditionally used primarily for overcurrent control for back-to-back
capacitor switching applications also provide transient overvoltage magnitude reduction. The degree of
overvoltage reduction achieved is largely determined by the relative size of the source inductance and the
resistance and inductance of the pre-insertion inductor. Pre-insertion inductors are generally very effective
for overvoltage reduction if the inductance is equal to or greater than the source inductance. Pre-insertion
inductors with high resistance further increase reduction in overvoltages by increased damping of the
oscillatory transient portion of the capacitor-switching voltage transient.
Synchronous closing control:
Synchronous closing is independent contact closing of each phase near a voltage zero, as illustrated in
Figure 12 for an ungrounded capacitor bank. To accomplish closing at or near a voltage zero (avoiding high
prestrike voltages), it is necessary to apply a switching device that maintains a dielectric strength sufficient
to withstand system voltages until the contacts touch. Because of variations from operation to operation,
closing every operation at precisely voltage zero across the contacts is not possible. Previous studies have
indicated that a closing consistency of 1.0 ms provides overvoltage control comparable to properly sized
pre-insertion resistors. The success of a synchronous closing scheme is often determined by the ability to
repeat the process under various system and climate conditions.
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Close third phase
Close first two phases
Per unit voltage
1.5
1
0.5
0
-0.5
-1
-1.5
0
360
720
Capacitor bank
neutral voltage
1080
Electrical degrees
Figure 12 — Concept of synchronous closing control for ungrounded wye banks
Grounded banks are controlled by closing each phase as the phase-to-ground voltage goes through zero.
Ungrounded capacitor banks are controlled by closing the first two phases at a phase-to-phase voltage zero
and then delaying the third phase by 90 degrees (capacitor bank neutral to third phase voltage zero).
Surge arresters:
Surge arresters can limit the transient voltages to the arrester’s protective level (maximum switching surge
protective level, typically 1.8–2.5 pu) at the point of application. Surge arresters are often used to protect
equipment affected by capacitor bank switching such as radially-fed transformer terminals (6.2.1.2) and
lower voltage capacitors where voltage magnification may occur (6.2.1.7.1). Care should be taken in
arrester selection to ensure that arrester energy duty is not exceeded during restriking in the capacitorswitching device or due to voltage magnification. (See also Clause 8.)
6.2.1.7 Power quality considerations
Capacitors may affect power quality in several ways, the two predominant ways being harmonic resonances
and switching surges. Harmonic concerns are discussed in Clause 7. Switching surge power quality issues
involve voltage magnification, motor drive trips, temporary overvoltages, and ferroresonance. These
aspects are discussed in this clause.
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6.2.1.7.1 Voltage magnification
Voltage magnification occurs when the transient caused by energizing a capacitor bank excites a resonant
oscillation in a capacitor bank or cable circuit at a lower voltage (Shultz, Johnson, and Shultz [B9]). Figure
13 illustrates a system on which this phenomenon might occur.
230kV Bus
(ignore line impedance)
10 MVA
Ztx = 10.0%
3000 MVAsc
97 MVAsc
50MVAr
13.2kV Bus
1.8MVAr
1000 kVA
Ztx = 5.5%
15 MVAsc
fs230 kV = fsystem *
M VA sc
3000
= 60 *
= 465Hz
M VA r
50
480V Bus
450kVAr
10 HP ASD
Figure 13 — System diagram for magnification condition
Figure 14 shows the equivalent circuit. There are two coupled inductive-capacitive circuits. If the resonant
frequencies of these two loops are approximately the same, voltage magnification can occur. The
frequencies of the two loops can be compared by comparing (L1 × C1) to (L2 × C2) (see 6.2.1.1). The
worst magnified transients occur when the following conditions are met:
⎯
The vars of the switched capacitor bank are significantly greater than (>10 times) the vars of the
lower voltage capacitor bank (i.e., 50 Mvar versus 1.8 Mvar is a ratio of approximately 28).
⎯
The switching transient frequency (resonant frequency of the first loop) is close to the resonant
frequency of the lower voltage loop. These frequencies can be calculated by Equation (22).
S sc Mva
f transient = f supply
Qc Mvar
(22)
where
ftransient is the switching transient frequency
fsupply
Ssc
Qc
is the nominal frequency of the source
is the short-circuit MVA at the location of the capacitor bank
is the rated Mvar of the capacitor bank
For example, the calculation indicates that the transient frequency will be 465 Hz at the 230 kV
bus vs. 440 Hz at the 13.2 kV bus in the power system of Figure 13.
⎯
There is relatively little damping (resistive) provided by the low voltage load (i.e., a primarily
inductive motor load)
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L1
L2
C1
C2
Figure 14 — Equivalent circuit for magnification condition
Figure 15 illustrates a representative simulation of this phenomenon. These voltage magnitudes may be
high enough to sparkover gap type silicon carbide surge arresters at the lower voltage capacitor or cable.
Surge arresters should be capable of withstanding the event; however, this should be verified by
appropriate analysis and simulations. The magnified surge at the lower voltage can be from 2.0 to 4.0 per
unit and may occur for a wide range of capacitor sizes.
Energizing Transient
2.5
2.0
1.5
Voltage (pu)
1.0
0.5
0.0
-0.5
-1.0
-1.5
-2.0
-2.5
60
80
Time (ms)
100
120
Low Voltage Transient
2.5
2.0
1.5
Voltage (pu)
1.0
0.5
0.0
-0.5
-1.0
-1.5
-2.0
-2.5
60
80
Time (ms)
100
120
Figure 15 — Magnification of transient at remote capacitor bank
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The magnified surges can be a significant problem because capacitor switching is often a daily event.
Repetitive surges of high magnitude may eventually damage equipment and may result in severe arrester
duty. The damage is generally confined to surge protective devices or nuisance tripping of a power
electronic device. Occasionally, other sensitive equipment is damaged.
The problem can usually be remedied as follows:
a)
b)
c)
d)
e)
Detuning the circuit by changing capacitor bank sizes or moving or removing capacitor banks from
service.
Equipping the switching device with a transient reduction scheme such as pre-insertion resistors,
pre-insertion reactors or synchronized closing control to limit voltage surge magnitudes (see
6.2.1.6).
Applying surge arresters at the lower voltage capacitor.
Adding a reactor to the lower voltage capacitor for detuning.
Switching large capacitor banks in more than one step (Shultz, Johnson, and Shultz [B9]). For
example, switch 50 Mvar in two steps of 25 Mvar each.
6.2.1.7.2 Tripping of adjacent motor drives due to capacitor switching
Capacitor switching can result in unplanned shutdown of adjustable speed motor drives because of either
transient overvoltages or multiple zero-crossings of the voltage waveform. Overvoltage tripping can occur
in adjustable-speed drives when capacitor-switching transients result in a surge in internal voltages. Drives
of the voltage source type with an uncontrolled source converter (using rectifier diode elements without
source line reactors) can allow network transient voltage swings to result in a higher than normal voltage on
the dc link capacitor. Figure 16 shows the power circuit schematic for such an adjustable-speed drive. The
drive trips because an overvoltage is detected on the dc bus. Typically for the protection of the dc capacitor
and inverter components, the dc bus voltage is monitored and the drive tripped when this voltage exceeds a
preset level. This level may be as low as 760 V pk (for a 480 V rms application), which is only 117% of the
nominal dc voltage.
dc Link
ac Choke
AC
Motor
Diode Bridge
Converter
PWM
Inverter
Figure 16 — Adjustable speed motor drive—voltage source inverter type with uncontrolled
source converter
Figure 17 shows an energizing event where the drive overvoltage protection initiates a trip signal shutting
down the drive. Although the overvoltage protection correctly initiated a trip signal, it is generally
preferable that the drive and motor remain in service. The simplest method for avoiding the tripping event
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is the addition of a reactor in series with the individual drive. Typically, a value of 3%–5% (on the drive
kVA base) is sufficient to reduce the dc voltage below the trip level. Although this solution is simple, it
may require many reactors in plants with a large number of drives to protect. An alternative solution is to
apply a transient reducing technique to the capacitor-switching device (6.2.1.6) (Bellei, O’Leary, and
Camm [B13] and Hensley et al. [B15] [B16]).
Utility Distribution Bus Voltage
2.5
2.0
1.5
V o lt a g e ( p u )
1.0
0.5
0.0
-0.5
-1.0
-1.5
-2.0
-2.5
60
80
100
120
Time (ms)
Customer Low Voltage Bus Voltage (phase-to-phase)
2.5
2.0
1.5
V o lta g e ( p u )
1.0
0.5
0.0
-0.5
-1.0
-1.5
-2.0
-2.5
60
80
100
120
Time (ms)
Customer Adjustable-Speed Drive dc Bus Voltage
1100
V o lta g e ( V )
1000
900
800
700
600
500
60
70
80
90
Time (ms)
100
110
120
Figure 17 — Transient voltage during capacitor switching
35
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Any electronic device using the power system voltage waveform for timing purposes may be confused by
multiple zero-crossings of the ac source waveform. Some adjustable-speed drives use this voltage
waveform as a reference to initiate firing pulses for the power electronics. One technique commonly used
to avoid this problem is to develop a synthetic voltage reference that is tied to the actual waveform by a
phase-locked loop.
6.2.1.7.3 Temporary overvoltages
Energizing a lightly loaded transformer and a capacitor bank together (Figure 18a and Figure 18b) can
cause excessive dynamic overvoltages that affect the transformer, the capacitors, the fuses, and the
arresters. These overvoltages may be evidenced by capacitor failures and/or spurious fuse operations. Even
when a capacitor bank is not switched with the transformer, energizing a lightly loaded transformer with
nearby capacitor banks in service may also excite a harmonic resonance (Figure 18c).
a.
b.
c.
Figure 18 — System diagrams for dynamic overvoltage conditions
The nature of the problem involves generation of high voltages due to the transformer inrush currents that
are rich in harmonics by a system whose natural frequency is near one of these harmonics. Transformer
inrush current includes significant magnitudes of harmonics of the fundamental frequency, i.e., second,
third, fourth, fifth, etc. The highest magnitudes tend to occur for the lowest order harmonics. If the system
equivalent impedance at one or more of those frequencies is high, then the voltage at the point will also be
high (V = IZ). This tends to happen when a shunt power capacitor bank is applied, causing a parallel
resonance with the system. The problem exhibits itself in the form of a long-term overvoltage, which has a
high harmonic content, lasting for many cycles—even seconds (see Figure 19).
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Phase A
2
V o lta g e ( p u )
1
0
-1
-2
0
50
100
Time (ms)
150
200
250
150
200
250
150
200
250
Phase B
2
V o lta g e (p u )
1
0
-1
-2
0
50
100
Time (ms)
Phase C
2
V o lta g e (p u )
1
0
-1
-2
0
50
100
Time (ms)
Figure 19 — Dynamic overvoltage on capacitors
Because arresters cannot effectively protect against steady-state or dynamic overvoltages, switching
transformers and capacitor banks together is not recommended unless detailed studies show that the
resulting overvoltages will not be excessive. This type of switching usually does not cause dynamic
overvoltages on distribution circuits because the resistive component of the connected load effectively
dampens this type of transient.
6.2.1.7.4 Ferroresonance
Grounded-wye, ungrounded-wye, and delta-connected capacitors may be subject to ferroresonant
overvoltages if they are switched together with transformer banks of certain winding connections with
single-pole switching devices or if a stuck pole should occur on a three-phase device. For the ungrounded
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capacitor, if the transformer has a grounded neutral or even if it consists of many single-phase transformers
applied about equally along the feeder, a potentially ferroresonant circuit exists if single-phase switching
devices are operated upstream. Both transformers and surge arresters have failed under these conditions. If
the transformer is three-phase ungrounded, then the grounded capacitor bank should be avoided for the
same reason. Although ferroresonance can and does occur on these circuits, it occurs only rarely because
resistive load on the transformers can prevent its occurrence.
6.2.2 De-energization
6.2.2.1 Interruption
One-half cycle after current interruption, the voltage across the switch contacts is twice the crest value of
the fundamental (for a grounded-wye capacitor bank) since the capacitor has retained its charge and the
supply voltage has reached its crest of the opposite value, as shown in Figure 20a.
The switch recovery voltage (instantaneous voltage across the open switch) expressed in per unit of the
crest phase-to-ground voltage, 2 3 × V LL , is
a)
2.0 per unit for a grounded wye bank and system
For an ungrounded wye or delta connected bank, the switch recovery voltage is normally 2.5 per unit but
can be higher as explained in items c) and d).
b) 2.5 per unit on the first phase to clear when the other two phases clear at the next current zero
c) 3.0 per unit on the first phase to clear when the other two phases delay clearing
d) 4.1 per unit on the first phase to clear when one of the other two phases delays clearing
NOTE—Even higher recovery voltages occur in some cases with capacitor bank insulator leakage.
-0.6
-0.7
1
System
voltage
Capacitor
Current
Voltage (per unit)
Voltage, Current (per unit)
2
0
Voltage between
switch contacts
(2 per unit)
-0.8
-0.9
-1
-1
Capacitor
voltage
-2
-180
-90
0
90
System voltage
without
capacitors
System voltage
with capacitors
-1.1
-180
180
Voltage angle (degrees)
Fast transient
following
interruption
-90
Capacitor
voltage
0
Voltage angle (degrees)
a) System frequency component of voltage
b) System frequency and high-frequency
component of voltage
Figure 20 — Capacitor and bus voltage during deenergizing
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The initial fast transient portion of the recovery voltage is less than twice the crest value of the regulation
voltage ΔV (Figure 20b). Since ΔV is usually less than 3%, the fast portion of the switch recovery voltage
is less than 0.1 per unit and places little stress on the switch interrupting capability. The low initial recovery
voltage and the relatively low current being interrupted allows for capacitor current interruption to occur
much earlier than interruption of system load and fault current.
Initial interruption with very small, almost zero contact separation. Successful interruption is dependent on
developing sufficient dielectric strength across the opening switch contacts to withstand the increasing
recovery voltage. If a breakdown occurs across the contacts before 90 electrical degrees following the
interruption, this attempt is called a reignition and another attempt will occur at the next current zero. This
process may repeat several times until a successful interruption is complete.
6.2.2.2 Restrike
A dielectric breakdown in the gap between the switch contacts, 90 or more electrical degrees after current
interruption, results in a restrike. A breakdown that occurs at the peak of the recovery voltage usually
results in a worst-case restrike. Figure 21 illustrates this phenomenon for one phase of a grounded-wye
capacitor bank.
3
Voltage (per unit)
2
1
System
voltage
0
Voltage
between
switch
contacts
-1
Capacitor
voltage
-2
-180
-90
0
90
180
Voltage angle (degrees)
Figure 21 — De-energizing capacitor bank with restriking switching device
One-half cycle after interruption on a grounded-wye capacitor bank, two times peak system line to ground
voltage (2 per unit) appears across the contacts. If a restrike occurs at this point, the capacitor attempts to
recover to crest voltage of the opposite polarity and, in doing so, over-shoots by the amount of the
attempted correction. The current waveform has the same frequency but will be twice the magnitude of the
normal oscillatory inrush current when closing at voltage peak. If this inrush is interrupted at a highfrequency current zero, as much as 3 per unit voltage may be trapped on the capacitor, and the restriking
process may continue with the subsequent buildup of even higher voltages.
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Even without a restrike, ungrounded-wye capacitor banks subject the capacitor switching device to higher
recovery voltages than the 2.0 per unit observed for grounded-wye capacitor banks:
a)
b)
c)
2.5 per unit on the first phase to open when the other two phases open on the next current zero
3.0 per unit on the first phase to open when the other two phases delay opening
4.1 per unit on the first phase to open when one of the other two phases delays opening
NOTE—Even higher recovery voltages will occur in some cases with capacitor bank insulator leakage.
If the interrupter is not able to withstand these recovery voltages, a restrike will occur.
Restriking capacitor bank switching devices can result in high system voltage surges that may result in
severe arrester energy duty or equipment damage if not protected adequately. Therefore, it is desirable to
choose a switching device that will minimize the possibility of restrike. A class “A” (IEEE Std 1247-2005)
or Class “C2” (IEEE Std C37.04-1999, IEEE Std C36.016, and IEC 62271-100) switching device will have
a reasonably low probability of restrike. Since all switching devices have some probability of restrike, the
effects of restrikes should be considered. It may be desirable to protect the equipment with the
appropriately sized arresters (McGranaghan, et al. [B7]). The arrester may be analyzed based upon the
energy associated with a restrike. If the standard arrester energy capability could be exceeded, a highenergy-capability arrester with a lower overvoltage protective level may be applied at the capacitor bank.
(See Clause 8 for additional surge arrester application information.)
6.2.2.3 Fault clearing
Faults within a capacitor bank may be cleared either by the dedicated switch for the capacitor bank or by
another switching device in the substation. In either case, the switch must be able to handle the recovery
voltage and the capacitive switching current that will occur on the unfaulted phases during a fault clearing
event. This is of special concern for circuit breakers that may be used to clear fault currents, but that may
not be rated for capacitance switching duty. (See IEEE Std C37.012-2005, ANSI C37.66-2005, and IEEE
Std 1247-2005 for additional details.)
6.3 Outrush current
The outrush current from large capacitor banks is a concern for any switching device that may close into a
nearby fault (McCauley, et al. [B6]). The result is that a high-frequency, high-magnitude current may flow
in a circuit breaker that is not rated for that duty. In ANSI C37.06-2009, circuit breaker inrush current
limitations are defined. These inrush limitations are also applied to the outrush considerations.
The circuit of concern for the outrush calculations is illustrated in Figure 22. The limiting criterion may be
as follows:
⎯
The circuit breakers or switches in the discharge path (ANSI C2, IEEE Std C37.012-2005, ANSI
C37.66-2005, IEEE Std 1247-2005, McCauley , et al. [B6])
⎯
Current transformers and/or relays
⎯
Induced voltages into control or secondary wiring
⎯
Sparking across fence gates, loose connections, etc.
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C1
SYSTEM
FAULT
Figure 22 — System diagram for outrush current condition
The limiting criterion from ANSI C37.06-2009 is sometimes the Ipk × f product. (See notes for Tables 1A,
2A, and 3A in ANSI C37.06-2009.) In many cases the Ipk × f product criterion is unnecessarily restrictive,
particularly with non-oil circuit breakers and small capacitor banks. Many installations have been made
with smaller reactors than required to meet the Ipk × f limitation of ANSI C37.06-2009, simply limiting the
outrush current into a fault to something less that the peak current capability of the switching devices or
12 kA (where oil circuit breakers or older substations may be involved) or 20 kA (where there are no oil
circuit breakers involved and the substation grounding can withstand the higher transient currents),
whichever is smaller (Harder [B12]).
It is interesting to note that this Ipk × f product is independent of capacitor size. In other words, the required
series inductance is dependent only on the peak voltage when the circuit breaker closes into the fault (see
the equations following Figure 23). Outrush is currently under study since the above treatment is likely to
cause problems with oil breaker ratings. Refer to ANSI C37.06-2009 for guidance.
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L2
L1
C1
I
V0
f =
1
2π Leq C1
i pk = V0
C1
Leq
i pk × f =
V0
2πLeq
where
f
C1
V0
L1
L2
Leq
= frequency of outrush transient current
= total capacitance of the discharging capacitor banks
= initial voltage on C1
= self-inductance of C1
= inductance between capacitor and fault
= L1 + L2
Figure 23 — Equivalent circuit for outrush current calculation
For three-phase capacitor banks, a reasonably conservative estimate of the peak outrush current is
i pk =
QC kvar
1000
×
3πf
L
where
ipk
f
QC
L
= peak current, kiloamperes
= power system frequency, Hertz
= Capacitor bank rating, three phase kvar
= Inductance per phase between capacitor bank and fault (microhenries)
For 60 Hertz systems this is approximately:
i pk ≈
For 50 Hertz systems this is approximately:
4 QC kvar
3
L
i pk ≈
3 QC kvar
2
L
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These formulas give a reasonable estimate of the transient peak current for phase-to-ground faults for
grounded wye capacitor banks and for phase-to-phase faults for all capacitor banks.
Transient reduction techniques discussed previously (closing resistors, synchronous closing, etc.) do not
affect the outrush current magnitude or frequency. The full outrush current occurs when the resistors are
bypassed.
With a parallel capacitor bank, there are a number of different ways to configure the capacitors and
required series reactors. A few of the options are indicated in Figure 24. Each option has advantages and
disadvantages.
Reactor to limit
outrush
Reactor to limit
outrush
Smaller
reactor
to limit
inrush
Single
reactor
to limit
inrush
Option 1(a)
Option 1(b)
Reactor to limit
outrush
Closing resistors, reactors,
and/or closing control
to limit inrush (does
not work in case of
restrike)
Series reactor
sized for inrush
and outrush
requirements
Option 2
Option 3
Figure 24 — Current limiting reactor options with parallel capacitor banks
Option 1: Separate reactors for inrush and outrush requirements. When a larger reactor is needed for
outrush, a common reactor for limiting outrush current, in addition to smaller reactors for inrush current
limiting, may be the optimum configuration. An alternate configuration for this scheme is shown in Option
1(b) of Figure 24. This alternate configuration has the advantage of only requiring two reactors while still
accomplishing the objectives of controlling both inrush and outrush currents.
Option 2: Reactor for outrush only, switching device limit inrush. If inrush current for back-to-back
switching can be limited to acceptable levels without current-limiting reactors, this is probably the most
economical configuration. Closing resistors, pre-insertion inductors or a closing control to close the
contacts near voltage zeros are common alternate methods to limit the inrush current. The single reactor is
used to limit outrush currents to acceptable levels. A disadvantage of this option is the high-current
magnitude and frequency that can occur in the event of a restrike on opening.
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Option 3: Series reactors sized for inrush and outrush in series with each capacitor bank. If the reactor cost
is not significantly dependent on its millihenry size, then this option may be more economical than Option
1. However, with two equal capacitor banks in parallel, the reactor millihenry value required to control
outrush may be more than double the single capacitor bank size.
6.4 Switchgear
6.4.1 Switchgear ratings
Switchgear applied to a capacitor bank should be rated for that specific duty. The key considerations
include the following:
⎯
Maximum service voltage
⎯
Available short-circuit current
⎯
Maximum continuous capacitive current
⎯
Transient inrush current during energization
⎯
Nominal system voltage
⎯
Transient recovery voltage during de-energization
⎯
Differential capacitance voltage (IEEE Std 1247-2005 and ANSI C37.66-2005)
⎯
Switching endurance (IEEE Std 1247-2005 and ANSI C37.66-2005)
⎯
Restrike performance classification
Table 5—Restrike performance classifications
Expected maximum probability of
restrike per three-phase operation
IEEE 1247
classification
IEC 62271-100
and
IEEE C37.04
classification
A
C2
.002
B
C1
.02 (Roughly equivalent to the old “Definite Purpose” circuit breaker as
defined in IEEE Std C37.04-1999)
C
—
Unspecified
These parameters are defined in more detail for circuit breakers in ANSI C37.06-2009, IEEE Std C37.09,
and IEEE Std C37.012-2005. These parameters are defined for Circuit Switchers in IEEE Std C37.016.
IEEE Std 1247-2005 covers capacitor switching requirements for interrupter switches and circuit switchers.
ANSI C37.66-2005 covers capacitor switches. IEC 62271-100 addresses capacitance current switching for
circuit breakers. These standards suggest using a continuous current rating for the circuit breaker that is
1.25 times the nominal capacitor current at rated capacitor voltage for ungrounded neutral operation and
1.35 times the nominal current for grounded neutral operation. Inrush current duties are defined in terms of
peak magnitude and frequency.
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6.4.2 Switchgear types
Shunt capacitor banks are typically switched by one of the following three types of switchgear:
a)
Circuit breakers: Circuit breakers have high fault interrupting capabilities. The interrupting
media most commonly used are vacuum and SF6. Other media used, especially in older
installations, are oil and air. In addition to switching the relatively low magnitude capacitor
bank current on a frequent basis, circuit breakers also provide short-circuit interruption for
major faults within the capacitor bank. Some circuit breakers may also be equipped with preinsertion resistors or synchronous closing control for reduction of closing transients (refer to
6.2.1.6). Circuit breakers for switching capacitors must be rated for capacitor switching (IEEE
Std C37.012-2005).
b) Circuit switchers: Circuit switchers have lower fault interrupting capabilities than circuit
breakers. The interrupting media is typically SF6 although the circuit may be energized via
contacts in SF6 or in air. The close-in-air style of circuit switcher can also be equipped with
pre-insertion impedance (inductor or resistor) for reduction of switching transients (refer to
6.2.1.6). Synchronous closing may also be available on some circuit switchers.
c)
Vacuum and oil switches and vacuum fault interrupters: Capacitor switches are not required
to have fault interrupting capability although they must be able to close in to a fault and latch
closed. Fault interrupters have limited interrupting fault capability. Vacuum switches are used
for switching medium voltage and high voltage capacitor banks. Oil switches are generally
limited to distribution banks. Synchronous closing control is sometimes used with vacuum
switches for transient reduction (refer to 6.2.1.6).
For circuit switchers, interrupter switches, and capacitor switches, IEEE Std 1247-2005 provides for three
classes of capacitive current switching: classes A, B, and C. Class C does not require any additional testing
to prove the restrike performance of the switching device. Class B requires moderate testing to prove the
restrike performance. Class A requires extensive testing of restrike performance. In general, class A devices
have a very low probability of restriking; class B devices have a low probability of restriking; and class C
devices have an unknown probability of restriking.
For circuit breakers, IEEE Std C37.04-1999 and IEC 62271-100 provide for two classes of capacitive
current switching: class C1 and class C2. Class C1 requires moderate testing to prove the restrike
performance, which is roughly equivalent to the old “definite purpose” circuit breakers as defined in IEEE
Std C37.04-1999. Class C2 requires extensive testing of restrike performance. In general, class C2 circuit
breakers have a very low probability of restriking; and class C1 circuit breakers have a low probability of
restriking.
The selection of a particular type of switchgear will be influenced by protection philosophy, short-circuit
and transient current capability of the available devices, frequency of operation, effectiveness of transient
reduction technique, reliability, and cost.
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7. Harmonics
The levels of harmonic voltage and current on power systems are increasing. One important reason is the
proliferation of devices that produce harmonics; solid-state power conversion devices are prime examples.
These devices find uses at wide ranges of power levels industrially, commercially, and in the home for
voltage control, speed control, frequency changing, and power conversion, generally at a lower cost, with
increased efficiency and reduced maintenance as compared to the devices they replace. The use of shunt
power capacitors to improve system operating efficiencies also has a significant influence on harmonic
levels. Capacitors do not generate harmonics, but provide network loops for possible local or general
resonance conditions. Even though capacitors do not generate harmonics, they can influence the
magnitudes of harmonic voltages and currents that occur on the utility system as well as the customer loads
(Arrillaga, et al. [B1]).
The proper application of capacitors in a harmonic environment is determined by the following factors:
a)
b)
c)
Capacitor unit limitations as defined in IEEE Std 18-2002.
System distortion limits as recommended in IEEE Std 519-2004.
Other operating and application considerations of the shunt power capacitor bank.
Harmonic conditions may require the capacitor to be designed as a harmonic filter. IEEE Std 1531-2003
provides guidance on the proper application and specification of harmonic filter components.
7.1 Capacitor limitations
The effect of the harmonic components on the capacitor bank is to cause additional heating and higher
dielectric stress. IEEE Std 18-2002 gives limitations on voltage, current, and reactive power for capacitor
banks, which can be used to determine the maximum allowable harmonic levels. Capacitors are intended to
be operated at or below their rated voltage and frequency. IEEE Std 18-2002 indicates that capacitors are
capable of continuous operation under contingency system and capacitor bank conditions provided that
none of the limitations given in 5.2.2.1 are exceeded
Despite this attempt to overrate the capacitors for unusual conditions, such as harmonics, many harmonic
problems show up first at shunt power capacitor banks, either in the form of blown fuses or capacitor unit
failures. The reason for this is that capacitor banks are in many cases part of a resonant loop, resulting in
magnification of specific harmonic components. The resulting harmonic voltages and currents are highest
at the capacitor bank.
If harmonic currents are above the allowable limits, one or more of the following remedies should be
undertaken:
a)
Relocation of the capacitors to other parts of the circuit may reduce overcurrent due to partial
resonance.
b) Capacitors may be switched off the circuit during periods in which overcurrents are likely to occur.
Automatic control actuated by change in current, change in voltages, change in reactive power, or by
time switch may be used.
c)
Removal of capacitor bank neutral ground, if present.
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CAUTION
Capacitor bank insulation and switch load interrupting rating may be inadequate if the neutral is
disconnected. Make sure the switch is rated for the increased transient over voltage
d) If these remedies fail, it may be necessary to resort to the use of a harmonic filter. This guide does not
cover harmonic filters, which may have significant harmonic current and/or harmonic overloads.
Higher frequency harmonic currents will generate significantly more heating than power frequency
currents of the same rms magnitude and may cause fuse operations and connection overheating and
failure. Applications with significant harmonic loading represent unusual service conditions not
covered by this guide and should be referred to the manufacturer.
7.2 Distortion limits
The recommended voltage distortion limits from IEEE Std 519-2004 are summarized in Table 6. In
general, waveform distortion is usually described by its total harmonic distortion (THD). Voltage THD is
defined as follows:
∞
∑VH2
THD =
n=2
V1
× 100%
where
THD is the total harmonic distortion
VH is the magnitude of the voltage at harmonic H
V1
is the magnitude of the voltage at the fundamental frequency
Table 6—Voltage distortion limits for medium- and
high-voltage power systems
Power system voltage level
(kV)
Total voltage THD
(%)
69 and below
5.0
Greater than 69 through 161
2.5
Greater than 161
1.5
7.3 Operating and application considerations
Other operating and application conditions that should be included in evaluating the harmonic condition are
given as follows:
a)
The system operating voltage at a capacitor location may exceed the nominal rating, often
approaching 105%.
b)
Unbalances within a capacitor bank, due to capacitor element failures and/or individual fuse
operations result in overvoltages on some capacitor units. Typically individual capacitor unit
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voltages are allowed to increase by 10% before unbalance protection removes the capacitor bank
from service.
c)
If a system has been analyzed to ensure that the THD is less than the levels defined by IEEE Std
519-2004 under normal conditions, it is possible that the distortion will increase significantly
during capacitor bank unbalance conditions, since the change of capacitance will change the system
tuning.
d)
Fuse ratings, on externally fused banks, are typically chosen based on currents anywhere in the
range of 125% to 165% of capacitor nominal current. (Note that some fuses and fuse links may
have continuous current capability substantially higher than their current rating, in which case the
fuse rated current may actually be less than the nominal capacitor current.)
e)
Capacitors are allowed a capacitance tolerance of –0 to +10% by IEEE Std 18-2002. Older
capacitors may have a tolerance as high as –0 to +15%.
7.4 Harmonic “problems”
Harmonic problems may result in blown fuses, failed capacitor units, damaged control transformers, and
misoperating relays. Although transformers can be a major harmonic producer on distribution systems,
devices that utilize arcs (arc furnaces, arc welders) or electronic power converters (e.g., computers, variable
speed motors, dc motors, chemical processes, uninterruptible power supplies) have become significant
harmonic sources on some feeders. With the rise of distributed resources (generation and storage) on
distribution systems, as well as the widespread use of electronic power converters for other uses, a
harmonic problem should be considered—and investigated—in the event of unexplained capacitor bank
equipment failure or malfunction. IEEE Std 519-2004 recommends voltage THD limits as stated in Table 6.
The usage of shunt power capacitors to improve system operating efficiencies also has a significant
influence on harmonic levels. Capacitors do not generate harmonics, but provide a network path for
possible local or general resonance conditions. Even though capacitors do not generate harmonics, they can
influence the magnitudes of harmonic voltages and currents that occur on the utility system as well as the
customer loads.
If harmonic problems are discovered through measurement, analysis, or experience, possible solutions
include the following:
a)
b)
c)
d)
e)
Ungrounding grounded-wye capacitors.
Changing capacitor bank sizes and/or locations.
Adding a reactor to an existing capacitor bank.
Adding a filter capacitor.
Controlling the capacitor switching scheme to avoid resonance.
8. Surge arresters
8.1 Substation applications
Surge arresters may be applied at the capacitor bank to limit transient overvoltages on the capacitor as well
as on other system equipment (see also 6.2.1.6). Due to the low surge impedance of large high-voltage
shunt capacitor banks, it may not be necessary to add arrester protection against lightning beyond that
which already exists in the substation. However, additional protection may be needed at the station and in
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the vicinity to protect equipment from overvoltages caused by capacitor switching. Severe duty can be
imposed on arresters adjacent to shunt capacitor banks during switching, particularly due to restriking in
the capacitor-switching device, as noted in 6.2.2.2. This may require arresters with higher than normal
energy dissipation capability. Some existing surge arresters, in particular gapped silicon-carbide, may have
to be replaced with surge arresters of higher energy capability because of the higher duty imposed by the
addition of shunt capacitors. Applying surge arresters on the capacitor side of the switch can help to reduce
switch recovery voltages for an ungrounded-wye capacitor bank. Surge arresters on the neutrals of
ungrounded shunt capacitor banks can reduce switch recovery voltages and neutral overvoltages. See
McGranaghan, et al. [B7] for a detailed discussion.
Capacitors connected to exposed bus may require surge protection by surge arresters located close to the
capacitor bank. If capacitors are located indoors, the arresters may be located at the line entrance to the
building. Installation should be made in accordance with the latest industry standards for surge arresters.
Capacitors connected between the line and grounded neutral are effective in reducing the slope of a
traveling wave front. However, the available energy will sometimes be sufficient to damage unprotected
capacitors.
When determining the protective margin for capacitor units, there are two considerations. (1) The
protective level of the surge arrester is compared with the BIL of the capacitor unit or bank, applying the
usual margins found in IEEE Std C62.2-1987 and IEEE Std C62.22-2009. This determines the protection of
the capacitor bushings and major insulation (case wrapper). (2) When considering the voltage between the
capacitor unit terminals, the maximum allowable voltage is given in 5.2.3.3. (Capacitor units are not
capable of withstanding BIL between the terminals.) The capacitance of the capacitor unit slows the rate of
rise of high-frequency transient voltage across its terminals to much slower rates than a BIL wave, more
comparable with a switching surge. Thus the transient overvoltage capability of the capacitor unit, as given
in 5.2.3.3, is compared with the arrester’s switching surge protective level (rather than 8/20 μs discharge
voltage) at the maximum expected discharge current. If the switching surge protective level at maximum
discharge current is not available, an approximation may be made by using 95% to 97% of the
manufacturer’s published protective levels for 8/20 μs discharge current waves. Published values usually
range from 1.5 kA to 40 kA. The 8/20 μs protective levels tend to be 3% to 5% higher than the voltages
produced by switching surges (45 μs to 60 μs rise time) at the same current magnitudes. Since the
overvoltage capability of 5.2.3.3 already includes a margin, no additional margin is normally applied for
surge arrester application.
This method applies to metal oxide arresters without series gaps. For arresters with series gaps, consult the
manufacturer for switching surge protective levels.
8.2 Distribution applications
Lightning surges and the switching of capacitors can result in significant system overvoltages. Surge
arresters may be applied at the capacitor bank to limit these transient overvoltages (see IEEE Std C62.222009 and IEEE Std C62.2-1987). Restrikes in the switching device can cause the highest transients.
Significant transient overvoltages can also occur at the capacitor bank due to surge magnification of
resonant circuits on the power system associated with switching of a remote capacitor bank, cable, or
transmission line (Shultz, Johnson, and Shultz [B9]) (see 6.2.1.7.1 for more detailed information).
Generally, arresters are installed on the system side of the capacitor fuse, and as close as possible to the
capacitor bank. The connections should be kept as short as possible, in order that the voltage stress upon
capacitor unit insulation is minimized. Placing the arrester on the source side of the fuse protects the fuse
support and reduces the surge current through the fuse. This is most important for small capacitor banks on
high-voltage systems where fuse sizes of less than 15 amperes are common.
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When determining the protective margin for capacitor units, there are two considerations. (1) The
protective level of the surge arrester is compared with the BIL of the capacitor unit, applying the usual
margins found in IEEE Std C62.2-1987 and IEEE Std C62.22-2009. This determines the protection of the
capacitor bushings and major insulation (case wrapper). (2) When considering the voltage between the
capacitor unit terminals, the maximum allowable voltage is given in 5.2.3.3. (Capacitor units are not
capable of withstanding BIL between the terminals.) The capacitance of the capacitor unit slows the rate of
rise of high-frequency transient voltage across its terminals to much slower rates than a BIL wave, more
comparable with a switching surge. Thus the transient overvoltage capability of the capacitor unit, as given
in 5.2.3.3, is compared with the arrester’s switching surge protective level (rather than 8/20 μs discharge
voltage) at the maximum expected discharge current. If the switching surge protective level at maximum
discharge current is not available, an approximation may be made by using 95% to 97% of the
manufacturer’s published protective levels for 8/20 μs discharge current waves. Published values usually
range from 1.5 kA to 40 kA. The 8/20 μs protective levels tend to be 3% to 5% higher than the voltages
produced by switching surges (45 to 60 μs rise time) at the same current magnitudes. Since the overvoltage
capability of 5.2.3.3 already includes a margin, no additional margin is normally applied for surge arrester
application.
This method applies to metal oxide arresters without series gaps. For arresters with series gaps, consult the
manufacturer for switching surge protective levels.
9. Substation shunt power capacitor bank applications
This clause describes the considerations for applying shunt power capacitor banks in a substation
environment. It includes both distribution and transmission system applications. It does not include
distribution line applications, which are discussed in Clause 10.
9.1 Capacitor bank connections and grounding
9.1.1 Connection and grounding considerations
There are three basic capacitor bank configurations: grounded wye, ungrounded wye, and delta. Deltaconnected capacitors are generally only used at low voltages, e.g., 2400 V, where a standard capacitor
rating is not available for a wye connection. Usually, wye-connected capacitor installations are less
complicated to construct and more economical.
On ungrounded, impedance grounded, or uni-grounded (grounded only at the source transformer, which is
not at the capacitor location) systems, only ungrounded-wye and delta capacitor bank configurations should
be used. On effectively grounded systems, grounded-wye, ungrounded-wye, and delta configurations may
be used.
There are certain advantages and disadvantages associated with grounded-versus-ungrounded-wye
capacitor banks. The advantages of the grounded-wye arrangement compared to the ungrounded wye are as
follows:
⎯
Initial cost of the capacitor bank may be lower since the neutral does not have to be insulated from
ground at full system BIL, as in the case with floating neutral arrangements.
⎯
Capacitor switch recovery voltages are reduced.
⎯
Mechanical duties (e.g., seismic) may be less severe for the structure.
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The disadvantages of the grounded-wye arrangement compared to the ungrounded wye are as follows:
⎯
High inrush currents may occur in station grounds and structures, which may cause instrumentation
problems.
⎯
Grounded neutral may draw zero-sequence harmonic currents and cause telephone interference.
⎯
A fault short circuiting one phase of the capacitor bank results in a system line to ground fault.
⎯
Limiting fuses necessary because of the line-to-ground fault magnitudes.
Ungrounded wye banks do not permit zero sequence currents, third harmonic currents, or large capacitor
discharge currents during system ground faults. (Phase-to-phase faults may still occur resulting in large
discharge currents.) The neutral, however, should be insulated for full-line voltage, since it is momentarily
at phase potential when the bank is switched or when one capacitor unit fails in a bank configured with a
single group of capacitor units.
Delta-connected banks are generally used only at distribution voltages and are configured with a single
series group of capacitor units rated at line-to-line voltage. Delta-connected banks require two-bushing
capacitor units or single-bushing capacitor units with insulated racks. Delta-connected banks are frequently
used at 2400 V, since capacitor units for wye connection at 2400 V are not readily available.
9.1.2 Substation ground grids
The design of the substation ground grid and the connections of the respective bank neutrals to the
substation grid are of prime importance. Improper grounding can result in neutral current transformer,
voltage transformer, or control cable failures. Two methods of neutral grounding have been successfully
used: single point grounding and peninsula type grounding. See Figure 25 and Figure 26.
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Substation
bus
Switch
Switch
Switch
Schematic
Substation
ground mat
Substation
view
Figure 25 — Single point grounding
With single point grounding, the neutrals of all capacitor banks of a given voltage are connected together
with insulated cable, or an isolated bus, and tied to the substation ground grid at only one point. This
arrangement prevents high-frequency currents that flow between banks during back-to-back switching from
flowing in the ground grid. In the event of a nearby ground fault, however, this arrangement does not
eliminate those high frequency currents that flow back into the power system via the substation ground
grid.
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The peninsula ground grid
connects to main station
ground grid under
buswork at the edge of the
capacitor area
Switch
Switch
Switch
The shaded area shows
the location of the
peninsula ground grid
Capacitor bank grounds (for
grounded capacitor banks)
Substation
view
Figure 26 — Peninsula grounding
With peninsula grounding, the ground grid in the capacitor area is built under the capacitor banks and
buswork, in a form resembling a series of peninsulas. One or more ground grid conductor(s) is carried
underneath the capacitor rack of each phase of each group and tied to the main station ground grid at one
point at the edge of the capacitor area. All capacitor bank neutral connections are made to this isolated
peninsula ground grid conductor(s) only (Arrillaga, et al. [B1]). Although this arrangement allows the
capacitor bank neutral potential (and associated current transformers and voltage transformers) to rise
during capacitor bank switching, it does help reduce these transients in the rest of the substation. See Figure
25 and Figure 26.
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If single point grounding is used, there will be substantial voltage (tens of kV) between the ends of the
neutral bus and the single point ground during switching. (The use of shielded cable between the capacitor
bank neutral and the single point ground, with the shield grounded to the local ground at both ends, will
help reduce the voltage stress on measuring equipment at the neutral end of the capacitor bank.) As a result,
the primary to secondary insulation of neutral current transformers, or voltage transformers, will be
subjected to a high voltage, increasing the possibility of failure. A voltage transformer with two bushings
should be used with the primary connected to the capacitor bank neutral and to the station ground grid.
This does not occur with peninsula grounding, since all equipment at the neutral tends to rise to the same
potential. Therefore, peninsula grounding coordinated with control cable shielding and grounding produces
safer levels of common-mode voltages appearing on control cables in the control house.
Single point grounding and peninsula grounding may be used together. It is desirable for all capacitor banks
of the same system voltage to use the same grounding scheme in the same substation.
9.2 Capacitor bank types
This guide covers the following three types of capacitor bank designs:
⎯
Externally fused
⎯
Internally fused
⎯
Fuseless
9.2.1 Externally fused
An externally fused capacitor bank uses capacitor units that are individually fused by expulsion and or
current limiting type fuses mounted external to the capacitor unit. The capacitor unit is made of groups of
parallel elements connected in series. The current through a failed capacitor increases with subsequent
element failures until the Time Current Curve of the applied fuse is exceeded and the fuse operates to
isolate the failed capacitor.
The BIL of the capacitor bushing and the internal insulation of the capacitor unit are typically determined
by the rated voltage of the capacitor units. This is the case in most externally fused capacitor banks where
the voltage between the fuse bus and the rack is equal to the voltage across one capacitor unit.
An externally fused capacitor bank of a given size and voltage rating may be made up of a number of series
and parallel groups. Use of capacitor units with the highest possible voltage rating will result in a capacitor
bank with the fewest number of series groups. This generally provides the simplest rack structure and the
greatest sensitivity for unbalance detection schemes.
The number of capacitor units in parallel per series group is governed by both a minimum and maximum
limitation. The minimum number of capacitor units per group is determined by the overvoltage
considerations upon isolation of one capacitor unit in the group and also having sufficient overcurrent
through a fuse on a faulted capacitor unit to blow the fuse in a reasonably short time (so that the unbalance
protection does not require a long time delay). SeeFigure 27.
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Capacitor racks
A
B
C
Figure 27 — Schematic of an externally fused capacitor bank, single wye, 11 capacitors per
series group, 4 series groups per phase
The maximum number of capacitor units that may be placed in parallel per series group of an expulsion
fused bank is governed by a different consideration. When a capacitor unit fails, other capacitors in the
same parallel group will contain some amount of charge. This charge will drain off as a high-frequency
transient current that flows through the failed capacitor unit and its expulsion fuse. The fuse holder and the
failed capacitor unit should withstand this discharge transient without rupturing the failed capacitor or its
fuse. To minimize the probability of failure of the expulsion fuse holder or rupture of the capacitor unit
case, the total energy stored in a parallel connected group of capacitor units at maximum peak voltage
should not exceed the discharge energy capability of the fuse or the faulted capacitor unit. If a capacitor
bank having the minimum number of series groups exceeds the discharge energy limitt per series group,
capacitors units of a lower voltage rating requiring more series groups and fewer capacitor units in parallel
per group may be a suitable solution. Another possible solution is to split the bank into two sections (as a
double wye). Current limiting fuses may be used in place of expulsion fuses to allow higher levels of
parallel stored energy with less risk of capacitor unit or fuse rupture.
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9.2.2 Internally fused capacitor banks
An internally fused capacitor bank may be built up from a number of series and/or parallel connected
capacitor units. The interior of a capacitor unit consists of a number of parallel and series connected groups
of elements to meet the electrical requirements (voltage and capacitance). One fuse is connected in series
with each capacitor element.
When a puncture or a short-circuit occurs in a capacitor element, the current through the fuse increases in
proportion to the number of elements connected in parallel. This increase is sufficient to melt the fuse
within a very short time. If the puncture occurs at an instant when the voltage lies close to its peak value,
which is the most likely event, the energy in the charged parallel elements will make an extra contribution
to the melting. This interruption takes place extremely rapidly in a correctly applied fuse, generally within a
few milliseconds. The capacitor units are designed with a large enough number of elements in parallel so
that the operation of one fuse does not result in too much increase in voltage on the remaining parallel
elements. Note that the operation of a fuse on an element results in a decrease in the capacitance of the
capacitor unit.
Figure 28 illustrates a typical capacitor bank utilizing internally fused capacitor units. In general, banks
employing internally fused capacitor units are configured with fewer capacitor units in parallel and more
series groups of capacitor units than are used in banks with externally fused capacitor units.
Capacitor racks
A
B
C
Figure 28 — Schematic of an internally fused capacitor bank, wye-wye configuration with
24 capacitor units per phase
It is usually desirable to have at least two capacitor units in parallel in each series group. In the event of a
large number of internal fuse operations in one capacitor unit, the other capacitor helps keep the terminal
voltage of the affected capacitor down. The maximum number of capacitor units that may be placed in
parallel per series group is governed by the parallel energy capability of the capacitor unit. The
manufacturer of the capacitor units should recommend the maximum number of capacitor units to be
connected directly in parallel.
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Internally fused capacitors usually have two bushings in order to keep the parallel groups of capacitor units
in one string isolated from the parallel groups of capacitor units in the adjacent string. The BIL of the
bushings and the internal insulation of the capacitor unit are determined by the maximum voltage to the
rack. The rack potential is established by connecting the racks to one series string of capacitor units.
9.2.3 Fuseless capacitor banks
A fuseless capacitor bank is not created by simply removing the fuses from a conventional fused capacitor
bank, but is a completely different capacitor bank arrangement that does not use fuses. When an all film
capacitor has a dielectric short, the film burns away, resulting in a weld between the foils. This type of
short creates a low resistance short, which should not generate large amounts of heat or gas, as long as the
current is limited through the short, allowing the capacitor to continue in operation indefinitely. Fuseless
capacitor bank designs were not commonly used with paper/film or all paper capacitors because dielectric
shorts were more likely to have localized heating and gassing with an increased probability of case rupture.
A fuseless capacitor bank is arranged with individual capacitors in series (called a “series string”)
connected between the phase terminals and ground or neutral. The sum of the individual capacitor unit
voltages in a string should equal or exceed the normal phase to ground or phase to neutral voltage of the
capacitor bank. The desired three-phase kvar of the capacitor bank is accomplished by putting series strings
of capacitor units in parallel as shown in Figure 29.
Once the desired phase to ground or phase to neutral rating of the capacitor bank is determined then a
capacitor unit voltage rating can be chosen to determine the number of capacitor units in the series string.
In determining the kvar rating of the capacitor units keep in mind the continuous current capability of the
available capacitor units. The string current should be limited to this value, as well as the value that is not
likely to create gassing through the fault (consult the manufacturer). A good starting point in the design of a
capacitor bank is to divide the total phase current, calculated from the desired three-phase kvar rating of the
capacitor bank, by the continuous current capability of the capacitor unit to find the minimum number of
strings required. Small fuseless capacitor banks may employ only a single series string per phase.
In a fuseless capacitor bank the number of parallel paths for inrush and outrush currents might be
significantly lower than a fused capacitor bank. This will subject the capacitor units to higher currents than
a fused capacitor bank. Once the number of strings is determined, calculate the magnitude of inrush current
each series string will be subjected to during isolated capacitor bank switching or back-to-back switching.
Divide this magnitude by the number of series strings to determine the magnitude of inrush current each
series string will be subjected to. Verify that the capacitor unit will handle this magnitude of current by
checking the transient current capability of the capacitor units (5.2.3.2) and/or consulting with the
manufacturer. It may be required to install some type of device to limit the inrush currents, such as series
reactors, pre-insertion inductors, or a switching device that has synchronous closing capability.
Fuseless capacitors usually have two bushings in order to keep the individual strings isolated from each
other. A standard externally fused capacitor unit may not have adequate bushings or internal case insulation
for a fuseless application. The BIL of the bushings and the internal insulation of the capacitor unit are
determined by the maximum voltage to the rack. All of the capacitor units in a series string will probably
not be in the same rack, but will be connected together in different racks as shown in Figure 29. These
things should be considered in determining the stacking arrangement of the capacitor bank.
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Capacitor racks
A
B
C
Figure 29 — Schematic of a fuseless capacitor bank with 2 strings per phase, 12 capacitor units
per string
The rack potential is established by connecting the racks to one series string of capacitor units. The
bushings and internal case insulation must withstand the voltage from the rack to the outside bushings of
the capacitor units, in the same string, in that rack. For example, if four, 9.96 kV capacitor units in the same
series string are mounted in the same rack, the rack potential would be tied to the midpoint of those four
capacitor units. The voltage from the rack to the outside bushings of these four capacitor units will be
19.92 kV. Therefore, the bushings and the internal insulation of the capacitor units must be rated a
minimum of 19.92 kV, 125 kV BIL. This requirement would be a higher insulation level than is required
for normal 9.96 kV capacitor units.
The higher external and internal insulation requirements for the capacitor units in the example above might
not be preferred, therefore requiring consideration of another capacitor unit voltage rating or a different
stacking arrangement. Changing the voltage rating on the capacitor unit could require a change in the kvar
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rating of the capacitor unit or the number of series strings in the capacitor bank. Changing the stacking
arrangement to only have two capacitor units from the same series string in the same rack would make the
voltage from the rack to the outside bushings only 9.96 kV, equal to the rating of the capacitor units, and
would allow use of 9.96 kV capacitor units with bushings and internal insulation rated for 9.96 kV and
95 kV BIL.
For system voltages less than 34.5 kV, the failure of a single element (where there are 10 elements or less
in a series string) may result in excessive voltage on the remaining elements requiring immediate removal
of the bank from service. The voltage across the remaining elements would increase by a factor of about
E/(E – 1), where E is the number of elements in the string.
All the variables discussed above should be considered to find the optimum design for the installation.
9.3 Protection
The following discussion is intended to complement IEEE Std C37.99-2000 (capacitor bank protection)
and IEEE Std C37.48-2005 (external capacitor fuses), in which the protection of shunt power capacitor
banks is considered in detail.
Occasional failures should be anticipated and a protective scheme should be provided that will reliably
detect and clear a faulted capacitor before
a)
A major fault develops that jeopardizes the circuit.
b) Gas pressure inside the faulted capacitor increases to the point where case rupture may occur, affecting
other equipment in the vicinity.
c)
The remaining capacitors are damaged by overvoltage (in ungrounded wye capacitor banks or in
capacitor banks with more than one series group per phase).
The protection of substation capacitor banks may include the following:
⎯
Capacitor fusing (see also fuseless capacitor banks, 9.2.3)
⎯
Unbalance relaying
⎯
Overcurrent relaying
⎯
Surge arresters
⎯
Phase voltage relays
⎯
Periodic visual inspections
Capacitor bank protection works best if all capacitor units have the same rating. Mixing capacitors of
different ratings in a capacitor bank will usually result in more complex considerations in setting the
unbalance protection.
9.3.1 Capacitor fusing
9.3.1.1 External capacitor unit fusing
The function of the capacitor fuse is to sense and indicate the failure of a single capacitor unit and remove
the capacitor unit from service fast enough to prevent case rupture and damage to other capacitor units. At
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the same time, it is desirable that the fuse withstand the normal capacitor bank conditions without spurious
operations.
To withstand normal conditions, it is desirable that the fuse be sized to withstand the following conditions:
a)
b)
c)
d)
e)
Maximum continuous current. This includes allowances for harmonics, capacitor unit tolerance,
and overvoltage.
Switching inrush current. This is a concern for back-to-back capacitor switching. Current-limiting
reactors or switching device pre-insertion inductors may be used to change the magnitude and
frequency of the inrush current to an acceptable level. Alternately, switching device pre-insertion
resistors may be used to reduce the current magnitudes to acceptable levels.
Restriking current. Significant fuse I2t duty may be produced by restriking of the switching device
during opening. Synchronous closing or pre-insertion inductors and resistors usually are not in the
circuit at the time of the restrike to limit the I2t.
Lightning surge currents. This is more of a concern for pole-mounted racks and is seldom a
problem for substation capacitor banks.
Discharge current into a failing capacitor unit. When a capacitor unit fails, i.e., shorts, the adjacent
capacitors discharge into it. The fuses on the good capacitors should withstand this high-frequency
outrush current into the failed capacitor units.
To ensure that the fuse will clear properly and prevent case rupture of the failed capacitor unit and damage
to other capacitor units, the fuse should be sized to
⎯
Withstand the maximum power frequency current expected.
⎯
Remove the failed capacitor unit without resulting in excessive overvoltages on good capacitor
units.
⎯
Coordinate with the capacitor case rupture curve for the failed capacitor unit (typical curves
indicating regions of high and low probabilities of case ruptures for capacitors with paper, paperfilm, or all-film dielectrics are illustrated in Figure 33).
⎯ Withstand the energy discharge from parallel good capacitor units to the failed capacitor unit.
In some applications, it may be difficult to meet all of these objectives. In such cases, trade-offs among the
criteria are necessary. For more information or detail on fuse application for protection of capacitor banks
please refer to IEEE Std C37-99 for application details.
In general, the operation of the individual fuses in capacitor banks involving more than one series group per
phase and in all ungrounded wye capacitor banks, irrespective of the number of series groups per phase,
will increase the voltage on the capacitors remaining in service. Figure 30 through Figure 32 show the
magnitude of overvoltages resulting from removal of various numbers of capacitors from the more
common capacitor bank connections. The protective scheme should include provision for disconnecting the
entire capacitor bank before the voltage on the remaining capacitors exceeds the values recommended in
5.2.3.1.
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Percent of nominal voltage on remaining capacitor
units in affected series group (% V)
IEEE Std 1036-2010
IEEE Guide for Application of Shunt Power Capacitors
116.0
Series groups (S) 16 6 4 3
2
114.0
112.0
110.0
%V =
108.0
100 S
⎛ %R ⎞
1 + ⎜1 −
⎟(S − 1)
⎝ 100 ⎠
106.0
104.0
102.0
100.0
0
4
8
12
16
20
24
28
Percent of capacitor units removed from one
series group (% R)
Figure 30 — Grounded wye-connected, Δ, or grounded double wye-connected capacitor bank:
Voltage on remaining capacitor units in series group vs. percentage of capacitor units
removed from series group
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Percent of nominal voltage on remaining capacitor
units in affected series group (% V)
IEEE Std 1036-2010
IEEE Guide for Application of Shunt Power Capacitors
116.0
Series groups (S) 16 6
3
2
114.0
112.0
110.0
%V =
108.0
100 S
⎛ % R ⎞ ⎛ 5 ⎞⎛ % R ⎞
S ⎜1 −
⎟ + ⎜ ⎟⎜
⎟
⎝ 100 ⎠ ⎝ 6 ⎠⎝ 100 ⎠
106.0
1
104.0
102.0
100.0
0
4
8
12
16
20
24
28
Percent of capacitor units removed from one
series group (% R)
Figure 31 — Ungrounded double wye-connected (neutrals tied together) capacitor bank:
Voltage on remaining capacitor units in series group vs. percentage of capacitor units
removed from series group
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Percent of nominal voltage on remaining capacitor
units in affected series group (% V)
IEEE Std 1036-2010
IEEE Guide for Application of Shunt Power Capacitors
116.0
Series groups (S) 16 6 3
2
114.0
112.0
1
110.0
%V =
108.0
100 S
⎛ % R ⎞ ⎛ 2 ⎞⎛ % R ⎞
S ⎜1 −
⎟
⎟ + ⎜ ⎟⎜
⎝ 100 ⎠ ⎝ 3 ⎠⎝ 100 ⎠
106.0
104.0
102.0
100.0
0
4
8
12
16
20
24
28
Percent of capacitor units removed from one
series group (% R)
Figure 32 —Ungrounded wye-connected or ungrounded double wye-connected (neutrals
isolated) capacitor bank: Voltage on remaining capacitor units in series group vs.
percentage of capacitor units removed from series group
Certain contingencies can result in blowing all fuses in a series group. On multiple series group and
ungrounded wye capacitor banks, the last fuse(s) to blow may not clear. The resulting arc even though short
lived can damage otherwise healthy capacitors etc.
On capacitor banks 230 kV and above, switched with multicontact devices employing grading capacitors,
even when the switching device is open, the grading current can keep these arcs burning indefinitely. This
has caused damage to fuse tubes and is generally undesirable.
9.3.1.2 Internal capacitor element fusing
The function of an element fuse is to disconnect a faulty element before any damage has been caused to the
remaining parts of the capacitor unit that will remain in service. Due to parallel stored energy the fuse
operates instantaneously after a puncture in its series connected element. No spurious fuse operations are
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allowed to occur under normal capacitor bank service conditions. In the protection of internally fused
capacitors it is important to trip the capacitor bank for conditions that will result in excessive voltage on the
individual element fuses or capacitor elements in the faulted capacitor unit, as well as protecting healthy
capacitor units from excessive overvoltages. When a low voltage system (less than 5 kV) requires a
grounded capacitor bank, the end user should make sure that the capacitor unit has more than a single series
group of fused elements.
To withstand normal conditions, it is desirable that the fuse be sized to withstand the following conditions:
a)
b)
c)
d)
e)
Maximum continuous current. This includes allowances for harmonics, capacitor unit tolerance,
and overvoltage.
Switching inrush current. This is a concern for back-to-back capacitor switching. Current-limiting
reactors or switching device pre-insertion inductors may be used to change the magnitude and
frequency of the inrush current to an acceptable level. Alternately, switching device pre-insertion
resistors may be used to reduce the current to acceptable levels.
Restriking current. Significant fuse I2t duty may be produced by restriking of the switching device
during opening. Synchronous closing or pre-insertion inductors and resistors usually are not in the
circuit at the time of the restrike to limit the I2t.
Lightning surge currents. This is more of a concern for pole-mounted racks and is seldom a
problem for substation capacitor banks.
Discharge current into a failing capacitor element. When a capacitor element fails, i.e., shorts, the
adjacent capacitor elements discharge into it. The fuses on the good capacitor elements should
withstand this high-frequency outrush current into the failed capacitor elements.
To ensure that the fuse will clear properly and prevent case rupture of the failed capacitor unit and damage
to other capacitor units, the fuse should be sized to
⎯
Withstand the maximum power frequency current expected.
⎯
Remove the failed capacitor element without resulting in excessive overvoltages on good capacitor
elements.
⎯
Withstand the energy discharge from parallel good capacitor elements into the failed capacitor
element.
9.3.2 Overcurrent relaying
In setting relays for fault current protection, the magnitude and time duration of inrush and outrush currents
should be considered so that false trips do not occur.
9.3.3 Unbalance relaying
9.3.3.1 External capacitor unit fusing
When a fuse blows in a capacitor bank, an increase in the fundamental frequency voltage occurs on the
remaining capacitor units in that series group. An unbalance detection scheme is employed to monitor such
conditions and to take action as required. This scheme usually includes two levels of action (see IEEE Std
C37.99-2000):
a)
Promptly trip the capacitor bank switching device for
1)
A level of unbalance that indicates a fault in the capacitor bank,
2)
Overvoltage on good capacitor units greater than 110%, or
3)
Excessive voltage on capacitor elements or fuses.
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This setting should be as fast as possible and coordinated with the maximum fuse clearing time.
The trip time delay is frequently as short as 0.1 s. Longer delay is sometimes required for protection
systems affected by system line to ground faults.
b)
Alarm for low level of unbalance. Overvoltage on good capacitor units is less than 110%. The delay
is usually 4 s or greater.
9.3.3.2 Internal capacitor element fusing
When a fuse operates, a voltage increase occurs across the remaining elements in that series group of
elements inside the capacitor unit and to a lower magnitude also across the capacitor units in parallel with
the capacitor containing the operated fuse.
An unbalance detection scheme is employed to monitor such conditions and to take action as required. This
scheme may include the following levels of action:
a)
Promptly trip the capacitor bank switching device for
1) A level of unbalance that indicates a fault in the capacitor bank,
2) Overvoltage on good capacitor units greater than 110%, or
3) More than the maximum allowable number of internal fuses blown (provided by the
manufacturer of the capacitor units).
This setting should be as fast as possible and coordinated with the maximum fuse clearing time.
The trip time delay is frequently as short as 0.1 s. Protection systems affected by system line to
ground faults are generally not good practice with internally fused capacitors.
Note that before tripping, the voltage on the healthy elements in parallel with failed elements
following operations may be of the order of 150% of normal. This group of elements is expected to
withstand normal switching without cascading failures. The acceptable value may be affected by
the capacitor bank design, system application, and the capability of the capacitor unit. See the
capacitor unit manufacturer for the acceptable value.
b)
Alarm for low level of unbalance. The alarm set point is typically halfway between the unbalance
signal associated with the trip level and the unbalance signal associated with all the fuses being
intact. The delay is usually 4 s or greater.
9.3.3.3 Fuseless capacitor bank protection
Each individual capacitor unit consists of many elements connected in series and parallel within the
capacitor unit to give the proper voltage and kvar rating. If one of these capacitor elements fails, the
capacitor bank may normally stay in service.
Since there are many individual elements in series between phase and neutral, there is very little increase in
the voltage on the remaining elements in that string. Therefore, the failure of an individual element does not
usually lead to the failure of additional elements in that string.
An unbalance protection scheme may include the following levels of action:
a)
Promptly trip the capacitor bank switching device for a level of unbalance, which indicates that
1) There is a fault in the capacitor bank,
2) The voltage on the remaining elements exceeds 110% of rated voltage, or
3) The number of series sections that make up one capacitor have shorted (consult the
manufacturer for this information). (Tripping the capacitor bank upon the equivalent of one
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shorted capacitor unit will also trip the capacitor bank for a capacitor unit terminal-to-case
insulation fault, which could result in case rupture.)
Use the lower of the two values, item 2) or item 3) for tripping.
This setting should be as fast as possible. The trip time delay is frequently as short as 0.1 s.
b)
Alarm for low level of unbalance. Overvoltage on good capacitor units is less than 110%. The delay
is usually 4 s or greater. An alarm from the unbalance protection on the capacitor bank can provide
indication of the failure of one or two individual elements, to allow the affected capacitor units to
be replaced at a convenient time.
9.3.4 Phase voltage relays
The application of capacitors inherently results in a voltage rise at that point in the system. To protect the
capacitors and other station equipment against long-term overvoltage conditions, phase overvoltage relays
are sometimes applied on one or more phases at the bus to trip the capacitor bank.
10. Capacitor applications on distribution lines
Shunt power capacitors applied to distribution systems are generally located on the distribution lines or in
the substations. This clause deals with those capacitors located on the distribution lines, which may be in
pole-mounted racks, pad-mounted capacitor banks, or submersible installations. (Substation applications
are discussed in Clause 9.) The distribution capacitor banks often include three to nine capacitor units
connected in three-phase grounded-wye, ungrounded-wye, or delta configurations. Since they are closer to
the load, capacitors located on the distribution lines represent a more effective means for supplying the
reactive power requirements while minimizing system losses.
On ungrounded, impedance grounded, or uni-grounded (grounded only at the source transformer) systems,
only ungrounded-wye and delta capacitor bank configurations should be used. On effectively grounded
systems, grounded-wye, ungrounded-wye, and delta configurations may be used.
There are certain advantages and disadvantages associated with grounded-versus-ungrounded-wye
capacitor banks. The advantages of the grounded-wye arrangement compared to the ungrounded wye are as
follows:
a)
b)
c)
d)
Phases are isolated from each other. When single-phase sectionalizing (fusing or reclosing) is used
on a multigrounded system, grounding the neutral of the capacitor bank avoids problems associated
with disconnected phases being energized through an ungrounded capacitor bank.
Initial cost of the capacitor bank may be lower since the neutral does not have to be insulated from
ground at full system BIL, as in the case with floating neutral arrangements.
Capacitor switch recovery voltages are reduced.
When compared to ungrounded wye, no overvoltage on the unfaulted capacitor units during fuse
operation for a faulted capacitor on another phase will occur. (The same advantage exists for delta
connected capacitor banks.)
The disadvantages of the grounded-wye arrangement compared to the ungrounded wye are as follows:
⎯
Grounded neutral may draw zero-sequence harmonic currents and cause telephone interference.
⎯
Transient ground currents caused by capacitor switching or nearby faults may induce undesirable
voltages into other circuits sharing the same ground as the grounded capacitor.
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Grounded-wye, ungrounded-wye, and delta-connected capacitors may be subject to ferroresonant
overvoltages if they are switched together with transformer banks of certain winding connections with
single-pole switching devices or if a stuck pole should occur on a three-phase device. For the ungrounded
capacitor, if the transformer has a grounded neutral or even if it consists of many single-phase transformers
applied about equally along the feeder, a potentially ferroresonant circuit exists if single-phase switching
devices are operated upstream. Both transformers and surge arresters have failed under these conditions. If
the transformer is three-phase ungrounded, then the grounded capacitor bank should be avoided for the
same reason. Although ferroresonance can and does occur on these circuits, it occurs only rarely because
resistive load on the transformers can prevent its occurrence.
10.1 Protection
For small capacitor banks without unbalance protection used in distribution feeder applications, the
protection includes external capacitor fusing and surge arresters. For internally fused capacitors with
unbalance protection, the guidelines for the unbalance protection settings are the same as for substation
capacitor banks.
10.1.1 Fusing
Guidelines for capacitor fusing are given in IEEE Std C37.48-2005.
In distribution capacitor banks, group (line) fusing, individual capacitor unit fusing, internal fusing, or a
combination may be used. Group fusing involves the use of a single fuse in series with all of the capacitors
in that phase. For individual fusing, each capacitor unit is fused separately (see 9.2.1). Group fusing with
externally fused capacitors is the most commonly used method in distribution line application. Internally
fused capacitor units require unbalance protection and are not normally used for distribution line capacitor
banks.
Individual capacitor unit fusing is generally not used on small ungrounded-wye capacitor banks due to
overvoltage stress on capacitor units in parallel with a capacitor unit isolated by a fuse operation. The
function of the capacitor line fuse (group fuse) is to detect the escalating failure of a single capacitor and
remove the capacitor group from service fast enough to prevent case rupture and damage to other capacitor
units. At the same time, it is desirable that the capacitor line fuse (group fuse) withstand the normal
capacitor bank operating conditions without spurious fuse operations.
To withstand normal conditions, it is necessary that the capacitor line fuse (group fuse) be sized to
withstand the following conditions:
a)
b)
c)
Continuous current. This includes consideration for a harmonic component, capacitance tolerance
(maximum of +10% to +15%), and overvoltage (+10%). Historically, the continuous current
capability of the fuse has been a minimum of 125% to 135% of the capacitor nominal current.
Switching inrush current. Although this is seldom a concern for pole-mounted capacitor banks
(except in cases where they are very close together), the “minimum-melting” curve of the fuse
should be coordinated with the capacitor bank inrush current to minimize the possibility of
nuisance fuse operations.
Surge current. The surge current due to a lightning stroke or a nearby arcing fault can be a
significant concern for pole-mounted capacitor banks especially if lower amperage rated fuses are
used. In high lightning incidence areas, slower fuse speeds with higher surge withstand capabilities
(e.g., T-speed) are often used rather than faster fuse speeds (e.g., K-speed) for the lower amperage
rated fuses.
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d)
Rated fuse voltage. The capacitor line fuse (group fuse) is rated for phase-to-phase voltage for
ungrounded-wye capacitor banks and for phase-to-ground voltage for grounded-wye capacitor
banks applied on solidly grounded neutral (multi-grounded) systems, provided that BIL rating and
leakage distance to ground of the fuse mounting are sufficient for the application. The higher
voltage is needed for ungrounded-wye capacitor banks due to the higher recovery voltage across
the fuse when clearing a failed capacitor unit.
To minimize the possibility of case rupture of the failed capacitor unit and damage to other capacitor units,
the fuse should be selected to
⎯
Interrupt the maximum power frequency fault current expected.
⎯
Coordinate with the capacitor case rupture curve for each capacitor unit. The “maximum total
clearing” curve of the fuse to be used should lie to the left of the case rupture curve from the
capacitor manufacturer. A typical capacitor case rupture curve is given in Figure 33.
102 x 1000 = 100 000
1000
All film
Dielectric
Time (Seconds)
100
High probability
of case rupture
Constant I2t
= 100 000
10
Paper or
Paper / Film
Dielectric
1
Minimum I2t
= 4422 x 1
= 195 000 Amp2 Sec.
0.1
Low probability
of case rupture
0.01
1
10
100
1000
RMS Current (Amperes)
10000
31622 x .01
= 100 000
Figure 33 — Typical case rupture curves for approximately 30 liters case volume
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The withstand capability of each capacitor varies with design and size, so the available fault current at
each location should be compared with the capacitor case rupture curve. If the short-circuit current is
excessive, options available include the utilization of current-limiting fuses to limit the fault current or
moving the capacitor bank to another location with an acceptably lower available fault current. It should
be noted that if the capacitor bank is connected in an ungrounded-wye configuration, a phase-to-ground
fault may still occur since the capacitor tank is normally grounded. For ungrounded or poorly grounded
systems where the line-to-ground fault current is much lower than phase-to-phase fault current,
connecting the capacitor bank in ungrounded wye may allow the use of non-current limiting fuses in a
high fault current location, since the probability of a faulted capacitor unit in two phases at the same time
is very low. The fuse should be sized to promptly clear a faulted capacitor unit in one phase.
⎯
Remove the failed capacitor unit without impressing excessive overvoltages on good capacitor
units. In ungrounded-wye applications, line-to-line voltage will be impressed on the good phases
during the shorting of a capacitor unit. The permissible overvoltages are summarized in 5.2.3.1.
Figure 4 indicates a desired clearing time of less than 1 s. This is generally difficult to achieve in a
group-fused ungrounded-wye application since the available fault current is only three times the
normal capacitor bank phase current. Good performance has generally been achieved by selecting
the fastest clearing fuse that meets the continuous current, switching inrush current, and lightning
surge current requirements discussed previously. Generally, clearing times on the order of 15 s to
2 min can be achieved for a completely failed capacitor unit with three times the normal phase
current flowing.
In some applications, it may be difficult to meet all of these objectives. In such cases, trade-offs among the
criteria are necessary.
10.2 Sizing and locating capacitors
To obtain the optimum benefit of shunt power capacitor applications on the distribution system, the
capacitor banks should be located where they produce the maximum loss reduction, provide the maximum
voltage benefits, and are as close to the load as possible. When this is not practical, several “rules of
thumb” have been utilized for locating capacitors. These include the following:
a)
b)
c)
For uniformly distributed loads, the capacitor should be placed two-thirds of the distance from the
substation.
For uniformly decreasing distributed loads, the capacitor should be placed one-half of the distance
from the substation.
For maximum voltage rise, the capacitor should be placed near the end of the line.
More specifically, capacitor banks are required at locations where field measurements indicate a lowvoltage or low-power factor problem. This information can be obtained as follows:
⎯
By making voltage measurements during full-load and light-load conditions at various points on the
feeder; and
⎯
By making kilowatt and kilovoltampere measurements on the feeder at minimum and maximum
daily loads, and during a typical 24 hour period.
Once these measurements have been obtained, the equations given in 4.1 can be used to determine voltage
rise and kilovar parameters. The capacitor banks may be connected grounded wye, ungrounded wye, or
delta. These configurations are discussed in 9.1.1.
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11. Special capacitor applications
This clause describes the considerations for applying shunt power capacitors in the following special
applications:
a)
b)
c)
Harmonic filters
Motors
Surge protection
These special capacitor applications also require consideration of the previous clauses of this guide relating
to purpose and ratings of capacitors, limitations, capacitor bank size, etc.
11.1 Harmonic filters
The levels of harmonic voltages and currents on power systems have generally increased as more nonlinear
devices, such as solid-state power conversion equipment, are applied. When the levels of harmonic voltage
or current become excessive, shunt power capacitors are often used in harmonic filters to control the
harmonic performance of the power system.
The recommendations of this application guide should not be used for capacitors applied in harmonic
filters. Refer to IEEE Std 1531-2003.
11.2 Motor applications
11.2.1 Capacitors and motors
Shunt power capacitors are frequently used to improve the power factor of circuits or industrial power
systems with a large induction motor load since the power factor of large motors running at full load ranges
from 0.60 to 0.95 lagging depending upon motor design. Under-loaded or lightly loaded motors operate at
significantly lower power factors. Several safeguards should be considered when applying capacitors in
conjunction with motors (IEEE 79 EHO 144-6 PWR [B5], Shula [B10]).
Capacitors permanently connected in parallel and switched with medium voltage induction motors should
be limited in size to prevent overvoltage due to self-excitation when the motor and capacitor combination is
disconnected from the electrical supply and the rotor continues to rotate due to mechanical inertia. IEEE
Std 141-1993 contains a table of maximum recommended capacitor ratings to be applied with induction
motors when the capacitors are switched with motors. When special application motors are involved or
questions arise, the recommendation should be checked with the motor manufacturer.
When capacitors larger than the rating permitted above are used, they should either be connected ahead of
the motor switch or have a separate switch that automatically disconnects the capacitor when the motor is
disconnected.
Capacitors switched with motors prolong the duration of residual voltage in the motor as it slows down
after de-energization. High transient torques that can damage motor and equipment are possible if open
transition transfer is used or the motor is re-energized before the residual voltage has decayed to a safe
level (20–25%).
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11.2.2 Motor starting
An undesired characteristic of large induction motors and industrial synchronous motors is that they draw
several times their full-load current from their supply when starting. The starting current flowing through
the system impedances can result in an unacceptable voltage drop that may be large enough to cause
contactors to drop out and influence the ability of the motor to start. A typical starting curve is illustrated in
Figure 34. The actual shape and magnitude of the starting current curve depends on the motor design, the
voltage at the motor terminals during starting, and the speed-torque characteristic of the mechanical load
connected to the motor.
Since the power factor during starting is usually in the range of 0.15 to 0.30 lagging, shunt power
capacitors are sometimes used to reduce the voltage dip when starting a large motor. Their effect is to
reduce the reactive component of the input kilovoltamperes. With this method, the high inductive
component of the normal starting current is compensated, at least partially, by the addition of capacitors to
the motor bus during the starting period. The capacitor size needed for this purpose is usually 2 to 3 times
the motor full-load kilovoltampere rating.
Motor Starting
Current, per unit of full load
8
6
4
2
0
0
20
40
60
80
100
Time, percent of total starting time
Figure 34 — Typical motor starting curve
The typical reactive current requirement of a motor running at rated speed following start-up is 30% of its
full-load current (0.95 lagging power factor). Therefore, in order to control the voltage properly during
start-up, the capacitor is usually switched out in steps as the motor accelerates. (See Figure 35.) Due to the
large kilovar size of these capacitors, they are usually in the circuit for only a few seconds during motor
starting.
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In determining the voltage rating of the capacitors, they should be within the overvoltage capability defined
in Figure 4 and limited to a combined total of 300 applications of overvoltage during the service life (see
5.2.3.1). The capacitor manufacturer should be contacted for more severe duties.
MOTOR
SWITCHED CAPACITORS
Figure 35 — Motor starting capacitor application
11.3 Surge capacitors
Capacitors may be used to reduce the rate of rise of voltage (and in some cases the magnitude of the surge
voltage) to protect insulation. Some manufacturers provide specially designed “surge capacitors” for this
application. The design and manufacturing requirements for these “surge capacitors” are not covered by
IEEE Std 18-2002. These “surge capacitors” generally have greater design margins than the capacitors
manufactured in compliance with IEEE Std 18-2002. They are intended to be applied directly in parallel
with the protected apparatus, with no separate protection.
Surge capacitors are most often used to protect rotating machinery, dry type transformers, arc furnace
transformers, and sensitive electronic equipment. See Figure 36 for a typical installation.
The stress on the major insulation of a rotating machine—the insulation between winding and frame—is
determined mainly by the magnitude of the surge voltage to ground. However, the stress on the insulation
between the turns of the winding is more a function of the rate-of-rise of the surge voltage as it penetrates
the winding. Proper protection of rotating machines requires not only limiting the surge voltage magnitude
at the machine terminals, but also reducing the slope of the wavefront of the incoming surge. The function
of the surge capacitor is to reduce the slope of the wavefront of an incoming surge (IEEE 79 EHO 144-6
PWR [B5]).
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MOTOR
(OR TRANSFORMER)
SURGE ARRESTER
SURGE CAPACITOR
Figure 36 — Surge capacitor application
Surge capacitors are also used to protect equipment, especially transformers, from transient overvoltages
due to current chopping. Current chopping is the action of interrupting low levels of currents prior to a
natural current zero. When this happens, energy is trapped in the transformer inductance, which is
subsequently interchanged with circuit capacitance producing a voltage surge. The magnitude of the
voltage surge is conservatively calculated by Equation (23).
V = IC
Lm
C
(23)
where
Ic
Lm
C
is the chopped current level
is the transformer magnetizing inductance
is the capacitance on the transformer side of the switch
As can be seen in Equation (23), the voltage surge produced is independent of the system voltage level;
therefore, this phenomenon is most troublesome on low-voltage, low-BIL systems. The addition of a surge
capacitor will act to reduce this transient.
Surge capacitors may see transient voltage duties in excess of those defined in 5.2.3.3 (Figure 6).
Consequently, these capacitors are specially designed for the duties required in these applications. Typical
values of surge capacitors are given in Table 7.
Table 7—Typical capacitance values for
line-to-ground surge capacitors
Rated system voltage
(kV)
Capacitance
(µf)
2.4–6.9
0.5
13.8
0.25
24.0
0.125
34.5
0.0833a
a
One 0.25 µf, 13.8 kV in series with one 0.125 µf, 24
kV (one capacitor unit must be insulated from ground).
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12. Inspection and maintenance
12.1 General
This clause describes the general considerations for maintenance and inspection of shunt power capacitor
banks for substation and distribution (pad-mounted and pole-mounted) applications.
All capacitor banks should be inspected and electrical characteristics measured upon initial installation and
periodically, or as required, throughout their service life. Since capacitors are “closed systems,” a visual
inspection alone cannot determine the condition of all individual capacitors.
12.2 Safety and personnel protection
Normal good safety practices should be followed during installation, inspection, and maintenance of
capacitors. In addition, there are procedures that are unique to capacitors that should be followed for the
protection of personnel and equipment as given in the National Electrical Safety Code® (NESC®) (ANSI
C2). Several precautions that should be observed are listed in 12.2.1 through 12.2.5.
12.2.1 Clearance and grounding
After a capacitor bank has been de-energized, wait at least 5 min before approaching it. This is to allow
enough time for the internal discharge resistors in each capacitor unit to dissipate the stored energy. These
resistors are designed to reduce the voltage across the individual capacitor units to less than 50 V within
5 min; however, one should always apply grounding leads to all three phases to short out and ground the
capacitor bank. On larger substation capacitor banks, permanent grounding switches may be installed to
accomplish this.
Even after the capacitor bank has been grounded, it is recommended that individual capacitor units be
shorted and grounded before personnel contact them to assure that no stored energy is present. (In some
circumstances, failure of the internal resistor could leave a stored charge on an individual capacitor unit.)
12.2.2 Bulged capacitor units
Excessively bulged capacitor units indicate excessive internal pressure caused by overheating and/or
creation of gasses during a probable arcing condition. These capacitor units should be handled carefully.
The manufacturer should be consulted if there are questions regarding special handling of these capacitor
units.
12.2.3 Leaking capacitor units
When handling capacitors with leaking fluid, avoid fluid contact with skin and prevent entry into sensitive
areas, such as eyes. Handling and disposal of capacitor insulating fluid should follow the methods required
by applicable government regulations.
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12.2.4 Combustible fluid
Some capacitor units contain combustible liquid and their location should be chosen with consideration
given to the possibility of fire and its containment in the event of capacitor failure. See the National
Electrical Code® (NEC®) (NFPA Std 70) for location limitations.
12.2.5 Re-energizing
When returning a capacitor to service, verify that all shorts and grounds that were installed for maintenance
have been removed. Allow a minimum of 5 min between de-energization of a capacitor bank and reenergization of the capacitor bank to allow enough time for the stored energy to dissipate. (For applications
where quicker re-energizing is required, allowing the voltage to decay to about 10% of its original value
will only increase the inrush transients by 10%, and is often acceptable. This may be of the order of 2 min
to 3 min, depending upon the capacitor unit voltage rating. External discharge reactors to more quickly
discharge the capacitors or properly sized insertion resistors or reactors to control the inrush transient may
also be used to reduce the time before re-energizing.)
12.3 Initial inspection, measurements, and energization
The initial inspection should include the following items:
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
Verify mechanical assembly of the capacitor equipment for proper electrical clearances and
structural soundness.
Some utilities have found it useful to measure the capacitance of new capacitor units to verify
proper markings and establish a benchmark for future comparison.
Ensure flipper devices on fuses are properly installed for successful operation of the fuse.
Check electrical connections for proper installation and good electrical contact. Verify that
capacitor unit terminal nuts are torqued properly. Check individual fuse connections to ensure that
they are tight and make good contact, as listed:
1) The fuse tube cap-to-bus connection for proper torque.
2) The fuse tube-to-cap connection for proper torque.
3) On expulsion fuses, ensure that the “button heads” make good contact with the tube cap; on
those fuse links with removable “button heads,” ensure that the button heads are properly
assembled on the fuse link.
Clean all insulators, fuses, and bushings to prevent the possibility of dirty insulation creating a
flashover danger.
Inspect insulators and bushings for cracks or breaks.
Inspect for damaged bushings and cases to identify any source of leaks.
Test the operation of all controls and load break, disconnect, and grounding switches prior to
energizing the capacitor.
Prior to energization, verify that the capacitance values of each of the phases are sufficiently close
to allow coordination with any relay scheme utilized. At a minimum, this capacitance unbalance
should not result in a voltage higher than the alarm overvoltage level setting on any one capacitor.
For capacitor bank without relay protection, this capacitance unbalance should be limited to 2%
On those capacitor units with capacitance unbalance protection equipment, verify that such
equipment operates properly. (See IEEE Std C37.99-2000.)
Immediately after energization, verify that the voltage boost obtained is sufficiently close to the
expected value. Verify that impressed voltage, capacitor current, and kilovar are within the limits of
capacitor ratings.
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l)
m)
An infrared scan of the installation may be desirable to check the integrity of the many electrical
connections within a capacitor assembly.
Within 8 h to 24 h after the capacitor is put in service, it is highly desirable to recheck the capacitor
bank for any blown fuses, bulged capacitor units, and proper phase current balance.
12.4 Periodic inspection, measurements, and maintenance
Substation and distribution capacitor banks should be inspected and electrical measurements made
periodically, or as required, throughout their service life. The frequency of inspections should be
determined by local conditions and requirements (i.e., environmental conditions, percent of time the
capacitor bank is switched “on,” and number of “on” and “off” switching operations).
12.4.1 Visual inspections
Visual inspections should include the following items:
a)
b)
c)
d)
e)
f)
g)
Check for blown capacitor fuses, capacitor case leaks, bulged cases, discolored cases, and ruptured
cases.
Check the ground for spilled dielectric fluid.
Check for dirty insulating surfaces and cracked bushings.
Check for signs of overheated electrical joints.
Check for open switches and “tripped” protective devices.
Check for vandalism.
On metal-housed and pad-mounted capacitor banks, verify that locking devices are in place and
functioning properly; inspect the exterior for corrosion and oil leaks around the structure; check for
proper functioning of forced cooling equipment and associated intakes, vents, and filters; and
ensure that any required safety or warning signs (e.g., “High Voltage”) are properly installed and
legible.
12.4.2 Physical inspection and measurements
Physical inspections and measurements should include the following items:
a)
b)
c)
d)
e)
f)
Check for loose connections, frayed leads, faulty fuse tubes, and faulty ejector spring assemblies.
Fuses should be inspected for evidence of overheating or other damage.
Verify proper settings and operation of protective and/or control devices, switches, and potential
and/or current transformers.
Equipment exposed to weathering should be repainted, if necessary, to prevent corrosion.
The capacitance of the individual capacitor units or groups of capacitor units should be measured
and compared with their previous reading (see 12.5).
Any other maintenance operations suggested in the manufacturer’s instructions.
12.4.3 Capacitor banks with excessive failures
Capacitor banks with excessive capacitor unit failures and/or blown fuses should be inspected on a more
frequent basis. In addition to the items in 12.4.1 and 12.4.2, the inspections may also include measurements
of transient and/or harmonic voltages and currents impressed upon the capacitor bank to ensure that they
are within the limits of the capacitor ratings. The manufacturer should be consulted for assistance.
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12.4.4 Locating a defective capacitor unit in a fuseless capacitor bank
A dielectrically defective capacitor unit can be located in a fuseless capacitor bank without disconnecting
any of the capacitor units. The failure of a capacitor section in an all-film capacitor unit causes the
capacitance of the capacitor unit to increase. The increase in capacitance for a capacitor unit with failed
elements is
n
ΔC (per unit) =
S-n
where n is the number of failed series elements and S is the total number of series elements in the capacitor
unit. For instance, for a capacitor unit with one failed series element out of 10, the capacitance would
increase by 1/9, more than 10%.
This increase in capacitance can be used to quickly determine whether there is a dielectrically failed
capacitor element in a string, and to locate the faulty capacitor unit.
CAUTION
Immediately prior to making any capacitance measurements, simultaneously ground the terminals to be
measured for about a second. This will discharge any trapped charge which might damage the meter.
First, the three capacitor bank phase connections and the neutral are connected to ground (Figure 37). This
safety grounding provides a convenient capacitor bank configuration for locating a capacitor unit with a
failed element. The capacitor bank grounding illustrated in Figure 37, results in each string of capacitor
units being grounded at both ends as illustrated in Figure 38.
A
B
C
Figure 37 — Capacitor bank grounded in preparation for testing
By measuring the midpoint to ground capacitance of each of the strings in the capacitor bank, those strings
that contain defective elements (Figure 38) are identified. For strings that have an odd number of capacitor
units, measure from either bushing of the middle capacitor unit to ground. The strings having defective
elements will have a slightly higher capacitance than those strings without defective elements. For those
strings without indication of failed elements, there is no need for any further measurement.
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CM
Figure 38 — Measurement of midpoint to ground capacitance for one string with
capacitor bank phase and neutral grounded
CM
Figure 39 — Midpoint to ground measurement with one failed capacitor unit
If any string has an indication of failed elements, the next step is to determine which rack contains the
failed elements. Measure the capacitance across each rack (Figure 40). The rack containing the failed
elements will have a higher capacitance than the rest of the racks. If the racks do not have equal numbers of
capacitor units, the capacitance of one rack may be compared with the capacitance of the same number of
capacitor units in another rack (Figure 41).
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CR
CR
Figure 40 — Capacitance measurements across racks without and with a failed
capacitor unit
CR
CR
Figure 41 — Comparing capacitances with different numbers of capacitor units
in various racks
Once the rack(s) containing the failed elements is identified, each of the capacitor units in that rack is
measured to determine which capacitor unit has the failed elements (Figure 42).
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CU
CU
CU
CU
Figure 42 — Measuring individual capacitor units in a rack with an indicated failure
12.4.5 Locating a defective capacitor unit in an internally fused capacitor bank
A dielectrically defective capacitor unit can be located in an internally fused capacitor bank without
disconnecting any of the capacitor units. The operation of an internal fuse in a capacitor unit causes the
capacitance of the capacitor unit to decrease. This decrease in capacitance can be used to determine
whether there is a failed element in the capacitor unit, and to locate the faulty capacitor unit.
12.4.5.1 Capacitor bank comprised of capacitor units in series/parallel arrangement
First, the three capacitor bank phase connections and the neutral are connected to ground (similar to Figure
37, except that the capacitor bank may be comprised of capacitor units in a series/parallel arrangement
instead of parallel strings of capacitor units). This safety grounding provides a convenient capacitor bank
configuration for locating a capacitor unit with a failed element. The capacitor bank grounding illustrated in
Figure 38, results in each phase being grounded at both ends, similar to Figure 39.
By measuring the midpoint to ground capacitance of each wye in the capacitor bank, those wyes that
contain capacitor units with defective elements (Figure 38) are identified. For wyes having an odd number
of series groups, measure from either bushing of one of the middle group of capacitor units to ground. The
wyes having capacitor units with defective elements will have a slightly lower capacitance than those wyes
having capacitor units without defective elements. For those wyes without indication of failed elements,
there is no need for any further measurement.
The capacitance change of a failed capacitor unit with a single element will normally range from 2% to 3%
of the original value. The capacitance change of a wye will depend on the number of capacitor units in the
wye and the number of failed elements in the same wye. Since the operator is usually trying to detect a
defective capacitor unit(s) that has generated at least an alarm signal, it is usually possible to find the
defective capacitor units(s).
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12.4.5.2 Capacitor bank comprised of capacitor units connected directly in parallel
Using a low-voltage power source (110–125 Vac) to energize a parallel group of capacitor units, current
flow through each capacitor unit can be measured using a clip on meter. The measured current is then
compared with the calculated value previously established for a healthy capacitor unit at this reduced
voltage. Any current measurement that is lower than the calculated value is an indication that the particular
capacitor unit has defective elements. Once a capacitor unit has been identified as potentially defective, a
capacitance check can be performed with a capacitance meter, after the suspect capacitor unit has been
disconnected from the others.
Alternatively, by using a modified Schering bridge, it is possible to locate a defective capacitor unit without
disconnecting any of the capacitor units within the bank. This portable device measures capacitance. The
current through the capacitance to be measured is coupled inductively to the bridge via a high performance
current clamp. Each capacitor unit is measured individually by moving the clip-on transformer from one
capacitor unit to the next. See Figure 43.
Clamp
Power Supply
Figure 43 — Capacitance measurement using a modified Shering bridge
12.5 Field testing
Field tests on capacitors may include capacitance or current tests, insulation resistance tests, and a seal test
for liquid tightness.
WARNING
Capacitor units may rupture during high voltage tests. Adequate safeguards should be provided to prevent
injury to personnel or damage to adjacent equipment in the event of violent failure of a capacitor unit
during test. Testing should be done at or near room temperature to avoid damage to the dielectric. The
capacitor unit may be damaged if discharged by short-circuiting its terminals before five minutes after the
test potential is removed. Before any tests are initiated, the manufacturer’s instructions should be carefully
studied and followed.
12.5.1 Tests to check the condition of a capacitor unit after it has been in service
Field tests may be made to ascertain the operating condition of a capacitor unit. Such tests are necessary
only in case of indication of trouble or after exposure to possible damage.
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Several electrical devices are available in the market to measure capacitance, power factor, impedance,
resistance, and voltage withstand. While all of these instruments can detect an open or shorted capacitor
unit, some can detect a partially shorted capacitor unit as well.
The service ability of a capacitor unit may be determined by one or more of the following simple tests.
12.5.1.1 Capacitance
Capacitance can be measured with a digital capacitance meter, which generally gives reliable, accurate
readings. However, the low-voltage meter may fail to detect some internal failures that require high
breakdown voltage, such as failures to the capacitor unit case.
Capacitance may also be satisfactorily determined by measuring the current while applying a known
voltage and frequency of a good waveshape undistorted by voltage control devices. The applied current and
voltage should be proportional to the rating of the capacitor unit and be within IEEE Std 18-2002
tolerances. This test will also indicate short-circuited or open-circuited capacitor units.
Since capacitor units are usually made up of series groups of parallel capacitor elements, the measurement
of the capacitance of a capacitor unit can be a direct indication of the internal condition of the capacitor
unit. Capacitor standards specify that capacitor units shall give not less than the rated reactive power at
rated sinusoidal voltage and frequency, and not more than 110% of this value, measured at 25 °C uniform
case and internal temperature. Based on this tolerance, capacitor units with capacitance readings outside the
tolerance, of –0% to +10% should be replaced. However, when capacitance readings are made at
temperatures much colder than 25 °C, the capacitance could read slightly above the +10% value and
readings at temperatures much warmer than 25 °C could read slightly below the –0% value. Since design
and manufacturing tolerances vary, the manufacturer should be consulted concerning the capacitance value
for partially failed capacitor units.
Some utilities have found it very useful to record initial capacitance values for each capacitor unit in the
capacitor bank on the capacitor units or in a test report. Significant changes in capacitance readings from
one inspection to the next may indicate capacitor element failures and may require replacement of the
capacitor unit.
12.5.1.2 Terminal-to-terminal resistance
Terminal-to-terminal insulation resistance measurements may be made on capacitor units with suitable
bridge, or calculated from the direct-current voltage and current readings. When internal discharge resistors
are included, as indicated on the nameplate, the terminal-to-terminal resistance reading obtained will be the
value of the discharge resistor that is much lower than the normal insulation resistance of the dielectric.
Refer to IEEE Std 18-2002 for the basis on which nominal resistance values are selected.
When values of insulation resistance of the dielectric are needed, they should be obtained from the
manufacturer.
12.5.1.3 Terminal-to-case resistance
Terminal-to-case insulation resistance measurements may be made on two-bushing capacitor units to
determine the condition of the line insulating terminals and dielectric insulation to case. (If the capacitor
unit has a single bushing and internal discharge resistors, the resistance reading obtained will be the value
of the discharge resistors that is much lower than the normal insulation resistance.) This test is normally
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made by connecting the bushing terminals together and measuring the resistance to the case. When values
of insulation resistance of the case insulation are needed, they should be obtained from the manufacturer.
Measuring the terminal-to-case power factor or dielectric loss is another means of determining the
condition of the line insulating terminals and insulation to case. This measurement is more difficult and has
no advantage over the resistance test described.
12.5.1.4 Leak test
Liquid tightness of a capacitor unit may be checked by increasing the internal pressure and inspecting for
leaks at elevated pressure. This may be done effectively by thoroughly cleaning the case, heating the
capacitor unit a minimum of 4 h in an oven, and then placing it horizontally on clean paper with suspected
point of leakage on the bottom.
NOTE—The temperature of the capacitor unit case should not be allowed to exceed the manufacturer’s
recommendations.
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Annex A
(informative)
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[B15] G. Hensley, T. Singh, M. Samotyj, M. McGranahan, and T Grebe, “Impact of Utility Switched
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