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NICKEL CADMIUM BATTERY & CHARGER SIZING CALCULATION FOR STATIONARY APPLICATIONS (ELECTRICAL SUBSTATION) AS PER IEEE STD. 1115-2000
BATTERY DATA
Nominal System Voltage
Maximum Allowable System Voltage
Minimum Battery Voltage
Design Margin
Aging Factor
Cell Discharge-End Voltage
Number of Cells
Number of Battery Bank
Total Number of Cells
110
125
99
99
99
1.14
87
2
174
V
V
V
V
Cells
Banks
Cells
LOAD PROFILE
Period
A1
A2
A3
A4
A5
A6
A7
Load (A)
320.000
100.000
280.000
200.000
40.000
120.000
100.000
Duration of Load (Minute)
M1
M2
M3
M4
M5
M6
M7
0.080
29.920
30.000
60.000
59.420
0.580
1.000
CALCULATION
-1
Period
-2
Load
-3
Change in Load
-4
Duration of Load
-5
-6
-7
Capacity Rating
Temparature
Factor at t
Derating Factor
Minute Rate
for t Minute (Tt)
(Kt)
Time to End of Section
(amperes)
(amperes)
(minutes)
Section 1 - First Period Only - If A2 is greater than A1, go to Section 2
1
320.00 A1-0 =
320 M1=
0.080 t1 = M1 =
A1=
(minutes)
-8
Required Section Size
(3) x (6) x (7)
Rated Amp Hrs (Ah)
Positive Values
=
Negative Values
0.08
0.432
Section 1
1.230
Total
170.035
170.035
Section 2 - First Two Periods Only - If A3 is greater than A2, go to Section 3
1
A1=
320.00 A1-0 =
320 M1=
0.080 t1 = M1+M2 =
2
A2=
100.00 A2-A1=
-220 M2=
29.920 t2 = M2 =
30.00
29.92
1.000
1.000
Section 2
1.000
1.000
Sub Total
Total
320.000
0.000
320.000
490.035
0.000
-220.000
-220.000
Section 3 - First Three Periods Only - If A4 is greater than A3, go to Section 4
1
A1=
320.00 A1-0 =
320 M1=
0.080 t1 = M1+M2+M3=
2
A2=
100.00 A2-A1=
-220 M2=
29.920 t2 = M2+M3 =
3
A3=
280.00 A3-A2=
180 M3=
30.000 t3 = M3 =
60.00
59.92
30.00
1.780
1.779
1.000
Section 3
1.500
1.500
1.000
Sub Total
Total
854.400
0.000
180.000
1,034.400
447.330
0.000
-587.070
0.000
-587.070
Section 4 - First Four Periods Only - If A5 is greater than A4, go to Section 5
1
A1=
320.00 A1-0 =
320.00 M1=
0.080 t1 = M1+M2+M3+M4=
2
A2=
100.00 A2-A1= -220.00 M2=
29.920 t2 = M2+M3+M4 =
3
A3=
280.00 A3-A2=
180.00 M3=
30.000 t3 = M3+M4 =
4
A4=
200.00 A4-A3=
-80.00 M4=
60.000 t4 = M4 =
120.00
119.92
90.00
60.00
1.000
1.000
1.000
1.000
Section 4
1.000
1.000
1.000
1.000
Sub Total
Total
320.000
0.000
180.000
0.000
500.000
200.000
0.000
-220.000
0.000
-80.000
-300.000
Section 5 - First Five Periods Only - If A6 is greater than A5, go to Section 6
1
A1=
320.00 A1-0 =
320.00 M1=
0.080 t1 = M1+M2+M3+M4+M5=
2
A2=
100.00 A2-A1= -220.00 M2=
29.920 t2 = M2+M3+M4+M5 =
3
A3=
280.00 A3-A2=
180.00 M3=
30.000 t3 = M3+M4+M5 =
4
A4=
200.00 A4-A3=
-80.00 M4=
60.000 t4 = M4+M5 =
5
A5=
40.00 A5-A4= -160.00 M5=
59.420 t5 = M5 =
179.42
179.34
149.42
119.42
59.42
1.000
1.000
1.000
1.000
1.000
Section 5
1.000
1.000
1.000
1.000
1.000
Sub Total
Total
320.000
0.000
180.000
0.000
0.000
500.000
40.000
0.000
-220.000
0.000
-80.000
-160.000
-460.000
Section 6 - First Six Periods Only - If A7 is greater than A6, go to Section 7
1
A1=
320.00 A1-0 =
320.00 M1=
0.080 t1 = M1+M2+M3+M4+M5+M6=
2
A2=
100.00 A2-A1= -220.00 M2=
29.920 t2 = M2+M3+M4+M5+M6 =
3
A3=
280.00 A3-A2=
180.00 M3=
30.000 t3 = M3+M4+M5+M6 =
4
A4=
200.00 A4-A3=
-80.00 M4=
60.000 t4 = M4+M5+M6 =
5
A5=
40.00 A5-A4= -160.00 M5=
59.420 t5 = M5+M6 =
6
A6=
120.00 A6-A5=
80.00 M6=
0.580 t6 = M6 =
180.00
179.92
150.00
120.00
60.00
0.58
1.000
1.000
1.000
1.000
1.000
1.000
Section 6
1.000
1.000
1.000
1.000
1.000
1.000
Sub Total
Total
320.000
0.000
180.000
0.000
0.000
80.000
580.000
120.000
0.000
-220.000
0.000
-80.000
-160.000
0.000
-460.000
Section 7 - First Seven Periods Only - If A8 is greater than A7, go to Section 8
1
A1=
320.00 A1-0 =
320.00 M1=
0.080 t1 = M1+M2+M3+M4+M5+M6+M7=
2
A2=
100.00 A2-A1= -220.00 M2=
29.920 t2 = M2+M3+M4+M5+M6+M7 =
3
A3=
280.00 A3-A2=
180.00 M3=
30.000 t3 = M3+M4+M5+M6+M7 =
4
A4=
200.00 A4-A3=
-80.00 M4=
60.000 t4 = M4+M5+M6+M7 =
5
A5=
40.00 A5-A4= -160.00 M5=
59.420 t5 = M5+M6+M7 =
6
A6=
120.00 A6-A5=
80.00 M6=
0.580 t6 = M6+M7 =
7
A7=
0.00 A7-A6= -120.00 M7=
0.000 t7 = M7 =
180.00
179.92
150.00
120.00
60.00
0.58
0.00
1.000
1.000
1.000
1.000
1.000
1.000
1.000
Section 7
1.000
1.000
1.000
1.000
1.000
1.000
1.000
Sub Total
Total
320.000
0.000
180.000
0.000
0.000
80.000
0.000
580.000
0.000
0.000
-220.000
0.000
-80.000
-160.000
0.000
-120.000
-580.000
Note: The battery with Ah capacity nearest to 432.74Ah is KM438P with actual Ah capacity of 438Ah.
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