52 (IHFWRGHOGHVEDODQFH HQODVFDUJDVVREUHODYDORUDFLyQ GHFRQÀDELOLGDGGHXQVLVWHPD GHGLVWULEXFLyQGHHQHUJtD HOpFWULFD Recibido 25 de septiembre de 2006, aprobado 19 de abril de 2007. Oscar Gómez Carmona Carlos J. Zapata Ingeniero Electricista, M.Sc. en Ingeniería Eléctrica. Pro- Ingeniero Electricista, M.Sc. en Ingeniería Eléctrica. Pro- fesor auxiliar, Facultad de Ingeniería, Universidad Tec- fesor asociado, Facultad de Ingeniería, Universidad Tec- QROyJLFDGH3HUHLUD3HUHLUD&RORPELD QROyJLFDGH3HUHLUD3HUHLUD&RORPELD jr@utp.edu.co. cjzapata@utp.edu.co. RESUMEN Muchos circuitos primarios de distribución tri- se asume lo contrario se obtienen valoraciones pesimis- fásicos son desbalanceados porque, primero, atienden WDVGHORVtQGLFHVGHFRQ¿DELOLGDGORTXHSXHGHOOHYDUD a sus usuarios por medio de transformadores de distri- decisiones de inversión erróneas. bución monofásicos; segundo, utilizan componentes de 3$/$%5$6&/$9( operación monopolar; y, tercero, la mayoría de las fallas &RQILDELOLGDGGHVLVWHPDVGHSRWHQFLDVLVWHPDV que afectan sus componentes son monofásicas. Este im- de distribución de energía eléctrica, simulación de SRUWDQWHKHFKRGHEHLQFOXLUVHHQORVHVWXGLRVGHFRQ¿D- Montecarlo. bilidad pues, como se muestra en este artículo, cuando (IIHFWRI WKH/RDG8QEDODQFHRQWKH5HOLDELOLW\$VVHVVPHQW RI D3RZHU'LVWULEXWLRQ6\VWHP ABSTRACT Many three-phase distribution feeders are XQEDODQFHG EHFDXVH ¿UVW WKH\ VHUYH WKHLU FXVWRPHUV by means of single–phase distribution transformers; assessments of the reliability indices are obtained which could lead to erroneous investment decisions. .(<:25'6 second, they use components which operate in single- Power system reliability, power distribution systems, phase manner; third, most of the failures that affect Montecarlo simulation. their components are single–phase. This important fact must be included in reliability studies because, as shown in this paper, when the contrary is assumed pessimistic #25 revista de ingeniería. Universidad de los Andes. rev.ing. ISSN. 0121-4993. 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Frecuencia de ocurrencia de fallas [2]. 6H SLHUGH OD FDUJD DOLPHQWDGD SRU ORV WUDQVIRUPDGRUHV ELIiVLFRV \ PRQRIiVLFRV FRQHFWDGRV D ODV IDVHV HQ IDOOD (Q ORV WUDPRV WULIiVLFRV XQD IDVH TXHGD HQ IXQFLRQDPLHQWRSRUORWDQWRODFDUJDDOLPHQWDGDSRU WUDQVIRUPDGRUHVIDVHWLHUUDRIDVHQHXWURFRQWLQXDUi VLHQGRDOLPHQWDGD )$//$675,)È6,&$6 6H SLHUGH WRGD OD FDUJD FRQHFWDGD DJXDV DEDMR GHO SXQWR GH IDOOD 7RGR HVWR PXHVWUD TXH OD GLIHUHQFLD FHQWUDOHQWUHORVDQiOLVLVEDODQFHDGR\GHVEDODQFHDGR HV TXH HO ~OWLPR LQFRUSRUD HO LPSRUWDQWH KHFKR GH TXH WRGDV ODV IDOODV QR QHFHVDULDPHQWH LQWHUUXPSHQ 55 WRGDODFDUJDVHUYLGDFRPRDVXPHHODQiOLVLVEDODQFHDGRDVtORVUHVXOWDGRVTXHVHREWHQJDQDODSOLFDUHVWRV DQiOLVLVDXQVLVWHPDGHVEDODQFHDGRVHUiQGLIHUHQWHV 3HUR¢TXpWDQWR"$FRQWLQXDFLyQPHGLDQWHGRVFDVRV GHHVWXGLRVHGDUHVSXHVWDDHVWHLQWHUURJDQWH CASO DE ESTUDIO 1: ¿QUÉ PASA SI LA CONFIABILIDAD DE UN SISTEMA DE DISTRIBUCIÓN DESBALANCEADO SE VALORA Figura 2. Sistema de prueba. MEDIANTE UN ANÁLISIS BALANCEADO? &RQVLGpUHVH HO FLUFXLWR SULPDULR WULIiVLFR GHVEDODQFHDGRGHOD)LJXUD(QODVWDEODV\VHSUHVHQWDQUHVSHFWLYDPHQWHORVSDUiPHWURVGHFRQILDELOLGDG SDUDFDGDXQRGHORVWUDPRVGHOFLUFXLWRSULPDULRODV SUREDELOLGDGHVGHRFXUUHQFLDGHFDGDWLSRGHIDOOD\OD SUREDELOLGDGGHRFXUUHQFLDGHIDOODVVREUHODVIDVHV 3DUD HVWH VLVWHPD GH SUXHED VH UHDOL]DQ ORV GRV VLJXLHQWHVHVWXGLRVGHYDORUDFLyQGHFRQILDELOLGDG ,6LVWHPDEDODQFHDGR6HDVXPHTXHWRGRVORVFRPSRQHQWHV GHO VLVWHPD VRQ WULIiVLFRV \ TXH WRGDV ODV IDOODVTXHRFXUUHQVRQWULIiVLFDV%DMRHVWRVVXSXHVWRV 7U D P R L ) U H F X H Q F L D G H I D O O D V >)DOODV$xR@ U 7 L H P S R P H G L R G H UHSDUDFLyQ>+RUDV )DOOD@ 7 7 7 7 7 7DEOD3DUiPHWURVGHFRQ¿DELOLGDGGHOVLVWHPDGHSUXHED 7U D P R 7R S R O R J t D 0RQRIiVLFD %LIiVLFD 7U L I i V L F D 7 $²%²& 7 $²%²& 7 $²%²& 7 $²%²& 7 %²& --- Tabla 4. 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Zapata, D. Cataño, H.F. Suárez. R. Billinton, R. Allan. ´ÌQGLFHVGHFRQILDELOLGDGGHWUDQVIRUPDGRUHVGH Reliability Evaluation of Power Systems. 3OHQXP3UHVV GLVWULEXFLyQµRevista Mundo Eléctrico,1R IEEE. [2] L. J. Blackburn. ´5HFRPPHQGHG3UDFWLFHIRUWKH'HVLJQRI5HOLDEOH Protective Relaying: Principles and Applications,0DUFHO'HNNHU ,QGXVWULDODQG&RPPHUFLDO6\VWHPVVWDQGDUGµ,((( [3] R. Billinton, R. Allan. *.MROOH/5ROIVHJQ('DKO Reliability evaluation of engineering systems.3OHQXP3UHVV ´7KH(FRQRPLF$VSHFWRI5HOLDELOLW\LQ'LVWULEXWLRQ 6\VWHP3ODQQLQJµ,(((7UDQVDFWLRQVRQ3RZHU'HOLYHU\ 9RO1R [4] C.J. Zapata. Confiabilidad de sistemas Eléctricos, 8QLYHUVLGDG7HFQROyJLFD GH3HUHLUD R. Billinton and P. Wang. ´7HDFKLQJ'LVWULEXWLRQ6\VWHP5HOLDELOLW\HYDOXDWLRQ 8VLQJ0RQWH&DUOR6LPXODWLRQµ,(((7UDQVDFWLRQRQ [5] C.J. Zapata, O.Gómez. 3RZHUV\VWHPV9RO1R0D\ ´5HOLDELOLW\DVVHVVPHQWRIXQEDODQFHGGLVWULEXWLRQ V\VWHPVXVLQJVHTXHQWLDO0RQWHFDUORVLPXODWLRQµ,((( C. J. Zapata, L.C. Piñeros, D.A. Castaño. 7UDQVPLVVLRQ'LVWULEXWLRQ/DWLQ$PHULFD&RQIHUHQFH ´(OPpWRGRGHVLPXODFLyQGH0RQWHFDUORHQHVWXGLRV GHFRQILDELOLGDGGHVLVWHPDVGHGLVWULEXFLyQGHHQHUJtD HOpFWULFDµRevista Scientia et Technica1R [6] C.J. Zapata, O.Gómez. 'LVSRQLEOHHQZZZXWSHGXFRFLHQFLD ´9DORUDFLyQGHFRQILDELOLGDGGHVLVWHPDVGHGLVWULEXFLyQ GHVEDODQFHDGRVXWLOL]DQGRVLPXODFLyQGH0RQWHFDUORµ O. Gómez. Revista Scientia et Technica,1R'LVSRQLEOHHQ ´$QiOLVLVGH&RQILDELOLGDGHQ6LVWHPDVGH'LVWULEXFLyQ ZZZXWSHGXFRFLHQFLD 'HVEDODQFHDGRVµ7HVLVGH0DHVWUtD8QLYHUVLGDG 7HFQROyJLFDGH3HUHLUD [7] IEEE. ´*XLGHIRU(OHFWULF3RZHU'LVWULEXWLRQ5HOLDELOLW\ ,QGLFHVµ6WDQGDUG,((( # 25 revista de ingeniería técnica 59