一种新型高斯塞德尔算法在电力系统潮流计算中的应用研究

L2010091920101109TEP1980,3,L,VYDSPTB第28卷NULL第6期2010年12月江NULLNULL西NULLNULL科NULLNULL学JIANGXINULLSCIENCEVOL28NO6DEC2010NULLNULLCI|10013679201006080704BE“D9涂志军,曹NULL晔,李NULL伟,赵NULL俊2V,NULL2330031K1主要介绍了一种新型高斯塞德尔算法在电力系统潮流计算中的应用B首先分别详细推导了基于传统和新型高斯赛德尔法的潮流计算公式,新方法节点电压方程式的表达形式与传统方法不同,计算公式更加简单,迭代次数减少然后使用C程序语言对高斯赛德尔法进行编程,最后将所提出的新型高斯赛德尔算法应用于电力系统潮流计算的实例中,计算结果表明高斯塞德尔新方法与传统方法相比,迭代次数减少了30,而且加速系数的适用范围更加广泛B1OM高斯赛德尔法直角坐标潮流计算电力系统MS|TP272NULLNULLNULLNULLDSMAAPPLIEDRESEARCHOFANEWTTPEOFGAUSSSEIDELMETHODINTHEPOWERFLOWCOMPUTATIONOFPOWERSYSTEMTUZHINULLJUN,CAOYE,LIWE,IZHAOJUNCOLLEGEOFINFORMATIONENGINEERING,NANCHANGUNIVERSITY,JIANGXINANCHANG330031PRCABSTRACTTHISPAPERMAINLYINTRODUCESANEWTYPEOFGAUSSSIDELMETHODINTHEAPPLIEDREASEARCHOFPOWERFLOWCOMPUTATIONOFPOWERSYSTEMFIRS,TOLDANDNEWGAUSSSIDELMETHODISDEDUCEDRESPECNULLTIVELYBASEDONDETAILEDCONVENTIONALEXPRESSIONFORMSOFNODEVOLTAGEEQUATIONOFNEWMETHODVARYFROMTRADITIONALMETHODCOMPUTATIONALFORMULAISMUCHSIMPLERANDTHENUMBEROFITERATIVETIMESMAYBEDECREASEDANDTHENUSETHECPROGRAMMINGLANGUAGEFORGAUSSNULLSEIDELMETHODFORPRONULLGRAMMINGFINALLYTHEPROPOSEDNEWHIGHMETHODISAPPLIEDTOINSTANCESOFPOWERFLOWCALCULATIONCALCULATIONRESULTSSHOWTHATTHENUMBEROFTHENEWMETHODNULLSITERATIVETIMESCOMPAREDWITHTRADITIONNULLALMETHODSREDUCESBY30,ANDTHEAPPLICATIONRANGEOFTHEACCELERATIONFACTOREXTENDSFORAWIDERRANGEKEYWORDSGAUSSSIDELMETHOD,RECTANGULARCOORDINATES,POWERFLOWCALCULATION,POWERSYSTEM0NULL引言9“DSBK9,YVXHQ“D,LAQSQBNULLE,P9P“DK5ZEB,9ZEE,9IL,Z,|1P,L,“D9VH,Q6B4BUSE,ZEE7,9TFE,Q,A15B1NULL高斯NULL赛德尔法直角坐标潮流计算公式的推导NULLNULLNULLEVLZF,9VDLZF,BPZZEBBT1P1ZE,9B9ZPIJQIVIVIIVINJ1JIYIJVJ1T1VI1YIIPIJQIVINJ1JIYIJVJ2L“DN,PQM,M1PV,NBT2Z7VK1I1YIIPIJQIVKIYISUSI1J1YIJUKJN1JI1YIJUKJ3T3E9ZBE9IK1QH,KQT,9B,9/BPVBNULLE,|T3VK1I1YIIPIJQIVKIYISUSI1J1YIJUK1JN1JI1YIJUKJ4NULLEUSE,T4Z7PIGIIE2IF2IEINJ1JIGIJEJBIJFJFINJ1JIGIJFJBIJEJ5QIBIIE2IF2IEINJ1JIGIJFIBIJEIFINJ1JIGIJEIBIJFI67A1I1J1GIJEK1JBIJFK1JNJI1GIJFKJBIJFKJA2I1J1GIJFK1JBIJEK1JNJI1GIJFKJBIJEKJ7|T7T5AT6PIGIIE2IF2IEIA1FIA28QIBIIE2IF2IEIA1FIA29|T9Z7O|T8EK1IGIIG2IIB2IIPIEKIQIFKIEKI2FKI2A1BIIG2IIB2IIPIFKIQIEKIEKI2FKI2A210FK1IGIIG2IIB2IIPIFKIQIEKIEKI2FKI2A2BIIG2IIB2IIPIEKIQIFKIEKI2FKI2A111T10AT11NULLEUSTB2NULL高斯NULL赛德尔法直角坐标改进法潮流计算公式的推导21NULLPQ9T4PIGIIE2IF2IEIA1FIA212QIBIIE2IF2IEIA1FIA213VT12VEK1IQIEKIA2FKIA1BIIFKI2BII14T14,VILEK1I,I7SHARZ129FK1I,YBBZ12BII,Z13GII,TMFVBIIPIGIIQIBIIEIA1BIIFIA2GIIEIA2GIIFIA1,“,VZ808NULLNULLSNULL2010M28FK1IBIIPIGIIQIBIIA1GIIA2EK1IGIIA1BIIA215Z15,VFK1IEK1I,Z14Z15NULLZEEZB9A1A2H,KEIFIBNULLZEMB22NULLPV9TLPPA|V|,NULLE,PA|V|M,V59FKP,/TV9EKPBEKP|V|2FKP29FKPEKP,N59QKPBVZ13,VQKPBPPEKP2FKP2EKPA2FKPA116QKP,Z15VFK1PBPPPKPGPPQKPBPPA1GPPA2EKP/GPPA1BPPA217VZ17,V9FK1P,“,EK1P|V|2FK1P218VEK1P,NULLE9P,|V|L9VB3NULL潮流计算的程序框图M1EM,CI,N91BZE,NULLDE9B,PQPV,1QVO,1QEF,11Q,ATPVV,L,XVR“,LN,1NULLE,BR“SB4NULL计算实例NULLEWWS/,|4E“D9BL,N1DE4ESB图1NULL2种高斯NULL赛德尔法潮流计算程序框图M2B“D,EF,AMPFM1SBL1A2A3PQ,4PVA5,/SYNULLENULLE9B图2NULL五节点电力系统图41NULL“DSS116J08,S220J10,S337J13,P450/8138096NULLNULLNULLNULLNULLNULLPBE“D9ID1NULLFNULL,B,K,ICPAESEMSJS,2010,30125125423,NULLICPNULLAESECJAE8,1995,353563,FLJ080E15QSJ8S,2009,291036394D,YS,NULLH,ANULLICPNULLAESEFAQHJSK,2009,282150156809NULLNULL|V01|V02|V03|V04|100,|V4|V5|105E01E02E03100,E04E5105,F01F02F03F04F50B42NULLTSV1F“NULL/DNULLEQK1NULLEQK21BV1NULL2NULLEQ1NULLK1GSK2NNULLGS1175145111441171211992139669147644155942162145617L10218LYVV1VA,5“D,|F“NULL1316H,DNULLEQMS96214,NULLEQ6956BEZVRTVVEYBVN,ZEQ1ZEH,7OF“ASFW,ZEFAN“DB5NULL总结1EB,WE,F1,LBNULLE9EE,7OZBNULLE|1P,7OVF/LZBBTDNULLE9,1Q2QYPNULLE,4BNULLZEDZEM1,ZEZTVRTDZE,9TFE,QH30,7OF“ASFWBID1NULL,9“DS/MQS/V,20022NULL“DSMS,20073O“DM,19884CIVM0,20035POWERANDENERGYRESEARCHUNIT,SCHOOLOFELECTRICALENGINEERING,SURANAREEU