,,(,300072):,PQPIPVPQ(V),,,,,13,:;;;:TM711;TM727.2:2007210209;:2008201203(50777047);(306004);0,[122][3212],[8],PV,,,0,[9][8],,PV,,[10],,/[13215],1,PQPVPIPQ(V):,PQ;,,PQ;PI;,PV,PV;,PQ(V)1.1PQPQ,,PQ:S=-PjQ,Q;,,,Q:Ikinj-PQ=SsPQVkPQ3(1):VkPQkPQ,833252008310Vol.32No.5Mar.10,20081.2PVPVP,V,PV,PVPV,PVVsPVPV,PVQkPVIkinj-PV:QkPV=|VkPV|VkPVX(2)Ikinj-PV=-jQkPVVkPV3=1XVkPV(90+kPV)(3):VkPV=|VkPV|-VsPV;XPV,PV:Ikinj-PV=Ik-1inj-PV+Ikinj-PV(4):Ikinj-PVkPVPV,PVPV,PVPQPVQkPV:QkPV=Im(VkPV(Ikinj-PV)3)+Qkload(5):QkloadPVk1.3PIPI,PsPIIsPI:QkPI=IsPI2|VkPI|2-(PsPI)2(6)PI:Ikinj-PI=-PsPI-jQkPIVkPI3(7)1.4PQ(V),,sV;PQ(V)[16],kPQ(V):SkPQV=-PsPQV+j(QkPQV-Qkcap)(8)Ikinj-PQV=SkPQVVkPQV3(9):QkPQVQkcapk22.1,2:,;,,[8]11Fig.1Shortcircuitcompensationcircuit1:Zf=zfg+zfazfgzfgzfgzfg+zfbzfgzfgzfgzfg+zfc(10)zfa,zfb,zfc,zfg,,,2,,,,2,,:Zeq=ZLLZLFZFLZFF(11)93,:ZLL,,3;ZLFZFL,;ZFF,,3,:,2:ZLLZLFZFLZFFIkLIkF=UkLUkF(12):IkLIkF;UkLUkF,UkL=Ukj1-Ukj2,UkF=Ukf1-Ukf2;Ukj1Ukj2,;Ukf1Ukf2,Ukf1,Ukf2,:IkL=Ik-1L+IkL(13)IkF=Ik-1F+IkF(14)2.2,,,,,:yload=S3load|Vload|2(15)k,:Ikload=yloadVkload(16),,,,,,PQ,PV,PI,PQ(V)41)2)3)4)5),PQ,PV,PI,,PQ(V)6),7),,8),9)PI,,PIPQ,PI10)PV,,PVPQ,PV11)2,PV,,,,412),,4;,PQ(V),,,;,,413),,,,,4;,,,:1)12)5,3)8,4)11,PV,042008,32(5),,,4313,AA1,:812,,1AA1A2,100kVA,7.2kV,2.4kV,8.0192A,24.0385A1:PQ11,50kW,70kvar;PV9,120kW;PI10,100kW,70A;PQ(V)5,150kW,2.4kV(1.9kV)13,,,0.981Table1Calculationresultsofweaklymesheddistributionsystemwithmultipletypesofdistributedgenerationsunderthree2phaseshortcircuitabcabc11.000001.000001.0000022.7420.4219.2220.979700.984390.9845922.7420.4219.2230.894730.881010.8973564.3865.3757.4840.727760.726410.7352449.9953.5847.7950.863020.863940.8716720.7817.1615.3460.727240.723250.732420.901.012.4870.572850.574520.5812546.2952.1345.4880.711760.714620.7233444.6749.6544.4090.999260.999260.9992643.1945.3242.04100.731120.728060.735951.021.681.24110.287120.286880.2905085.0897.2885.74120.711760.714620.7233441.4646.9542.12130.000000.000000.0000085.2997.3385.69,,,,,,,,4,,,,()[1],,..,2003,27(12):72275.LIANGYouwei,HUZhijian,CHENYunping.Asurveyofdistributedgenerationanditsapplicationinpowersystem.PowerSystemTechnology,2003,27(12):72275.[2]PUTTGENHB,MACGREGORPR,LAMBERTFC.Distributedgeneration:semantichypeorthedawnofanewera.IEEEPowerandEnergyMagazine,2003,1(1):22229.[3],,...,2003,23(2):50253.JIANGTong,BAIXuefeng,GUOZhizhong,etal.Anewmethodofpowersystemfaultcalculationbasedonsymmetricalcomponents.ProceedingsoftheCSEE,2003,23(2):50253.[4]BERMANA,XUW.Analysisoffaultedpowersystemsbyphasecoordinates.IEEETransonPowerDelivery,1998,13(2):5872595.[5]KERSTINGWH.Distributionsystemmodelingandanalysis.BocaRaton,FL,USA:CRCPress,2002.[6]HONGHW.Applicationofthetwo2stepcompensationmethodtoline2outandline2endfaultcalculation.IEEETransonPowerSystems,1987,2(3):7302736.[7]NINGWenyuan,ZHANGBoming,SUNHongbin,etal.AresearchonfaultcalculationandsimulationforEMS//14,ProceedingsofInternationalConferenceonElectricalEngineering:Vol1,Aug12215,1996,Beijing,China:9752979.[8],..,2002,26(20):50254.WUWenchuan,ZHANGBoming.Auniformapproachforpowerflowanalysisandfaultanalysisofasymmetricalthree2phasedistributionsystem.AutomationofElectricPowerSystems,2002,26(20):50254.[9],,,.PV.,2004,32(2):629.PENGShutao,LIAOPeijin,LILin,etal.Anapproachtopowerflowandfaultanalysisofunbalanceddistributionsystemwithmulti2PVnodes.Relay,2004,32(2):629.[10],,.66kV.,1997,17(3):2072210.CAOGuochen,SONGJiahua,LIUZhuo.Anewmethodtocalculateshortcircuitsinweaklymesheddistributionandsub2transmissionnetworks.ProceedingsoftheCSEE,1997,17(3):2072210.[11]CHENTH,CHENMS,LEEWJ,etal.Distributionsystemshortcircuitanalysis:arigidapproach.IEEETransonPowerSystems,1992,7(1):4442450.[12]ZHANGX,SOUDIF,SHIRMPHAMMADID,etal.Adistributionshortcircuitanalysisapproachusinghybridcompensationmethod.IEEETransonPowerSystems,1995,10(4):205322059.[13],..,2007,31(13):47251.SHIJiachuan,LIUYutian.Multi2objectivevoltagecontrolindistributionnetworkswithdistributedgeneration.AutomationofElectricPowerSystems,2007,31(13):47251.[14],,..,2007,31(3):19223.JIANGNan,GONGJianrong,GANDeqiang.Computingthemaximumpenetratinglevelofdistributedgeneratorsindistributionnetworkbytakingaccountofharmonicconstraints.AutomationofElectricPowerSystems,2007,31(3):19223.[15],..,2007,31(1):89292.LUZhigang,DONGYuxiang.ServicerestorationstrategyforthedistributionsystemswithDGs.AutomationofElectricPowerSystems,2007,31(1):89292.[16],,..,2006,30(21):42245,61.WANGShouxiang,JIANGXingyue,WANGChengshan.Powerflowanalysisofdistributionnetworkcontainingwindpowergenerators.PowerSystemTechnology,2006,30(21):42245,61.(1973),,,,,:E2mail:sxwang@tju.edu.cn(1984),,,:(1962),,,,:ASuperpositionMethodofFaultAnalysisforDistributionSystemsContainingDistributedGenerationsWANGShouxiang,JIANGXingyue,WANGChengshan(KeyLaboratoryofPowerSystemSimulationandControlofMinistryofEducation,TianjinUniversity,Tianjin300072,China)Abstract:Traditionalfaultanalysisofdistributionnetworkscannotmeettherequirementofdistributedgenerationsystem(DGs).Inordertosolvethisproblem,diffe