20139Vol.28No.9289TRANSACTIONSOFCHINAELECTROTECHNICALSOCIETYSep.2013APF()430074APFAPFAPFAPFTM77StudyonHarmonicCompensationCharacteristicsofShuntAPFtoTwoTypesofNonlinearLoadsDaiKeLiuCongLiYanlongZhangShuquanKangYongStateKeyLaboratoryofAdvancedElectromagneticEngineeringandTechnologyHuazhongUniversityofScienceandTechnologyWuhan430074ChinaAbstractTheharmoniccompensationcharacteristicsofshuntAPFtovoltage-sourceandcurrent-sourcetypenonlinearloadsarestudiedinthispaperbythemethodofcircuitequivalence.Itisfoundthattheharmonicamplificationeffectswilloccurunderbothconditions,andtheamplificationeffectismoreseriouswhenshuntAPFcompensatingvoltage-sourcetypenonlinearload,whichwilldecreasetheeffectivenessofharmoniccompensation.Themathematicalexpressionstodescribetheharmonicamplificationeffectarederived,itisshownthatthecircuitparametersofthesystemwillaffecttheharmoniccompensationcharacteristicofshuntAPF,properincrementoftheload-sideequivalentimpedancemayreducetheharmoniccurrentamplificationeffect,whichensuresgoodcompensationperformanceforbothtypeofnonlinearloadsbyshuntAPFs.Thecorrectnessoftheoreticalanalysisisverifiedbytheresultsofsimulationsandexperiments.KeywordsActivepowerfilter(APF),nonlinearload,harmoniccompensation,harmonicamplificationeffect1[1][2,3]PPFAPF[4-10]APFPPF51277086DREG20100092011-12-072012-03-168020139APFAPF[11-15]APFAPFAPFAPF[16-20]APFAPFAPFAPF2APFVLZL1aILZL1b1Fig.1Nonlinearloadsandtheirequivalentcircuits2APFZSAPFiCiSAPFDSPA/DDSPPWMPWMiCPCC2Fig.2Blockdiagramoftheparallelcompensatingsystem3APFAPFAPFISh03.13aAPFvSiSiLiCAPF3bhVShIChAPFVLhZLhVhPCCIShILhIChAPFh289APF813APFFig.3ShuntAPFcompensatevoltage-sourcetypenonlinearload3bAPFICh=0ISh=ILhPCCSSSLLLhhhhhhhVVIZIZV11SLLSLhhhhhVVIZZ2LSSLLSLhhhhhhhZVZVVVZZ3ShILhIChIAPFhAPFh=ChI/LhIShI=(1)LhIPCCSSSLLLhhhhhhhVVIZIZV4SLLLS1hhhhhVVIZZ5LSSLLLS11hhhhhhhZVZVVVZZ6hLLLS11hhhhIIZZ7hLSSLSLLLSLSSL11hhhhhhhhhhhhhZVZVZZVVZZZVZV83.24aAPFvSiSiLiCAPF4bhVShIChAPFILhZLhVhPCCIShIpLIChAPFh4APFFig.4ShuntAPFcompensatecurrent-sourcetypenonlinearload4bAPFIC=0ISh=ILh+IphPCCSSSpLSLLhhhhhhhhhVVIZIZIIZ9ShIphIChIAPFhAPFhChI=(ILh+phI)SLp1hhhIII10PCCpLSSShhhhhhVIZVIZ1191011SLSpLS11hhhhhhVIZIZZ12SLSLpLLLS11hhhhhhhhhVIZVVIZZZZ138220139hLpLpLS11hhhhhhIIIIZZ14hSLSLSLLSSLS11hhhhhhhhhhhVIZZZVVZZVIZ153.3ηη=ZLh/ZShZShZLh[2]ηη7141116165011APF5Fig.5Diagramofharmoniccurrentamplificationeffect50APF1APFAPFAPFAPFηAPFAPFAPFVSh=08151111171761APF6Fig.6Diagramofloadac-sidevoltagechangerate4Matlab/Simulink24.17APFiLiSAPFiCC=7mFR=15APF0.15s93A130ATHD103.74%131.69%THD32.45%289APF837APFFig.7DynamicsimulationwaveformswhenAPFcompensatevoltage-sourcetypenonlinearloadZLη8250HAPFTHD3.87%THD67.97%THD78.14%8250HFig.8Simulationwaveformswith250Hseriesinductance4.29APFL=0.5mHR=15THD4.35%THD29.33%29.77%9Fig.9DynamicsimulationwaveformswhenAPFcompensatecurrent-sourcetypenonlinearload566kVAAPFDSPTMS320F2812SEMiX302GB12E4SIGBTIGBT9.6kHz5.110APFCR7mF15250HiSTHD4.83%11THD64.5%75.08%555.7%62.88%729.69%38.24%5.212APF842013910APFFig.10ExperimentalwaveformswhenAPFcompensatevoltage-sourcetypenonlinearload11Fig.11Comparisonofloadac-sidecurrentwaveformsbeforeandafterharmoniccompensation12APFFig.12ExperimentalwaveformswhenAPFcompensatecurrent-sourcetypenonlinearloadLR0.5mH15THD27.88%28.23%THD2.77%APF6APFAPFAPFAPF[1],,,.[M].:,2010.[2]FZPeng.Harmonicsourcesandfilteringapproaches[J].IEEEIndustryApplicationsMagazine,2001,7(4):18-25.[3],,,.[J].,2001,21(2):16-20.WangQun,YaoWeizheng,LiuJinjun,etal.Harmonicsourcesandcompensationcharacteristicsofactivepowerfilters[J].ProceedingsoftheCSEE,2001,21(2):16-20.[4]AkagiH.Activeharmonicfilters[J].ProceedingsoftheIEEE,2005,93(12):2128-2141.[5],,,.[J].,2010,25(9):115-121.ZhangShuquan,DaiKe,XieBin,etal.Parallelcontrolofshuntactivepowerfilterswithcapacityproportionfrequencyallocationcompensation[J].TransactionsofChinaElectrotechnicalSociety,2010,25(9):115-121.[6],,,.[J].,2009,24(5):125-134.ShuaiZhikang,LuoAn,LiuDingguo,etal.Anovelactivepowerfilterwithseriesresonancecircuit[J].TransactionsofChinaElectrotechnicalSociety,2009,24(5):125-134.289APF85[7],,,.[J].,2007,22(2):127-131.GengPan,DaiKe,WeiXueliang,etal.Therepetitivecontrolalgorithmbasedcurrentwaveformcorrectionforshuntactivepowerfilter[J].TransactionsofChinaElectrotechnicalSociety,2007,22(2):127-131.[8],,,.[J].,2005,25(14):41-45.ZhouLuowei,ZhangDong,DuXiong,etal.Anovelseriesactivepowerfilter[J].ProceedingsoftheCSEE,2005,25(14):41-45.[9],,.[J].,2005,20(2):51-55,68.LuoAn,ZhangJing,FuQing.Developmentofhigh-capacityhybridactivepowerfilter[J].TransactionsofChinaElectrotechnicalSociety,2005,20(2):51-55,68.[10],,,.RDFT[J].,2011,31(7):96-100.LiuCong,DaiKe,ZhangShuquan,etal.ApplicationofRDFTalgorithminactivefilters[J].ElectricPowerAutomationEquipment,2011,31(7):96-100.[11]CristianL,LucianA,IonBoldea,etal.Highperformancecurrentcontrollerforselectiveharmoniccompensationin