基于快速块LMS算法的统一电能质量调节器谐波电流预测方法

29220104AdvancedTechnologyofElectricalEngineeringandEnergyVol.29No.2April20102009-08-1009JJ60702008GK30981961-、。LMS412008LMS。FFTLMS。。tt+2t+1LMS。。FFTLMSTM922A1003-3076201002-0053-041WindrowsHoffLeastMeanSquareLMS12。、3-5。LMS。LMS2。SLMS、S2。6-8。、A/DUniversalPowerQualityConditionerUPQCUPQC8。6。7LMSLMS。2UPQCUPQC1。、。UP-QC。UPQC。。3LMS3.1LMS54291Fig.1Principleschemeofuniversalpowerqualityconditioner。k2^wk+1=^wk+μΣL－1i=0ukL+iekL+i=^wk+μk1k=ΣL－1i=0ukL+iekL+i=ukek2LμukL+i、ekL+ik^wk。ML1L=M2LM3LM。。。。。3.2LMSFFT3.2.1ukL+i2ykL+i=^wTkukL+i=ΣM－1j=0^wjkukL+i－ji=01…L－13MNFFT。N×1W^k=FFT^wk[]040M×1。3yTk=ykMykM+1KykM+M－1=IFFTUk^Wk[]M5Uk=diagFFTukM－MKukM－1ukMKukM+M－1IFFT。kM×1ek=ekMekM+1KekM+M－1T6Ek=FFT0ek[]72k=IFFTUHkEk[]M8UHkUk。1、4、8LMSW^k+1=W^k+μFFTk[]093.2.22μi=αPi10αPiii=01K2M－1。1LMS102LMS。Pik=γPik－1+1－γUik211i=01K2M－1γ0γ1UikkLMSi。11Pik=1－γΣ∞l=0γlUik－l212iPik10μμk=αDk=αdiagP－10kP－11k...P－12M－1k13Dk=diagP－10kP－11k...P－12M－1k[]。2LMS554LMS2、。t+2UPQC。2Fig.2Blockdiagramofpredictioncontrolsystem4.1fN。。iht－5、iht－4、iht－3、iht－2、iht－1、iht6。。tt+2t+1LMS。4.2tipttt+1t+28。5Matlab6.1Simulink。220V50Hz1.5mH2500μF20Ω3000μF。LMS、LMS、。13aa68.3%。3b、c、da6.1%、5.3%2.2%。LMS。LMS。3Fig.3Currentwaveformsfromthreemethods2。LMS4、5N=200M=6L=40.0300.05。4at=0.02t=0.050.02～0.05s0.05～0.1s0～0.02s。4b。4Fig.4Trackingcharacteristicofamplitude5at=0.02t=0.055b。56295Fig.5TrackingcharacteristicoffrequencyLMS6。0.5×10－30.55×10－3。6Fig.6Squareerrorofamplitudeandfrequencyprediction6LMSLMS。LMS12、、0.5×10－30.55×10－33tt+2。References1KarimiHKarimi-ghartemaniMIravaniMRetal.AnadaptivefilterforsynchronousextractionofharmonicsanddistortionsJ.IEEETrans.onPowerDelivery20031841350-1356.2SimonHaykin.AdaptivefiltertheoryfourtheditionM.USAPearsonEducation2002.3YuKKCWatsonNRArrillagaJ.AnadaptiveKal-manfilterfordynamicharmonicstateestimationandhar-monicinjectiontrackingJ.IEEETrans.onPowerDe-livery20052021577-1584.4BarrosJPerezE.Anadaptivemethodfordeterminingthereferencecompensatingcurrentinsingle-phaseshuntactivepowerfiltersJ.IEEETrans.onPowerDelivery20031841578-1580.5HanBBaeBKimHetal.Combinedoperationofuni-fiedpowerqualityconditionerwithdistributedgenerationJ.IEEETrans.onPowerDelivery2006211330-338.6FukudaSSugawaS.AdaptivesignalprocessingbasedcontrolofactivepowerfiltersA.IEEEIASAnnualMeetingC.SanDiegoUSA1996.7SuMeiWangLinaZhangTaishanetal..HarmonicpredictionmethodbasedonadaptivefilterJ.Control＆Decision200419121429-1432.8LiShengqingZhouYou-qingZhuYinghaoetal..Harmoniccurrentpredictionmethodofcombinedpowerfiltersystembasedonweightedfirst-orderlocalareatheoryJ.Proc.CSEE200424619-23.HarmoniccurrentpredictionmethodofuniversalpowerqualityconditionerbasedonrapidblockLMSalgorithmLISheng-qingLUOFeiCHENXing-guoHunanUniversityofTechnologyZhuzhou412008ChinaAbstractThepaperpresentsamethodofuniversalpowerqualityconditionerharmoniccurrentpredictionbasedon61cont.onp.612612LiuYanGuXuepingZhangDan.Dataenvelopmentanalysisbasedrela-tiveeffectivenessassessmentofpowersystemblack-startplansJ.Proc.CSEE200626532-37.3GaoYuanwang.Automaticderivationandassessmentofoperationalschemesinablack-startdecisionsupportsystemD.BaodingNorthChinaElec.PowerUniv.2003.4WuDiantingLiDongfang.ShortcomingofanalyticalhierarchyprocessandpathtoimprovemethodJ.JBeijingNormalUniv.2004402264-268.5ChangDayongZhangLili.Fuzzymathematicsmethodine-conomicmanagementM.BeijingBeijingEconomicCollegePress1995.6XuZeshuiDaQingli.PossibilitydegreemethodforrankingintervalnumbersitsapplicationJ.JournalofSystemsEng.200318157-70.7WangNing.Re-searchonblackstartofHeilongjiangpowersystemD.HarbinHarbinUniv.ofScience＆Technology2005.Fuzzyintervalnumberbasedhierarchicalanalysisprocessforassessingblack-startplansLIXiu-qing1SHANGJing-gang1JIANGShi-jin2LIUZi-jun2SONGYun-feng11.SchoolofElec.Eng.NortheastDianliUniversityJilin132012China2.JixiElectricityPowerBureauJixi158100ChinaAbstractRationalblack-startplansarenecessaryforrestoringthepowersystemassoonaspossible.Anovelmethodforassessingblack-startplansnamelyfuzzyintervalnumberbasedhierarchicalanalysisisproposedinthispaper.Firstthebasicstepsofhierarchicalanalysisprocessareintroducedaccordingtoinfluencingfactorstoblack-startplans.SecondlyconsideringtheshortcomingsofAHPfuzzyintervalnumberisintroducedwhichcanbeusedtoestablishjudgmentmatrixandtoassignpriority.Finallythebasicstepsofthisnovelmethodaregiven.Itisprovedfromanapplicationofanactualpowersystemthatthemethodcanprovidedispatcherswithmorecom-prehensiveandexactdecision-makingreferences.Keywordsblack-startassessanalytichierarchyprocess櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆fuzzyintervalnumber56cont.fromp.56rapidblockLMSalgorithmwhichutilizestheFFTinLMSalgorithmandoverlappingstorage.Thefilterupdatingweightvalueisobtainedbymeansofblockprocess.Eachadjustableweightvalueisassignedwithvariablestepsundergeneralizedstationaryandgeneralizednon-stationaryrandomprocessconditions.Atmomenttthedifferencebetweenthecontrolledandreferencevaluesispredictedandtheminimumvalueofthedifferenceisobtainedbychoosingthet+1momentcontrolstrategyandbyusingtherapidblockLMSalgorithm.Thesimulat