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1、5376IEEETRANSACTIONSONINDUSTRIALELECTRONICS,VOL.60,NO.12,DECEMBER2013ANoniterativeOptimizedAlgorithmforShuntActivePowerFilterUnderDistortedandUnbalancedSupplyVoltagesParagKanjiya,VinodKhadkikar,Member,IEEE,andHatemH.Zeineldin,Member,IEEEAbstractInthispaper,asingle-stepnoniterativeoptimize
2、dActivepowerfilters(APFs)arewidelyusedtoovercomealgorithmforathree-phasefour-wireshuntactivepowerfiltersuchpowerqualityproblems[2][5].Therearetwomainunderdistortedandunbalancedsupplyconditionsisproposed.APFcontrolstrategiesforloadcompensationwhenthesupplyThemainobjectiveoftheproposedalgorit
3、hmistooptimallyvoltagesareunbalancedanddistorted[6][13]:1)harmonic-determinetheconductancefactorstomaximizethesupply-sidepowerfactorsubjecttopredefinedsourcecurrenttotalharmonicfree(HF)sourcecurrentsand2)unity-power-factor(UPF)distortion(THD)limitsandaveragepowerbalanceconstraint.sourcecur
4、rents.TheHFstrategyresultsinsinusoidalsourceUnlikepreviousmethods,theproposedalgorithmissimpleandcurrents[6],whiletheUPFstrategycanachieveminimumroot-fastasitdoesnotincorporatecomplexiterativeoptimizationmean-square(rms)sourcecurrentmagnitudes.Additionally,techniques(suchasNewtonRaphsonan
5、dsequentialquadratictheUPFstrategycanprovideeffectivedampingtoavoidanyprogramming),hencemakingitmoreeffectiveunderdynamicloadconditions.Moreover,separatelimitsonoddandevenTHDsresonance[7],[8].BothHFandUPFcontrolstrategiesunderhavebeenconsidered.Amathematicalexpressionfordeterminingsinusoi
6、dalandbalancedsupplyconditionwillleadtoidenticaltheoptimalconductancefactorsisderivedusingtheLagrangianperformance.However,whenthesupplyvoltagesaredistortedformulation.Theeffectivenessoftheproposedsingle-stepnon-andunbalanced,HFandUPFoperationscannotbeachievediterativeoptimizedalgorithmis
7、evaluatedthroughcomparisonsimultaneously.Forthisreason,previousliteratureintheareawithaniterativeoptimization-basedcontrolalgorithmandthenvalidatedusingareal-timehardware-in-the-loopexperimentalofshuntAPFsunderdistortedandunbalancedsupplycondi-system.Thereal-timeexp
