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,(,100041):,,,,H,PWM,,,DSPCPLD,SPWM,PWM:;;;:TP464:AHarmonicAnalysisandDigitalImplementationofMulti2carrierHorizontalModulationStrategyZHOUJing2hua,LIZheng2xi(CollegeofMechanicalandElectronicalEngineering,NorthChinaUniversityofTechnology,Beijing100041,China)Abstract:Asmulti2levelinverterhaslotsofadvantagessuchaslargeoutputcapacityandlowharmoniccontentofoutputvoltage,itiswidelyusedinmediumandhighvoltageoccasions.Buttheperformanceofmulti2levelinverterisaffectedmuchbythemodulationstrategy.Inordertooptimizetheharmonic,aharmonicexpressionofdoubleandplanephase2shiftingPWMwasdeducedaccordingtomulti2module2cascadedmulti2levelinverter,thedistributingcharacteristicofharmonicwasanalyzedindetails,andthereasonwhytheharmoniccanbeeliminatedbyhorizontalphase2shiftingtechniquewasdiscussedintheory.Atlast,adigitalsystemofmulti2module2cascadedinverterwasbuildbyDSPandCPLD.Thecharacteristicofharmonica2nalysismethodandhorizontalphase2shiftingPWMmodulationmethodisprovedbythesimulationandex2perimentalresults.Keywords:multi2levelinverter;multi2carrierplanephase2shifting;harmoniccharacteristics;digitalimple2mentation:(KM200710009004):(1974-),,,,Email:zjh@ncut.edu.cn1,,,,,[1],,,,,,,72ELECTRICDRIVE2008Vol.38No.1220083812,,,(DSP)(CPLD),PWM,,2,1,H(2)H(3)1Fig.1Twolevelsinglephaseinverter2HFig.2H2bridgeinverter3Fig.3Multi2unitseriesinverter1,Ur(t)=Amcos(0t),M=Am/(E/2)VaoVao(x,y)=E2+ME2cos(0t)++m=1+n=-2EmJn(m2M)sin[(m+n)2]cos(mct+n0t)(1)2,Vab,,N,2N+1[3]H44HFig.4DoublemodulationofH2bridgeinverter4,,Vab2,2,,,H4,(2),180,Ur(t)1,-Ur(t)2,:Vbo(x,y)=Vao(x,y-)=ME2cos(0t-)++m=1+n=-2EmJn(m2M)sin[(m+n)2]cos(mct+n0t-n)(2)(1)(2):Vab(x,y)=Vao(x,y)-Vbo(x,y)=MEcos(0t)++m=1+n=-4E2mJ2n-1(2m2M)cos[(m+n)]cos[2mct+(2n-1)0t](3)H,:1)2fc,;2)N,i8220083812,:ci=(i-1)2/N,i=1,2,,N,2/N1Ur(t),2-Ur(t)iVab,i(t),(3),:Vab,i(t)=Vab,i(x,y)=Vab,1[x+(i-1)2N,y]=MEcos(0t)++m=1+n=-4E2mJ2n-1(2m2M)cos[(m+n)]cos[2mct+(2n-1)0t]NVab(t),Vab(t)=Ni=1Vab,i(t)=NMEcos(0t)++m=1+n=-4E2kJ2n-1(2kN2M)cos[(kN+n)]cos[2kNct+(2n-1)0t](4)(4),1),N2)N,2Nfc(2kNfc),2Nfc3,H,,,,4,55,,(5)(9):t2=(1+UrsinnU)NTs2(5)5Fig.5Sketchofdigitaldisposeofdoublemodulationt2=(1-UrsinnU)NTs2(6)Wa1=t1=t3=(2NTs-t2)/2=NTs4(1-UrsinnU)(7)Wa2=t1=t3=(2NTs-t2)/2=NTs4(1+UrsinnU)(8):sinnn;Ts=t=2ft,,:n=n-1+=2fTs(9)Wa1,Wa2,A2(Wb1,Wb2B,Wc1,Wc2C)(5)(9)DSP,DSPTsA,B,C6,,(4),2/N,N,N,iUiU1Ui(t)=U1[t+(i-1)Tc/N]=U1[t+(i-1)Ts]i=1,2,,N(10)(10),Tc=NTs,Ts,(10),66,3:U1,U2,U3Ts=Tc/3,Tc,,92,:20083812PWM,PWM,6Fig.6Sketchoftherelationbetweendoublemodulationandphaseofthecarrier,CPLD,,(7)(8),K,Ts,77,K=i(i=1,2,3),,,i,iTs,K7Fig.7Sequentialchartofpulsedistributingandcarrierorientation,PWM,PWM,,,,DSPCPLDCPLDTs,DSP,DSPPWM,CPLDPWM,DSPCPLDSPWM,DSP,CPLD,,4DSPCPLD4.1()8DSPTMS320C33,32,,A/DADS7864,TI612A/DCPLDCPLDAl2teraEPM7128EPM72568Fig.8Theconstitutionsofexperimentalsystem4.2DSPCPLD(EPM7128),9,CPLDDSPINT0Ts,DSP,,,,,DSP,DSP0320083812,:DSPCPLD,ADS7864ADRDADCONSTADCS,CPLDDSP40M5,ADS78648MAD8M9DSPFig.9ThestructureofDSPcontrolboard4.33CPLD(EPM7256):CPLD_1,CPLD_2,CPLD_3,,10CPLDPWM,1010,CPLD:1),DSP,,DSP;2),;3),;4),,0,,;5),10,101CPLDPWMFig.10PartlyPWMdesignimplementononeCPLDCSA1,,CSC26,PA11,,PC12A,B,C3H6,,64.411H11Fig.11Onephaseofthreeunitsseriesmulti2levelinverter5,,Matlab:E=150V,L=2mH,C=25F,fc=6kHz,f0=400Hz,M=0.82.5s12,2SA1,SA212SA1,SA2,:,(7)(8);,,CPLD122SA1,SA2Fig.12DrivewavesofSA1,SA2shownonFig.213,:2008381213H313b,,2fc(30)13HFig.13H2bridgepowerunitoutputvoltageandfrequencyspectrumanalysis147,1514b15b,2Nfc=36kHz(90),,(14)1415,,DSPCPLD,SPWM,147Fig.1472levelstepwaveandfrequencyspectrumanalysis157Fig.1572levelstepwaveandfrequencyspectrumanalysisofexperimentalsystem15b13b,SPWM16,LC,16Fig.16Outputvoltagewaveafterfilter6H,,SPWM,,,DSPCPLD,SPWM,,[1]ZhangH,JouanneA,DaiS,etal.MultilevelInverterModulationSchemestoEliminationCommon2modeVolta2ges[J].IEEETrans.onInd.Appl.2000,36(6):1645-1653.[2]LaiJS,PengFZ.MultilevelConverters2aNewBreedofPowerConverters[J].IEEETransIndApplicat.,1996,32(2):509-517.[3]LiangYiqiao,NwankpaCO.ANewTypeofSTATCOMBasedonCascadingVoltage2sourceInverterswithPhase2shiftedUnipolarSPWM[J].IEEETrans.onInd.Appli2cat.,1999,35(5):1118-1123.:2007212205:20082062052320083812,: