一种混合有源电力滤波器的电流控制新方法.pdf

?28?8?2011?8?Control Theory&ApplicationsVol.28 No.8Aug.2011?:10008152(2011)08115108?,?,?,?(?,?410082)?:?,?,?Ziegler-Nichols?PI?Smith?.?Ziegler-Nichols?PI?,?PI?;?,?,?;?(ITAE)?PI?,?.?,?PI?,?.?:?;?;Ziegler-Nichols?;?;ITAE?:TM761,TN713.8?:ANovel approach of current control for hybrid active power filterWU Jing-bing,LUO An,PENG Shuang-jian,YU Li(College of Electrical Information and Engineering,Hunan University,Changsha Hunan 410082,China)Abstract:The dead-zone of controlled devices and time-delay in digital controllers are disadvantageous to the overallperformance of the system;to tackle these disadvantageous effects we propose a novel controller consisting of the-compensation Smith predictor and the PI controller with parameters optimized by the improved Ziegler-Nichols method.The control performance of the proposed controller is better than that obtained by using the conventional PI controllerwith optimal parameters.The introduction of the-compensation Smith predictor effectively eliminates the time-delay inthe control process;this improves the response speed and the system stability,and promotes the control accuracy.Since,by the integral time absolute error(ITAE)criterion,we have derived the mathematical relations between parameters ofthe-compensation Smith predictor and the improved PI controller;it is possible to determine the parameters of the-compensation Smith predictor from the parameters of the improved PI controller.Simulation and experimental resultsvalidate the effectiveness of this control method.In addition,this controller outperforms fuzzy PI controller in somefiltering effects.Key words:time delay;active power filter;Ziegler-Nichols method;-compensation predictor;ITAE criterion1?(Introduction)?,?1,2.?(resonantimpedance type hybrid active power filter,RITHAPF)?,?3,4.?,?,?,?,?5,6,?,?,?.?,?,?(IGBT)?,?,?IGBT?.?,?,?.?4,?,?Ziegler-Nichols?PI?Smith?.?PI?Ziegler-Nichols?;?Smith?,?,?:20100131;?:20101002.?:?(60774043);?973?(2009CB219706).1152?28?,?;?ITAE?PI?,?,?Smith?.2RITHAPF?(Configuration of RITHAPF and track-ing control method of harmonic voltage)?3,4?1,?:?C?RITHAPF?(active power filter,APF),L0?C0?;L1?C1?,?,?.L5?C5,L7?C7?,LH,CH?RH?.?;APF?,?.?1?Fig.1 Configuration of RITHAPF?,RITHAPF?2?,?iLh,uc?,ic?,ish?.?2 RITHAPF?Fig.2 Single-phase equivalent circuit of RITHAPF?2?,?ic?ic=iLh,(1)?ish=0.(2)?2?(1)(2),?3?.?:G0?ic?uc?;?PI?;PWM?G0?.?3?Fig.3 The conventional current control structure?2,?ic?uc?G0:G0=icuc=(sL0+(sLs+Z?+sL1+1sC1(sLs+Z?)(sL1+1sC1)+sC0)1)1,(3)?:Z?=(sL5+1sC5)1+(sL7+1sC7)1+(sLHRHRH+sLH+1sCH)1)1.(4)?(1)(4),?uLh=iLhG0,uc=uLh,(5)?ish=0.?uLh?1G0?.?,?uLh?.?(5)?,?uc?uLh,?(1)?.?,?,?G0?,?.?,?(5)?,?4?.?4?Fig.4 The proposed voltage signal tracking control structure?APF?6,?4?8?:?1153?5?,?iLh?,?uc?.?5?Fig.5 The proposed voltage signal control structure withintroduction of time delay?5?,uc?uLh?ucuLh=Gc(s)Gp(s)ers1+Gc(s)Gp(s)ers.(6)?:r?RITHAPF?;Gc(s)?PI?;Gp(s)?.?(6)?,?,?.3?(Novel track-ing control method of current signal)?uLh=iLh/G0,?5?iLh,?,?5?.?RITHAPF?,?,?6?.?Smith?,?,?;?,?Ziegler-Nichols?PI?.?,?ITAE?.?6?Fig.6 The proposed current signal tracking control structure?6,?uc?uLh?ucuLh=Gc(s)Gp(s)es1+Gc(s)Gp(s).(7)?:Gc(s)?,Gp(s)?.?(7)?,?,?,?.?es,?uc?uLh?,?(5)?.?7?6?Fig.7 The equivalent current signal tracking control structure of Fig.61154?28?(7)?6?,?7?,?uLh?uc?ue?,?u?.3.1?RITHAPF?(Voltagecontroller based on RITHAPF system)?7?8?,?|?.?8?Fig.8 The voltage controller?PI?u?(k)=kpue(k)+tTIk?i=0ue(i)=kpue(k)+kIk?i=0ue(i),(8)?:u?(k)?PI?;kp,kI?,t?,TI?;ue(k)=uLh(k)uc(k).?(8)?PI?,?Ziegler-Nichols?7,?kp=0.6ku,(9)TI=0.5tu,(10)?:ku?kp?,tu?.?(9)(10)?PI?8,?(k)?kp,kI?,?(11)(12):k?p(k)=kp(1+k1|(k)|),(11)k?I(k)=kI(0.3+k2(k),(12)?:k?p(k)?k?I(k)?;k1?k2?,?k?p?k?I?.?8?,?(k)?(k)=ueN(k)ueN(k).(13)?ueN(k)=ue(k)/|uLh(k)|,(14)?ue(k)?,?ueN(k)=ueN(k)ueN(k 1).(15)?,?u(k)=k?p(k)ue(k)+k?I(k)k?i=0ue(i),(16)?u(k)?.3.2?Smith?(Identificationof-compensation Smith predictor)?6?,?Smith?,?.?Gc?Ziegler-Nichols?PI?,?Gc(s)=kp(A+BTIs).(17)?:kp?TI?PI?;A=1+k1|,B=0.3+k2.?6?,?,?Gp=kinvTinvs+1.(18)?:kinv,Tinv?,?RITHAPF?,?.?Gp=kinvTinvs+1,(19)?:kinv,Tinv?.?(17)(19)?(7),?8?:?1155s2+kinvkpA+1Tinvs+kinvkpBTITinv=0.(20)?ITAE?9?s2+2ns+2n=0.(21)?:n?,?.?n?10?tr,?n=1+1.5+2tr.(22)?,?,?1.?(20)?(21),?:kinv=TInkp(2B ATIn),(23)Tinv=B2Bn A2nTI.(24)?,?(23)?(24)?,?.4?(Simulation results)?RITHAPF?,?.?1?,?,Ra,La?Rb,Lb?;?AC380Vrms/50Hz?;PWM?6.4kHz.?:k1=1,k2=24.?:?=1.15,?tr=0.2s,?n=20.?1?Table 1 Simulation parameters?R/L/mHC/F?0.010.6?1?56?2?6.5?R5=0.02L5=2.75C5=147.6?R7=0.03L7=1.33C7=155.7?RH=1.69LH=0.63CH=110.7?0.0920.71489?0.040.2547?9(a)(b)?PI?,?iL,is,ic,e?.?,?1s?,?PI?.?9?,?,?,?PI?,?3.7?,?;?1.8?,?.(a)?PI?(b)?9?Fig.9 Current waveforms under step changes inthe nonlinear load?10?1156?28?,?,?,?,?2.?11(a)(b)?10(a)(b)?.?10?Fig.10 Current simulation waveforms comparison?2?Table 2 Simulation datas?5th/A7th/A11th/A13th/A17th/ATHD/%?27.515.911.17.86.138.70.79?PI?1.71.81.61.21.36.50.91?0.341.070.60.470.642.70.97?11?Fig.11 Frequency spectrums comparison of current?8?:?11575?(Experiment results)?,?.?3?,?110V,?,?DSP?TMS320C28335?.?3?Table 3 System parameters?R/L/mHC/mF?R5=0.02L5=2.39C5=170?R7=0.03L7=1.08C7=191?RH=3.6LH=1.4CH=52?0.0914.7690?12?,?,?.(a)?A?(b)?A?12?Fig.12 Experimental waveforms comparisonof source current with the proposedcontrol method?13?12?.?RITHAPF?,?5?7?11?13?17?78.9%,60.4%,24.2%,15.6%,15.5%?1.6%,1.7%,2.5%,2.6%,1.7%,?.?,?,?0.84?0.96,?.(a)?A?(b)?A?13?A?Fig.13 Frequency 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