一种混合有源电力滤波器的电流控制新方法.pdf

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1、?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 filter

2、WU 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 dis

3、advantageous 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 contro

4、llerwith 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 de

5、rived 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 effec

6、tiveness 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,RITHAP

7、F)?,?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,?:?

8、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 conventiona

9、l 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 cont

10、rol 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?.?RI

11、THAPF?,?,?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)?

12、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,

13、?(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 predicto

14、r)?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.

15、?(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?R

16、H=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 Simulatio

17、n 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?

18、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 Frequen

19、cy spectrums comparison of source current6?(Conclusion)?,?.?,?,?.?,?.?(References):1?,?,?,?.?M.?:?,2006.(WANGZhaoan,YANGJun,LIUJinjun,etal.HarmonicsSuppress-ing and Reactive Power CompensationM.Beijing:China MachinePress,2006.)2 SHUAI Z K,LUO A,SHEN Z J,et al.A dynamic hybrid var com-pensator and a

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