考虑动态边端效应的六相直线感应电机数学模型及矢量控制
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摘要
针对直线电机动态边端效应导致参数时变、推力下降的问题,以短初级双边六相直线感应电机为研究对象,考虑动态边端效应,详细分析初级运动速度、次级漏感对感应涡流变化和等效激磁电感下降的影响规律。通过涡流损耗计算推导次级等效电阻表达式并利用广义Clack变换解耦,建立六相直线感应电机考虑动态边端效应的数学模型。基于该模型提出一种动态边端效应修正系数在线计算的矢量控制策略,该策略通过直接修正滑差频率和转矩电流,能够补偿动态边端效应造成的推力下降,提高系统的控制精度。通过搭建仿真模型和实验平台,验证了所述理论及所采用控制策略的正确性。
Aiming at the problem of time-varying parameters and thrust drop caused by dynamic edge effect of linear motor,the research object is short primary bilateral six phase linear induction motor,considering dynamic end effect. The effect of velocity and secondary leakage inductance on induced eddy current and magnetizing inductance was analyzed in detail. Through the calculation of eddy current losses,the secondary equivalent resistance was derived and the mathematical model of six phase induction linear motor considering the dynamic end effect was established by using the generalized Clack transform. Based on the model,a vector control strategy for on-line calculation of dynamic edge effect correction coefficients was proposed,which achieves compensation for thrust drop caused by the dynamic end effect by correcting the current of q-axis and slip frequency directly. The strategy also improves the control accuracy of the system. The simulation model and the experimental platform were built to verify the correctness of the theory and the control strategy.
Aiming at the problem of time-varying parameters and thrust drop caused by dynamic edge effect of linear motor,the research object is short primary bilateral six phase linear induction motor,considering dynamic end effect. The effect of velocity and secondary leakage inductance on induced eddy current and magnetizing inductance was analyzed in detail. Through the calculation of eddy current losses,the secondary equivalent resistance was derived and the mathematical model of six phase induction linear motor considering the dynamic end effect was established by using the generalized Clack transform. Based on the model,a vector control strategy for on-line calculation of dynamic edge effect correction coefficients was proposed,which achieves compensation for thrust drop caused by the dynamic end effect by correcting the current of q-axis and slip frequency directly. The strategy also improves the control accuracy of the system. The simulation model and the experimental platform were built to verify the correctness of the theory and the control strategy.
引文
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[11]ALONGE F,CIRRINCIONE M,PUCCI M,et al.Input-output feedback linearization control with on-line Mars-based inductor resistance estimation of linear induction motors including the dynamic end effects[J].IEEE Transactions on Industry Applications,2016,52(1):254.
[12]LIAN K Y,HUNG C Y,CHIU C S,et al.Robust adaptive control of linear induction motors with unknown end-effect and secondary resistance[J].IEEE Transactions on Energy Conversion,2008,23(2):412.
[13]WORONOWICZ K,SAFAEE A.A novel linear induction motor equivalent-circuit with optimized end effect model[J].IEEE Canadian Journal of Electrical and Computer Engineering,2014,37(1):36.
[14]AMIRI E,MENDRELA E A.A novel circuit model of linear induction motors considering static and dynamic end effect[J].IEEE Transactions on Magnetics,2014,50(3):409.
[15]KANG G,NAM K.Field-oriented control scheme for linear induction motor with the end effect[J].IEEE Proceedings on Electric Power Applications,2005,152(6):1565.
[16]CHE H,LEVI E,JONES M,et al.Current control methods for an asymmetrical six-phase induction motor drive[J].IEEE Transactions on Power Electronics,2014,29(1):401.
[17]ACCETTA A,PUCCI M,LIDOZZI A,et al.Compensation of static end effects in linear induction motor drives by frequency-adaptive synchronous controllers[C]//International Conference on Electrical Machines,September 2-5,2014,Berlin,Germany.2014:716-723.
[2]龙遐令.直线感应电动机的理论和电磁设计方法[M].北京:科学出版社,2006:25.
[3]聂世雄,付立军,许金,等.分段供电直线感应电机东子不对称模型及参数计算[J].电机与控制学报,2017,21(2):11.NIE Shixiong,FU Lijun,XU Jin,et al.Asymmetrical model and parameter calculation of segment-powered linear inductive motor mover[J].Electric Machines and Control,2017,21(2):11.
[4]SHIRI A.Electromagnetic force analysis in linear induction motors,considering end effect[C]//IEEE 7th Power Electronics and Drive Systems Technologies Conference,February 16-18,2016,Tehran,Iran.2016:105-110.
[5]徐伟,李耀华,孙广生,等.短初级单边直线感应电机新型等效电路[J].中国电机工程学报,2009,26(9):80.XU Wei,LI Yaohua,SUN Guangsheng,et al.New equivalent circuits of short primary single-sided linear induction motor[J].Proceedings of the CSEE,2009,26(9):80.
[6]XU Wei,ZHU Jianguo,ZHANG Yongchang,et al.Equivalent circuits for single-sided linear induction motors[J].IEEE Transactions on Industry Applications,2010,(46):2410.
[7]DUNCAN J.Linear induction motor-equivalent circuit model[J].IEE Proceedings B-Electric Power Applications,1983,130(1):51.
[8]SUNG J H,NAM K.A new approach to vector control for a linear induction motor considering end effect[C]//34th IAS Annual Meeting on Industry Applications Conference,October 3-7,1999,Phoenix,USA.1999:2284-2289.
[9]任晋旗,李耀华,王珂.动态边端效应补偿的直线感应电机磁场定向控制[J].电工技术学报,2007,22(12):61.REN Jinqi,LI Yaohua,WANG Ke.Indirect field oriented control of linear induction with end effect compensation[J].Transactions of China Electrotechnical Society,2007,22(12):61.
[10]KARIMI H,VAEZ-ZADEH S,SALMASI F R,et al.Combine vector and direct thrust control of linear induction motors with end effect compensation[J].IEEE Transactions on Energy Conversion,2016,31(1):196.
[11]ALONGE F,CIRRINCIONE M,PUCCI M,et al.Input-output feedback linearization control with on-line Mars-based inductor resistance estimation of linear induction motors including the dynamic end effects[J].IEEE Transactions on Industry Applications,2016,52(1):254.
[12]LIAN K Y,HUNG C Y,CHIU C S,et al.Robust adaptive control of linear induction motors with unknown end-effect and secondary resistance[J].IEEE Transactions on Energy Conversion,2008,23(2):412.
[13]WORONOWICZ K,SAFAEE A.A novel linear induction motor equivalent-circuit with optimized end effect model[J].IEEE Canadian Journal of Electrical and Computer Engineering,2014,37(1):36.
[14]AMIRI E,MENDRELA E A.A novel circuit model of linear induction motors considering static and dynamic end effect[J].IEEE Transactions on Magnetics,2014,50(3):409.
[15]KANG G,NAM K.Field-oriented control scheme for linear induction motor with the end effect[J].IEEE Proceedings on Electric Power Applications,2005,152(6):1565.
[16]CHE H,LEVI E,JONES M,et al.Current control methods for an asymmetrical six-phase induction motor drive[J].IEEE Transactions on Power Electronics,2014,29(1):401.
[17]ACCETTA A,PUCCI M,LIDOZZI A,et al.Compensation of static end effects in linear induction motor drives by frequency-adaptive synchronous controllers[C]//International Conference on Electrical Machines,September 2-5,2014,Berlin,Germany.2014:716-723.