Transportation Systems and TechnologyTransportation Systems and TechnologyСетевой электронный журнал "Транспортные системы и технологии"2413-9203Eco-Vector1017510.17816/transsyst20184230-44ReviewОбзорыResearch ArticleA method of thrust ripple suppression for long stator linear synchronous motorhttps://orcid.org/0000-0002-3006-1301MuSiyuan
China

Bachelor of science, PhD candidate

siyuanmu@tongji.edu.cnhttps://orcid.org/0000-0003-4875-1818KangJinsong
China

PhD, professor

kjs@tongji.edu.cnhttps://orcid.org/0000-0003-3123-3942WangShuo
China

Master of science, PhD candidate

1988wangshuo@tongji.edu.cnhttps://orcid.org/0000-0002-0520-389XLiuYusong
China

Bachelor of science, PhD candidate

liuyusong@tongji.edu.cnHeCuiwei
China

Master of science, Master

hcw1964@163.comTongji University130920184230441309201813092018Copyright ©; 2018, Mu S., Kang J., Wang S., Liu Y., He C.Copyright ©; 2018, Mu S., Kang J., Wang S., Liu Y., He C.2018Mu S., Kang J., Wang S., Liu Y., He C.Mu S., Kang J., Wang S., Liu Y., He C.http://creativecommons.org/licenses/by-nc-nd/4.0https://journals.eco-vector.com/transsyst/article/view/10175

With the advantages of high speed, low noise and high efficiency, the electromagnetic suspension (EMS) type maglev train has a good prospect in railway transportation. It is based on the long stator linear synchronous motor (LSLSM). However, due to cogging effect, end effect and the harmonics in the stator current and flux density distribution around the air-gap, the thrust generated by the LSLSM fluctuates. The thrust ripple brings noise, drop of control accuracy, even causes the resonance of train. In this paper, the thrust ripple produced by the cogging effect and flux linkage harmonics is analyzed. Then a method of harmonic current injection is proposed to compensate cogging force and reduce the thrust ripple, without influence the decoupling control of traction and suspension system. The injected current harmonics are controlled under multiple rotating reference frames independently. Finally, based on voltage equations of harmonics, the decoupled harmonic current controllers with harmonic voltage feedforward are designed, which improve the performance of current harmonics response and thrust ripple suppression. Simulation results on Simulink verify the effectiveness of proposed thrust ripple suppression method for LSLSM.

maglevlong stator linear synchronous motorthrust ripplecogging forceharmonic current injectionmultiple rotating reference framesvoltage feedforwardThis work was supported by the National Key Technology R&D Program of China (2016YFB1200602-02).Lu G, Cheng H, He W, Zhang J, Pan G. Harmonic analysis of the PWM inverter fed LSM drive system. In the TRANSRAPID Shanghai. Proceedings of the 6th International Conference in Advances in Power System Control, Operation and Management, 2003. p. 547–557. doi: 10.1049/cp:20030646Wang M, Li L, Yang R. Overview of thrust ripple suppression technique for linear motors. Chinese Journal of Electrical Engineering. 2017;2(1):77-84. Available at: https://ieeexplore.ieee.org/document/7933117/. doi: 10.23919/CJEE.2016.7933117Ma M, Li L, Zhang J, Yu J, Zhang H, Jin Y. Analytical Methods for Minimizing Detent Force in Long-Stator PM Linear Motor Including Longitudinal End Effects. IEEE Transactions on Magnetics, 2015;51(11):1-4. doi: 10.1109/intmag.2015.7156725Zhu YW, Lee SG, Chung KS, Cho YH. Investigation of Auxiliary Poles Design Criteria on Reduction of End Effect of Detent Force for PMLSM. IEEE Transactions on Magnetics. 2009;45(6):2863-2866. doi: 10.1109/tmag.2009.2018778Yang G, Wang K, Zhang Z. Study on electromagnetic force ripple reduction of long stator linear synchronous motor based on unequal pole pitch. Proceedings of the International Conference on Electrical Machines and Systems. 2017. p. 1-4. doi: 10.1109/icems.2017.8055994.Hwang SH, Kim JM. Dead Time Compensation Method for Voltage-Fed PWM Inverter. IEEE Transactions on Energy Conversion, 2010;25(1):1-10. doi: 10.1109/tec.2009.2031811.Liao Y, Zhen S, LIU R, Yao J. Torque Ripple Suppression of Permanent Magnet Synchronous Motor by the Harmonic Injection. Proceeding of the CSEE, 2011;31(21):119-127. Available at: http://www.pcsee.org/CN/Y2011/V31/I21/119#.Zhao S, Tan KK. Adaptive feedforward compensation of force ripples in linear motors. Control Engineering Practice, 2005;13(9):1081-1092. doi: 10.1016/j.conengprac.2004.11.004Cho K, Kim J, Park H, Choi SB. Periodic adaptive disturbance observer for a Permanent Magnet Linear Synchronous Motor. Proceedings of the 51st IEEE Conference on Decision and Control (CDC), 2012. p. 4684–4689. doi: 10.1109/cdc.2012.6426591.Chen SL, Hsieh TH. Repetitive control design and implementation for linear motor machine tool. International Journal of Machine Tools & Manufacture, 2007;47(12):1807-1816. doi: 10.1016/j.ijmachtools.2007.04.009Yan Y, Li W, Deng W, Zhang G, Xia C. Torque ripple minimization of PMSM using PI type iterative learning control. Proceedings of the IECON 2014 40th Annual Conference of the IEEE; 2014; IEEE; 2015. p. 925–931. doi: 10.1109/iecon.2014.7048612Xu S, Zhao W, Ji J, Du Y, Zhang D, Liu G. Thrust ripple reduction of linear flux-switching PM motor using harmonic injected current. Proceedings of the International Conference on Electrical Machines and Systems; IEEE; 2014. p. 1886–1889. doi: 10.1109/icems.2013.6713220Guan B, Zhao Y, Yi R. Torque Ripple Minimization in Interior PM Machines using FEM and Multiple Reference Frames. Proceedings of the Conference on Industrial Electronics and Applications; 2006; IEEE;2006. p. 1–6. doi: 10.1109/iciea.2006.257208Shang, Kang Jinsong, Chen Xueping, Zhou Yingkun. A Harmonic Voltage and Current Coupling Permanent Magnet Synchronous Motor Model and Feedforward Control. Transactions of China Electrotechnical Society, 2017;32(18):131-142. Available at: http://www.ces-transaction.com//CN/Y2017/V32/I18/131. doi: 10.19595/j.cnki.1000-6753.tces.161956Ge Q, Li Y, Kong L. A comparative study of FOC for long stator linear synchronous motor control. Proceedings of the International Conference on Electrical Machines and Systems (ICEMS); 2007; IEEE; 2007. p. 398–402. Available at: https://ieeexplore.ieee.org/abstract/document/4411996/.Wang X, Liu H, Zhang S. High performance propulsion control of magnetic levitation vehicle long stator linear synchronous motor. International Conference on Electrical Machines and Systems; 2011; IEEE, 2011. p. 1–6. doi: 10.1109/icems.2011.6073798.