Optimum of Electromagnetic Active Suspension Actuator Using Multi-objective Particle Swarm Optimization Algorithm

doi:10.3901/JME.2019.19.154

Abstract

Abstract: For aiming at reducing the influence of the thrust ripple in electromagnetic active suspension, magnetic field theoretical model of the actuator is established, total harmonic distortion (THD) is taken as the evaluation to actuator EMF, harmonic components of EMF which effective to the electromagnetic force are analyzed. On this basis, a suspension dynamics model considering suspension electromagnetic force fluctuation is established, and the vehicle dynamic response characteristics are analyzed. And then, taking the maximum EMF amplitude and the minimum THD as optimization objective, the actuator structure parameters are optimized with intelligent multi-objectives particle swarm optimization. The best Pareto optimal solution is selected based on the fuzzy set theory. After optimization, the ripple of electromagnetic force is reduced by 53.8%, and the value of electromagnetic force is increased by 8.5%, the influence of the thrust ripple in electromagnetic active suspension system is basically eliminated. Finally, actuator prototype is experimented on test bench. The results show that there are a series of harmonics including the 3rd, 2rd, 4rd and 5rd in the EMF wave, the THD is 5.6%, and the ripple of electromagnetic force is 7.8 N. Optimization results are verified by experiment.

Key words: electromagnetic active suspension, linear actuator, electromagnetic force fluctuation, multi-objective optimization, particle swarm algorithm

CLC Number:

TH122
U463

YANG Chao, LI Yinong, ZHENG Ling, HU Yiming. Optimum of Electromagnetic Active Suspension Actuator Using Multi-objective Particle Swarm Optimization Algorithm[J]. Journal of Mechanical Engineering, 2019, 55(19): 154-166.

References

[1] MURATTA S. Innovation by in-wheel-motor drive unit[J]. Vehicle System Dynamics,2012,50(6):807-830.
[2] WANG Yanyang,LI Yinong,SUN Wei,et al. Effect of the unbalanced vertical force of a switched reluctance motor on the stability and the comfort of an in-wheel motor electric vehicle[J]. Proc IMechE Part D:Journal of Automobile Engineering,2015,229(12):1569-1584.
[3] KANGHYU N,FUJIMOTO H,HORI Y. Lateral stability control of in-wheel-motor-driven electric vehicles based on sideslip angle estimation using lateral tire force sensors[J]. IEEE Transactions on Vehicular Technology,2012,61(5):1972-1985.
[4] THUL A,EGGERS D,RIEMER B,et al. Active suspension system with integrated electrical tubular linear motor:Design,control strategy and validation[J]. Archives of Electrical Engineering,2016,64(4):605-616.
[5] WANG Wei,SONG Yulin,XUE Yanbing,et al. An optimal vibration control strategy for a vehicle's active suspension based on improved cultural algorithm[J]. Applied Soft Computing,2015,28:167-174.
[6] 裴金顺,李以农,王艳阳,等. 采用电磁直线电机的主动悬架控制系统的设计与能量分析[J]. 汽车工程,2014,36(11):1386-1391. PEI Jinshun,LI Yinong,WANG Yanyang,et al. Design and energy analysis of an active suspension control system with electromagnetic linear motor[J]. Automotive Engineering,2014,36(11):1386-1391.
[7] ZHANG Guogang,CAO Jianyong,YU Fan. Design of active and energy-regenerative controllers for dc motor-based suspension[J]. Mechatronics,2012,22(8):1124-1134.
[8] HUANG Bo,HSIEH Chenyu,GOLNARAGHI F,et al. Development and optimization of an energy-regenerative suspension system under stochastic road excitation[J]. Journal of Sound and Vibration,2015,357:16-34.
[9] 邓兆祥,来飞. 车辆主动悬架用电磁直线作动器的研究[J]. 机械工程学报,2011,47(14):121-128. DENG Zhaoxiang,LAI Fei. Electromagnetic linear actuator for vehicle active suspension[J]. Journal of Mechanical Engineering,2011,47(14):121-128.
[10] LIN Jiongkang,CHENG K W E,ZHANG Zhu,et a1. Active suspension system based on linear switched reluctance actuator and control schemes[J]. IEEE Transactions on Vehicular Technology,2013,62(2):562-572.
[11] 杨超,李以农,钟银辉,等. 一种分数槽结构的悬架直线作动器及性能分析[J]. 上海交通大学学报,2016,50(6):837-843. YANG Chao,LI Yinong,ZHONG Yinhui,et al. A tubular permanent magnet linear actuator based on fractional slot and performance analysis[J]. Journal of Shanghai Jiaotong University,2016,50(6):837-843.
[12] BART L J G,JEROEN L G J,JOHANNES J H P,et al. Design aspects of an active electromagnetic suspension system for automotive applications[J]. IEEE Transactions on Industry Applications,2010,45(5):1589-1597.
[13] WANG Qian,WANG Jianbin. Assessment of cogging-force-reduction techniques applied to fractional-slot linear permanent magnet motors equipped with non-overlapping windings[J]. LET Electric Power Applications,2016,10(8):697-705.
[14] WANG Jianbin,DAVID H. Tubular modular permanent-magnet machines equipped with quasi-halbach magnetized magnets-part i:Magnetic field distribution,emf,and thrust force[J]. IEEE Transactions on Magnetics,2005,41(9):2470-2478.
[15] 谭建成. 永磁无刷直流电机技术[M]. 北京:机械工业出版社,2011. TAN Jiancheng. Technology of permanent magnet brushless DC motor[M]. Beijing:China Machine Press,2011.
[16] WANG Jianbin,GERAINT W J,DAVID H. A general framework for the analysis and design of tubular liear permanent magnet machines[J]. IEEE Transactions on Magnetics,1999,35(3):1986-2000.
[17] ABIDO M A. Multiobjective evolutionary algorithms for electric power dispatch problem[J]. IEEE Transactions on Evolutionary Computation,2006,10(3):315-329.