Abstract：Analytical expressions of the normal component and the thrust component of the end force are obtained by integrating the virtual displacement principle,which is described by the flux distribution on the longitudinal end face of the rotor.Through the analysis of the Fourier series,the concave profile end tooth structure considering the reverse phase compensation principle is put forward.The structure can eliminate the odd harmonic wave of the normal and thrust force fluctuations.It can also overcome the shortcomings of the traditional methods which lead to the motor’s longitudinal pitching movement trend by optimizing rotor length to reduce the thrust fluctuation.The rotor’s lateral pitching movement trend can be eliminated by the structure too.In the end,A 12 slots 11 poles PMLM with weaker slot effect is taken for example.The finite element simulation and experiment are employed,and the results show that the method can reduce the normal and thrust ripples of the end effect force.
彭兵, 刘铁法, 张囡, 夏加宽, 荆汝宝, 孙宜标. 凹型端齿削弱永磁直线电机端部力波动方法[J]. 电工技术学报, 2015, 30(7): 119-124.
Peng Bing, Liu Tiefa, Zhang Nan, Xia Jiakuan, Jing Rubao, Sun Yibiao. A Method for Reducing the End Effect Force Fluctuation by the Concave Profile End-tooth in Permanent Magnet Linear Motors. Transactions of China Electrotechnical Society, 2015, 30(7): 119-124.
[1] 李小平,李志科,陈学东,等.纳米精度运动台电机伺服参数校准方法研究[J].中国电机工程学报,2009,29(21):87-92. Li Xiaoping,Li Zhike,Chen Xuedong,et al.Calibration method for motor servo parameters of nano-precision motion stage[J].Proceedings of the CSEE,2009,29(21):87-92. [2] Young-Man Choi,Dae-Gab Gweon.A high-precision dual-servo stage using halbach linear active magnetic bearings[J].IEEE/ASME Transactions on Mechatronics,2011,16(5):925-931. [3] Owen R B,Maggiore M,Apkarian J.A high-precision,magnetically levitated positioning stage:toward contactless actuation for industrial manufacturing[J].IEEE Control Systems Magazine,2006,26(3):82-95. [4] Li Hong,Zhou Yunfei,Shi Yangchun.Motion control for wafer stage of 0.1 μm lithography[C].IEEE International Conference on Integration Technology,Shenzhen,China,2007:338-342. [5] Zhu Z Q,Xia Z P,Howe D,et al.Reduction of cogging force in slotless linear permanent magnet motors[J].IEE Proceedings Electric Power Applications,1997,144(4):277-282. [6] Zhu Yu-wu,Lee Sang-Gun,Chung Koon-Seok,et al.Investigation of auxiliary poles design criteria on reduction of end effect of detent force for PMLSM[J].IEEE Transactions on Magnetics,2009,45(6):2863-2866. [7] 徐月同,傅建中,陈子辰.永磁直线同步电机推力波动优化及实验研究[J].中国电机工程学报,2005,25(12):122-126. Xu Yuetong,Fu Jianzhong,Chen Zichen.Thrust ripple optimization and experiment for PMLSM[J].Proceedings of the CSEE,2005,25(12):122-126. [8] 潘开林,傅建中,陈子辰.永磁直线同步电机的磁阻力分析及其最小化研究[J].中国电机工程学报,2004,24(4):112-115. Pan Kailin,Fu Jianzhong,Chen Zichen.Detent force analysis and reduction of PMLSM[J].Proceedings of the CSEE,2004,24(4):112-115. [9] 王昊,张之敬,刘成颖.永磁直线同步电机定位力分析与实验研究[J].中国电机工程学报,2010,30(15):58-63. Wang Hao,Zhang Zhijing,Liu Chengying.Detent force analysis and experiment for permanent magnet linear synchronous motor[J].Proceedings of the CSEE,2010,30(15):58-63. [10]Xu Xiaozhuo,Wang Xudong,Si Jikai,et al.Detent force analysis and optimization for vertical permanent-magnet linear synchronous motor with fractional-slot windings[J].Journal of Computers,2013,8(3):756-763. [11]卢琴芬,张新敏,黄立人,等.错位式双边型永磁直线同步电机优化设计[J].电工技术学报,2013,28(11):35-41. Lu Qinfen,Zhang Xinmin,Huang Liren,et al.Optimal design of shifted type double-sided permanent magnet linear synchronous motors[J].Transactions of China Electrotechnical Society,2013,28(11):35-41. [12]陆华才,江明,郭兴众,等.永磁直线同步电机推力波动约束[J].电工技术学报,2012,27(3):128-132. Lu Huacai,Jiang Ming,Guo Xingzhong,et al.Thrust ripple suppression for permanent magnet linear synchronous motor[J].Transactions of China Electrotechnical Society,2012,27(3):128-132. [13]Profumo F,Tenconi A,Gianolio G.Design and realization of a PM linear synchronous motor with a very high thrust/normal force ratio[C].Industry Applications Conference,Chicago,USA,2001:1984-1988. [14]Overboom T T,Smeets J P C,Jansen J W,et al.Semianalytical calculation of the torque in a linear permanent-magnet motor with finite yoke length[J].IEEE Transactions on Magnetics,2012,48(11):3575-3578. [15]沈丽.高精度永磁直线伺服电机法向力波动分析与抑制方法研究[D].沈阳:沈阳工业大学,2014.
2015, Vol. 30 
