Step skewing method for thrust ripple reduction of PMLSM
CAI Jiong-jiong1,2, LU Qin-fen1, LIU Xiao1, YE Yun-yue1
1.College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China; 2. Department of Electrical and
Electronic Engineering, Zhejiang Institute of Mechanical and Electrical Engineering, Hangzhou 310053, China
The characteristics of thrust ripples of permanent magnet linear synchronous motor (PMLSM) were analyzed to effectively reduce thrust ripples, optimize positioning accuracy, thrust accuracy and speed accuracy. The results show that after fractional slot design and armature length optimization, the 2nd, 4th and 6th harmonics, not the 12th harmonic of cogging force, become the main components of the thrust ripples. After the study of the advantage of step skewing, the skewing coefficients of harmonics and the weakening coefficients of electromagnetic thrusts were investigated. Then the best skewing angle was discussed. It is concluded that the skewing angle selection principles are different for rotary and linear motors because of different ripple origins and performances. At last the analysis method for asymmetric skewing model with a two-dimensional finite element method(FEM)was introduced, with which the skewing coefficients with different step numbers and skewing angles were computed. The resulting curves validate the theories for step selection and skewing angle optimization. It shows that PMLSM with 2-step magnets of 30 degree skew angle can reduce the thrust ripple to 61.3% while keeping the output thrust at 96.8%.
[2] 刘晓,叶云岳,郑灼,等.空心式永磁直线伺服电机气隙磁场及推力分析[J].浙江大学学报:工学版,2010,44(3): 533-538.
LIU Xiao, YE Yunyue, ZHENG Zhuo, et al. Magnetic field and thrust analysis of air cored permanent magnet linear servo motor [J]. Journal of Zhejiang University :Engineering Science, 2010, 44(3): 533-538.
[3] ZHU Y W, LEE S G. Investigation of auxiliary poles design criteria on reduction of end effect of detent Thrust force for PMLSM [J]. IEEE Transactions on Magnetics, 2009, 45(6): 2863-2866.
[4] INOUE M, SATO K. An approach to a suitable stator length for minimizing the detent Thrust force of permanent magnet linear synchronous motors[J]. IEEE Transactions on Magnetics, 2000, 36(1): 1890-1893.
[5] 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): 122-127.
XU Yuetong, FU Jianzhong, CHEN Zichen.Thrust ripple optimization and experiment for pmlsm[J].Proceedings of the Chinese Society for Electrical Engineering,2005,25(12): 122-127.
[6] 李庆雷,王先逵.永磁同步直线电机推力波动分析及改善措施[J].清华大学学报:自然科学版,2000,40(5): 33-36.
LI Qinglei,WANG Xiankui.Thrust fluctuation analysis and reduction of PMLSM[J].Journal of Tsinghua University :Sci&Tech,2000,40(5): 33-36.
[7] ZHU Z Q, XIA Z P, HOWER D, et al. Reduction of cogging Thrust force in slotless linear permanent magnet motors [J]. IEE ProceedingsElectric Power Applications, 1997, 144(4): 277-282.
[8] ISLAM R, HUSAIN I. Permanent magnet synchronous motor magnet designs with skewing for torque ripple and cogging torque reduction [J]. IEEE Transactions on Industry Applications, 2009, 45(1): 152-160.
[9] ZHU Li, JIANG S Z, ZHU Z Q. Analytical methods for minimizing cogging torque in permanentmagnet machines [J]. IEEE Transactions on Magnetics, 2009, 45(4): 2023-2031.
[10] ALHAMADI M A, DEMERADSH N A. Modeling of effects of skewing of rotor mounted permanent magnets on the performance of brushless dc motors [J]. IEEE Transactions on Energy Conversion, 1991, 6(4): 721-729.
[11] JIMPO W and DENNIS K L. A fast lumped parameter model for magnet skew in a motor [J]. IEEE Transactions on Magnetics, 1999, 35(5): 3709-3711.
[12] 陈世元,黄士鹏.交流电机的绕组理论[M].北京:中国电力出版社,2007: 27-58.