Abstract:For ironless moving-permanent-magnet long-stroke linear motor,the mover length of Halbach array is less than the length of the stator coil along the direction of movement. In order to simplify the current commutation and improve the utilization of the magnetic field,the range of energized coils is greater than the permanent magnet array magnetic field range. Then,the number of coils energized at the same time is not changed,so it needs to take advantage of the ends of the magnetic field of permanent magnet arrays. Due to the distortion of the end magnetic field generating,thrust fluctuation generated by the end-effect will affect the accuracy of the motor sport. To do this,it needs to establish an accurate model of Halbach permanent magnet array that contains the end-effect. With ironless moving-permanent-magnet synchronous linear motor for the study,considering the end- effect,it deduced the analytical model of Halbach array complete magnetic field with the pseudo- periodic by the modified Fourier series,and established the motor thrust analytical model using Maxwell stress tensor. Finally,to verify the accuracy and effectiveness of the proposed method,it compared the analytical solution with magnetic field FEM simulation and thrust experiment test.
宋玉晶,张鸣,朱煜. Halbach永磁阵列磁场解析求解及推力建模[J]. 电工技术学报, 2014, 29(11): 61-67.
Song Yujing,Zhang Ming,Zhu Yu. Modeling of Halbach Array Magnetic Field and Motor Thrust. Transactions of China Electrotechnical Society, 2014, 29(11): 61-67.
[1] 周赣,黄学良,蒋浩,等. Halbach 型磁悬浮平面电动机电流控制方法[J]. 电工技术学报,2010,25(5): 69-75. Zhou Gan,Huang Xueliang,Jiang Hao,et al. Current- controlled method of Halbach magnetic levitation planar motor[J]. Transactions of China Electrotechnical Society,2010(5): 69-75. [2] 张剑,肖湘宁,高本锋,等. 专用于抑制次同步振荡的次同步电压调制策略[J]. 电力系统保护与控制,2013,41(9): 40-46. Zhang Jian,Xiao Xiangning,Gao Benfeng,et al. Subsynchronous voltage modulation strategy exclusively for mitigating subsynchronous oscillation[J]. Power System Protection and Control,2013,41(9): 40-46. [3] 陆秋瑜,徐飞,胡伟,等. 考虑机网协调的新型发电机失磁保护方案研究[J]. 电力系统保护与控制,2013,41(9): 1-6. Lu Qiuyu,Xu Fei,Hu Wei,et al. New loss of excitation protection scheme based on coordinated optimization between generator and grid[J]. Power System Protection and Control,2013,41(9): 1-6. [4] 徐衍会. 基于可观测与可控度的直流输电次同步振荡阻尼控制研究[J]. 电力系统保护与控制,2013,41(9): 21-26. Xu Yanhui. Research on HVDC subsynchronous dam- ping control based on observability and controllability degree[J]. Power System Protection and Control,2013,41(9): 21-26. [5] Lee M G,Lee S Q,Gweon D G. Analysis of Halbach magnet array and its application to linear motor[J]. Mechatronics,2004,14(1): 115-128. [6] Jansen J W. Magnetically levitated planar actuator with moving magnets: Electromechanical analysis and design[D]. Eindhoven: The Netherlands: Eindhoven University of Technology,2007. [7] Rovers J M M,Jansen J W,Lomonova E A. Novel force ripple eduction method for a moving-magnet linear synchronous motor with a segmented stator[C]. IEEE International Conference on Electrical Machines and Systems,2008: 2942-2947. [8] Kim W J. High-precision planar magnetic levitation [D]. Cambridge: Massachusetts Institute Technology,1997. [9] 黄学良,张前,周赣. 一种无铁 Halbach 型永磁直线电机[J]. 电工技术学报,2010,25(6): 1-6. Huang Xueliang,Zhang Qian,Zhou Gan. Halbach permanent magnet ironless linear motors[J]. Transac- tions of China Electrotechnical Society,2010 25(6): 1-6. [10] Lierop C M M van. Magnetically levitated planar actuator with moving magnets: electromechanical analysis and design[D]. Eindhoven: The Netherlands: Eindhoven University of Technology,2008. [11] Taniguchi T,Eciolaza L,Sugeno M. Look-up-table controller design for nonlinear servo systems with piecewise bilinear models[C]. IEEE International Conference on Fuzzy Systems,2013. [12] Jeroen de Boeij. Multi-level contactless motion system [D]. Eindhoven,The Netherlands: Eindhoven University of Technology,2009. [13] Achterberg J. Model based commutation containing edge coils for a moving magnet planar actuator[J]. IEEE Transactions on Industry Applications,2010,130: 1147-1152. [14] Jin P. General analytical method for magnetic field analysis of Halbach magnet arrays based on magnetic scalar potential[J]. Journal of Magnetics,2013,18(2): 95-104. [15] Nguyen V H. A multi-axis compact positioner with a 6-coil platen moving over a superimposed Halbach magnet matrix[J]. 2013. [16] Ham C. Study of a Hybrid magnet array for an electrodynamic maglev control[J]. Journal of Magnetics,2013,18(3): 370-374. [17] Furlani E P. Permanent magnet and electromechanical devices[electronic resource]: materials,analysis,and applications[J/OL]. Access Online via Elsevier,2001. [18] Liu Y. Optimization of voice coil motor to enhance dynamic response based on an improved magnetic equivalent circuit model[J]. IEEE Transactions on Magnetics,2011,47(9): 2247-2251. [19] Amrhein M,Krein P T. Magnetic equivalent circuit simulations of electrical machines for design purposes [J]. IEEE Symposium in Electric Ship Technologies,2007: [20] 杜怿,程明,邹国棠. 初级永磁型游标直线电机设计与静态特性分析[J]. 电工技术学报,2013,28(11): 22-30. Du Yi,Cheng Ming,Chau K T. Design and analysis of a new linear primary permanent magnet vernier machine[J]. Transactions of China Electrotechnical Society,2013,27(11): 22-30. [21] Freschi F,Repetto M. Natural choice of integration surface for Maxwell stress tensor computation[J]. IEEE Transactions on Magnetics,2013,49(5): 1717.