Calculation of Electromagnetic Force of Plate Type Null Double Side Permanent Magnet Electrodynamic Suspension
Chen Yin1, 2, Zhang Kunlun2
1. Chinese China Railway Eryuan engineering Refco Group Ltd Chengdu 610031 China; 2. Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle Ministry of Education Chengdu 610031 China
Abstract:In view of the existing weaknesses, a new suspension system, composed of conducting sheet and double Halbach array, was proposed in this paper. Compared with single Halbach array system, this device could create least drag force, and it is more suitable for urban transportation. Analytic and finite element methods were used to calculate the forces created by this device. First, the differential equations of magnetic vector potentials were built, and accordingly the distribution of eddy current can be deduced. Second, in order to get the expression of forces, the relationship between magnetic field and current was studied. 2D and 3D finite element models were built. The magnetic forces, field and eddy current in different velocities were calculated. The relative error between analytic method and 2D FEM is 1.7%. At last, compared with single Halbach suspension system, the levitation-to-drag ratio highly increased in this model.
陈殷, 张昆仑. 板式双边永磁电动悬浮电磁力计算[J]. 电工技术学报, 2016, 31(24): 150-156.
Chen Yin, Zhang Kunlun. Calculation of Electromagnetic Force of Plate Type Null Double Side Permanent Magnet Electrodynamic Suspension. Transactions of China Electrotechnical Society, 2016, 31(24): 150-156.
[1] Kratz R, Post R F. A current electro-dynamic levitation system[J]. IEEE Transctions on Applied Superconductivity, 2002, 12(1): 930-932. [2] 武瑛, 严陆光, 徐善纲. Inductrack磁浮技术及其在磁浮列车系统中的应用[J]. 电气应用, 2006, 25(1): 1-3. Wu Ying, Yan Luguang, Xu Shangang. Inductrack technology and its application in maglev transport[J]. Electric Application, 2006, 25(1): 1-3. [3] Jang S M, Lee S H, Jeong S S. Characteristics analysis of eddy-current brake system using the linear Halbach array[J]. IEEE Transactions on Magnetics, 2002, 38(9): 2994-2996. [4] Jang S M, Kwon J K, Lee S H, et al. Characteristic analysis of linear eddy-current brakes[C]//ICEMS 2003 Sixth International Conference on Electrical Machines and Systems, Beijing, 2003: 177-179. [5] 赵玫, 邹继斌, 王骞, 等. 圆筒型横向磁通永磁直线电机的基础研究[J]. 电工技术学报, 2014, 29(增1): 80-89. Zhao Mei, Zou Jibin, Wang Qian, et al. Fundamental research of tubular transverse flux permanent magnet linear machine[J]. Transactions of China Electro- technical Society, 2014, 29(S1): 80-89. [6] 汤平华, 漆亚梅, 黄国辉, 等. 定子无铁心飞轮电机绕组涡流损耗分析[J]. 电工技术学报, 2010, 25(3): 27-32. Tang Pinghua, Qi Yamei, Huang Guohui, et al. Eddy current loss analysis of ironless flywheel electric machine’s winding[J]. Transactions of China Electro- technical Society, 2010, 25(3): 27-32. [7] 黄宇淇, 方宾义, 孙锦枫. 飞轮储能系统应用于微网的仿真研究[J]. 电力系统保护与控制, 2011, 39(9): 83-113. Huang Yuqi, Fang Bingyi, Sun Jingfeng. Simulation research on the microgrid with flywheel energy storage system[J]. Power System Protection and Control, 2011, 39(9): 83-113. [8] 李春生, 杜玉梅, 夏平畴, 等. 直线型Halbach磁体和导体板构成的电动式磁悬浮系统的分析及实验[J]. 电工技术学报, 2009, 24(1): 18-22. Li Chunsheng, Du Yumei, Xia Pingchou, et al. Analysis and experimental testing of EDS maglev with linear Halbach and conducting sheet[J]. Transa- ctions of China Electrotechnical Society, 2009, 24(1): 18-22. [9] 王江波, 李耀华, 严陆光. 直线Halbach磁体用于磁浮列车涡流制动的研究[J]. 电气传动, 2010, 40(5): 8-11. Wang Jiangbo, Li Yaohua, Yan Luguang. Study on applying the linear Halbach array to eddy current brake system for maglev[J]. Electric Drive, 2010, 40(5): 8-11. [10] Post R F, Ryutov D D. The inductrack: a simpler approach to magnetic levitation[J]. IEEE Transa- ctions on Applied Superconductivity, 2000, 10(1): 901-904. [11] Murai T, Hasegawa H. Electromagnetic analysis of inductrack magnetic levitation[J]. Electrical Engin- eering in Japan, 2003, 142(1): 67-74. [12] 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]. Transa- ctions of China Electrotechnical Society, 2010, 25(6): 1-6. [13] 孟鹏, 邱晓燕, 林伟, 等. 直驱式永磁同步风力发电动态特性的研究[J]. 电力系统保护与控制, 2012, 40(14): 38-43. Meng Peng, Qiu Xiaoyan, Lin Wei, et al. Study of the dynamic characteristics of directly driven permanent magnet synchronous wind turbine[J]. Power System Protection and Control, 2012, 40(14): 38-43. [14] 范坚坚, 吴建华, 李创平, 等. 分块式Halbach型磁钢的永磁同步电机解析[J]. 电工技术学报, 2013, 28(3): 36-42. Fan Jianjian, Wu Jianhua, Li Chuangping, el al. Solution of permanent magnet synchronous motors with partition between poles Halbach magnet[J]. Transactions of China Electrotechnical Society, 2013, 28(3): 36-42. [15] Cho H W, Han H S, Bang J S, et al. Characteristic analysis of electrodynamic suspension device with permanent magnet Halbach array[J]. Journal of Applied Physics, 2009, 105(7): 3141-3143. [16] He Guang, Long Zhiqiang, Cheng Yuwei. The development and application of permanent-magnet EDS based on Halbach structure[C]//29th Chinese Control Conference, Beijing, 2010: 5457-5462. [17] Hoburg J F. Modeling maglev passenger com- partment static magnetic field from linear Halbach permanent magnet arrays[J]. IEEE Transactions on Magnetics, 2004, 40(1): 59-64. [18] 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[J]. Transactions of China Electrotechnical Society, 2014, 29(11): 61-67. [19] 陈殷, 张昆仑, 胡巧琳. 基于盘式Halbach永磁阵列的重力平衡装置电磁力计算[J]. 电工技术学报, 2014, 29(5): 36-42. Chen Yin, Zhang Kunlun, Hu Qiaolin. Calculating electromagnetic force created by gravity balance device based on discal Halbach permanent magnet array[J]. Transactions of China Electrotechnical Society, 2014, 29(5): 36-42. [20] 郭思源, 周理兵, 齐歌. 双三相永磁同步电机电磁性能解析计算[J]. 电工技术学报, 2014, 29(5): 17-28. Guo Siyuan, Zhou Libing, Qi Ge. Analytical calculation of electromagnetic performance in dual three-phase permanent magnet brushless AC machines[J]. Transactions of China Electrotechnical Society, 2014, 29(5): 17-28.