Calculating Electromagnetic Force Created by Gravity Balance Device Based on Discal Halbach Permanent Magnet Array
Chen Yin1, Zhang Kunlun1, Hu Qiaolin2
1. Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle Ministry of Education South West Jiaotong University Chengdu 610031 China; 2. South West Jiaotong University Chengdu 610031 China
Abstract：A new type of electromagnetic gravity balance device, based on the discal Halbach permanent magnet array, is presented in this paper, to achieve the non-contact free motion of spacecraft in vacuum. In order to calculate the force created by this device, the discal array can be regarded as the integral of linear array, with different pole pitches. Magnetic vector potentials differential equations, based on linear array, are built, and the expression of the electromagnet force is produced by solving this equation system. Integrating this expression, along the radial direction, the formula of the force created by the PM disk can be work out. Comparing the results of analysis and finite element method, built by ANSYS, it shows that, the relative error is 4.39%.
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. Transactions of China Electrotechnical Society, 2014, 29(5): 36-42.
[1] 娄汉文, 张柏楠, 刘宇. 空间对接机构试验技术[J]. 航天器工程, 1994, 3(3): 23-30. Lou Hanwen, Zhang Bainan, Liu Yu. Test technology of space docking mechanism[J]. Spacecraft Engineering, 1994, 3(3): 23-30. [2] 娄汉文, 张柏楠. 空间对接机构的技术发展[J]. 航天工程, 1994, 3(3): 1-22. Lou Hanwen, Zhang Bonan. The technical development of space docking mechanis[J]. Astronautical Engineering, 1994, 3(3): 1-22. [3] 张广玉, 张崇峻, 赵学增. 航天器对接六维试验台内装式重力平衡技术[J]. 北京航空航天大学学报, 2004, 30(12): 1186-1190. Zhang Guangyu, Zhang Congjun, Zhao Xuezeng. Gravity balance technique installed on six freedom spacecraft docking test table[J]. Journal of Beijing University of Aeronautics and Astronautics, 2004, 30(12): 1186-1190. [4] 赖一楠, 张广玉, 陈志刚. 基于虚拟样机的航天器对接转动模拟装置仿真研究[J]. 系统仿真学报, 2005, 17(3): 639-649. Lai Yinan, Zhang Guangyu, Chen Zhigang. Spacecraft docking rotating simulator based on virtual prototype [J]. Journal of System Simulation, 2005, 17(3): 639-649. [5] 徐志刚, 辛立明, 赵明扬. 空间对接缓冲试验台对接环重力平衡技术[J]. 仪器仪表学报, 2009, 30(6): 1140-1144. Xu Zhigang, Xin Liming, Zhao Mingyang. Gravity balance technique of active docking ring for spacecraft docking test table[J]. Chinese Journal of Scientific Instrument, 2009, 30(6): 1140-1144. [6] 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. [7] 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. [8] 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. [9] 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. [10] Jang S M, Kwon J K, Lee S H, et al. Characteristic analysis of linear eddy-current brakes[C]. IEEE CNF Electrical Machines and Systems, Sixth International Conference, 2003, 1: 177-179. [11] 谈震, 李永丽. 基于双 DSP 的飞轮储能系统控制平台的研制[J]. 电力系统保护与控制, 2012, 40(11): 127-139. Tan Zhen, Li Yongli. Development of flywheel energy storage system control platform based on dual-DSP[J]. Power System Protection and Control, 2012, 40(11): 127-139. [12] 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 Electrotechnical Society, 2010, 25(3): 27-32. [13] 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. [14] 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]. Transactions of China Electrotechnical Society, 2009, 24(1): 18-22. [15] 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. [16] Post R F, Ryutov D D. The Inductrack: a simpler approach to magnetic levitation [J]. IEEE Transctions on Applied Superconductivity, 2000, 10(1): 901-904. [17] 张一鸣, 乔德治, 高俊侠. Halbach阵列永磁体的研究现状与应用[J]. 分析仪器, 2010, 1(2): 5-10. Zhang Yiming, Qiao Dezhi, Gao Junxia. Current research on and applications of Halbach permanent magnet array[J]. Analytical Instrumentation, 2010, 1(2): 5-10. [18] 秦伟, 范瑜, 朱熙, 等. 永磁电动式磁悬浮装置的研究[J]. 电机与控制学报, 2011, 15(7): 77-81. Qin Wei, Fan Yu, Zhu Xi, et al. Analysis of permanent-magnet electro-dynamic maglev device[J]. Electric Machines and Control, 2011, 15(7): 77-81. [19] Hoburg J F. Modeling maglev passenger compartment static magnetic field from linear halbach permanent magnet arrays[J]. IEEE Transactions on Magnetics, 2004, 40(1): 59-64. [20] 冯慈璋, 马西奎. 工程电磁场导论[M]. 北京: 高等教育出版社, 2000. [21] 雷银照. 时谐电磁场的解析计算[M]. 北京: 科学出版社, 2000.
2014, Vol. 29 
