电工技术学报  2018, Vol. 33 Issue (23): 5442-5448    DOI: 10.19595/j.cnki.1000-6753.tces.L80058
电机与电器 |
基于球谐函数的动量球定子磁场分析
李斌, 张硕, 李桂丹, 李洪凤
天津大学电气自动化与信息工程学院 天津 300072
Stator Magnetic Field Analysis of Reaction Sphere Based on Spherical Harmonics
Li Bin, Zhang Shuo, Li Guidan, Li Hongfeng
School of Electrical and Information Engineering Tianjin University Tianjin 300072 China
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摘要 提出一种新的圆柱形定子线圈空间磁场解析法。在双多面体结构动量球中,缠绕成圆柱形的空心定子线圈按照一定规律分布在定子球壳的表面。首先,将通电线圈等效为圆柱形永磁体,进而利用尺寸等效获得圆锥形永磁体模型,并获得线圈电流与永磁体剩余磁化强度之间的关系。然后,通过求解气隙中标量磁位满足的拉普拉斯方程,得到气隙中磁场的球谐函数描述。最后,通过分析有限元仿真结果和实验结果,可知径向磁通密度解析结果在表达定子磁场方面的准确性较高。
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李斌
张硕
李桂丹
李洪凤
关键词 动量球定子磁场解析法尺寸等效球谐函数    
Abstract:This paper presents a new spatial magnetic field (MF) analysis method of cylindrical stator coil. In the double polyhedral structure reaction sphere (RS), air-cored stator coils formed into a cylindrical shape are distributed on the surface of the stator shell in accordance with a certain rule. First, the energized coil is equivalent to a cylindrical permanent magnet, the conical permanent magnet model is obtained using the size equivalent, and the relationship between the coil current and the residual magnetization of the PM is obtained. Then, the spherical harmonics description of the air gap magnetic field is obtained by solving the Laplace equation with the air gap scalar magnetic field. Finally, by analyzing the finite element simulation results and experimental results, it can be seen that the radial magnetic density analytical expression has a good accuracy in fitting the stator MF.
Key wordsReaction sphere    stator magnetic field    analytical method    coil equivalent    spherical harmonics   
收稿日期: 2018-06-13      出版日期: 2018-12-17
PACS: TM351  
基金资助:国家自然科学基金项目(51677130, 51877149)和天津市基金合作项目(17JCTPJC46600)资助
作者简介: 李 斌 男,1976年生,副教授,博士生导师,研究方向为电机系统及其控制、电磁场理论与应用。E-mail:elib@tju.edu.cn(通信作者); 张 硕 男,1994年生,硕士研究生,研究方向为电机电磁场分析。E-mail:zhangshuo2016@tju.edu.cn
引用本文:   
李斌, 张硕, 李桂丹, 李洪凤. 基于球谐函数的动量球定子磁场分析[J]. 电工技术学报, 2018, 33(23): 5442-5448. Li Bin, Zhang Shuo, Li Guidan, Li Hongfeng. Stator Magnetic Field Analysis of Reaction Sphere Based on Spherical Harmonics. Transactions of China Electrotechnical Society, 2018, 33(23): 5442-5448.
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