李洪凤¹, 李天梦¹, 韩冰²
AuthorsHTML:李洪凤¹, 李天梦¹, 韩冰²
AuthorsListE:Li Hongfeng¹, Li Tianmeng¹, Han Bing²
AuthorsHTMLE:Li Hongfeng¹, Li Tianmeng¹, Han Bing²
Unit:1. 天津大学电气自动化与信息工程学院，天津 300072；2. 国网天津市电力公司检修公司，天津 300230
Unit_EngLish:1. School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China
2. State Grid Tianjin Power Maintenance Company, Tianjin 300230, China
Abstract_Chinese:永磁球形电机定子线圈呈空芯圆柱形结构, 由多匝导线缠绕在柱状铝芯上, 离散分布在定子球壳内壁不同经、纬度线交叉点处．针对采用集中绕制方式的定子线圈的结构特点, 基于毕奥-萨伐尔定律, 并考虑球形电机定子线圈在定子坐标系中的位置关系对问题分析复杂性的影响, 首先推导得到了任意位置单匝线圈在空间任意点处的磁场分布, 并与现有文献进行了比较验证．其次将单匝线圈推广到多层多匝线圈, 求解得到了任意位置多层多匝定子线圈在空间任意点处的磁场分布解析表达式．最后就定子线圈在不同路径上的磁场分布情况, 与有限元法所得结果进行了比较, 证明了该解析表达式的有效性．
Abstract_English:Permanent magnet spherical motor stator coils are of hollow cylindrical structure. Stator coils are formed by multiple wires wrapping cylindrical aluminum core and distributed independently on the intersection of longitude line and latitude line on the inner wall of the stator spherical shell. In view of the centralized winding structure characteristics of the stator coils，based on Biot-Savart law，and given the influence of the actual position relationship between spherical motor stator coils and stator coordinate system on the complexity of problem analysis，the magnetic field distribution of single turn coil at any position in any space is obtained in this paper and it is verified by comparing with the existing literature. Then，single turn coil is extended to multilayer turns coil and the magnetic field distribution of multilayer turns coil at any position in any space is obtained. Finally，the analytical method in this paper is compared with finite element method in terms of magnetic field distribution on different paths to verify the effectiveness of the proposed analytical method.
Keyword_Chinese:永磁球形电机; 毕奥-萨伐尔定律; 定子线圈磁场分布; 有限元法
Keywords_English:permanent magnet spherical motor; Biot-Savart law; magnetic field distribution of stator coil; finite element method

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