基于球谐函数的动量球定子磁场分析  

Stator Magnetic Field Analysis of Reaction Sphere Based on Spherical Harmonics

作　　者：李斌 张硕 李桂丹 李洪凤 Li Bin;Zhang Shuo;Li Guidan;Li Hongfeng(School of Electrical and Information Engineering Tianjin University Tianjin 300072 China)

机构地区：[1]天津大学电气自动化与信息工程学院,天津300072

出　　处：《电工技术学报》2018年第23期5442-5448,共7页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金项目(51677130;51877149);天津市基金合作项目(17JCTPJC46600)资助

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。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.

关 键 词：动量球 定子磁场 解析法 尺寸等效 球谐函数 

分 类 号：TM351[电气工程—电机]