高速永磁同步电机线圈与绕组电枢磁场计算方法及其内在联系  

Calculation Method and Its Internal Connection of Coil and Winding Armature Magnetic Field in High Speed Permanent Magnet Synchronous Motors

作　　者：于吉坤[1] 李立毅[1] 陈启明[1] 张江鹏[1] 曹继伟[1] 

机构地区：[1]哈尔滨工业大学电气工程及自动化学院,哈尔滨150001

出　　处：《电工技术学报》2017年第12期185-196,共12页Transactions of China Electrotechnical Society

基　　金：科技重大专项资助项目(2012ZX04001051)

摘　　要：为简化和统一复杂绕组磁场的分析问题,提出一种简易的单匝线圈磁场预测绕组磁场计算方法。基于高速永磁同步电机等效同心圆多层模型和涡流场泊松方程,结合各种介质交界面条件和边界条件,建立了稀疏矩阵形式的单匝线圈电枢磁场的解析方程组。从绕组排布组合形式多样性的特点出发,根据线圈位置和同相线圈连接方式,通过线圈代数化和绕组集合化处理,将线圈和绕组之间的递推关系简化和统一,揭示其关联性。线圈和绕组电枢磁场的解析计算方法和内部关系得到有限元仿真和相关文献计算方法的证实,结果表明了使用单匝线圈磁场研究绕组磁场问题的准确性和可行性。最后基于相关计算方法和内部关系的研究,分析了绕组合成磁场时空谐波的规律。To simplify and unify the analysis of complex winding magnetic field, one simple and easy method was presented. This method can predict the winding magnetic field from single turn coil magnetic field. Analytical equations of a single turn coil armature magnetic field were established based on the equivalent concentric multilayer model of high speed permanent magnet synchronous motors （PMSM） and Poisson equation of the eddy current field. A variety of medium interfaces and boundary conditions were employed, and the coil armature field equations with sparse matrix were built. According to the coil position and phase winding connection type, each coil was configured with an algebra and was assembled belonging to the same winding from the diversity characteristic of windings arrangement and combination form. Recursion was simplified and unified from coil to winding, and the relationship between them was revealed. The analytical calculation and the internal relation of armature magnetic field between coil and winding were confirmed by the finite element simulation and other calculation method in related literature. It was demonstrated that single turn coil magnetic field could deal with winding magnetic field. Finally, based on relevant calculation method and internal relations of coil and winding, time and space harmonics of winding resultant magnetic field were analyzed.

关 键 词：高速永磁同步电机 电枢磁场线圈和绕组分布 系数 时空谐波 

分 类 号：TM301.44[电气工程—电机]