表贴式永磁同步电机空载磁场的解析计算

Analytical Calculation of No-Load Magnetic Field of Surface-Mounted Permanent Magnet Synchronous Motor

提出了一种解析法用于对表贴式永磁同步电机(SMPMSM)的空载磁场进行定量计算。基于子域模型法的理论,将定子开槽的气隙结构划分成定子槽子域和气隙子域,并且在子域中建立相应的拉普拉斯方程。根据子域与铁心间的边界条件以及子域间交界面上的连续条件,对拉普拉斯方程进行求解,从而可对开槽效应进行解析计算,得到相对复磁导函数。该相对复磁导函数不仅计及槽与槽之间的影响,还考虑了槽深的影响。基于所推导的相对复磁导函数,对SMPMSM的气隙相对磁导和空载磁场的径向以及切向分量进行计算。解析计算结果与有限元结果进行对比,验证了该相对复磁导函数的准确性。

An analytical method was presented to predict the no-load magnetic field of the surface-mounted permanent magnet synchronous motor( SMPMSM) quantitatively. Based on the theory of the subdomain model,the air-gap structure with slotted stator was divided into the stator-slot subdomain and air-gap subdomain,and the corresponding Laplace equations were established in subdomains. According to the boundary conditions between the subdomains and the core and the continuous conditions at the interface between subdomains,the Laplace equation was solved,the slotting effect could be analytically calculated,and the complex relative permeance function could be obtained. The complex relative permeance function not only takes into account the influence between slots,but also considers the effect of the slot depth.Based on the derived complex relative permeance function,the radial and tangential components of the no-load magnetic field and the air-gap relative permeance of the SMPMSM were computed. The analytical results were compared with those obtained by the finite element method( FEM),and the comparison results verified the accuracy of the proposed complex relative permeance function.