插入式永磁电机偏心空载磁场摄动解析模型

Open-circuit magnetic field study for insert permanent magnet motor with rotor eccentricity based on perturbation analytical method

运用摄动解析法研究了插入式永磁电机转子偏心时的空载磁场分布。将求解模型分成气隙和永磁体两部分,建立了矢量磁位的摄动方程,对该方程截断近似,得到求解域的零阶和一阶拉普拉斯方程和泊松方程。给出方程的通解,以偏心率为摄动变量,推导了定子内径处的偏心边界条件,利用边界条件确定了通解的待定系数,得到了插入式永磁电机转子偏心空载磁场分布。应用麦克斯韦张量法计算永磁偏心力。将该模型和有限元法计算结果进行了对比,两者对照一致性较好。通过调整参数,该模型可以方便的计算不同转子位置和偏心距离下的磁场分布。

Perturbation analytical method was used for inset permanent magnet motor with rotor eccen- tricity. The solution domainwas divided into air-gap and magnets subdomains. The analytical model of magnetic vector potential was built. The general solution of perturbation method was formulated. Ec- centricity ratio was adopted as perturbation variable. The eccentricity boundary condition was deduced. The undetermined coefficients were determined by boundary conditions. The open-circuit magnetic field distribution of this motor was obtained. The eccentricity force was calculated by the Maxwell tensor. The analytical solutions were verified by the results of the corresponding finite element （FE） analysis. The work shows that the results of the proposed method agree with the FE results. The magnetic field distribution of different rotor position and eccentricity distance are calculated easily by adjusting the parameters.