无轴承交替极永磁电机空载气隙磁场全局解析模型

摘要

建立交替极永磁转子全局解析模型，求解无轴承交替极永磁电机空载气隙磁场，求解区域划分为气隙区域、永磁体区域和槽区域。利用各子区域之间的边界条件求解拉普拉斯方程和泊松方程，通过矢量磁位求得气隙磁通密度表达式。气隙磁通密度和感应电动势波形的解析计算结果与有限元分析结果相比较，验证了全局解析模型的正确性和有效性。%Abstract The exact analytical model of the consequent-pole permanent magnet rotor is established for the no-load air-gap magnetic field calculation in consequent-pole permanent magnet bearingless motor. The solution region is divided into air-gap domain, permanent magnet domains and slot domains. Laplace equations or Poisson equations are solved based on the boundary condition between two adjacent sub-domains, where the air-gap flux density expressions are obtained by the use of magnetic vector potential. Comparing the analytical results of the air-gap flux density and the back-electromotive force with the finite element analytical results, the correctness and effectiveness of the exact analytical model is verified.