中文摘要：

提出了矢量磁位解析法用于分析转子偏心表贴式永磁电动机的空载气隙磁场，该方法适用于内转子偏心和外转子偏心结构。解析模型的求解场域分为气隙区域和转子永磁体区域，两类子区域的矢量磁位拉普拉斯方程或泊松方程根据交界条件建立关联，利用边界摄动理论，通过矢量位解析法求解转子偏心表贴式永磁电动机在定子坐标系下和转子坐标系下的气隙磁通密度表达式，实例计算结果与有限元法分析波形作比较，验证了矢量位解析法的有效性和正确性。

英文摘要：

The analytical method with vector magnetic potential was proposed to calculate the open-circuit air-gap magnetic field distribution in surface-mounted permanent magnet motors with rotor eccentricity, and the method was appli- cable to both internal and external rotor eccentric structure. The Laplace＇ s or Poisson＇ s equations and associated boundary conditions were formulated and solved by a perturbation method. The analytical eccentric air-gap flux density expressions were deduced by the use of vector magnetic potential. The proposed method was verified by comparing flux density of the analytical results with the finite element analysis results.