中文摘要：

准确计算永磁电机的气隙磁场分布是设计、优化电磁性能的关键。该文在二维极坐标平面内建立表面埋入式永磁电机的精确子域解析模型,求解区域划分为定子槽子域、气隙子域和转子槽子域,根据分离变量法求解各子域的矢量磁位通解,并利用各子域之间的边界条件得出相关谐波系数。模型考虑了普通/交替极转子结构,永磁体径向/平行充磁方式,隔齿绕/全齿绕两种形式的分数槽集中绕组,可计算电机空载磁场、电枢磁场和负载磁场分布。以一台40极48槽交替极转子结构永磁电机为例,将气隙磁密波形的解析计算结果与二维有限元结果相比较,验证了解析模型的准确性。

英文摘要：

Accurate calculation of the airgap magnetic field was the key to design and optimize permanent-magnet machines. An accurate subdomain model for surface-inset permanent magnet machines was set up in 2D polar coordinates, and the solution regions were divided into slot subdomains in the stator, airgap subdomain and slot subdomains in the rotor. The general solution of vector magnetic potential for each subdomain was solved by the variable separation method, and the Fourier coefficients were obtained by the boundary conditions between two adjacent subdomains. The analytical model accounts for the influence of normal/consequent pole rotor structure, radial/parallel magnetization of permanent magnet, fractional-slot concentrated-windings configurations having either all or alternate teeth wound, which can be used to predict the open-circuit, armature reaction and on-load magnetic field distribution. Taking a 40 pole-48 slot surface-inset permanent magnet machine with consequent pole rotor as example, the airgap flux density waveform computed by the analytical method was compared with two-dimensional finite-element method. The comparison results confirm the validity of the analytical prediction.