考虑隔磁桥饱和的切向式永磁电机电枢磁场解析建模

Analytical modeling of armature magnetic field in spoke-type permanent magnet machine considering saturation of magnetic bridge

为解决多层绕组结构的切向式永磁电机磁场准确计算的难题,文中基于二维子域解析建模思想提出一种考虑定子多层绕组结构和转子隔磁桥饱和效应的电枢磁密解析计算方法。该方法首先在定子槽内进行精细子域划分,以建立多层电枢绕组的矢量磁位方程,然后通过等效气隙对切向式转子铁芯隔磁桥处的饱和效应进行等效,最后结合误差校验和循环迭代,有效解决传统子域建模方法因无法考虑铁芯有限磁导率而难以对内置式永磁电机进行磁场计算的问题。文中以8极9槽和10极12槽永磁电机为例,结合不同绕组结构建立有限元解析模型,并将有限元法计算结果与解析法计算结果进行对比,验证了该方法的计算准确性和运算快速性。

In order to solve the accurate calculation problem of spoke-type permanent magnet machines with multi-layer winding structure in the magnetic field,based on the two-dimensional subdomain analytical modeling idea,a magnetic density analytical calculation method considering the saturation effect at the rotor magnetic bridge and stator multi-layer winding structure is proposed.In this method,the magnetic vector potential calculation of multi-layer armature winding can be calculated by subdomain division in the stator slot.Then,the saturation effect at the spoke-type rotor core magnetic bridge is equivalent by using an equivalent air gap.To ensure the accuracy of calculation,the error check and cyclic iteration are applied in this method.The key contribution of this method is effectively solving the interior permanent magnet machines′magnetic field calculation problem in the traditional subdomain modeling method due to the inability to consider the finite magnetic permeability of the core.Taking 8-pole 9-slot and 10-pole 12-slot permanent magnet machines as examples,finite element models with different winding structures are built to validate the validity of the proposed method.The results show that the analytical method achieves a reduction in the computation time while maintaining the calculation accuracy.