背绕式有槽永磁同步电机的电磁场解析模型

Analytical Model for Slotted Permanent Magnet Synchronous Motor with Gramme Windings

以1台5kW背绕式高速永磁同步电机为研究对象,建立其电磁场解析模型。将电磁场求解域划分为气隙子域、永磁体子域、槽口子域和槽子域,求解相应的拉普拉斯方程或泊松方程,解析模型计及电枢反应场、永磁场和定子开槽的影响。计算了该电机的气隙磁密、绕组磁链、绕组反电动势、齿槽转矩和电磁转矩,并将结果与二维有限元法计算结果和试验数据比较,比较结果说明了解析模型的准确性。最后以槽口开度为变量,研究其对气隙磁密分布和齿槽转矩的影响。

An analytical model was presented for a 5 kW high speed permanent magnet synchronous motor with gramme windings.The solution regions were divided into air-gap subdomain,permanent magnet subdomain,slot opening subdomain and slot subdomain.The Laplace and Poisson equations in each subdomain were solved.The analytical model accounted for armature reaction field,permanent magnet field and stator slot effects.Air-gap flux density,phase flux-linkage,phase back electromotive force,cogging torque and electromagnetic torque calculated with the proposed analytical method were respectively compared with finite element calculation results and experimental data.Comparison results illustrated the accuracy of the analytical model.Finally,air-gap flux density and cogging torque were studied based on different slot opening grades.