双三相永磁同步电机电磁性能解析计算

Analytical Calculation of Electromagnetic Performance in Dual Three-Phase Permanent Magnet Brushless AC Machines

采用傅里叶级数法计算表贴式双三相永磁同步电机的电磁性能。解析模型建立在二维极坐标下,求解区域划分为槽、槽开口、气隙和永磁体四类子域。以矢量磁位为求解变量,在槽开口和气隙子域建立拉普拉斯方程,在槽和永磁体子域建立泊松方程,根据分离变量法求解偏微分方程,并利用各子域之间的边界条件得到谐波系数。解析模型考虑了径向/平行/Halbach等多种充磁方式,内/外永磁转子结构,适用于隔齿绕/全齿绕两种形式的分数槽集中绕组,可用于计算电机空载磁场、电枢反应磁场和负载磁场。在解析模型的基础上,求解了齿槽转矩以及两种分数槽集中绕组连接方式下的空载反电动势和电磁转矩。与有限元结果相比较,表明了解析方法的准确性。

The Fourier series decomposition is applied to compute the electromagnetic performance of surface dual three-phase permanent magnet brushless AC machines. The analytical model is set up in 2D polar coordinates, and the solution regions are divided into slot-opening, slot, air-gap and permanent magnet subdomains. Taking the vector magnetic potential as variable, the Laplace equation in slot-opening and air-gap subdomains, poisson equations in slot and permanent magnet subdomains are solved by the variable separation method. The Fourier coefficients are obtained by the boundary conditions between two adjacent subdomains. The analytical model accounts for the influence of radial/ parallel/Halbach magnetization, internal/external rotor topologies. This model is applicable to 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. Based on this analytical model, the cogging torque, back-EMF and electromagnetic torque of two winding connections for fractional-slot concentrated-windings are calculated. FE results confirm the validity of the analytical prediction.