3相全桥驱动的S-MCSRM数学模型

Mathematical modeling for S-MCSRM with 3-phase full bridge converter

针对短磁路互感耦合开关磁阻电机(S-MCSRM)的绕组连接方式和原理,建立电机的简化磁网络模型。通过插值法计算得到开关磁阻电机(SRM)磁链/磁势曲线簇。在此基础上,推导S-MCSRM磁链方程,利用二分法计算S-MCSRM磁链特性。根据虚位移原理和SRM磁链/磁势模型,得到S-MCSRM两相同时导通时的矩角特性。利用有限元软件,从电磁场分析的角度,计算获得S-MCSRM的电磁特性,并与磁网络模型法进行比较,比较结果表明,该非线性建模法的误差不超过20%,验证了建模方法的合理性和有效性。根据建立的S-MCSRM数学模型,比较分析了电机和传统SRM的电磁转矩及转矩脉动系数。

According to the winding connection way and principle of short magnetic circuit mutual inductance coupling switch reluctance motor （S-MCSRM）, simplified magnetic network model is established in the paper. Flux/magnetic potential curves of switch reluctance motor（SRM） were calculated by the interpolation method. Based on this, the paper deduced S-MCSRM flux linkage equation through the magnetic network model and also calculated S-MCSRM flux linkage characteristics by bisection method. Torqueversus-angle characteristic of S-MCSRM was calculated according to the principle of virtual displacements and traditional SRM flux/magnetic potential model when two phases were excited at the same time. The paper calculated the electromagnetic characteristic of S-MCSRM by finite element method （FEM） from the electromagnetic field analysis and compared results with flux path model method. The results show that the error of model is less than 20% and nonlinear modeling method is reasonable and effective. Finally, electromagnetic torque and torque ripple coefficient of two motors are compared and analyzed based on established mathematical model.