摘要：在详细分析六相四对极双Y移30°永磁同步电机的理论基础上，引入绕组函数和倒气隙函数概念对其电感参数进行定量分析，建立完整的数学模型并对模型进行仿真。首先，在自然坐标系下建立基于绕组函数和倒气隙函数的电机数学模型；然后，根据坐标变换理论得到二相旋转坐标系下的电机数学模型；最后，按照上述推导的数学模型在Matlab/Simulink中建模和仿真。仿真中采用基于有效作用时间的PWM控制策略来控制电机运行，得到良好的控制性能。

关键词：六相双Y移30°永磁同步电机；绕组函数；倒气隙函数；Matlab/Simulink

Abstract: A complete mathematical model was established and simulated on the basis of detailed analysis of sixphase four pair poles dual Y shift 30° PMSM. Firstly, a motor mathematical model based on the winding function and air gap reciprocal function was built in the natural coordinates. Then the motor mathematical model in the 2 phase rotating coordinate system was obtained with the coordinate transformation theory. Lastly, a model was built in Matlab/Simulink according to the mathematical model stated above and simulations are conducted. The effective imposing time based control strategy was used to control the motor in the simulation which led to good performance of the motor.

Key words: sixphase dual Y shift 30° PMSM；winding function； air gap reciprocal function；Matlab/Simulink