为了得到永磁同步电动机更为精确的数学模型，采用机理建模和数值建模相结合的方式，提出了一种永磁同步电动机分数阶建模方法． 首先根据电动机组成机理建立电动机的电磁环节和机械环节模型，分别对这两个环节进行建模实验，然后采用基于输出误差的数值拟合方法进行参数辨识，得到永磁同步电动机的分数阶模型，最后根据所得模型设计速度控制器并进行电动机速度跟踪仿真和实验． 结果表明，电动机分数阶模型比整数 阶模型能更准确地描述电动机的实际特性．

In order to obtain a precise model of permanent magnet synchronous motor (PMSM)，a fractional-order
modeling approach of PMSM is proposed by combining the mechanism modeling and the numerical modeling． First，the model structures of electromagnetic part and mechanical part of PMSM are built on the basis of the composition mechanism of PMSM，and modeling experiments are conducted on the two parts． Then，the parameters of the two parts are identified by applying the output-error numerical fitting method，and the fractional-order model of PMSM is thus obtained． Finally，the speed controllers are designed on the basis of the obtained model，and the simulations and experiments of tracking the motor speed are performed． Simulation and experimental results show that the proposed fractional-order model can describe the nature of PMSM more precisely in comparison with the integer-order model．