永磁同步电机的分数阶建模方法

摘要

将永磁同步电机(permanent magnet synchronous motor,PMSM)整数阶模型推广到分数阶,构造结构相同的分数阶电机模型.针对整数阶电机模型,基于遗传算法设计最优 PID控制器,将所设计最优PID控制器作用于分数阶模型.通过调节分数阶模型分数阶次可得到电机调速系统的一簇阶跃响应曲线,选取该簇曲线中动静态特性相对最好的曲线所对应的分数阶次作为永磁同步电机的分数阶模型阶次,从而构造出永磁同步电机的分数阶模型.通过软件仿真和结果分析可得本文所构造的分数阶永磁同步电机模型具有更好的动静态特性和描述效果.%Extending the integer order to fractional order on the based of the structure of the original PMSM model.Ge-netic algorithm is used to design optimal PID controller for the integer order model of PMSM.Then the designed optimal PID controller is applied to the fractional order model of PMSM,we can obtain a cluster of the step response for the speed governance system of PMSM by adjusting the fractional orders of fractional order model.We choose one curve that responds the best dynamic and static characters as the fractional order of the fractional order model of PMSM,obtaining the fractional order model of PMSM.Simulation results show that the fractional order model of PMSM has better time domain perform-ance and description.