Research on Chaotic Motion Simulation Method of Fractional Order Permanent Magnet Synchronous Motor

Jian-qun Han
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Abstract

Fractional order permanent magnet synchronous motor (PMSM) has fractional order, so it is difficult to simulate the fractional PMSM system because the usual Matlab can only simulate the integer order differential system. Firstly, the fractional order mathematical model of permanent magnet synchronous motor is introduced in this paper. Secondly, the calculation method of fractional order calculus is studied. Finally, the simulation model of fractional order PMSM is built by using this method, and its chaotic phase diagram is also given. The simulation results show that the proposed simulation method is effective.
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分数阶永磁同步电动机混沌运动仿真方法研究
分数阶永磁同步电机(PMSM)具有分数阶特性,通常的Matlab只能模拟整数阶的微分系统,给分数阶永磁同步电机系统的仿真带来困难。本文首先介绍了永磁同步电动机的分数阶数学模型。其次,研究了分数阶微积分的计算方法。最后,利用该方法建立了分数阶永磁同步电机的仿真模型,并给出了其混沌相图。仿真结果表明所提出的仿真方法是有效的。
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