﻿ 永磁同步电机模型的随机动力学分析

# 永磁同步电机模型的随机动力学分析Stochastic Dynamics Analysis of Permanent Magnet Synchronous Motor Model

Abstract: Firstly, the nonlinear differential equation of the PMSM systems was established by introducing random terms into the PMSM model based on synchronous rotating coordinates. The stochastic center manifold is used to reduce the dimension of the stochastic systems, and then the Ito differ-ential equations are obtained by the stochastic average method. Then, by using Lyapunov index and singular boundary theory, the local and global stability of the systems are discussed, and the conditions of stability are obtained. The D-bifurcation and P-bifurcation behavior of the systems is analyzed based on the stochastic average method for the quasi-integrable Hamiltonian systems. Finally, the appropriate bifurcation parameters are selected for numerical simulation, and the bi-furcation positions are verified.

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