一类永磁同步电机动力学模型的稳定性和分岔分析

Stability and Bifurcation Analysis for the Dynamical Model of Special Permanent Magnet Synchronous Motor

摘要: 这篇文章研究了一类永磁同步电机系统的非线性动力学特性。给出了该系统的所有平衡点及其稳定性，并利用Hopf分岔定理和第一李雅普诺夫系数研究了系统产生Hopf分岔的参数条件和类型。最后利用Runge-Kutta方法对系统进行数值模拟，给出了系统的相图，验证了理论分析的结果。得出当c > c0时，系统出现次临界分岔。

Abstract: Nonlinear dynamic characteristics of the permanent magnet synchronous motor system are inves-tigated in this paper. All the equilibriums of the system and their stabilities are studied. Using the Hopf bifurcation theorem and the first Lyapunov coefficient, the conditions and the type of Hopf bifurcations for the system are investigated. With the Runge-Kutta method, the phase portraits of the system are given, which verify the analytical results.