基于中心流形定理的永磁同步电机稳定性分析  

Stability Analysis of Permanent Magnet Synchronous Motor based on Central Manifold Theorem

作　　者：乐江源[1] 龚成坚 LE Jiangyuan;GONG Chengjian(School of Physics and Electronic Information,Gannan Normal University,Ganzhou 341000,China)

机构地区：[1]赣南师范大学物理与电子信息学院,江西赣州341000

出　　处：《赣南师范大学学报》2021年第6期39-42,共4页Journal of Gannan Normal University

基　　金：国家自然科学基金项目(51377025)。

摘　　要：基于中心流形定理提出一种永磁同步电机稳定性分析方法.首先在dq同步旋转坐标系下应用时间尺度变换和线性仿射变换,建立了适用于永磁同步电机动力学行为分析的三阶非线性自治系统模型;随后利用中心流形定理和Taylor逼近方法找到了永磁同步电机在断电空载状况下系统在原点附近的中心流形子空间,得到其简化的等效降维方程,并在此基础上讨论其稳定性和分岔情况.In this paper,a method for the stability analysis of permanent magnet synchronous motor(PMSM)is proposed based on the central manifold theorem.Firstly,a third-order nonlinear autonomous system model suitable for dynamic behavior analysis of permanent magnet synchronous motor(PMSM)is established by applying time scale transformation and linear affine transformation in DQ synchronous rotating coordinate system.Then,using the center manifold theorem and Taylor approximation method,the center manifold subspace near the origin of the PMSM system under the condition of no-load and power failure is found,and its simplified equivalent reducing dimension equation is obtained.On this basis,its stability and bifurcation are discussed.

关 键 词：永磁同步电机 稳定性分析 中心流形定理 

分 类 号：TN713[电子电信—电路与系统]