永磁同步电机混沌运动机理分析

Analysis of chaotic motion mechanism of permanent magnet synchronous motors

永磁同步电机的参数变化会使系统的稳定性发生改变,主要表现为电机转速的失稳和电流的不规则振荡,针对此问题,提出一种基于轨迹保稳降维的永磁同步电机混沌运动机理分析方法。首先,利用Lyapunov稳定性理论和分岔图研究不同参数条件下永磁同步电机的动力学特性,从宏观角度分析该系统的稳定性;然后,采用平面坐标投影法对永磁同步电机混沌运动的微观机理进行深入解析,分析系统平衡点在混沌运动过程中性态的变化规律,从而进一步揭示永磁同步电机混沌吸引子的特性;最后,利用电子电路对永磁同步电机进行物理构建,并验证理论分析的正确性。

Changes in parameters of permanent magnet synchronous motors may influence its stability,such as the instability of motors speed and the irregular oscillation of current.To solve this problem,a novel method was proposed to analyze chaotic motion mechanism of permanent magnet synchronous motors which is based on trajectory stability-preserving dimension-reduction.Firstly,Lyapunov stability theory and bifurcation diagram was adopted to study the dynamic characteristics of permanent magnet synchronous motors under different parameters,which analyzes the stability of the system in a macroscopic perspective.Then,the lane coordinate projection method was proposed to explore the micro mechanism of chaotic motion of permanent magnet synchronous motors and the varying rule of equilibrium point was analyzed during the chaotic motion,which reveals the characteristics of the chaotic attractor of permanent magnet synchronous motors.Finally,the physical implementation of permanent magnet synchronous motor was constructed using electronic circuit to verify the correctness of the theoretical analysis.