To reveal the system vibration mechanism, comprehensive consideration of the motor rotor vibration form and the electromechanical coupling effect, a torsional vibration coupling model of the rotor system under electromagnetic effects and terminal load disturbance is established based on the motor theory and Maxwell equations. According to the Melnikov method, the balance point and stability region of the undisturbed Hamilton system are analyzed, and the influence of the system damping and terminal load on the torsional characteristics of the PMSM rotor system is clarified. The specific path and mechanism of the PMSM rotor system instability of the shearer cutting section are revealed. The load excitation f and the system damping u are selected as single control variables, respectively, to analyze the movement state of the system when different variables change. This research can provide a reference for system parameter optimization and selection of common working conditions.

为揭示系统振动机理，综合考虑电机转子振动形式和机电耦合效应，基于电机理论和麦克斯韦方程，建立了电磁效应和终端负载扰动下转子系统的扭振耦合模型。根据Melnikov方法，分析了原状Hamilton系统的平衡点和稳定区，明确了系统阻尼和终端载荷对永磁同步电机转子系统扭转特性的影响。揭示了采煤机切割段永磁同步电机转子系统失稳的具体路径和机理。负载激励f和系统阻尼u分别选取作为单一控制变量，分析不同变量变化时系统的运动状态。该研究可为系统参数优化和常用工况选择提供参考。