永磁同步电动机模型的动力学研究及其数值仿真

摘要

在已有文献研究的基础上，利用微分方程与动力系统的基本理论与方法，首先从解析上推导出永磁同步电动机混沌模型的全局吸引域，然后对这个理论结果进行仿真；理论分析及数值仿真结果表明：该永磁同步电动机混沌模型全局吸引集的研究结果是正确的；研究结果对保证电机传动系统的稳定运行具有较好的参考价值；同时，为永磁同步电动机混沌系统在工程中的应用和电路设计提供了理论依据。%On the basis of the existing literature research,this paper uses the basic theory and method of differential equation and dynamics system to firstly derive the global attraction region of the chaotic model of the permanent magnet synchronous motor and then to make simulation on the theoretical results.The theoretical analysis and numerical simulation results show that the studying result of global attraction set of the chaotic model of this permanent magnet synchronous motor is correct.The studying result has good reference value for the stable operation of the gearing system of the motor,and meanwhile,the research results provide theoretical basis for the motor to be used in circuit design and engineering of the chaotic system of the motor.