端口受控耗散哈密顿的永磁同步电机转速稳定性分析与多系数化简

Stability analysis of speed and multi-factor simplification in port controlled dissipative Hamiltonian permanent magnet synchronous motor

为解决端口受控耗散哈密顿系统的永磁同步电机设计过程中系数较多及稳定性等问题,将多系数映射到单系数的公式拟合技术应用到电机的数学建模中。开展了对系统稳定性的分析,建立了转矩和电流与系统稳定平衡点之间的关系,提出了单系数控制多系数的方法。在速度反馈的基础上对系统性能进行了评价,并开展了Simulink仿真试验。研究结果表明,所设计的控制器具有良好的稳定性与可控性。

In order to solve the problems of muhi coefficients and stability in the design of permanent magnet synchronous motor（PMSM） in port controlled dissipative Hamiltonian system, the formula fitting technique of multi coefficients mapping to a single coefficient in the mathematical modeling of the permanent magnet synchronous motor was investigated. After the analysis of the stability of the system, the relationship between torque, current and a stable equilibrium point of the system was established. A method was presented to control the multi-coefficient system with a single-coefficient. The system performances were evaluated on the basis of the speed feedback. The Simulink simulation was tested. The experimental results show that, the design of the controller has a good stability and controllability.