永磁同步发电机混沌运动分析及最优输出反馈H∞控制∗

摘要

The permanent magnet synchronous generator (PMSG) is investigated and its mathematical model is established in two-phase synchronous rotating coordinates. Aiming at the fact that PMSG may present chaotic behaviors at certain values of parameters and under certain working conditions, the output feedback control gain matrix with the minimum performance index is obtained by solving the Riccatic equation and fed back to the system in order to improve the system performance with considering the disturbance. Results show that the optimal output feedback H∞ control based on Riccatic equation can respond to PMSG very quickly and accurately in the chaotic state when disturbance occurs.%以永磁同步发电机为研究对象，在两相同步旋转坐标系下建立了数学模型。针对永磁同步发电系统在某些参数和工作条件下出现的混沌运动现象，在考虑系统扰动的情况下通过求解Riccatic方程得到满足最小性能指标的输出反馈控制增益矩阵，并将该增益矩阵反馈到系统中，用来改善系统性能。仿真结果表明，基于Riccatic方程的最优输出反馈H∞控制，在系统发生扰动时，能对混沌运动下永磁同步发电机做出快速响应，使系统脱离混沌运动，运行稳定。