双馈发电机PI控制的稳定性分析

Stability analysis of an doubly-fed induction generator under intelligient PI control

基于稳定性分析对于控制系统设计的重要性,给出了双馈发电机的动态方程,结合系统的运动方程和调节器的状态方程,导出了发电机PI控制系统的状态方程,并用Lyapunov间接法分析了电机参数对系统雅克比矩阵各特征根实部的影响,指出控制系统的发电机参数设置不当,可能导致系统不稳定.分析了PI调节器参数对各特征根实部的影响,确定控制系统的稳定域,找出PI调节器参数的最佳区域,界定PI调节器各参数的调节范围,进而有效地指导智能PI控制器的设计.

The stability analysis is important to the design of a control system. The dynamic equations of a doublyfed induction generator（DFIG） are given. Combining the system＇s motion equation and dynamic equations of regulators, the dynamic equations of an ASG under PI control are derived. The influence of generator＇s parameters on the real part of eigen roots is analyzed based on Lyapunov＇s indirect method; and it is pointed out that the inappropriate ASG＇s parameters sets value may lead to unstable of a control system. The influences of the PI controllers＇ parameters on the stability of the system are analyzed; and the stable region and the best range of PI controllers＇ parameters are found out. Based on the control system stability, the appropriate regulating ranges of the PI controllers＇ parameters is given so as to guide the design of the intelligent PI control system.