感应电动机的Hopf分岔及PI速度调节器的设计

Hopf Bifurcation and Design of PI Speed Controller in Induction Motors

在感应电动机间接磁场定向控制系统中 ,若转子电阻不能正确估计且PI速度调节器参数设置不当 ,系统可能因出现Hopf分岔而导致振荡 .文中根据Lyapunov稳定性理论分析了Hopf分岔产生的条件 ,推导出对PI速度调节器参数的合理选择具有普适性的依据 .同时讨论了定子电流励磁分量给定信号对分岔条件的影响 .仿真结果证实了理论分析的正确性 .Hopf分岔条件可作为PI速度调节器设计的指导 ,以提高系统的稳定性和可靠性 .

In the indirect-field oriented control (IFOC) sys tem of induction motor with poor PI speed controller setting,oscillation may occur due to the existence of Hopf bifurcation if the motor rotor resistance can not be exactly estimated.In this paper,conditions of Hopf bifurcation happening were analyzed according to the Lyapunov stability theory,and principles for proper PI speed controller setting were deduced. Influence of d axis stator current reference on Hopf bifurcation was also discussed.The validity of the above analyses was finally proved by simulation results.The conditions of Hopf bifurcation happening can be used as the guidance for PI speed controller design for the purpose of improving the stability and reliability of IFOC system.