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In this paper, the method of resultants is introduced and achieved, three-dimensional Hopf bifurcation diagrams are showed to indicate the influences of an induction motor (IM) drive system parameters on system stability. Then, a Matlab/Simulink model of the closed-loop IM drive system via time-delayed state feedback is set up, numerical results validate that time-delayed state feedback can stabilize...
In this paper, the time-delayed feedback control method is introduced to stabilize unstable equilibrium points undergoing Hopf bifurcation for an induction motor (IM) drive system. Stability criterion of a nonlinear time-delayed system is first established, and then an effective procedure is shown how to stabilize the unstable equilibrium points by suitably select the feedback gain k and the time-delay...
In this paper, a method is presented and achieved to accurately determine Hopf bifurcation point for an induction motor (IM) drive system, and Hopf bifurcation diagram is showed to indicate evolvement of the equilibrium points from steady state to undergoing Hopf bifurcation and then achieving stabilization again. At last, the classical Floquet theory is applied to confirm the limit cyclepsilas stability.
Sustained oscillation of rotor speed is often experienced in PWM inverter induction motor (IM) drive systems. In this paper the sustained oscillation phenomena is investigated from the point of view of Hopf bifurcation theory. The sufficient and necessary conditions for existence of limit cycle are presented to determine bifurcation set in plane of stator voltage versus stator frequency. This research...
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