Chaos Control And Synchronization Of An Induction Motor Drives

Due to the excellent performance, the indirect field-oriented control is widely applied to the induction motor drives. The irregular oscillations occur when the estimation error of the rotor time constant exists in the indirect field-oriented control of induction motor drives. It is proved that under some conditions Hopf bifurcation occurs in the induction motor drives which may cause the chaotic behavior. The chaotic oscillations greatly influence the stability of the drives. This paper further analyzed the bifurcation characteristic of the indirect field-oriented induction motor drives and researched the route to chaos, which provided methods for chaos suppression.Firstly, the dynamical analysis of the system reveals that the system may present stable, periodic and chaotic state and so on. Namely, the system leads into the chaotic state by the period-doubling bifurcation and presents rich dynamics. Furthermore, this paper suppressed chaotic oscillations by single time-delayed feedback and double time-delayed feedback, stabilized the system into the equilibrium point by adjusting the parameter value. It is proved that double time-delayed feedback can make the system become stable easily. Next, Based on the Lasalle invariant set an adaptive is designed to suppress the chaotic vibrations of induction motor drives, and stabilize the system into the fixed point. At the same time, this paper supplied the basis for the selection of the controller parameters. Moreover, this paper applied another chaos identification method--0-1test to identify chaos and employed an controller to suppress chaos giving the principle of selecting the controller parameter based on the0-1test. Finally, this paper utilized an adaptive state-error feedback controller to synchronize two induction motor drives and the error weakened rapidly. This paper uses various mathematical methods to analyze the induction motor drives, suppresses the chaotic behavior with different controllers, and proves that they are reliable and effective.