Period Doubling Bifurcations and Its Control in Induction Motor Drives

Abstract

Chaos can lead to self-oscillation, which affect thequality of induction motor drive system?. This effect happens with nonlinear systems, which are sensitive to the initial conditions, but governed by deterministic laws unlike random. to The present study aims to investigate the chaos that occur in the nonlinear systems - three phase AC drives using induction motor by the rotor of flux oriented control. After analyzing the phenomena based on a mathematical model, simulation will prove chaotic behavior when parameters fall into period doubling bifurcation regions. It showed clearly the chaotic behaviors through time response, phase diagram, Fourier spectrum, Poincaré section, bifurcation diagrams, and Lyapunov exponents. Besides, the sensitivity of the initial condition of the system was also well presented. This is the typical characteristic of a chaotic system. In conclusion, this is a suitable algorithm - sliding mode control put forward to suppress the chaotic oscillations quickly and return the system to the normal working, therefore, could improve the quality of the system.)