Bifurcation scenario and chaos detection under variation of PI controller and induction motor parameters

摘要

The aim of this paper is to provide numerical analysis to better understand the dynamic behavior of an indirect field oriented control (IFOC) of a current-fed induction motor. Bifurcation analysis of some parameters of the electrical motor model is achived. More importantly, we investigate the change that affects the dynamics and stability under small variations of a Proportional Integral controller (PI) gains. In fact, the dynamical properties of this electrical machine exhibit a rich behaviour. Indeed equilibrium point and complex oscillatory phenomena such as limit cycle and chaos are observed. Since a perturbation of PI control gains led to the existence of regular behavior and region where chaotic phenomena may occur. Thus, a numerical and graphical simulations of both parametric and phase plane singularities are carried out. Using numerical continuation techniques, we compute both bifurcation diagrams for the equilibrium points and the 2-parametric bifurcation curves. The analysis of the obtained bifurcation simulations gives a procedure to adjust both the parameters of motor and the PI controller gains.