Bifurcation, Chaos and PID Sliding Mode Control of 3-Bus Power System

Abstract

This paper exclaims analysis of bifurcation and chaos phenomena in a 3-bus electrical power system model. The nonlinear dynamic modeling of proposed power system is achieved using generator, load models and equivalent circuit of 3-bus model. The reactive power of the motor is considered as a varying or bifurcation parameter and existence of dynamic behaviors like bifurcation and chaos in 3-bus power system model is discussed via. phase plane, time series plot, bifurcation diagram, Lyapunov spectrum and Poincare map. PID sliding surface-based sliding mode control is designed to control undesirable chaotic behavior in the proposed 3-bus power system and is not available in the literature. Simulation is achieved in MATLAB environment and obtained results show successful achievement of the objectives.