Nonlinear dynamic analysis and surface sliding mode controller based on low pass filter for chaotic oscillation in power system with power disturbance

Abstract

Chaotic oscillation in the power system often poses a great threat to the stability of the power grid, and the dynamic behaviors of fourth-order power system with power disturbance, which is more in line with the actual situation, are investigated firstly through Lyapunov exponent spectrums and bifurcation diagrams. It is found that the power system with power disturbance has more complex dynamic behaviors and larger domains of chaos. The disturbance terms also result in dynamic behaviors different from those of power system without disturbance, which sometimes brings system motions to period orbits with perturbation-related parameters limited in specific range. Moreover, a dynamic surface sliding mode controller with low pass filter is designed for chaotic suppression, and the relay characteristic function is selected as switching function to inhibit high-frequency chattering. Numerical simulations show that the sliding mode controller owns good effectiveness and strong robustness.