Chaos control of RESs integrated power system model using adaptive higher order PID SMC and comparison of different adaptive SMC techniques

In this paper, the analysis and control of renewable energy sources (RESs) integrated 4D power system model are reported. Wind energy systems and photovoltaic panels are integrated as RESs into the power system model. A power system is a very complex, dynamic system that exhibits nonlinear behaviours. Consequently, the power system may experience serious scenarios like voltage instability or voltage collapse. The bifurcation and chaos behaviours of the RESs integrated power system model are studied and verified using the Lyapunov exponent, Lyapunov spectrum, and bifurcation diagram. Since chaotic oscillations are unlike and highly dangerous for stable operation of a power system, an adaptive higher order PID sliding mode control (SMC) technique is designed to control the chaotic oscillation. The required asymptotic stability condition is derived using Lyapunov stability theory. A comparative study is done based on different performance indices to analyse the performance of the designed control with four existing adaptive SMC techniques.