Non-singular Terminal Sliding Mode Chaos Control of 3-Bus Power System Model

This paper comes out with the presence and control of chaos, bifurcation behaviors in the 3-bus power system dynamics via nonlinear theory. The fourth order dynamics of the 3-Bus power system utilizing the generator model, constant load model and equivalent circuit dynamics of the 3-bus system is obtained. Existence of undesirable bifurcation and chaos behaviors is verified using different nonlinear analysis tools such as phase plane, Poincaré map, bifurcation diagram, Lyapunov exponent. Further, the design of discontinuous terminal sliding mode control (TSMC), the unbounded nature of control inputs results in unlike singularity and unwanted chattering problems in the 3-bus power system model. A non-singular TSMC is designed to control the chaotic behavior in 3-bus power system model by selecting a continuous terminal sliding surface, which helps in finite time convergence and stability of the 3-bus power system dynamics to the desired reference point from any initial condition. The proposed TSMC control method avoids singularity and chattering problems. Simulations are achieved in MATLAB environment to verify the analytical approach successfully.