Fractional order control of static series synchronous compensator with parametric uncertainty

In modern power systems the smooth control of active power flow is one of the major concerns for power industry. In the current study the authors devise an adaptive fractional order robust damping control system for static series synchronous compensator connected to an infinite power transmission network. A detailed non-linear state model is presented with inclusion of parametric uncertainties, disturbances and other non-linearities. A novel fractional order sliding manifold is proposed and based on it an adaptive fractional order controller is derived. The uncertainty in the state model is estimated online using the adaptive control system. The stability and the convergence proof of the closed loop system is verified using fractional order Lyapunov theorem. Furthermore, the proposed control scheme is compared with the classical proportional integral derivative, integer order sliding mode and fractional order controllers under different scenarios. The effectiveness of the proposed control scheme is verified using numerical simulations.