Nonlinear adaptive backstepping controller design for static VAR compensator

The problem of transient stability for a single machine infinite bus system with static VAR compensator (SVC) is addressed in this paper. In the system, the damping coefficients are measured inaccurately. A nonlinear robust controller and a parameter updating law are obtained simultaneously based on modified adaptive backstepping and Lyapunov methods. The system does not need to be linearized and the closed-loop error system is guaranteed to be asymptotically stable. Simulation results demonstrate that the proposed method provides better system response and robustness than the design based on conventional adaptive backstepping method.