Nonlineair extended backstepping control of static VAR compensator for power systems damping

The problem of transient stability for a single machine infinite bus system with static VAR compensator (SVC) is addressed in this paper. The SVC is designed by an extended backstepping approach which is based on a parameter estimator and state observer design and standard backstepping construction. Due to adopting the new adaptive controller, the approach in this study has three distinct features: First, the parameter estimator and state observer does not follow the classical certainty equivalent principle. Second, the design treats the unknown parameter estimation and unmeasured state observation in a united way. Third, unlike the conventional observer-based backstepping, the design does not require the construction of Lyapunov function for every augmented subsystem. The system does not need to be linearized. The results show the effectiveness of the proposed control.