A novel nonlinear adaptive robust control for multi-machine power system with STATCOM

For the Multi-Machine power system with STATCOM, it is equivalent to the two machine system. A nonlinear robust STATCOM controller is designed by using the improved backstepping method, immersion and invariant adaptive control and sliding mode control. Firstly, the parameter substitution law of damping coefficient is replaced by the immersion and invariant adaptive control. Then, based on the traditional backstepping method, the k-class function is added to improve the convergence rate of the system. And, in the last step of the backstepping design, the sliding mode control is added to enhance the robustness of the controller. The simulation results show that the STATCOM controller is more robust and adaptive ability, accelerates the convergence speed of the system, and obviously improves the stability of the multi-machine power system.