A NONLINEAR CONTROLLER FOR POWER SYSTEMS WITH STATCOM BASED ON BACKSTEPPING AND RAPID-CONVERGENT DIFFERENTIATOR

This paper addresses a backstepping control design for power systems with STATCOM. With the help of a coordination of backstepping control strategy and rapid-convergent differentiator, the developed control law is designed to avoid the problem of "explosion of terms" arising in conventional backstepping method. The differentiator design is introduced to get the differential estimations of the virtual control function. The obtained differentials can be used instead of the derivative of the virtual control functions in each design step. Additionally, the derivative estimations of rapid-convergent differentiator have high precision and no chattering phenomenon. In order to show the effectiveness of the presented design, simulation results indicate that the presented control can effectively improve dynamic performances, rapidly suppress system oscillations of the overall closed-loop dynamics, and outperforms a conventional backstepping control technique.