Design of Nonlinear Feedback Voltage Regulator for Power Systems by Approximate Solution of HJB Equation

Design of an optimal nonlinear state feedback voltage regulator for power systems is proposed in this paper. In order to obtain the nonlinear control law the Hamilton-Jacobi- Belman (HJB) equation is solved using Taylor series expansion of its nonlinear terms. The performance of the proposed controller in a single machine-infinite bus power system is simulated and the advantages of the nonlinear feedback controllers in some grounds like increasing the fault tolerance and domain of validity of the close-loop system are investigated. Also, the advantages of the proposed controller in the presence of some disturbances are shown. Simulation results reveal the effectiveness of the proposed controller.

Keywords:

Nonlinear control , optimal control , nonlinear feedback control , power system , voltage regulation