Multi-index coordinated control for STATCOM and generator excitation in Differential Algebraic System

The six-order nonlinear mathematical model is established for the power system which with a Static Synchronous Compensator (STATCOM). As an example, a salient-pole generator model is applied in single machine infinite bus (SMIB) system. The coordinated controller of this system is designed by Multi-index Nonlinear Control scheme based on the Differential Algebraic System. Starting with the internal structure of STATCOM, this paper uses the STATCOM´s pulse control angleθand the angleαwhich is between the voltage vector of output of the STATCOM and the voltage vector of an infinite system as the control variables. The previous mathematical model´s strong constraints conditions are overcomed by this new model, and the nonlinear system´s dynamic and steady-state performances is improved. The simulation results compared with the results by Linear Optimal Control indicate that this new STATCOM model and the nonlinear control law u presented in this paper are reasonable and effective.