H_2/H_∞保性能控制理论在静止无功发生器控制中的应用

H-two/H-infinity cost-guaranteed control for the static synchronous compensator

利用H2/H∞保性能控制理论和直接反馈线性化,给出了单机无穷大系统中,具有参数摄动的静止无功发生器(STATCOM)的非线性控制模型.使用MATLAB软件得出H2/H∞保性能控制律,表示为线性矩阵不等式(LMI).在扰动及参数摄动的条件下进行了仿真.结果表明这种控制方法同时具有鲁棒性和最优性能,降低了单纯H∞控制方法的保守性,提高了电力系统的稳定性,并满足电压精度的要求.

By using H-two/H-infinity cost-guaranteed control theory and direct feedback linearization, we develop a nonlinear control model for the parameter-perturbed static synchronous compensator（STATCOM） in a one-machineinfinite-bus system. The H-two/H-infinity cost-guaranteed control law is obtained by using MATLAB, in terms of a linear matrix inequality（LMI）. Simulation of the control process is performed for the system with disturbance and parameter perturbation. Results show that the presented approach is robust and optimal in performance; the conservativeness of the pure H-infinity control approach is reduced; the stability of the power system is improved and the requirement of the voltage accuracy is satisfied