ORIGINAL ARTICLE LQR Optimum Control for Wind Energy Conversion system

ABSTRACT In this paper, a grid-connected wind energy converter system including a Matrix Converter (MC), a Squirrel-Cage Induction Generator (SCIG), a gear box and a horizontal axes wind turbine is proposed. An overall dynamical model for the proposed wind turbine system is considered. The dynamic behaviour of the model is investigated by simulating the response of the overall model to step changes in selected input variables. Moreover, a linear model of the system is developed at a typical operating point, and a LQR optimum control is designed for the system. The nonlinear and linear governing equations of the system are implemented using MATLAB. The obtained results show that the settling time of closed loop system using LQR step response is 0.002 sec., steady state error is zero and overshoot is zero too, which is highly acceptable for performance goals of this system