A new LMI representation of LQR based voltage control of grid-connected wind farm

As the penetration of wind energy and the size of modern wind farms continue to increase, the voltage control at a specified remote location becomes increasingly important for stable and reliable operation of electric grid. This paper presents a new voltage control scheme that is based on the linear quadratic regulator (LQR) controller formulated as a linear matrix inequality (LMI) problem. The main advantage of using the LMI-based approach is that it is readily applicable for robust tuning considering a range of operating conditions. A candidate wind farm site on Vancouver Island, Canada, is considered. The proposed controller and its design methodology are shown to be very effective for the systems with multiple wind turbines as well as readily applicable to larger wind farms of different configurations