عنوان مقاله [English]
In addition to all the advantages of renewable energies, their use in the form of wind turbines and solar cells in power grids to provide the required power can be considered a negative factor from the point of view of stability in power systems. The main aim of this paper is design of wide-area damping controller (WADC) in converter of battery energy storage system connected to renewable energy sources including photovoltaic and permanent magnet synchronous generator (PMSG) in large-scale power system. The proposed approach is based on Free-Weighting Matrices(FWM). At first, by using optimal control theory based on delay-dependent feedback, a set of constraints related to linear matrix inequality(LMI) are formulated. Then, for obtaining parameters of optimal control that can tolerate maximum time delay, the FWM approach is employed to solve time dependent on the time delay. In this regard, an iterative algorithm based on conical complement linearization has been also presented to search for parameters of optimal control. Finally, non-linear simulation is implemented on 5-area 16-machine power system in MATLAB. The simulation results clearly demonstrate the desirability of the proposed controller under existing uncertainties.