Total cost minimization in smart grids with unknown objective function

Smart grids are complex, nonlinear and uncertain systems. Smart grids may consist of one or more cost functions, in which their optimal values have to be obtained. Moreover. In these systems the optimal condition has to be find with small computation burden, high accuracy, and relatively fast in real time. In this paper, a novel approach is proposed to find the minimum value of the total cost for the energy consumption in smart grids, in which the total cost is considered as uncertain objective function. The advantages of this technique are its stability, fast convergence, insensitivity with respect to initial condition and real time implementation. Some simulation results are provided to show the effectiveness of the proposed approach.