Iterative adaptive dynamic programming approach to power optimal control for smart grid with energy storage devices

The smart grid is a new generation of power grids, and also the common choice of the international power industry. This paper aims to establish a new adaptive optimal control theory and a set of methods based on adaptive dynamic programming(ADP) for a smart grid with energy storage devices. The intelligent interactions between the power generation side and the clients can be finally achieved to create a new way of optimal matching of the supply and demand for the smart grid. First, the optimality principle of dynamic programming for the grid with energy storage devices is given, and optimization objective is then presented. Then a new iterative adaptive dynamic programming method is developed to achieve the optimal control of energy storage devices, and convergence of the adaptive dynamic programming method is also proved. Finally, a simulation example is given to show the effectiveness of the method.