Control of microgrids using a differential game theoretic framework

A microgrid is an example of a small-scale power system. Such a system is of particular interest when considering networked electrical power systems with renewable sources. Microgrids are inherently different from the traditional power grid and thus require new control techniques. In this paper DC microgrid systems in which there are several controllable loads, which we refer to as players, are considered. The problem of reaching and maintaining a nominal operating condition while minimising the control efforts of each player is formulated as a differential game. Since closed-form solutions to differential games are usually not readily obtained, a systematic method of constructing approximate solutions is presented.