Application of Impulse Control in Smart Grid Price System

With the development of smart grid, flexible and interactive electricity market will finally emerge. Making full use of price can encourage consumers to use electricity during a low load period and reduce peak load, thus to guarantee electricity market stability. Impulse control is applied to price system in this paper. It is found that giving impulse control to price system can make the system reach stable state well, which is based on the theory of impulsive differential system. The sufficient condition for stable system and the max upper bound of impulse interval are also provided. The proposed method is proved to be feasible and effective by theoretically analysis and numerical simulation.