Decentralized congestion management in stochastic electric power markets with PHEV penetration

In this paper, we have proposed a congestion management scheme for smart grid infrastructures to control the power absorption from the grid in the presence of PHEVs connected to the distribution network. The decentralized solution that we have developed is based on game theory and is demonstrated to converge in a finite number of steps to a pure Nash equilibrium solution. This approach is implemented for managing the power absorbed from the grid and thereby the power bought from the grid through auctions taking place in a stochastic power and energy market. Various test cases have been developed based on the agents´ strategies and also on the charging time and duration of PHEVs. The proposed approach was validated using these test cases, which were implemented in a multi agent framework.