Abstract

The electricity price mechanism based on game theory is one of the research focuses on microgrids energy trading. The complete information game is based on the certainty of the identity of roles of players and variables. However, there are many uncertain factors that cause the game in the state of incomplete information. In this paper, Microgrids Energy Trading Bayesian Game (METBG) model is proposed. The model was based on the Bayesian game, in which MGs make their decision as an agent of native users to tackle bidirectional energy trading between others. First, The Bayesian game modeled types of roles of players by the uncertainty of information including the stochastic characteristics of PEVs which result in hardness that the game participants determine whether they are sellers or buyers in the utility function that depends on the state of power surplus or lack. Moreover, the utility model of players was established by a Bayesian game with the game equilibrium derived rigorously by obligated to coordinate the sharing of energy with maximization of the players' profit. Finally, the solution of game equilibrium has been rigorously derived, and the effectiveness of the model is verified in terms of seller profit, the utilities of buyers, and the net energy usage in the microgrids. The results of the static pricing model and proposed model were compared to demonstrate the effectiveness.

Highlights

  • Due to many benefits such as environment and economic cost, interests in electric vehicles (EVs) connecting to microgrids (MGs) have increased for the past few years [1]

  • EV batteries discharging to the microgrid have benefits which increase MGs stability and keep power balance for the randomly distributed generators (DG), such as photovoltaic (PV) and wind turbine (WT) system which do not belong to the controllable micro-source

  • Focused on the time-ofuse pricing system, this paper proposed Microgrid Energy Trading Bayesian Game (METBG) approach for residential MGs energy trading considering incomplete information of plug-in electric vehicles (PEVs)

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Summary

INTRODUCTION

Due to many benefits such as environment and economic cost, interests in electric vehicles (EVs) connecting to microgrids (MGs) have increased for the past few years [1]. With a large number of EVs( such as EV fleets) connected to microgrid for charging, more literatures have been focused on the random characteristics caused by the uncertainty of EV’s plug-in time and initial SOC which are the issues affect players’ roles in the twolevel Stackelberg game model. Focused on the time-ofuse pricing system, this paper proposed Microgrid Energy Trading Bayesian Game (METBG) approach for residential MGs energy trading considering incomplete information of PEVs. Compared to the previous works in which residential MGs scheduling and EV-based energy trading were studied separately, we jointly consider the energy trading between multi-microgrid with electric vehicle, and establishes the price trading mechanism between MGs sellers and buyers. The types of player and the probability distribution of the types are the two basic elements in Bayesian game

PLAYERS IN METBG
STRATEGY SETS IN METBG
UTILITY FUNCTIONS IN COMPLETE INFORMATION
UTILITY FUNCTIONS FOR BAYESIAN GAME
BAYESIAN NASH EQUILIBRIUM
DISTRIBUTION OF PLUGGING-IN AND PLUGGING-OUT TIMES
GAME EQUILIBRIUM SOLVING
RESULTS AND DISCUSSION
VIII. CONCLUSION
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