Abstract

Electric vehicles (EVs) provide environmentally friendly transport and they are considered to be an important component of distributed and mobile electric energy storage and supply system. It is possible that EVs can be used to store and transport energy from one geographical area to another as a supportive energy supply. Electricity consumption management should consider carefully the inclusion of EVs. One critical challenge in the consumption management for EVs is the optimization of battery charging. This paper provides a dynamic game theoretic optimization framework to formulate the optimal charging problem. The optimization considers a charging scenario where a large number of EVs charge simultaneously during a flexible period of time. Based on stochastic mean field game theory, the optimization will provide an optimal charging strategy for the EVs to proactively control their charging speed in order to minimize the cost of charging. Numerical results are presented to demonstrate the performance of the proposed framework.

Highlights

  • The future electric power generation and supply system which is recognised as smart grids, is expected to bring significant benefits to energy generation and dispatch

  • As Electric vehicles (EVs) will eventually be employed at household level, as alternative to traditional petrol cars, it is necessary to include them into home electricity demand management and consumption optimisation [5]

  • Considering that the EVs are aggregated in the station, data communications take place at a short distance through wireless sensor networks embedded in the EVs

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Summary

A Mean Field Game Theoretic Approach to Electric Vehicles Charging

ZIMING ZHU1, (Member, IEEE), SANGARAPILLAI LAMBOTHARAN2, (Senior Member, IEEE), WOON HAU CHIN1, (Senior Member, IEEE), AND ZHONG FAN1.

INTRODUCTION
THE GAME THEORETIC OPTIMISATION FRAMEWORK
OPTIMISATION COSTS
DYNAMIC EV CHARGING PROCESS
K -PERSON GAME THEORETIC FORMULATION
MEAN FIELD GAME REPRESENTATION
THE COUPLED STOCHASTIC PARTIAL
EXISTENCE AND UNIQUENESS OF THE MFE
CONCLUSION
Full Text
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