Title :
A mean field game analysis of electric vehicles in the smart grid
Author :
Couillet, Romain ; Perlaza, Samir Medina ; Tembine, Hamidou ; Debbah, Mérouane
Author_Institution :
Supelec, Gif-sur-Yvette, France
Abstract :
In this article, we present an economical analysis of the integration of purely electrical vehicles (EV) in the smart grid energy market using tools from mean field game theory. Our main contribution consist in a formal description of the mean field equilibrium of the resulting competitive interaction when EV owners buy and sell electricity from their cars, selfishly but rationally, based on collective price incentives. We present a comprehensive set of numerical results, which allows a consistent analysis of the evolution of the price of electricity, of the timely demand, and possibly of the energy reserves in the grid.
Keywords :
automobiles; electric vehicles; game theory; numerical analysis; power markets; pricing; smart power grids; EV owners; buy electricity; cars; collective price incentives; competitive interaction; economical analysis; formal description; mean field equilibrium; mean field game theory; numerical results; purely electrical vehicles; sell electricity; smart grid energy market; timely demand; Batteries; Electricity; Energy consumption; Equations; Games; Mathematical model; Vehicles;
Conference_Titel :
Computer Communications Workshops (INFOCOM WKSHPS), 2012 IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-4673-1016-1
DOI :
10.1109/INFCOMW.2012.6193523