A mean field game analysis of electric vehicles in the smart grid

Romain Couillet (1) , Samir Medina Perlaza (2) , Hamidou Tembine (3) , Mérouane Debbah (2)

1 SSEC - Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec
2 Chaire Radio Flexible - Chaire Radio Flexible Alcatel-Lucent/Supélec
3 E3S - Supélec Sciences des Systèmes

In this article, we develop a mean field game model for the economical analysis of the integration of purely electrical vehicles (EV) or electrical hybrid oil-electricity vehicles (PHEV) in the smart grid energy market. The framework we develop allows for a consistent analysis of the evolution of the price of electricity, of the timely demand, and possibly of the energy reserves in the grid, when EV or PHEV owners buy and sell electricity from their cars, selfishly but rationally, based on collective price incentives.

Domaines: Réseaux et télécommunications [cs.NI]

Romain Couillet, Samir Medina Perlaza, Hamidou Tembine, Mérouane Debbah. A mean field game analysis of electric vehicles in the smart grid. IEEE INFOCOM WKSHPS 2012, Mar 2012, Orlando, Florida, United States. pp.79 - 84, ⟨10.1109/INFCOMW.2012.6193523⟩. ⟨hal-00771211⟩