Electrical Vehicles in the Smart Grid: A Mean Field Game Analysis
arXiv:1110.1732 · doi:10.1109/JSAC.2012.120707
Abstract
In this article, we investigate the competitive interaction between electrical vehicles or hybrid oil-electricity vehicles in a Cournot market consisting of electricity transactions to or from an underlying electricity distribution network. We provide a mean field game formulation for this competition, and introduce the set of fundamental differential equations ruling the behavior of the vehicles at the feedback Nash equilibrium, referred here to as the mean field equilibrium. This framework allows for a consistent analysis of the evolution of the price of electricity as well as of the instantaneous electricity demand in the power grid. Simulations precisely quantify those parameters and suggest that significant reduction of the daily electricity peak demand can be achieved by appropriate electricity pricing.
submitted to IEEE Journal on Selected Areas in Communications: Smart Grid Communications Series
References in corpus (1)
Cited by in corpus (15)
- Stochastic Dynamic Pricing for EV Charging Stations with Renewables Integration and Energy Storage
- Ancillary Service to the Grid Using Intelligent Deferrable Loads
- Dynamic driving and routing games for autonomous vehicles on networks: A mean field game approach
- A Game-Theoretic Framework for Autonomous Vehicles Velocity Control: Bridging Microscopic Differential Games and Macroscopic Mean Field Games
- Individual risk in mean-field control models for decentralized control, with application to automated demand response
- A mean-field game approach to price formation in electricity markets
- Schrödinger Approach to Optimal Control of Large-Size Populations
- A game-theoretic approach to dynamic demand response management
- Passive Dynamics in Mean Field Control
- Massive UAV-to-Ground Communication and its Stable Movement Control: A Mean-Field Approach
- Mean-Field Game Theoretic Edge Caching in Ultra-Dense Networks
- Towards a Consumer-Centric Grid: A Behavioral Perspective
- Social Optima in Leader-Follower Mean Field Linear Quadratic Control
- Linear quadratic mean field games with a major player: The multi-scale approach
- Generalized conditional gradient and learning in potential mean field games