A Mean-Field Game Method for Decentralized Charging Coordination of a Large Population of Plug-in Electric Vehicles
| Autor: | Hamed Kebriaei, Mohammad Amin Tajeddini |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Mathematical optimization
education.field_of_study 021103 operations research Computer Networks and Communications Control (management) Population 0211 other engineering and technologies Large population 02 engineering and technology Mean field game computer.software_genre Computer Science Applications Term (time) Control and Systems Engineering Convergence (routing) Plug-in Electrical and Electronic Engineering education computer Information exchange Information Systems |
| Zdroj: | IEEE Systems Journal. 13:854-863 |
| ISSN: | 2373-7816 1932-8184 |
| Popis: | This paper develops a decentralized competitive charging coordination algorithm for a large population of plug-in electric vehicles (PEVs) using the concept of a mean-field (MF) game. The aim of each PEV is to find its optimal charging strategy by minimizing an objective function consisting of charging cost, battery degradation cost, and benefit from charging, subject to the input and state constraints. The strategy of a PEV affects the objective functions of other PEVs through the electricity price, and therefore, we can model the interactions among PEVs as a game problem. No information exchange is considered among the PEVs. Each PEV only sends its own control action value to a population coordinator, and the coordinator just broadcasts a common signal to all the PEVs. This common signal is an estimate of the average control actions of PEVs and is called the MF term. Utilizing an adjustment mechanism for the MF term, a decentralized MF-optimal control algorithm is proposed, and it is shown that the algorithm converges to the $\varepsilon _N$ -Nash equilibrium point of the game, with $\varepsilon _N$ uniformly converging to zero as the population sizes of the PEVs go to infinity. Simulation results and comparison with other methods are performed to clarify the advantages of the proposed method. |
| Databáze: | OpenAIRE |
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