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Open AccessJournal ArticleDOI

Price of anarchy in electric vehicle charging control games: When Nash equilibria achieve social welfare

TLDR
In this paper, the authors considered the problem of optimal charging of plug-in electric vehicles (PEVs) as a multi-agent game, where vehicles/agents are heterogeneous since they are subject to possibly different constraints.
About
This article is published in Automatica.The article was published on 2018-10-01 and is currently open access. It has received 34 citations till now. The article focuses on the topics: Price of anarchy & Nash equilibrium.

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Citations
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Proceedings ArticleDOI

Optimal Coordination of Electric Vehicles for Voltage Support in Distribution Networks

TL;DR: In this article , an optimisation-based coordination framework for EV charging/discharging for voltage support in distribution networks is proposed based on model predictive control (MPC), and includes reactive/active power management, as well as EV behaviour modelling.
Journal ArticleDOI

Learning in Potential Games for Electric Power Grids: Models, Dynamics, and Outlook

- 01 Sep 2022 - 
TL;DR: In this article , the authors summarized the state-of-the-art existing literature on applying various potential games (PG) models in power grids and provided an overlook of potential models and algorithms that have not received sufficient attention but possess unique capabilities to solve existing challenges in power grid.
Journal ArticleDOI

Optimal Coordination of Electric Vehicles for Voltage Support in Distribution Networks

TL;DR: In this paper , an optimisation-based coordination framework for EV charging/discharging for voltage support in distribution networks is proposed based on model predictive control (MPC), and includes reactive/active power management, as well as EV behaviour modelling.
Journal ArticleDOI

On the probabilistic feasibility of solutions in multi-agent optimization problems under uncertainty

TL;DR: In this paper, the authors investigate the probabilistic feasibility of randomized solutions to two distinct classes of uncertain multi-agent optimization programs and provide agent-independent robustness certificates for the optimal solution, i.e., the constructed bound on the probability of constraint violation does not depend on the number of agents, but only on the dimension of each agent's decision space.
References
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Book

Parallel and Distributed Computation: Numerical Methods

TL;DR: This work discusses parallel and distributed architectures, complexity measures, and communication and synchronization issues, and it presents both Jacobi and Gauss-Seidel iterations, which serve as algorithms of reference for many of the computational approaches addressed later.
Book ChapterDOI

Existence of an equilibrium for a competitive economy

Kenneth J. Arrow, +1 more
- 01 Jul 1954 - 
TL;DR: In this article, a simplification of the structure of the proofs has been made possible through use of the concept of an abstract economy, a generalization of that of a game, and proofs of the existence of an equilibrium are given for an integrated model of production, exchange and consumption.
Journal ArticleDOI

Mean Field Games

TL;DR: In this paper, the authors present three examples of the mean-field approach to modelling in economics and finance (or other related subjects) and show that these nonlinear problems are essentially well-posed problems with unique solutions.
Journal ArticleDOI

Worst-case equilibria

TL;DR: In this paper, the authors propose the price of anarchy, which is the ratio between the worst possible Nash equilibrium and the social optimum, as a measure of the effectiveness of the system.
Journal ArticleDOI

Achieving Controllability of Electric Loads

TL;DR: Conceptual frameworks for actively involving highly distributed loads in power system control actions and some of the challenges to achieving a load control scheme that balances device- level objectives with power system-level objectives are discussed.
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