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Distributed Reinforcement Learning for the Management of a Smart Grid Interconnecting Independent Prosumers

Author

Listed:
  • Dominique Barth

    (DAVID Laboratory, UVSQ/Université Paris-Saclay, 45 Avenue des Etats Unis, 78035 Versailles, France
    These authors contributed equally to this work.)

  • Benjamin Cohen-Boulakia

    (LINEACT, CESI, 92000 Nanterre, France
    These authors contributed equally to this work.)

  • Wilfried Ehounou

    (LINEACT, CESI, 92000 Nanterre, France
    Laboratoire de Mathématiques Informatique, Université Nangui Abrogoua, Abidjan 02 BP V 102, Côte d’Ivoire
    These authors contributed equally to this work.)

Abstract

In the context of an eco-responsible production and distribution of electrical energy at the local scale of an urban territory, we consider a smart grid as a system interconnecting different prosumers, which all retain their decision-making autonomy and defend their own interests in a comprehensive system where the rules, accepted by all, encourage virtuous behavior. In this paper, we present and analyze a model and a management method for smart grids that is shared between different kinds of independent actors, who respect their own interests, and that encourages each actor to behavior that allows, as much as possible, an energy independence of the smart grid from external energy suppliers. We consider here a game theory model, in which each actor of the smart grid is a player, and we investigate distributed machine-learning algorithms to allow decision-making, thus, leading the game to converge to stable situations, in particular to a Nash equilibrium. We propose a Linear Reward Inaction algorithm that achieves Nash equilibria most of the time, both for a single time slot and across time, allowing the smart grid to maximize its energy independence from external energy suppliers.

Suggested Citation

  • Dominique Barth & Benjamin Cohen-Boulakia & Wilfried Ehounou, 2022. "Distributed Reinforcement Learning for the Management of a Smart Grid Interconnecting Independent Prosumers," Energies, MDPI, vol. 15(4), pages 1-19, February.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:4:p:1440-:d:750803
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    References listed on IDEAS

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    1. Iver Bakken Sperstad & Magnus Korpås, 2019. "Energy Storage Scheduling in Distribution Systems Considering Wind and Photovoltaic Generation Uncertainties," Energies, MDPI, vol. 12(7), pages 1-24, March.
    2. Mohamadou Nassourou & Joaquim Blesa & Vicenç Puig, 2020. "Robust Economic Model Predictive Control Based on a Zonotope and Local Feedback Controller for Energy Dispatch in Smart-Grids Considering Demand Uncertainty," Energies, MDPI, vol. 13(3), pages 1-19, February.
    3. Chien, Steve & Sinclair, Alistair, 2011. "Convergence to approximate Nash equilibria in congestion games," Games and Economic Behavior, Elsevier, vol. 71(2), pages 315-327, March.
    4. Sylvain Cros & Jordi Badosa & André Szantaï & Martial Haeffelin, 2020. "Reliability Predictors for Solar Irradiance Satellite-Based Forecast," Energies, MDPI, vol. 13(21), pages 1-21, October.
    5. Milchtaich, Igal, 1996. "Congestion Games with Player-Specific Payoff Functions," Games and Economic Behavior, Elsevier, vol. 13(1), pages 111-124, March.
    6. Lu, Renzhi & Hong, Seung Ho, 2019. "Incentive-based demand response for smart grid with reinforcement learning and deep neural network," Applied Energy, Elsevier, vol. 236(C), pages 937-949.
    7. Calvillo, C.F. & Sánchez-Miralles, A. & Villar, J., 2016. "Energy management and planning in smart cities," Renewable and Sustainable Energy Reviews, Elsevier, vol. 55(C), pages 273-287.
    8. Ri Piao & Deok-Joo Lee & Taegu Kim, 2020. "Real-Time Pricing Scheme in Smart Grid Considering Time Preference: Game Theoretic Approach," Energies, MDPI, vol. 13(22), pages 1-19, November.
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    Cited by:

    1. Omar Al-Ani & Sanjoy Das, 2022. "Reinforcement Learning: Theory and Applications in HEMS," Energies, MDPI, vol. 15(17), pages 1-37, September.

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