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Analysis and Implementation of a Hourly Billing Mechanism for Demand Response Management

Abstract : An important part of the Smart Grid literature on residential Demand Response deals with game-theoretic consumption models. Among those papers, the hourly billing model is of special interest as an intuitive and fair mechanism. We focus on this model and answer to several theoretical and practical questions. First, we prove the uniqueness of the consumption profile corresponding to the Nash equilibrium, and we analyze its efficiency by providing a bound on the Price of Anarchy. Next, we address the computational issue of the equilibrium profile by providing two algorithms: the cycling best response dynamics and a projected gradient descent method, and by giving an upper bound on their convergence rate to the equilibrium. Last, we simulate this demand response framework in a stochastic environment where the parameters depend on forecasts. We show numerically the relevance of an online demand response procedure, which reduces the impact of inaccurate forecasts.
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Contributor : Stephane Gaubert Connect in order to contact the contributor
Submitted on : Thursday, January 4, 2018 - 5:30:55 PM
Last modification on : Friday, February 4, 2022 - 3:09:16 AM

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Paulin Jacquot, Olivier Beaude, Stéphane Gaubert, Nadia Oudjane. Analysis and Implementation of a Hourly Billing Mechanism for Demand Response Management. IEEE Transactions on Smart Grid, Institute of Electrical and Electronics Engineers, 2018, ⟨10.1109/TSG.2018.2855041⟩. ⟨hal-01675692⟩



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