Coordinating Distributed Energy Resources with Nodal Pricing in Distribution Networks: a Game-Theoretic Approach

Fuente: arXiv
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Hauptverfasser: Brock, Eli, Li, Jingqi, Lavaei, Javad, Sojoudi, Somayeh
Format: Preprint
Veröffentlicht: 2025
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author Brock, Eli
Li, Jingqi
Lavaei, Javad
Sojoudi, Somayeh
author_facet Brock, Eli
Li, Jingqi
Lavaei, Javad
Sojoudi, Somayeh
contents We propose a real-time nodal pricing mechanism for cost minimization and voltage control in a distribution network with autonomous distributed energy resources and analyze the resulting market using stochastic game theory. Unlike existing methods, the proposed pricing scheme does not require device-aware centralized coordination or communication between prosumers. By developing new sufficient conditions under which a stochastic game is a Markov potential game, we show that the problem of computing an equilibrium for the proposed model is equivalent to solving a single-agent Markov Decision Process. These new conditions are general and may apply to other applications. We compute the equilibrium for an IEEE test system to empirically demonstrate the effectiveness of the pricing policy.
format Preprint
id arxiv_https___arxiv_org_abs_2503_24342
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Coordinating Distributed Energy Resources with Nodal Pricing in Distribution Networks: a Game-Theoretic Approach
Brock, Eli
Li, Jingqi
Lavaei, Javad
Sojoudi, Somayeh
Systems and Control
We propose a real-time nodal pricing mechanism for cost minimization and voltage control in a distribution network with autonomous distributed energy resources and analyze the resulting market using stochastic game theory. Unlike existing methods, the proposed pricing scheme does not require device-aware centralized coordination or communication between prosumers. By developing new sufficient conditions under which a stochastic game is a Markov potential game, we show that the problem of computing an equilibrium for the proposed model is equivalent to solving a single-agent Markov Decision Process. These new conditions are general and may apply to other applications. We compute the equilibrium for an IEEE test system to empirically demonstrate the effectiveness of the pricing policy.
title Coordinating Distributed Energy Resources with Nodal Pricing in Distribution Networks: a Game-Theoretic Approach
topic Systems and Control
url https://arxiv.org/abs/2503.24342