A multi-resolution large population game framework for smart grid demand response management

Quanyan Zhu, Tamer Basar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Dynamic demand response (DR) management is becoming an integral part of power system and market operational practice. Motivated by the smart grid DR management problem, we propose a multi-resolution stochastic differential game-theoretic framework to model the players' intra-group and inter-group interactions in a large population regime. We study the game in both risk-neutral and risk-sensitive settings, and provide closed-form solutions for symmetric mean-field responses in the case of homogenous group population, and characterize the symmetric mean-field Nash equilibrium using the Hamilton-Jacobi-Bellman (HJB) equation together with the Fokker-Planck- Kolmogorov (FPK) equation. Finally, we apply the framework to the smart grid DR management problem and illustrate with a numerical example.

Original languageEnglish (US)
Title of host publicationInternational Conference on NETwork Games, Control and Optimization, NetGCooP 2011
StatePublished - 2011
EventInternational Conference on NETwork Games, Control and Optimization, NetGCooP 2011 - Paris, France
Duration: Oct 12 2011Oct 14 2011

Publication series

NameInternational Conference on NETwork Games, Control and Optimization, NetGCooP 2011

Other

OtherInternational Conference on NETwork Games, Control and Optimization, NetGCooP 2011
CountryFrance
CityParis
Period10/12/1110/14/11

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Human-Computer Interaction
  • Control and Systems Engineering

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