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Dynamic Games and Applications
Erschienen in: Dynamic Games and Applications 2/2014

01.06.2014

Mean-Field Games and Dynamic Demand Management in Power Grids

verfasst von: Fabio Bagagiolo, Dario Bauso

Erschienen in: Dynamic Games and Applications | Ausgabe 2/2014

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Abstract

This paper applies mean-field game theory to dynamic demand management. For a large population of electrical heating or cooling appliances (called agents), we provide a mean-field game that guarantees desynchronization of the agents thus improving the power network resilience. Second, for the game at hand, we exhibit a mean-field equilibrium, where each agent adopts a bang-bang switching control with threshold placed at a nominal temperature. At equilibrium, through an opportune design of the terminal penalty, the switching control regulates the mean temperature (computed over the population) and the mains frequency around the nominal value. To overcome Zeno phenomena we also adjust the bang-bang control by introducing a thermostat. Third, we show that the equilibrium is stable in the sense that all agents’ states, initially at different values, converge to the equilibrium value or remain confined within a given interval for an opportune initial distribution.
Vorheriger Artikel Mean Field Games Models—A Brief Survey
Nächster Artikel On the Efficiency of Equilibria in Mean-Field Oscillator Games

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Metadaten
Titel
Mean-Field Games and Dynamic Demand Management in Power Grids
verfasst von
Fabio Bagagiolo
Dario Bauso
Publikationsdatum
01.06.2014
Verlag
Springer US
Erschienen in
Dynamic Games and Applications / Ausgabe 2/2014
Print ISSN: 2153-0785
Elektronische ISSN: 2153-0793
DOI
https://doi.org/10.1007/s13235-013-0097-4

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