Mean-Field Games and Dynamic Demand Management in Power Grids

被引:0
作者
Fabio Bagagiolo
Dario Bauso
机构
[1] Università di Trento,Dipartimento di Matematica
[2] Università di Palermo,DICGIM
[3] University of Oxford,Department of Engineering Science
来源
Dynamic Games and Applications | 2014年 / 4卷
关键词
Mean field games; Dynamic demand management; Viscosity solutions; Distributional solutions;
D O I
暂无
中图分类号
学科分类号
摘要
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.
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页码:155 / 176
页数:21
相关论文
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