Mean Field Control for Efficient Mixing of Energy Loads

Autor:	Métivier, David, Chertkov, Michael
Rok vydání:	2018
Předmět:	Electrical Engineering and Systems Science - Systems and Control Condensed Matter - Statistical Mechanics Nonlinear Sciences - Adaptation and Self-Organizing Systems Physics - Physics and Society
Zdroj:	Phys. Rev. E 101, 022115 (2020)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.101.022115
Popis:	We pose an engineering challenge of controlling an Ensemble of Energy Devices via coordinated, implementation-light and randomized on/off switching as a problem in Non-Equilibrium Statistical Mechanics. We show that Mean Field Control} with nonlinear feedback on the cumulative consumption, assumed available to the aggregator via direct physical measurements of the energy flow, allows the ensemble to recover from its use in the Demand Response regime, i.e. transition to a statistical steady state, significantly faster than in the case of the fixed feedback. Moreover when the nonlinearity is sufficiently strong, one observes the phenomenon of "super-relaxation" -- where the total instantaneous energy consumption of the ensemble transitions to the steady state much faster than the underlying probability distribution of the devices over their state space, while also leaving almost no devices outside of the comfort zone. Comment: 7 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1810.00450 Zobrazit plný text záznamu View this record from Arxiv