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Ensemble of Thermostatically Controlled Loads: Statistical Physics Approach.


ABSTRACT: Thermostatically controlled loads, e.g., air conditioners and heaters, are by far the most widespread consumers of electricity. Normally the devices are calibrated to provide the so-called bang-bang control - changing from on to off, and vice versa, depending on temperature. We considered aggregation of a large group of similar devices into a statistical ensemble, where the devices operate following the same dynamics, subject to stochastic perturbations and randomized, Poisson on/off switching policy. Using theoretical and computational tools of statistical physics, we analyzed how the ensemble relaxes to a stationary distribution and established a relationship between the relaxation and the statistics of the probability flux associated with devices' cycling in the mixed (discrete, switch

SUBMITTER: Chertkov M 

PROVIDER: S-EPMC5561189 | biostudies-literature | 2017 Aug

REPOSITORIES: biostudies-literature