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Modeling Populations of Thermostatic Loads with Switching Rate Actuation (1411.2864v2)
Published 11 Nov 2014 in cs.SY
Abstract: We model thermostatic devices using a stochastic hybrid description, and introduce an external actuation mechanism that creates random switch events in the discrete dynamics. We then conjecture the form of the Fokker-Planck equation and successfully verify it numerically using Monte Carlo simulations. The actuation mechanism and subsequent modeling result are relevant for power system operation.
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