Modeling Populations of Thermostatic Loads with Switching Rate Actuation

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.

arXiv commentIn Proceedings HAS 2014, arXiv:1501.05405