Modeling Populations of Thermostatic Loads with Switching Rate Actuation

Luminita Cristiana Totu; Rafael Wisniewski; John Leth

doi:10.4204/eptcs.174.2

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arXiv · 1411.2864

Modeling Populations of Thermostatic Loads with Switching Rate Actuation

Luminita Cristiana Totu·Rafael Wisniewski·John Leth

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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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Luminita Cristiana Totu, Rafael Wisniewski, John Leth. 2014-11-11. Modeling Populations of Thermostatic Loads with Switching Rate Actuation. https://doi.org/10.4204/eptcs.174.2

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