Modeling Populations of Thermostatic Loads with Switching Rate Actuation

Luminita Cristiana Totu
(Automation and Control, Aalborg University)
Rafael Wisniewski
(Automation and Control, Aalborg University)
John Leth
(Automation and Control, Aalborg University)

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.

In Manuela Bujorianu and Rafael Wisniewski: Proceedings 4th Workshop on Hybrid Autonomous Systems (HAS 2014), Grenoble, France, 12-13 April 2014, Electronic Proceedings in Theoretical Computer Science 174, pp. 13–21.
Published: 22nd January 2015.

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