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. |
ArXived at: https://dx.doi.org/10.4204/EPTCS.174.2 | bibtex | |
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