Modeling Populations of Thermostatic Loads with Switching Rate Actuation
Systems and Control
2015-01-27 v2
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.
Keywords
Cite
@article{arxiv.1411.2864,
title = {Modeling Populations of Thermostatic Loads with Switching Rate Actuation},
author = {Luminita Cristiana Totu and Rafael Wisniewski and John Leth},
journal= {arXiv preprint arXiv:1411.2864},
year = {2015}
}
Comments
In Proceedings HAS 2014, arXiv:1501.05405