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Modeling populations of electric hot water tanks with Fokker-Planck equations

Abstract : This article proposes a distributed parameters model for a pool of electric hot water tanks (EHWT). EHWT are electric appliances found in numerous homes where they produce hot water for domestic usages. Designing smart piloting for them requires a careful description of several variables of interest and their dynamics. When the number of such devices is large, these dynamics can be lumped into Fokker-Planck equations. In this case, these equations are driven by in-domain control which defines the heating policies in a stochastic manner. The main contribution of this article is the Fokker-Planck model of a pool of EHWT.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01444226
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Submitted on : Monday, January 23, 2017 - 5:44:37 PM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM
Long-term archiving on: : Monday, April 24, 2017 - 3:27:24 PM

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Nathanael Beeker, Paul Malisani, Nicolas Petit. Modeling populations of electric hot water tanks with Fokker-Planck equations. 2nd IFAC Workshop on Control of systems Governed by Partial Differential Equations, CPDE 2016, Jun 2016, Bertinoro, Italy. pp.66 - 73, ⟨10.1016/j.ifacol.2016.07.420⟩. ⟨hal-01444226⟩

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