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

06 16 Category : Applicative | All

**Authors:**N. Beeker, P. Malisani, N. Petit, 2nd IFAC Workshop on Control of systems Governed by Partial Differential Equations, CPDE 2016, pp. 66-73, June 13-15, 2016, Bertinoro, DOI: 10.1016/j.ifacol.2016.07.420

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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**BibTeX**

@Proceedings{2017-01-23,

author = {N. Beeker, P. Malisani, N. Petit},

editor = {},

title = {Modeling populations of electric hot water tanks with Fokker-Planck equations},

booktitle = {2nd IFAC Workshop on Control of systems Governed by Partial Differential Equations, CPDE 2016},

volume = {},

publisher = {},

address = {Bertinoro},

pages = {66-73},

year = {2016},

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.},

keywords = {Water heating, Electric Hot Water Tank, Smart piloting, Fokker-Planck equation}}