Modeling populations of electric hot water tanks with Fokker-Planck equations
| Autor: | Paul Malisani, Nathanael Beeker, Nicolas Petit |
|---|---|
| Přispěvatelé: | Centre Automatique et Systèmes (CAS), MINES ParisTech - École nationale supérieure des mines de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL), Energie dans les Bâtiments et les Territoires (EDF R&D ENERBAT), EDF R&D (EDF R&D), EDF (EDF)-EDF (EDF) |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Water heating
Engineering business.industry Electric Hot Water Tank 020209 energy 020208 electrical & electronic engineering Fokker-Planck equation Control engineering 02 engineering and technology Mechanics 7. Clean energy [SPI.AUTO]Engineering Sciences [physics]/Automatic Control and Systems Engineering 0202 electrical engineering electronic engineering information engineering Fokker–Planck equation Smart piloting Water tanks business |
| Zdroj: | 2nd IFAC Workshop on Control of systems Governed by Partial Differential Equations, CPDE 2016 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⟩ |
| DOI: | 10.1016/j.ifacol.2016.07.420⟩ |
| Popis: | International audience; 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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