| Title: |
Mean Field Control of Thermostatically Controlled Loads as Piecewise Deterministic Markov Processes |
| Authors: |
Corre, Thomas Le; Séguret, Adrien; Bušić, Ana |
| Contributors: |
Apprentissage, graphes et optimisation distribuée (ARGO); Département d'informatique - ENS-PSL (DI-ENS); École normale supérieure - Paris (ENS-PSL); Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS-PSL); Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Centre Inria de Paris; Institut National de Recherche en Informatique et en Automatique (Inria); Optimisation, Simulation, Risque et Statistiques pour les Marchés de l’Energie (EDF R&D OSIRIS); EDF R&D (EDF R&D); EDF – Électricité de France (EDF E.D.F. )-EDF – Électricité de France (EDF E.D.F. ); Laboratory of Information, Network and Communication Sciences (LINCS); Institut National de Recherche en Informatique et en Automatique (Inria)-Institut Mines-Télécom Paris (IMT)-Sorbonne Université (SU); ANR-22-PETA-0004,AI-NRGY,Distributed AI-based architecture of future energy systems integrating very large amounts of distributed sources(2022) |
| Source: |
https://hal.science/hal-05499491 ; 2026. |
| Publisher Information: |
CCSD |
| Publication Year: |
2026 |
| Subject Terms: |
[INFO]Computer Science [cs] |
| Description: |
International audience ; This paper presents a mean-field control approach for Piecewise Deterministic Markov Processes (PDMPs), specifically designed for controlling a large number of agents. By modeling the interactions of a large number of agents through an aggregate cost function, the proposed method mitigates the high dimensionality of the problem by focusing on a representative agent. The contribution of this work is the application of a PDMP-based mean-field control framework to the coordination of a large population of Thermostatically Controlled Loads (TCLs). Adapting this framework to TCLs requires incorporating a quality-of-service constraint ensuring that each agent's temperature remains within a specified comfort range. To achieve this, an additional jump intensity is introduced so that agents are very likely to switch between heating and cooling modes when they reach the boundaries of their temperature range. This extension to TCLs is demonstrated through Water Heaters (WHs) control, with a decentralized algorithm based on a dual formulation and stochastic gradient descent. The numerical results obtained illustrate this approach on two examples (signal tracking and taking into account energy price). |
| Document Type: |
report |
| Language: |
English |
| Relation: |
info:eu-repo/semantics/altIdentifier/arxiv/2511.01500; ARXIV: 2511.01500 |
| Availability: |
https://hal.science/hal-05499491 |
| Accession Number: |
edsbas.CCDAAD31 |
| Database: |
BASE |