A fully backward representation of semilinear PDEs applied to the control of thermostatic loads in power systems - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Monte Carlo Methods and Applications Année : 2021

A fully backward representation of semilinear PDEs applied to the control of thermostatic loads in power systems

Nadia Oudjane
  • Fonction : Auteur
  • PersonId : 832229

Résumé

We propose a fully backward representation of semilinear PDEs with application to stochastic control. Based on this, we develop a fully backward Monte-Carlo scheme allowing to generate the regression grid, backwardly in time, as the value function is computed. This offers two key advantages in terms of computational efficiency and memory. First, the grid is generated adaptively in the areas of interest and second, there is no need to store the entire grid. The performances of this technique are compared in simulations to the traditional Monte-Carlo forward-backward approach on a control problem of thermostatic loads.
Fichier principal
Vignette du fichier
IOR_ControlRevision_September2021.pdf (383.28 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03210302 , version 1 (27-04-2021)
hal-03210302 , version 2 (27-09-2021)

Identifiants

Citer

Lucas Izydorczyk, Nadia Oudjane, Francesco Russo. A fully backward representation of semilinear PDEs applied to the control of thermostatic loads in power systems. Monte Carlo Methods and Applications, 2021, 27 (4), pp.347-371. ⟨10.1515/mcma-2021-2095⟩. ⟨hal-03210302v2⟩
84 Consultations
85 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More