Description du sujet de thèse

The system of electricity production (and consumption) is undergoing a profound transformation, driven by two factors whose impact will increase significantly over the coming decades. On the one hand, there is the growing share of intermittent sources (solar, wind) in the energy mix and, on the other hand, technological advances that will enable better control of the use of electrical appliances in households. Adapting this intermittent production to consumption will be one of the main challenges of the energy transition in the coming decades.

During this PhD, this challenge will be addressed through an approach based on game theory. The large number of agents structured in a complex network means that such a “multi-player game” cannot be approached by brute force, which naturally implies the use of a mean field approximation. The objective of the PhD will therefore be to provide a mean field game description of the coordination of electrical energy in the context of intermittent production.

Contexte de travail

The thesis will be carried out under the joint supervision of Denis Ullmo (LPTMS) and Cosimo Gorini (SPEC/CEA), and within a larger team of researchers and research professors from these laboratories and the IJCLab.

Contraintes et risques

NA