Groupe d’études et de recherche en analyse des décisions

Modeling the management of microgrid equipped with PV panels and battery; resolution using McKean forward-backward stochastic differential equations

Emmanuel Gobet École Polytechnique, France

We describe the mathematical modeling and the numerical resolution of the optimal management of the electricity consumption of a building equipped with solar panels and battery. The storage facilities help to smooth the load on the large grid. The optimal battery control is related to solving a McKean FBSDE. Some numerical experiments are supporting the study.


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