Seminar IPCT “Shape and topology optimization of lithium-ion batteries”

Summary: In this talk I will discuss the geometric optimization of the separator in a lithium-ion battery, as well as the topology optimization of the porous electrodes, following the Doyle-Fuller-Newman model. For a general objective function, we compute its shape derivative (with respect to the interface position) and its parametric derivative (with respect to porosity) by means of the adjoint method. Our main numerical application is the maximization of the total electric energy during a discharge. Both cases of a fixed final time and a final time depending on the state of charge are examined. Our 2-d numerical implementation is performed in the finite element software FreeFEM with body-fitted meshes. This is a joint work with Richard Joly and Romain de Loubens.

Speaker: Grégoire Allaire, Centre de Mathématiques Appliquées, École Polytechnique, Institut Polytechnique de Paris, Palaiseau, Francia.