Mathematical modelling of lithium ion batteries

Laura Keane
Thursday, July 14 at 4 pm
Ross N638

In recent years there has been an increase in the demand for renewable energy sources for energy storage, to combat climate change, and to reduce reliance on diminishing resources of fossil fuels. One popular source has been rechargeable batteries such as lithium-ion batteries (LIBs). LIBs have many advantages, but there are still a number of problems that need to be addressed before we move toward a battery powered society.

In this talk we will discuss how LIBS work, some of the problems that need to be addressed, and how mathematics can be used to model them. In particular, we will discuss modelling solid state electrolytes. Solid electrolytes are a relatively new material in the field of lithium-ion batteries, therefore there is considerably less mathematical investigation and analysis into these materials, compared with their liquid counterparts.

I will discuss modelling from thermodynamics principles, non dimensionalisation, and both numerical and asymptotic analysis.