Mathematical Modeling of Transport Phenomena in Electrochemical Energy Storage Systems

Abstract

This work focuses on formulating models for electrochemical energy storage devices, specifically for lithium-ion batteries and electrochemical capacitors, for which reduced model formulations are proposed to lower the computational cost as part of fundamental research; secure guidelines for design of thermal management systems for battery packs and supercapacitor packs, as part of applied research. The mathematical model for the transport inside these devices accounts for the transient conservation of species, charge and energy in the solid and the liquid phases based on porous electrode theory. These models are reduced in dimensions as well as physics by capturing only the leading order phenomena through scaling analysis. The reduced models are found to have good agreement with the full model. A technique known as automated model generation is developed to automatically build models for battery packs and supercapacitor stacks, that could help in various parametric and perturbation studies to optimize their design.