Analytical and Stochastic Modelling of Battery Cell Dynamics
- Al-Begain, K., Fiems, D., Vincent, JM. (eds) Analytical and Stochastic Modeling Techniques and Applications. ASMTA 2012 , 7314 : 240-254
Résumé
In this work we present and discuss a modelling framework for the basic discharge process which occurs in simple electrochemical battery cells. The main purpose is to provide a setting for analyzing delivered capacity, battery life expectancy and other measures of performance. This includes a number of deterministic and stochastic variations of kinetic battery models. The primary tool is a novel phase plane analysis of the balance of nominal and theoretical capacity. In particular, we study spatial versions of such models which lead to a linear diffusion equation with Robin type boundary conditions under scaling. Explicit solutions are obtained by considering reflected Brownian motion.
Mots-clés
Phase plane, Theoretical Capacity, Terminal Voltage, Nominal Capacity, Battery Model