Abstract
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.
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Kaj, I., Konané, V. (2012). Analytical and Stochastic Modelling of Battery Cell Dynamics. In: Al-Begain, K., Fiems, D., Vincent, JM. (eds) Analytical and Stochastic Modeling Techniques and Applications. ASMTA 2012. Lecture Notes in Computer Science, vol 7314. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30782-9_17
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DOI: https://doi.org/10.1007/978-3-642-30782-9_17
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