Analytical and stochastic modeling of battery cell dynamics
2012 (English)In: Analytical and Stochastic Modeling Techniques and Applications: 19th International Conference, ASMTA 2012, Grenoble, France, June 4-6, 2012, Proceedings / [ed] K. Al-Begain, D. Fiems, and J.-M. Vincent (Eds.), Berlin Heidelberg: Springer Berlin/Heidelberg, 2012, 240-254 p.Conference paper (Refereed)
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.
Place, publisher, year, edition, pages
Berlin Heidelberg: Springer Berlin/Heidelberg, 2012. 240-254 p.
, Lecture Notes in Computer Science, ISSN 0302-9743 ; Vol 7314
Research subject Mathematics with specialization in Applied Mathematics; Electrical Engineering with specialization in Systems Analysis
IdentifiersURN: urn:nbn:se:uu:diva-214067DOI: 10.1007/978-3-642-30782-9_17ISI: 12789078ISBN: 978-3-642-30781-2ISBN: 978-3-642-30782-9OAI: oai:DiVA.org:uu-214067DiVA: diva2:683920
19th International Conference; ASMTA 2012; Grenoble, France; June 4-6, 2012