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Analytical and stochastic modeling of battery cell dynamics
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics. (Analysis and Probability)
Uppsala University, Disciplinary Domain of Science and Technology, För teknisk-naturvetenskapliga fakulteten gemensamma enheter, International Science Programme (ISP). University of Ougadougou, Burkina Faso.
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, Published paper (Refereed)
Abstract [en]

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.
Series
Lecture Notes in Computer Science, ISSN 0302-9743 ; Vol 7314
National Category
Mathematical Analysis
Research subject
Mathematics with specialization in Applied Mathematics; Electrical Engineering with specialization in Systems Analysis
Identifiers
URN: urn:nbn:se:uu:diva-214067DOI: 10.1007/978-3-642-30782-9_17ISI: 12789078ISBN: 978-3-642-30781-2 (print)ISBN: 978-3-642-30782-9 (print)OAI: oai:DiVA.org:uu-214067DiVA: diva2:683920
Conference
19th International Conference; ASMTA 2012; Grenoble, France; June 4-6, 2012
Available from: 2014-01-07 Created: 2014-01-07 Last updated: 2014-01-09Bibliographically approved

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Kaj, Ingemar

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