Analytical and Stochastic Modelling of Battery Cell Dynamics

  • Ingemar Kaj
  • Victorien Konané
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7314)


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.


Phase Plane Theoretical Capacity Terminal Voltage Nominal Capacity Battery Model 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Ingemar Kaj
    • 1
  • Victorien Konané
    • 2
    • 3
  1. 1.Department of MathematicsUppsala UniversitySweden
  2. 2.International Science ProgramUppsala UniversitySweden
  3. 3.Department of MathematicsUniversity of OuagadougouBurkina Faso

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