Analytical and Stochastic Modelling of Battery Cell Dynamics

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

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.

Keywords

Phase Plane Theoretical Capacity Terminal Voltage Nominal Capacity Battery Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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