Numerical Simulation of a Network of Li-Ion Cells Using an Electrochemical Model

  • David Aller Giráldez
  • M. Teresa Cao-Rial
  • Manuel Cremades Buján
  • Pedro Fontán Muiños
  • Jerónimo Rodríguez
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 26)


The battery system of an electric vehicle comprises hundreds of battery packs connected in both parallel and series, plus many other electric components required for the correct charge, power and thermal management of the system. Furthermore, each battery pack is a stack of several individual electrochemical cells connected in both parallel and series and thermally coupled. The aim of the present work is the numerical simulation of a pack of Li-ion cells. To this end, the device is modeled as an electrical network where the edges that contain electrochemical cells are handled by means of a Steklov-Poincaré operator associated to a model that covers electrochemical, thermal and aging effects. The full differential-algebraic system issued from the space discretization of the cells and the coupling between edges through Kirchhoff’s laws is integrated in time by means of implicit Euler method and Newton’s iterations. This procedure allows to decouple the resolution of the electrochemical cells leading to a highly parallelizable and computationally efficient algorithm. This approach is used to numerically simulate a pack of cells.



This work was funded by Xunta de Galicia, ITMATI and Repsol through the Joined Research Unit IN853A 2014/03.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  • David Aller Giráldez
    • 1
  • M. Teresa Cao-Rial
    • 2
    • 3
  • Manuel Cremades Buján
    • 2
  • Pedro Fontán Muiños
    • 2
  • Jerónimo Rodríguez
    • 2
    • 4
  1. 1.Repsol Technology CenterMóstolesSpain
  2. 2.ITMATISantiago de CompostelaSpain
  3. 3.Dpto. de MatemáticasUniversidade da CoruñaA CoruñaSpain
  4. 4.Dpto. de Matemática AplicadaUniversidade de Santiago de CompostelaSantiago de Compostela, A CoruñaSpain

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