Engineering modeling of batteries

  • Avner Friedman
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 67)


Physico-chemical processes such as mass transport and electrochemical reactions, occur simultaneously in a battery during charge, discharge and open-circuit. These processes are strongly interacted with one another, and are also affected by electrical field distribution in the battery. Consequently the performance of a battery is significantly affected by battery design parameters. To determine the optimum design parameters for a specific application, traditional approaches have been proven to be costly and time-consuming because there are too many parameters. To gain better understanding of physico-chemical processes and their interactions in batteries and to effectively reduce the time for battery development, significant efforts have been made by the industries and research institutes to develop mathematical models for batteries from first principles. On June 10, 1994 Zhenhua Mao from Motorola has described a mathematical model for Ni/H 2 cell and presented numerical results. The model, as described in [1], is based on simplified physical and geometric assumptions. The analysis of the more complete model remains a challenging problem.


Electrical Field Distribution Nickel Hydroxide Engineer Modeling Nickel Electrode Battery Cell 
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  1. [1]
    Z. Mao, R.E. White and J. Newman, Theoretical analysis of the discharge performance of a NiOOH/H 2 cell,Submitted to Journal of Electrochemical Society.Google Scholar
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    A. Friedman, Mathematics in Industrial Problems, Part 3, IMA Volume 31, Springer—Verlag, New York (1990).zbMATHGoogle Scholar
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    P.D. Lukovtsev and G.J. Slaidin, Proton diffusion throughout nickel oxide, Electrochimica Acta, 6 (1962), 17–21.CrossRefGoogle Scholar
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    Z. Mao and R.E. White, A finite difference method for pseudo-twodimensional boundary value problems, J. Electrocyhem. Soc., 140 (1993), 272–283.Google Scholar
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    Z. Mao and R.E. White, A model for the deliverable capacity of the TiS2 electrode in a Li/TiS 2 cell, J. of Power Sources, 43–44 (1993), 181–193.CrossRefGoogle Scholar
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    A. Friedman, Mathematics in Industrial Problems, Part 5, IMA Volume 49,Springer—Verlag, New York (1992).zbMATHGoogle Scholar

Copyright information

© Springer-Verlag New York, Inc. 1995

Authors and Affiliations

  • Avner Friedman
    • 1
  1. 1.Institute for Mathematics and its ApplicationsUniversity of MinnesotaMinneapolisUSA

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