Derivation of Micro/Macro Lithium Battery Models from Homogenization

Francesco Ciucci, Wei Lai

    Research output: Research - peer-reviewArticle

    • 18 Citations

    Abstract

    In this article, we develop a micro-macroscopic coupled model aimed at studying the interplay between electrokinetics and transport in lithium ion batteries. The system studied consists of a solid (electrode material) and a liquid phase (electrolyte) with periodic microscopic features. In this work, homogenization of generalized Poisson-Nernst-Planck (PNP) equation set leads to a micro/macro formulation similar in nature to the one developed in Newman's model for lithium batteries. Underlying conservation equations are derived for each phase using asymptotic expansions and mathematical tools from homogenization theory, starting from a PNP micromodel, and in particular Newman's model is obtained as a corollary of the micro/macro approach developed here. The advantage of homogenization lies in the fact that effective parameters can be derived directly from the analysis of the periodic microstructure and from the application of the theory developed in this article. In addition, the advantages of using homogenization in Lithium ion battery modeling are outlined. Lastly, this work is a necessary step toward more general homogenized models and toward mathematical proofs, and it is also needed preliminary analysis for multiscale computational schemes.

    LanguageEnglish (US)
    Pages249-270
    Number of pages22
    JournalTransport in Porous Media
    Volume88
    Issue number2
    DOIs
    StatePublished - Jun 2011

    Profile

    Lithium batteries
    Macros
    Lithium-ion batteries
    Electrolytes
    Conservation
    Microstructure
    Electrodes
    Liquids
    Battery management systems

    Keywords

    • Homogenization
    • Lithium batteries
    • Newman's model
    • Poisson-Nernst-Planck
    • Porous electrode

    ASJC Scopus subject areas

    • Chemical Engineering(all)
    • Catalysis

    Cite this

    Derivation of Micro/Macro Lithium Battery Models from Homogenization. / Ciucci, Francesco; Lai, Wei.

    In: Transport in Porous Media, Vol. 88, No. 2, 06.2011, p. 249-270.

    Research output: Research - peer-reviewArticle

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