Derivation of Micro/Macro Lithium Battery Models from Homogenization

Francesco Ciucci, Wei Lai

Research output: Contribution to journalArticle

  • 22 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
Electrolytes
Conservation
Microstructure
Electrodes
Liquids
Lithium-ion batteries

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: Contribution to journalArticle

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