Reduction of an electrochemistry-based li-ion battery model via quasi-linearization and Pad́ approximation

Joel C. Forman, Saeid Bashash, Jeffrey L. Stein, Hosam Kadry Fathy

Research output: Contribution to journalArticlepeer-review

191 Scopus citations


This paper examines an electrochemistry-based lithium-ion battery model developed by Doyle, Fuller, and Newman. The paper makes this model more tractable and conducive to control design by making two main contributions to the literature. First, we adaptively solve the model's algebraic equations using quasi-linearization. This improves the model's execution speed compared to solving the algebraic equations via optimization. Second, we reduce the model's order by deriving a family of analytic Pad́ approximations to the model's spherical diffusion equations. The paper carefully compares these Pad́ approximations to other published methods for reducing spherical diffusion equations. Finally, the paper concludes with battery simulations showing the significant impact of the proposed model reduction approach on the battery model's overall accuracy and simulation speed.

Original languageEnglish (US)
JournalJournal of the Electrochemical Society
Issue number2
StatePublished - Jan 5 2011

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Renewable Energy, Sustainability and the Environment
  • Condensed Matter Physics
  • Surfaces, Coatings and Films
  • Electrochemistry
  • Materials Chemistry


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