NDLI: Investigation of projection-based model-reduction techniques for solid-phase diffusion in Li-ion batteries

Content Provider	IEEE Xplore Digital Library
Author	Mayhew, C. Wei He Kroener, C. Klein, R. Chaturvedi, N. Kojic, A.
Copyright Year	2014
Description	Author affiliation: Res. & Technol. Center, Robert Bosch, Palo Alto, CA, USA (Mayhew, C.; Wei He; Kroener, C.; Klein, R.; Chaturvedi, N.; Kojic, A.)
Abstract	In this work, we apply the projection-based model-reduction framework for PDEs of [1] to the diffusion process governing the intercalation of lithium ions into spherical particles that appears in electrochemical models of Li-ion batteries. We first invoke the projection framework with different projections (the so-called natural-i.e. Galerkin-and volume-averaging projections-NP and VAP, respectively) and different basis sets (even monomials and eigenfunctions of the PDE) to arrive at different reduced models, which we then benchmark in a dimensionless frequency-domain setting. Surprisingly, we find that VAP of an even monomial basis yields an unstable reduced model for anything but the lowest order; however, NP yields suitable results for the basis sets and orders considered. Furthermore, we find that the NP-eigenfunction combination makes for a slow convergence when compared to NP with even monomials; however, room for further improvement is seen when compared with a balanced truncation, which is not applicable in the nonlinear setting of concentration-dependent diffusivity.
Starting Page	123
Ending Page	128
File Size	250548
Page Count	6
File Format	PDF
ISBN	9781479932726
ISSN	07431619
e-ISBN	9781479932740
DOI	10.1109/ACC.2014.6859408
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-06-04
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Approximation methods Eigenvalues and eigenfunctions Boundary conditions Frequency-domain analysis Batteries Convergence Mathematical model Power systems Reduced order modeling Automotive
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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