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Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling

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  • Oliver Lass
  • Stefan Volkwein

Abstract

In this paper the authors consider a parameter estimation problem for a nonlinear systems, which consists of one parabolic equation for the concentration and two elliptic equations for the potentials. The measurements are given as boundary values for one of the potentials. For its numerical solution the Gauss Newton method is applied. To speed up the solution process, a reduced-order approach based on proper orthogonal decomposition is utilized, where the accuracy is controlled by error estimators. Parameters, which can not be identified from the measurements, are identified by the subset selection method with $$QR$$ Q R pivoting. Numerical examples show the efficiency of the proposed approach. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Oliver Lass & Stefan Volkwein, 2015. "Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling," Computational Optimization and Applications, Springer, vol. 62(1), pages 217-239, September.
    • Handle: RePEc:spr:coopap:v:62:y:2015:i:1:p:217-239
    DOI: 10.1007/s10589-015-9734-8
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    Cited by:

    1. Cynthia Thamires da Silva & Bruno Martin de Alcântara Dias & Rui Esteves Araújo & Eduardo Lorenzetti Pellini & Armando Antônio Maria Laganá, 2021. "Battery Model Identification Approach for Electric Forklift Application," Energies, MDPI, vol. 14(19), pages 1-26, September.

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