WIAS Preprint No. 2882, (2021)

A modeling framework for efficient reduced order simulations of parametrized lithium-ion battery cells


  • Landstorfer, Manuel
    ORCID: 0000-0002-0565-2601
  • Ohlberger, Mario
  • Rave, Stephan
  • Tacke, Marie

2020 Mathematics Subject Classification

  • 78A57 35Q92 34B15 49M37 65K05


  • Battery, modeling, simulation, non-equilibrium thermodynamics, homogenization, reduced basis method, numerics




In this contribution we present a new modeling and simulation framework for parametrized Lithium-ion battery cells. We first derive a new continuum model for a rather general intercalation battery cell on the basis of non-equilibrium thermodynamics. In order to efficiently evaluate the resulting parameterized non-linear system of partial differential equations the reduced basis method is employed. The reduced basis method is a model order reduction technique on the basis of an incremental hierarchical approximate proper orthogonal decomposition approach and empirical operator interpolation. The modeling framework is particularly well suited to investigate and quantify degradation effects of battery cells. Several numerical experiments are given to demonstrate the scope and efficiency of the modeling framework.

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