A modelling framework for efficient reduced order simulations of parametrised lithium-ion battery cells. (29th June 2023)

• Record Type: Journal Article
• Authors: Landstorfer, M.; Ohlberger, M.; Rave, S.; Tacke, M.
• Is Part Of: European journal of applied mathematics. Volume 34:Number 3(2023)
• Page Start: 554
• Page End: 591
• Publication Date: 2023-06-29
• Subjects: Reduced basis method -- operator interpolation -- battery modelling; 78A57 -- 49M37 -- 35Q92 -- 34B15 -- 65K05; Mathematics -- Periodicals; 519
• DOI: 10.1017/S0956792522000353
• Languages: English
• ISSNs: 0956-7925

Abstract

Abstract: In this contribution, we present a modelling and simulation framework for parametrised lithium-ion battery cells. We first derive a continuum model for a rather general intercalation battery cell on the basis of non-equilibrium thermodynamics. In order to efficiently evaluate the resulting parameterised 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 modelling 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 modelling framework.