Charge transport modelling of Lithium-ion batteries

Richardson, G.W. and Ranom, Rahifa and Foster, Jamie M. and Please, Colin and Ramos, Ángel Manuel (2021) Charge transport modelling of Lithium-ion batteries. European Journal of Applied Mathematics, 33 (6). pp. 1-49. ISSN 0956-7925

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Abstract

This paper presents the current state of mathematical modelling of the electrochemical behaviour of lithium-ion batteries (LIBs) as they are charged and discharged. It reviews the models developed by Newman and co-workers, both in the cases of dilute and moderately concentrated electrolytes and indicates the modelling assumptions required for their development. Particular attention is paid to the interface conditions imposed between the electrolyte and the active electrode material; necessary conditions are derived for one of these, the Butler–Volmer relation, in order to ensure physically realistic solutions. Insight into the origin of the differences between various models found in the literature is revealed by considering formulations obtained by using different measures of the electric potential. Materials commonly used for electrodes in LIBs are considered and the various mathematical models used to describe lithium transport in them discussed. The problem of upscaling from models of behaviour at the single electrode particle scale to the cell scale is addressed using homogenisation techniques resulting in the pseudo-2D model commonly used to describe charge transport and discharge behaviour in lithium-ion cells. Numerical solution to this model is discussed and illustrative results for a common device are computed.

Item Type:	Article
Uncontrolled Keywords:	Lithium batteries, charge transport, modelling, P2D model, Newman model, Butler–Volmer equation, homogenisation
Divisions:	Faculty of Electrical Engineering
Depositing User:	Norfaradilla Idayu Ab. Ghafar
Date Deposited:	06 Mar 2023 11:18
Last Modified:	06 Mar 2023 11:18
URI:	http://eprints.utem.edu.my/id/eprint/26165
Statistic Details:	View Download Statistic

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