Numerical Analysis Of The Efficiency Of Lithium Ion Battery During Discharge Using Method Of Lines Technique

Ranom, Rahifa (2019) Numerical Analysis Of The Efficiency Of Lithium Ion Battery During Discharge Using Method Of Lines Technique. Project Report. UTeM, Melaka, Malaysia. (Submitted)

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Abstract

Lithium ion battery is one of the most successful rechargeable batteries because of their high energy and power density. It has been applied in wide ranges of applications such as mobile devices, power tools and electric vehicles. The mathematical modelling of Lithium ion battery provides valuable insight into improving their efficiency, and storage performance. Mathematical modelling of battery consists of the conservation of ion in the electrolyte, reaction kinetics at the solid/electrolyte interface and diffusion of Lithium in solid particle. It involves wide range of scales ranging from the electrode thickness (macroscopic) and the size of particle (microscopic). Modelling of battery system involves the solution of complicated systems of equations that incorporate the electrochemical kinetics and the transport phenomena in the electrolyte and within particle. A detailed model for a lithium ion battery based on moderately dilute electrolyte theory and accounting for intercalation reactions on the surface of the electrode particles has been discussed. The homogenisation technique was used to derive macroscopic equations from a microscopic mocel. The existing numerical procedures are limited to a finite number of particles which is not an accurate to the actual battery design. In this study, we developed a numerical procedure using method of lines technique which is a great techique to solve the multiscale battery problem. This technique converts a system of PDEs into a large coupled system of ODEs by descretizing the spatial variable using finite difference method. The ODE system is then solved using an implicit algebraic solver. The numerical procedure had solved the macroscopic equations in a half cell cathode material in LiPF6 electrolyte. The battery model has been verified in predicting the cell potential and assessing the battery performance across a range of discharge rates. The factors of limiting discharge for LiFePO4 and LiCoO2 are then being discussed. The study embarks a new method in solving large multiscale system and the analysis contribute to an efficient design of electrode in order to increase battery performance.

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