Comparing Mass-Preserving Numerical Methods for the Lithium-Ion Battery Single Particle Model

TL;DR

This paper compares two mass-preserving numerical schemes for the single particle model of lithium-ion batteries, evaluating their accuracy and computational efficiency to guide better modeling practices.

Contribution

It provides a systematic comparison of finite volume and control volume methods for the SPM, highlighting their tradeoffs in accuracy and computational time.

Findings

Finite volume method offers higher accuracy.

Control volume method is computationally faster.

Tradeoff identified between accuracy and efficiency.

Abstract

The single particle model (SPM) is a reduced electrochemical model that holds promise for applications in battery management systems due to its ability to accurately capture battery dynamics; however, the numerical discretization of the SPM requires careful consideration to ensure numerical stability and accuracy. In this paper, we present a comparative study of two mass-preserving numerical schemes for the SPM: the finite volume method and the control volume method. Using numerical simulations, we systematically evaluate the performance of these schemes, after independently calibrating the SPM discretized with each scheme to experimental data, and find a tradeoff between accuracy (quantified by voltage root-mean-square error) and computational time. Our findings provide insights into the selection of numerical schemes for the SPM, contributing to the advancement of battery modeling and simulation techniques.