Transmission Line Model of Intercalation Electrode Particle in Lithium-Ion Batteries

Abstract

The transmission line model (TLM) is a powerful tool to describe different physicochemical processes and therefore frequently used for the simulation of battery and fuel cell performance. Despite the fact that TLMs exhibit spatial resolution, there still are challenges when applying TLMs to realistic geometries and for modelling arbitrary direct and alternate current operations. To resolve this long-standing challenge, we developed the methodology for designing TLMs, which enables adequate modelling of arbitrary direct and alternate current operations on simplified geometries of active intercalating particles in battery electrodes. The insightful derivation is based on finite volume discretization of the diffusion equation in active particles. The capability of the proposed method to adequately model arbitrary AC and DC operation is demonstrated by comparing the obtained results with the analytic solution. This was validated on the spherical geometry with different solid diffusivity coefficients of active particles.