Mathematical Model for Lithium-Ion Intercalation into the Cathode Active Material of a Lithium-Based Cell/Battery

February 27, 2019


The model describing the cell discharge behavior for short cell discharge periods was developed on the basis of lithium-ion diffusion in the cathode active material as the rate limiting step. The one-dimensional model for the slab type geometry predicts the following transient behavior: lithium-ion concentration profile, lithium-ion concentration boundary layer development, electrolyte-solid cathode active material interfacial current density, and specific active material charge storage capacity as well as fractional utilization of the active material.


intercalation, lithium-ion battery, cathode active material, diffusion-limited


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Author Details

Sarwan S. Sandhu

Clayton J. Cashion

Joseph P. Fellner