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

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.