Transport in Cathode of Lithium-Ion Cells

A mathematical model for the transport in cathode of a lithium-ion cell is developed and analytical solutions to the model equations are obtained. The derived equation is tested by fitting it to published experimental discharge characteristics. Wherever possible, the values of the relevant parameters are obtained from the same literature from which the discharge characteristics were obtained. The agreement between the predicted and the experimental discharge curves are measured statistically using t-test. Since the discharge characteristics are usually plotted as voltage versus time or capacity or even state-of-discharge, hence the expression for the cell voltage has been derived.