Modeling the Lithium Ion/Electrode Battery Interface Using Fick’s Second Law of Diffusion, the Laplace Transform, Charge Transfer Functions, and a [4, 4] Padé Approximant

Figure 1

Transfer functions for a one-dimensional model of the solid-state diffusion in a typical electric car battery cell. Both transfer functions are moving away from the singularity at . On discharge, as the electron output of the anode moves toward zero, the input into the cathode increases, making its transfer function decrease.