(402a) Macroscopic and Microscopic Modeling of a Lithium-Ion Cell with Solid-State Intercalation Effect

The macroscopic and microscopic modeling of lithium-ion cells considers electrochemical transport, kinetics of electrode reactions and porous electrode kinetics, and solid state diffusion. The intercalation/deintercalation process of lithium at solid particle surface is the key to understand the charge-discharge phenomenon of lithium battery. The solid state diffusion model with a two-component diffusion term can be reduced to a simple nonlinear diffusion form and applied to the behavior of single electrode particle. The nonlinear diffusion equation shows the vacancy effect in the solid-state diffusion of the particles inside the cell is illustrated in the nonlinear diffusion equation. The simulated results of voltage versus capacity obtained at discharge rate below 0.6C of C-rate agree well with the experimental data. Multiple reactions may also be included in the model.