The Macroscopic and Microscopic Modeling of Lithium-ion Batteries –Coupled Porous Electrode/Intercalation Model
Date Issued
2010
Date
2010
Author(s)
Lin, Chyun-Yaw
Abstract
Mathematical modeling of lithium battery has received considerable attention in recent decades. Some of the models were developed using simplified electrochemical equations to yield a numerical solution for a simulated lithium battery system. The governing equations in lithium battery models concern the diffusion of lithium ions in the liquid phase of porous electrodes, Ohm’s law for a solid matrix and a liquid phase, electrochemical kinetics at positive and negative electrodes, and solid-state diffusion within electrode particles. The intercalation/deintercalation of lithium ions at the surface of particles is essential to understand the charge-discharge phenomenon in a lithium battery. The solid-state diffusion model with a two-component diffusion term can be reduced to a simple nonlinear diffusion model and applied to the behavior of a single electrode particle. The nonlinear diffusion equation shows the vacancy effect in the solid-state diffusion of the particles inside the cell. Simulation results of the voltage versus capacity at a discharge rate below 0.6C correlate well with the experimental data.
Subjects
lithium battery
vacancy effect
simulation
Mathematical modeling
SDGs
Type
thesis
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