Analytical solution for electrolyte concentration distribution in lithium-ion batteries

作者：Guduru Anupama; Northrop Paul W C; Jain Shruti; Crothers Andrew C; Marchant T R; Subramanian Venkat R^*

来源：Journal of Applied Electrochemistry, 2012, 42(4): 189-199.

DOI：10.1007/s10800-012-0394-4

• Battery model
• Analytical solution
• Concentration distribution
• Separation of variables method

In this article, the method of separation of variables (SOV), as illustrated by Subramanian and White (J Power Sources 96:385, 2001), is applied to determine the concentration variations at any point within a three region simplified lithium-ion cell sandwich, undergoing constant current discharge. The primary objective is to obtain an analytical solution that accounts for transient diffusion inside the cell sandwich. The present work involves the application of the SOV method to each region (cathode, separator, and anode) of the lithium-ion cell. This approach can be used as the basis for developing analytical solutions for battery models of greater complexity. This is illustrated here for a case in which non-linear diffusion is considered, but will be extended to full-order nonlinear pseudo-2D models in later work. The analytical expressions are derived in terms of the relevant system parameters. The system considered for this study has LiCoO2-LiC6 battery chemistry.

• 出版日期2012-4