Mathematical modelling of ionic transport in the electrolyte of Li-ion batteries

被引:77
作者
Danilov, D. [3 ]
Notten, P. H. L. [1 ,2 ]
机构
[1] Eindhoven Univ Technol, NL-5600 MB Eindhoven, Netherlands
[2] Philips Res Labs, NL-5656 AE Eindhoven, Netherlands
[3] Eurandom, NL-5600 MB Eindhoven, Netherlands
关键词
Li-ion battery; ionic transport; organic electrolytes; Nernst-Plank equations; electro-neutrality;
D O I
10.1016/j.electacta.2008.02.086
中图分类号
O646 [电化学、电解、磁化学];
学科分类号
081704 ;
摘要
The ionic conductivity of the organic electrolyte in Li-ion batteries has been modelled. The classical one-dimensional Nernst-Planck approach results in a system of two non-linear parabolic second-order partial differential equations. It is shown that under electro-neutrality conditions this complex system of equations can be reduced to simple diffusion equations with modified diffusion coefficient, facilitating the efficient use of numerical methods. As a result, detailed information about transient and steady-state behaviour of the electrolyte is revealed, including potential gradients and the diffusion and migration fluxes for both Li+ and PF6- ions. Furthermore, an extension of the basic model is presented, taking into account salt dissociation in the electrolyte. The most characteristics of ionic transportation are illustrated with realistic examples of constant-current (dis)charging Li-ion batteries. Some of the numerical simulations are compared with recently reported experimental results. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:5569 / 5578
页数:10
相关论文
共 16 条
[1]  
BARD AJ, 1980, ELECTROCHEMICAL METH
[2]  
BERGVELD HJ, 2002, PHILIPS RES BOOK SER, V1
[3]   Mathematical modeling of secondary lithium batteries [J].
Botte, GG ;
Subramanian, VR ;
White, RE .
ELECTROCHIMICA ACTA, 2000, 45 (15-16) :2595-2609
[4]  
Danilov D, 2004, 12 IMLB C NAR JAP
[5]   MODELING OF GALVANOSTATIC CHARGE AND DISCHARGE OF THE LITHIUM POLYMER INSERTION CELL [J].
DOYLE, M ;
FULLER, TF ;
NEWMAN, J .
JOURNAL OF THE ELECTROCHEMICAL SOCIETY, 1993, 140 (06) :1526-1533
[6]   Mathematical modeling of lithium-ion and nickel battery systems [J].
Gomadam, PM ;
Weidner, JW ;
Dougal, RA ;
White, RE .
JOURNAL OF POWER SOURCES, 2002, 110 (02) :267-284
[7]  
Granqvist C. G., 1995, HDB INORGANIC ELECTR
[8]   Electronic network modeling of rechargeable batteries - I. The nickel and cadmium electrodes [J].
Kruijt, WS ;
Bergveld, HJ ;
Notten, PHL .
JOURNAL OF THE ELECTROCHEMICAL SOCIETY, 1998, 145 (11) :3764-3773
[9]  
KRUIJT WS, 1997, ECS M PAR FRANC, V97
[10]  
LANDAU LD, 1982, THEORETICAL PHYS, V2