An analytical solution to Li/Li+ insertion into a porous electrode |
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| Institution: | 1. Grupo Control Automático y Sistemas (GCAyS), Depto. Electrotecnia, Facultad de Ingeniería, Universidad Nacional del Comahue, Buenos Aires 1400, 8300 Neuquén, Argentina;2. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas (INIFTA), UNLP, CCT La Plata-CONICET, CC 16, Suc. 4, 1900 La Plata, Argentina;1. Computational Simulations Group, SAIT-India Lab, Samsung R & D Institute, Bangalore, 560 037, India;2. Energy Storage Group, Samsung Advanced Institute of Technology, 449-712, South Korea;1. Department of Mechanical and Nuclear Engineering and Electrochemical Engine Center (ECEC), The Pennsylvania State University, University Park, PA 16802, USA;2. EC Power, State College, PA 16803, USA;1. National Engineering Laboratory for Automotive Electronic Control Technology, Shanghai Jiao Tong University, Shanghai, China;2. Automotive Engineering College, Shanghai University of Engineering Science, Shanghai, China |
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| Abstract: | The dynamic faradic properties of the lithium ion batteries are primarily determined by the process of lithium ion insertion into a porous electrode. In this paper, we present an analytical result of the intercalating process of Li/Li+ into a spherical particle of graphite or cobalt oxide immersed in a conductive electrolyte. Using the finite integral transform method, an exact solution to the concentration profile was obtained for arbitrary linear initial and boundary conditions. To avoid analytical difficulties with respect to the boundary conditions of second kind, the method of pseudo-steady-state is applied. The final solution uniformly converges, and can be used for accurate and fast dynamic modelling and simulation. |
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