Development and Experimental Verification
of a Mathematical Model of Lithium Ion Battery
D. A. Bogracheva, Yu. M. Vol’fkovicha, V. S. Dubasovab, A. F. Nikolenkob,
T. A. Ponomarevab, and V. E. Sosenkina,z
aFrumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences,
Leninskii pr. 31, Moscow, 119071 Russia
bScientific Research Institute of Electrical Carbon Products, Moscow oblast’, Elektrougli, 142455 Russia
Received July 21, 2011
Abstract—A model of the lithium ion battery is developed which takes into account intercalation and extrac-
tion of lithium ions in the active mass of negative and positive electrodes, the dependences of equilibrium elec-
trode potentials on the concentration of intercalated lithium, the ion transfer in pores of electrodes and the sep-
arator, the kinetics of electrode reactions, and the electric double layer charging. As the active material for the
negative electrode, UAMS graphite material is used. Lithium-nickel-cobalt oxide serves as the positive elec-
trode. The porous structure of electrodes is studied by the method of standard contact porosimetry. Sufficiently
high porosity values found for both electrodes (50% for anode and 27% for cathode) made it possible to con-
sider the interface as regards the internal pore surface found from porosimetry data rather than as regards their
external surface as in the previous studies. A comparison of calculated and experimental discharge curves dem-
onstrates their closeness, which points to the correctness of the model. By the fitting procedure, the coefficients
of solid-state diffusion of lithium ions and the rate constants for reactions on both electrodes are found.
Keywords: lithium-ion batteries, intercalation, extraction, lithium-nickel-cobalt oxide, graphite, porosimetry,
solid-state diffusion, mathematical simulations, electric double layer
DOI: 10.1134/S1023193513020031
Pleiades Publishing home page | journal home page | top
If you have any problems with this server, contact webmaster.