Battery separators mathematical modeling

The use of electroactive polymers for overcharge protection has been recently reported for lithium-ion batteries.The electroactive polymer incorporated into a battery s separator is an attractive new option for overcharge protection. Thomas et al. developed a mathematical model to explain how electroactive polymers such as polythiophene can be used to provide overcharge protection for lithium-ion... 

P.S. Fedkiw and R.W. Watts, A mathematical model for the iron/chromium redox battery, J. Electrochem. Soc., 1984, 131, 701 R.A. Assink, Fouling mechanism of separator membranes for the iron/chromium redox battery, J. Membr. Sci., 1984, 17, 205-217 C. Abnold, Jr., R.A. Assink, Structure-property relationship of anionic exchange membranes for Fe/Cr redox storage batteries, J. Appl. Polym. Sci., 1984, 29,... 

One way to achieve some of these goals will be to develop mathematical models that reflect the effects of separator resistance, thickness, pore size, shrinkage, tortuosity, and mechanical strength on the final performance and safety of batteries. The battery separators for tomorrow will demand more than just good insulation and mechanical filtration they will require unique electrochemical properties. 

The mathematical models of different types of batteries (lead acid [220, 221], NiMH [222], lithium-ion [223, 224]) have been developed during the last few years [219]. This has led to a better understanding of those systems. The present models consider usually, the thickness and porosity of the separators. Very little has been done in incorporating the effect of physical and chemical properties of separators on the performance and safety of batteries. This is also because the microstructure of separators and their effect on transport properties in batteries are generally known only qualitatively. 

Using mathematical modeling to rationalize and predict battery behavior and system performance has been widely used. Driven by commercial interests in the 1980s, the Zn/Bt2 battery was extensively simulated, and various types of models have been used to investigate the transportation of species, secondary electrode reactions, and chemical reactions in bulk electrolyte. Lee et al. [76] developed thin diffusion-layer models to assess the effects of separator and terminal resistance on current distribution and the performance of flow reactors. In this model, in... 

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