A Mathematical Model to Study Capacity Fading in Lithium Ion Batteries: Formation and Dissolution Reactions

A mathematical model based on formation and dissolution kinetics is formulated for the formation of the Solid Electrolyte Interphase layer on the anode and cathode in a lithium ion battery. The model assumes that the formation of the Solid Electrolyte interphase (SEI) at the anode and cathode involves formation and dissolution of the SEI layer. The model evaluates capacity fading as a function of temperature for various values of formation and dissolution rate constants. Model results also predict capacity fade results when there is no dissolution of the SEI layer. Model results show that at higher temperatures dissolution of the SEI layer plays a major role in the capacity loss in a lithium ion battery.