Mathematical Model Reformulation for Lithium-Ion Battery Simulations: Galvanostatic Boundary Conditions

This paper presents an effective first step in the mathematical reformulation of physics-based lithium-ion battery models to improve computational efficiency. While the additional steps listed elsewhere [Electrochem. Solid-State Lett., 10, A225 (2007)] can be carried out to expedite the computation, the method described here is an effective first step toward efficient reformulation of lithium-ion battery models to expedite computation. The battery model used for the simulation is derived from the first principles as an isothermal pseudo-two-dimensional model with volume-averaged equations for the solid phase and with incorporation of concentrated solution theory, porous electrode theory, and with due consideration to the variations in electronic/ionic conductivities and diffusivities. The nature of the model and the structure of the governing equations are exploited to facilitate model reformulation, yielding efficient and accurate numerical computations.