Mathematical Modeling of the Lithium‐Aluminum, Iron Sulfide Battery: I . Galvanostatic Discharge Behavior

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Abstract
A mathematical model of the , high temperature battery is presented. The model considers a whole prismatic cell which consists of negative electrode, separator, electrolyte reservoir, and positive electrode. Physical phenomena described are ohmic potential drop and diffusion potential in the electrolyte, changes in porosity and electrolyte composition due to electrochemical reactions, local reaction rates, and diffusion, convection, and migration of electrolyte. In addition, the analysis includes finite matrix conductivities, variable physical properties, and the possibility of specific simultaneous reactions in the positive electrode. The theoretical results show many of the trends in behavior observed experimentally. The effects of state of charge, initial electrolyte composition, cell temperature, and current density are presented, and factors that can limit cell performance are identified.

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