Derivation of a Local Volume-Averaged Model and a Stable Numerical Algorithm for Multi-Dimensional Simulations of Conversion Batteries

Abstract

In this article, we derive a general form of local volume-averaging theory and apply it to a model of zinc-air conversion batteries. Volume-averaging techniques are frequently used for the macroscopic description of micro-porous electrodes. We extend the existing method by including reactions between different phases and time-dependent volume fractions of the solid phases as these are continuously dissolved and reconstructed during operation of conversion batteries. We find that the constraint of incompressibility for multi-component fluids causes numerical instabilities in simulations of zinc-air battery cells. Therefore, we develop a stable sequential semi-implicit algorithm which converges against the fully implicit solution. Our method reduces the coupling of the variables by splitting the system of equations and introducing an additional iteration step.

arXiv comment13 pages, 10 figures

References in corpus (4)

• Modeling Nucleation and Growth of Zinc Oxide During Discharge of Primary Zinc-Air Batteries
• Theory of Impedance Spectroscopy for Lithium Batteries
• Towards Rechargeable Zinc-Air Batteries with Aqueous Chloride Electrolytes
• Zinc Electrode Shape-Change in Secondary Air Batteries: A 2D Modeling Approach

Cited by in corpus (5)

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• Microstructure-Resolved Degradation Simulation of Lithium-Ion Batteries in Space Applications
• Bayesian Parameterization of Continuum Battery Models from Featurized Electrochemical Measurements Considering Noise
• Modelling and Simulation of an Alkaline Ni/Zn Cell