Mathematical modeling of batteries based on balance equations and coupled thermo-electrodynamics
FacultiesFakultät für Mathematik und Wirtschaftswissenschaften
This work covers a revision of balance equations in moving geometries. Based on general transport theorems, local equations of balance for volumes and surfaces are generally derived. This set of equations is then used to derive a coupled thermo-electrodynamic field theory, with local mass, momentum and energy densities. A mixture theory is then employed, based on a local second law, for the description of liquid and solid electrolytes (and thus also for intercalation electrodes). The application of this model framework is straight forward applied to model a lithium ion battery on the cell level. Porous electrode theory with a consistent reaction boundary condition is finally stated and compared to standard modeling approaches.
Subject HeadingsBilanzgleichung [GND]
Mathematische Modellierung [GND]
Partielle Differentialgleichung [GND]