Theory for the Lead-Acid Battery Interface
The Lead-Acid Battery Interface uses concentrated electrolyte theory to model electrolyte transport and electrodes of changing porosity in a lead-acid battery. The physics interface solves for the electrolyte salt concentration, electrode porosities, electrolyte potential, and electrode potential. The notations for these dependent variables are the following:
•
cl, dissociated salt concentration of electrolyte, here H+/HSO4-,
•
ε, porosity (volume fraction of liquid electrolyte) of the porous electrodes,
•
l, electrolyte potential, and
•
s, electric potential in the electrodes.
A lead-acid cell typically consists of five parts: a positive porous electrode (PbO2), a reservoir of electrolyte, a porous separator, a negative porous electrode (Pb), and two current collectors/feeders in contact with the positive porous electrode and negative porous electrode, respectively.
In this section:
•
The Electrode Reactions Equations
•
Electrode Kinetics and Active Available Surface Areas
•
Electrode Charge Transport Equations
•
Electrolyte Transport Equations