Abstract
Recently, the lumped models for all-vanadium redox flow batteries (VRFBs) have gained a lot of interest among battery designers for system-level studies because of their simplified mathematical approach with the minimum computational procedure. In this paper, we, therefore, aim to systematically derive a reduced lumped mathematical model for VRFB. In essence, we carry out an analysis to arrive reduced lumped model by orderly reducing the distributed three-dimensional (3D) model to one dimensional (1D) model by providing justified conditions/assumptions. Subsequently, from the analytical solution of 1D, we obtain the expression for lumped model. A further analysis and reduction of this analytical lumped model are carried out to obtain a reduced lumped model. We then verify both this analytical and reduced lumped model by comparing the charge-discharge predictions of the lumped model with the distributed model of higher dimensions at different values of current density. A good agreement between the model predictions is obtained, which indicates that the derived lumped model can capture the behavior of a higher dimensional model with high accuracy and without compromising internal physics.
Funder
Science and Engineering Research Board
Indian Institute of Technology Roorkee
Publisher
The Electrochemical Society
Subject
Materials Chemistry,Electrochemistry,Surfaces, Coatings and Films,Condensed Matter Physics,Renewable Energy, Sustainability and the Environment,Electronic, Optical and Magnetic Materials