An enhancement to Vynnycky's model for the all-vanadium redox flow battery

An enhanced one-dimensional (1-D) stationary model for the all-vanadium redox flow battery (VRFB) is developed based on an existing 1-D model proposed by Vynnycky [Energy, 36 (2011): 2242 - 2256]. The enhanced model incorporates species conservation equations along with an advection term to describe the concentration changes in the porous electrodes. In addition, a complete Nernst equation, which accounts for proton concentrations in the VRFB is also included to improve the cell voltage prediction without using any arbitrary fitting contact voltage. The enhanced 1-D model is validated against experimental data from the literature and the ability of the model to predict the cell performance is investigated. The cell voltage prediction shows significant improvement over Vynnycky's 1-D model and also compares surprisingly well with higher-dimensional models. This enhanced 1-D model is also capable of capturing the cell performance at different electrolyte flow rates, especially evidenced by the polarization curves. Using both the power based and round-trip efficiencies, the optimal electrolyte flow rate for the VRFB can be determined. This enhanced 1-D model is expected to serve as a useful design tool for the development and optimization of VRFB systems.