Physically-based impedance modeling of the negative electrode in All-Vanadium Redox Flow Batteries: insight into mass transport issues

Mass transport of the electrolyte over the porous electrode is one of the most critical issues hindering Vanadium Redox Flow Battery commercialization, leading to increased overpotential at high current and limiting system power density. In this work, a 1D physically based impedance model of Vanadium Redox Flow Battery negative electrode is developed, taking into account electrochemical reactions, convection at carbon fiber, diffusion in the pores and migration and diffusion through electrode thickness. The model is validated with respect to experimental data measured in a symmetric cell hardware, which allows to keep the State of Charge constant during the measurement. The physically based approach permits to elucidate the origin of different impedance features and quantify the corresponding losses. Charge transfer resistance decreases with increasing current and is generally lower compared to the ones related to mass transport phenomena. Migration losses through the porous electrode are negligible, while convection at carbon fiber is relevant and in Nyquist plot results in a linear branch at low frequency. In presence of significant convection losses the reaction tends to concentrate close to the channel: this leads to a reduction of diffusion losses through the electrode, while diffusion process in the pores becomes more limiting.