In this work, we have developed a zero-dimensional vanadium redox flow battery (VRFB) model which accounts for all modes of vanadium crossover and enables prediction of long-term performance of the system in a computationally-efficient manner. Using this model, the effects of membrane thickness on a 1000-cycle operation of a VRFB system have been investigated. It was observed that utilizing a thicker membrane significantly reduces the rate of capacity fade over time (up to ∼15%) at the expense of reducing the energy efficiency (up to ∼2%) due to increased ohmic losses. During extended cycling, the capacity of each simulated case was observed to approach an asymptote of ∼60% relative capacity, as the concentrations in each half-cell reach a quasi-equilibrium state. Simulations also indicated that peak power density and limiting current density exhibit a similar asymptotic trend during extended cycling (i.e., an ∼10-15% decrease in the peak power density and an ∼20-25% decrease in the limiting current density is observed as quasi-equilibrium state is reached Recently, vanadium redox flow batteries (VRFBs) have gained significant interest as one of the most promising electrochemical systems for grid-scale energy storage due to their several advantages over conventional batteries.1,2 Among these advantages, the most important ones are their ability to decouple power and energy rating due to their unique system architecture, and their flexible design.3-6 Despite these advantages, one major challenge which hinders their commercial viability is the relatively higher capital cost of these systems.5 According to a recent study by Pacific Northwest National Laboratory, the current capital cost of a VRFB system is about $350 per kWh for 4-h application, 7 which is much higher than the capital cost target set by government agencies. The current capital cost target of The Department of Energy's Office of Electricity Delivery and Energy Reliability is $250 per kWh, falling to $150 per kWh in the future for a 4-hour energy storage system. 8 One possible approach to reduce the capital cost is to improve the performance of these systems for less material use. To date, the majority of research has focused on improving the performance of individual components, such as developing high power density electrodes 4,[9][10][11][12][13][14][15][16] and exploring high energy capacity electrolytes. [17][18][19][20][21] In line with these studies, another approach to reduce the capital cost is to increase the lifetime of VRFB systems. Currently, the lifetime of these systems is limited by the capacity fade during cycling, which is primarily governed by unwanted active species transport across the membrane (i.e., species crossover). 22 Developing sophisticated mathematical models to mimic the VRFB operation is imperative to investigate the capacity fade and related performance losses in these systems due to lengthy time requirements and practical limitations of experimental cycling analysis. So far, there are several studies reported that ha...