(Digital Presentation) Mathematical Approximations for Monitoring the State of Charge and Computing Electrolyte Volume in Vanadium Redox Flow Battery Systems

Abstract

During the last years, several attempts have been carried out to provide clean energy storage as an alternative to overcome the energy demand. Vanadium redox flow batteries (VRFBs) appear as a suitable device that converts the chemical energy present in the electrolyte into electrical energy in a noiseless and clean manner. In the mentioned device, the electrolyte is polarized by using renewable energy, and later the stored energy is used in several applications from mobile to stationary scenarios. There are two fundamental design parameters to be considered in the sizing of a VRFB: the state of charge (SoC), and the electrolyte volume. The mentioned parameters are related to two independent parameters of great importance, the energy consumption per unit of time (power delivered by the device), and the amount of energy that can be stored in the system (energy capacity).The purpose of the current study is, based on collected data and theoretical approximations, analyze the SoC and the required electrolyte volume for several applications. To estimate the SoC for the different VRFB, a Nernst-modified equation is used. In this case, the number of cells was a key part of achieving the desired results. A correction factor (λ) was introduced to visualize the trend of the generated curve family in a better manner. On the other hand, to calculate the volume of electrolyte, an equation derived from the definition of electric charge is implemented. Similarly, due to the power applications range covering the study, a correction factor (γ) was also introduced. Considering the obtained results, as the correction factor increases the load state in the system will tend to present higher values of open circuit voltage and nevertheless constant values of load state. Based on the energy capacity calculations, and considering common vanadium concentrations among the electrolytes, it was found that the higher the vanadium concentration the required electrolyte volume will tend to be minor. In addition, on a large scale, there is a greater convergence of the required electrolyte volume to values greater than 10 000 m3. Figure 1. Trend of the open circuit voltage (OCV) when the state of charge (SoC) is increasing. Due to the wide range of output power analyzed in the current study, all the OCV presented values have been determined by using a correction factor (λ). Figure 1