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Notation and Glossary At Annual total cost C Vanadium salts concentration Ci Concentration of ion specie i Ccharge Concentration of vanadium ion i at the end of charging step Vi+ Cdischarge Concentration of vanadium ion i at the end of discharging step Vi+ E Equilibrium potential E+ Potential of positive tank E- Potential of negative tank Eo Standard potential Eo+ Standard potential of the redox pair at the positive side Eo- Standard potential of the redox pair at the negative side Eo’ Formal potential Eo’- Formal potential of the redox pair at the positive side Eo’+ Formal potential of the redox pair at the negative side Ebattery Measured potential difference Eloss Internal potential loss F Faraday constant ∆𝐺° Standard Gibbs free energy ∆𝐻°𝑟 Standard enthalpy of reaction ∆Hof,j Standard enthalpy of formation of i Ic Current of the battery for the charging step Id Current of the battery for the discharging step Io Investment costs k Conductivity Mel Generated electricity per year n Number of electrons ∆P Pressure drop Pc Power of the battery for the charging step Pd Power of the battery for the discharging step Q Flow rate R Ideal gas constant r2 Variation coefficient ∆𝑆°𝑟 Standard entropy of reaction ∆Sof,j Standard entropy of formation of i SoC State of charge SoC+ State of charge of the redox pair at the positive side SoC- State of charge of the redox pair at the negative side T Absolute temperature t Instant tc Charging step duration V Electrolyte volume Vc Potential difference of the battery for charging step Vd Potential difference of the battery for discharging step 𝑥̅ A verage Greek letters ∆ Variation η Pump efficiency Standard deviation € mol L-1 mol L-1 mol L-1 mol L-1 V V V V V V V V V V V C mol-1 kJ mol-1 kJ mol-1 kJ mol-1 A A € mS cm-1 kWh Pa W W m3 h-1 m3 Pa mol-1 K-1 J mol-1 K-1 J mol-1 K-1 % % % K s h L V V % Study of redox flow battery systems for residential applications ivPDF Image | Tubular Vanadium Air Redox‐flow battery
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