Factors Affecting Spectroscopic State-of-Charge Measurements of Positive and Negative Electrolytes in Vanadium Redox Flow Batteries

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Abstract
We showed that it is easy, in principle, to measure the state of charge (SoC) of VRFB negative electrolytes by ultraviolet-visible (UV-Vis) absorption spectroscopy because the spectra are a linear combination of the spectra of the components, VII and VIII. In contrast we showed, for a range of mole percentages of VV at several different concentrations of total vanadium, that the UV-Vis spectra of the positive electrolyte do not exhibit a similar linearity and that absorbance measurements at two different wavelengths are required to measure the SoC. All positive electrolytes showed an excess absorbance A ex which we have proposed to be proportional to the concentration of a 1:1 mixed-valence complex V2O3 3+ in equilibrium with VO2+ and VO2 +. We have defined a parameter p which directly relates A ex to the vanadium concentration C and the mole percentage of VV (i.e. the SoC). We showed that at any given wavelength, the value of p decreases somewhat with C. This is consistent with our model, when the variation of the V2O3 3+ equilibrium constant K c with C is small. We estimated approximate values for K c and for the excess molar extinction coefficient ε ex.