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(i.e., not necessarily perfectly mixed electrolytes, which would represent 50% of capacity retained at equilibrium). This affects our assumptions of the electrolyte cost per kWh of rated storage capacity (e.g., 40% and 60% capacity retention equilibrium points would mean costs are greater or lower, respectively, than those shown in Figure III-3). Djm= 1e-12 m2/s, Cm = 1 S/m Djm= 1e-12 m2/s, Cm = 0.1 S/m Figure VIII-1 – Discharge capacity retention over 1000 cycles for a generic, 1 V RFB chemistry utilizing positivity charged redox active species. Two cases are shown utilizing different values for the average diffusivity of all active species through the membrane (Djm) and the membrane conductivity (Cm). With the use of a 0D model, we can thus explore the effect of membrane choice on this sort of analysis. Further, we can start to add more practical complexities: for example, the conductivity value affects the area-specific-resistance (ASR) of the cell, which affects the power density and thus power costs (Figure VIII-2). Each diffusivity and conductivity scenario alters the voltaic and coulombic efficiencies, which affect the power and electrolyte costs as well. Finally, we can make assumptions about the effect of membrane performance on membrane cost: as a first pass, say conventional membrane options used in aqueous environments (e.g., separators or ion-exchange membranes) may have conductivities ranging from 0.1 to 1 S/m that could correspond (linearly, 117PDF Image | Bringing Redox Flow Batteries to the Grid
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