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The ten-segment circuit model for the single cell is shown in Figure 31-5. The resistors across the top of the circuit, R , represent the chlorine-electrode resistance, while R represents the combined resistance in the electrolyte. This combination refers to the fusion of the IR-free polarizations and ohmic polariza tion in the electrolyte into one term. The series connection of the chlorine- electrode resistances and the parallel connections of the electrolyte resistances reflect the direction of current flow in the cell. The zinc electrode is repre sented as a short-circuit connected across the R resistors. This is because the zinc electrode was assumed to be an equipotential surface. The bus bar, R^, and contact resistances and R , are connected at the end of the respective elec trodes. Finally, a charging condition is modeled by the reversible cell voltage. V , being opposed by the charge cell voltage V^. The difference between these two voltage sources represents the total voltage loss across the cell. The equations which determine the chlorine-electrode resistance, bined resistances in the electrolyte, R , are given by: R = VAy and the com- (8) (9) g 6 *H g R V 6e t H*Ay These equations are based on the standard resistance formula of path length multi plied by resistivity and divided by the cross-sectional area. In the case of the chlorine electrode, the path length is designated as Ay, and represents a unit distance across the active width of the cell. In the calculation of the combined electrolyte resistance, the path length is the inter-electrode gap, 6 . The magnitudes of these resistors were calculated from a set of parameter values, defined as the "standard case". This set of cell-parameter values, represents present technology in comb-type bipolar cells, and is shown in Table 31-2. The chlorine-electrode and combined-electrolyte resistances were calculated to be: R = 0.0009 ohm g R = 0.2 ohm It should be noted that it is the difference between these two resistance values which determine the distribution of current across the cell. If the resistance presented by the electrolyte is much greater than the chlorine-electrode resis tance, the distribution tends to become uniform across the cell. 31-8PDF Image | Development of the Zinc-Chlorine Battery for Utility
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