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Section 2.5 Shunt currents that the channel geometry factor is directly proportional to the ionic resistance of the channel, which by far represents the largest resistance in the equivalent electric network. If we assume the voltage source to be constant, the shunt currents are directly proportional to the ionic resistance of the channel and thus to the channel geometry factor. 5 4 3 2 1 0 2 10 20 30 40 50 60 Number of cells in series connection Figure 2-8: Equivalent shunt current during charging over number of cells in a single stack for two designs Despite the two very different designs, the exponent of the curve fitting equation only varies by 1.7 %. Hence, if the equivalent shunt current of a particular cell design is known for a five-cell stack, the equivalent shunt current of any stack with a larger number of cells can be predicted precisely. -3 NC 1.980 IShunt, Design 2.1NC 32.4⋅10 5 A (2-38) -3 NC 2.014 IShunt, Design 4.6NC 7.3⋅10 5 A (2-39) It is evident that the shunt currents depend on the SoC of the electrolytes, because of their SoC-dependent conductivities. However, the SoC also affects the cell open circuit voltage (OCV) and thus the total cell voltage, which excites the shunt currents. As the battery current affects the cell voltage via the overpotentials as well, it also has an impact on the shunt currents, as shown in Figure 2-9. In general, the equivalent shunt current is larger for a higher SoC and larger during the charging than during the discharging of the battery. A large charging current boosts the equivalent shunt current while a large discharging current leads to its reduction. This behavior can be traced back to the overpotentials associated with the respective currents. Large charging currents trigger large overpotentials, increasing the cell voltage. Large absolute values of discharging currents trigger large absolute values of overpotentials, decreasing the cell voltage. Design 2.1 Design 2.1, fit ting Design 4.6 Design 4.6, fit ting 31PDF Image | Model-based Design Vanadium Redox Flow Batteries
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