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Section 2.1 Assumptions and simplifications Chapter 2 Flow battery modeling Flow battery modeling 2.1 Assumptions and simplifications Modelling and simulating a full-scale VRFB system requires certain assumptions and simplifications. Each phenomenon is explained in more detail in the respective section that deals with the particular phenomenon. 2.2 Self-discharge reactions due to the diffusion of vanadium ions into the opposite half-cell are instantaneous. The mass transfer related to the crossover of vanadium ions across the membrane can be neglected for the short-term operation. The concentration of V2+ and VO2+ ions in the negative and positive half-cells, respectively, is always larger than zero. Both electrolytes have the same constant density and viscosity. The activation overpotential can be neglected. State-of-charge of a Vanadium Redox Flow Battery The temperature is constant. The flow rate is identical for both half-sides. Perfect mixture is obtained in tanks and cells. Oxygen and hydrogen evolution can be neglected. The volumes of the negative and the positive electrolyte remain constant. All cells of a stack are equally well supplied with electrolyte. The hydrogen proton concentration in both electrolytes is constant. The stores, referred to its theoretical capacity. For an ideal battery, the SoC is the integration of the injected or released electric current with respect to the time divided by the theoretical battery capacity, as shown in Eq. (2-1). An ideal battery does not lose any electric charge neither in the charging or the discharging process nor in times of standby. However, the theoretical capacity of a battery always differs from its nominal or useable capacity. This is mainly because the exploitation of the total SoC-range leads to several undesired effects such as accelerated aging or lower efficiencies. Thus, in regular operation, the SoC never reaches values of 0 % or 100 %. state-of-charge (SoC) indicates how much electric charge the battery currently 13PDF Image | Model-based Design Vanadium Redox Flow Batteries
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