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20 Thermodynamic cycle analysis Figure 2-14: Process flow diagram of the Brayton recompression system. The enthalpy h3.3 depends on the high temperature compressor (compressor 2 in Figure 2- 14) and its suction enthalpy and pressure in point 6. As mentioned earlier, the pinch is not necessarily located in the cold side of the low temperature regenerator, which is why it can not be assumed that T6 = T3 + ∆TPN. In order to calculate h6 it is necessary to set a value for the mass flow fraction α, or set a value for the cold side temperature difference (∆TC,RG1 = T6 − T3). The latter is chosen in this work. Additionally, the enthalpies 3.3 and 5.5 in expres- sion (2-18) correspond to the cold side of the high temperature regenerator (regenerator 2 in Figure 2- 14). The CO2 in this component is not as close to the critical region as it is in the low temperature regener- ator. It is reasonable then to assume that the pinch point for the regenerator 2 is located in the cold side of this heat exchanger. The temperature T5.5 is there- fore T3.3 + ∆TPN and with this it is possible to obtain the enthalpy h5.5. This assumption is confirmed in the temperature profile of Section 2-3-4. The cold temperature difference, ∆TC,RG1 affects the mass flow fraction α in equation (2-18) and influ- ences the performance of the system. In order to make the right assumption for this value it is necessary to evaluate the operation of the system as a function of this temperature difference, as shown in Figure 2-15. Lower values of ∆TC,RG1 are better for the the system since they lead to lower TITs. Therefore, the steady state balance for this system aims to fix the lowest temperature possible (i.e. the selected pinch) in the cold side of the low temperature regen- erator. If this choice leads to lower pinch temperatures than the required one, ∆TC,RG1 is calculated in gradual increments until the pinch of 10◦C is obtained. 830 820 810 800 790 780 200 250 300 350 400 P3 [bar] ∆TC,RG1 = 10◦C ∆TC,RG1 = 15◦C ∆TC,RG1 = 20◦C J.S. Bahamonde Noriega Master of Science Thesis Figure 2-15: Turbine inlet temperature for the Brayton recompression system as a function of the compressor discharge pres- sure and cold side temperature difference, ∆TC,RG1, in the low temperature regenera- tor (ηTR = 50%, T2 = 31.25◦C, P2 = 74 bar, ηTR = 93.4%, ηCM1 = 85%, ηCM2 = 85%, ηHR = 90%, ∆PLS = 2%, ∆TPN = 10◦C). T4 [◦C]PDF Image | Design method for s-CO2 gas turbine power plants
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