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3-1 Regenerators 47 Effect of the number of elements in the solution In Section 3-1-5 it is mentioned that the number of discretization elements used in equation (3-34) is 200. However, it is convenient to study the convergence of the solution as a function of the number of discretization elements. To do so, the travel length calculated in this validation is plotted as a function of the number of control volumes, as shown in Figure 3-9. The length remains almost constant for a number of elements larger than 200 and consequently it is not necessary to consider larger values that would lead to larger computational cost. 4.5 4 3.5 3 2.5 2 1.5 200 400 600 NCV[−] 800 1000 Gnielinksi Ngo et al. Kim et al. Hesslegraves Figure 3-9: Converge of regenerators length for the PCHE of Song as a function of the number of sections. 3-1-7 Regenerators dimensioning The regenerator core is considered to have a square section. Therefore, as described in Section 3-1-5, the side of the core is varied until the required pressure drop is matched. The actual volume of the material of the PCHE is calculated and multiplied times the density of the titanium alloy. Two parameters are used in the thermodynamic analysis to obtain the operating conditions, which are used in the dimensioning calculations. These parameters are the system pressure drop and the compressor discharge pressure. Figure 3-10 presents the weight of the regenerators as a function of these inputs. The difference between the weights of the regenerators used in the Brayton configurations is large. This is due to the difference between the mass flow rates in both cases. As shown in Figure 2-30, the CO2 mass flow in the recompression system is approximately 1.5 times larger than the one in the regenerative system and consequently the recompression configuration requires bigger equipment. Although the weight of the regenerators could be seen as an advantage for the regenerative cycle, recall that this system requires higher TITs, which brings additional challenges for the design of the heater and the materials of the rest of the components. The weight of the rengenerators follows the same trend in both configurations shown in Figure 3-10. It decreases with larger pressure losses and larger compressor discharge pressures. Larger pressure losses require higher CO2 mass flow rates, which increase the heat transfer coefficient, increase the pressure drop and consequently decrease the size of the heat exchanger. Master of Science Thesis J.S. Bahamonde Noriega L [m]PDF Image | Design method for s-CO2 gas turbine power plants
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