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4-3 Optimization of the net present value of a solar tower power plant 87 where Φ is a function that calculates the mass of the regenerators and the cooler, while Ψ can be a constant or an additional function that converts this weight into the cost of the power block including the turbomachinery. A possible choice for some parameters and constraints is presented in Table 4-6. The regenerators pinch temperature is obtained from the typical Table 4-6: Optimization parameters, inequality constraints and design variables for the optimiza- tion of the design of a s-CO2 solar tower power plant Parameters Compressor 1 efficiency Compressor 2 efficiency Turbine efficiency Compressor 1 suction T. System power Constrains set (j) Components cost Regenerators effectiveness Design variables (x) Regenerators pinch temperature Cooler pinch temperature Pressure loss Turbine inlet temperature Compressor discharge pressure — ηCM1 85.00 — ηCM2 85.00 — ηTR 93.40 ◦C T2 31.25 MW W ̇ CY — e ς′(x) % εRG(x) ◦C ∆TPN,RG ◦C ∆TPN,CO % ∆PLS ◦C T4 bar P3 ≤ |ς′ | MAX ≤ 98.00 ≥ 3.00 ≥ 5.00 ≥ 0.00 ≤ 600.00 ≤ 260.00 values given by the PCHE manufacturer [3], while the one of the cooler is the standard value for air cooled heat exchangers [80]. The maximum temperature of the solar heater has been taken as 600◦C, which is the typical value for towers with molten salts [31]. Finally, the maximum compressor discharge pressure is much larger than the maximum pressures in current towers (100-135 bar [76]). However, this is still a system to be further studied and additional works can prove the feasibility of such pressures for this proposal. A multiple-objective problems generally does not have a single solution. It is rather possible to define the so called “Pareto front”, which includes a set of optimal solutions that fit the definition of optimality. The Pareto optimal criteria states that a point x∗ is Pareto optimal if and only if there does not exist another point such that F(x)≥F(x∗) and Fi(x)≥ Fi(x∗) for at least one function [81]. In order to understand this concept consider Figure 4-17. Master of Science Thesis J.S. Bahamonde Noriega Figure 4-17: Pareto efficiency diagram.PDF Image | Design method for s-CO2 gas turbine power plants
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