ES 17 06 2024 practical test sol

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EXERCIZE 1 DATA QUESTION 1) N mirror 2750 - A tot mirror 302500 m2 A mirror 110 m2 Q sun 287.38 MW H/D 1.5 - Q rec 186.79 MW cp MS 1.45 kJ/kg/K A rec 339.63 m2 rho MS 1800 kg/m3 CR 890.69 - Tin 290 °C D 8.5 m Tout 565 °C H 12.7 m Q'' medio 0.55 kW/m2 m HTF 441.00 kg/s DNI 950 W/m2 Q HTF 175.85 MW Vol Flow Rate 0.245 m3/s eta_th 0.9414 - eta opt,design 0.65 - Qloss 10.945 MW SM 2.2 - P aux 700 kW QUESTION 2) eta_PB 0.395 - QPB 79.931 MW eta_opt,winter 0.58 - Pel, gross 31.573 MW GHI 500 W/m2 Pel net 30.873 MW DHI 220 W/m2 zenith 63 ° QUESTION 3) DNI 616.75 W/m2 Qloss 10.945 MW Qsun 186.57 MW Qrec 108.21 MW QHTF 97.264 MW eta_th 0.8989 - eta_th*eta_opt 0.5213 - DATA D 108 m Wel 4.8 MW Eta 0.79 - Eta moltipl. 0.98 - Eta org-el 0.965 - omega 15 giri/min W cut-in 150 kW Patm 101325 Pa T 25 °C 298.15 K MM 28.9 kg/kmol ro 1.181 kg/m3 D base 8 m Alfa opt 8 ° T' -15 °C 258.15 K Results AD 9161 m2 Wpale 5076 kW CpBetz 0.593 - Cp 0.468 - WID nom 10841.9 kW V1 nom 12.61 m/s omega 1.571 rad/s u [m /s] vD [m/s] w [m/s] Teta [rad] Teta [°] Gamma [°] tip 84.82 8.40 85.24 0.0988 5.7 -2.3 hub 6.28 8.40 10.49 0.9288 53.2 45.2 Wblade cut-in 159 kW WID cut-in 339 kW v1 cut-in 4.0 m/s omega cut-in 4.7 giri/min omega cut-in 0.4948 rad/s Pitch angle does not vary! ro' 1.364 kg/m3 v1' cut-in 3.8 m/s v1' nom 12.0 m/s EXERCIZE 2 EXERCIZE 3 DATA T in 190 °C x in 0.4 - h in 1599 kJ/kg P flash 3.65 bar Tcond 40 °C Eta is turbine 0.82 - Eta mech-el turbine 0.95 - Eta hyd pump 0.75 - Eta org-el mot 0.93 - P el netta 8000 kW P aux 460 kW T reinjection 60 °C Eta || 0.51 - capacity Factor 0.82 - heq 7183.2 h/y Cs, ORC 2000 €/kW COE 65 €/MWh LCC 0.11 - ∆Twater 8 °C cp,geo 4.4 kJ/kg/K O&M 0.2 €/MWh LIQUID VAPOR T sat P sat h liq.sat. s liq.sat. h vap.sat s vap.sat. [°C] [bar] [kJ/kg] [kJ/kgK] [kJ/kg]…