2). The simple-cycle one-shaft Siemens turbine SGT-500 has the following specifications:
Fuel Natural gas
Frequency 50/60 Hz
Turbine speed 3600 rpm
Compressor pressure ratio 12:1
Air flow 90 kg/s
NOx emissions (cor. To 15% O2 dry) <25 vppm
Turbine inlet temperature 8500C
Additional data and assumptions:
Ambient temperature and pressure t = 10°C, p = 1 bar
Assume that Natural gas is 100% methane, therefore:
Stoichiometric air-fuel ratio f = 17.6 kg/kg
Lower heating value LHV =50 MJ/kg
Specific heat ratio for the compression k = 1.39
Combustion pressure loss 2%
Efficiencies:
Isentropic efficiency turbine 90%
Isentropic efficiency compressor 89%
Mechanical efficiency 96%
Generator efficiency 98%
Calculate:
1). The exhaust temperature (°C)