Problem: Consider a combined gas-steam power cycle with a topping gas turbine cycle that has a pressure at the beginning of compression (air) = 101.325 Kpaa. At the end of heat addition due to combustion of injected fuel, the pressure is 8 atmospheres(absolute). Air enters the compressor at 20 deg C and the turbine at 1100 deg C. The isentropic efficiency of the compressor is 85 % and the gas turbine is 90%. The bottoming cycle is a simple Rankine cycle operating between the pressure limits of 6 Mpaa and 20 kPaa. Steam is heated in the heat exchanger by the exhaust gases to a temperature of 320 deg C. The exhaust gas leaves the heat exchanger (heat recovery steam generator) at the temperature equivalent to the steam cycle working fluid saturation temperature. This heat exchanger has an efficiency of 95% (i.e., only 95% of total heat released by hot exhaust gas is used for feedwater heating). Expansion efficiency for the steam turbine = 95%. Feedwater pump efficiency is 89%. The mass of air for the topping cycle is 290 kg/sec. Determine the following: 1. A clear representation of the equipment schematic diagram and process TS diagram. 2. The amount of electric power (KW) coming out of the generator attached to: (2.a) the gas turbine and (2.b) the steam turbine if nk=83% for the steam turbine and, if no and ng for the gas turbogen set are both 90%. 3. The plant thermal efficiency for the combined cycle (%). 4. The increase in thermal efficiency ec' from being a simple Rankine cycle to a Combined Cycle. (%) Note: Cp of air 1.005 KJ/kg K. and k (isentropic) = 1.4 Item 2.a 2.b 3 Answer Unit KW KW %

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Problem: Consider a combined gas-steam power cycle with a topping gas turbine cycle that has a pressure at the
beginning of compression (air) = 101.325 Kpaa. At the end of heat addition due to combustion of injected fuel, the
pressure is 8 atmospheres (absolute). Air enters the compressor at 20 deg C and the turbine at 1100 deg C. The
isentropic efficiency of the compressor is 85 % and the gas turbine is 90%. The bottoming cycle is a simple Rankine
cycle operating between the pressure limits of 6 Mpaa and 20 kPaa. Steam is heated in the heat exchanger by the
exhaust gases to a temperature of 320 deg C. The exhaust gas leaves the heat exchanger (heat recovery steam
generator) at the temperature equivalent to the steam cycle working fluid saturation temperature. This heat
exchanger has an efficiency of 95% (i.e., only 95% of total heat released by hot exhaust gas is used for feedwater
heating). Expansion efficiency for the steam turbine = 95%. Feedwater pump efficiency is 89%. The mass of air for
the topping cycle is 290 kg/sec. Determine the following:
1. A clear representation of the equipment schematic diagram and process TS diagram.
2. The amount of electric power (KW) coming out of the generator attached to: (2.a) the gas turbine and (2.b)
the steam turbine if nk=83% for the steam turbine and, if no and ng for the gas turbogen set are both 90%.
3. The plant thermal efficiency for the combined cycle (%).
4. The increase in thermal efficiency ec' from being a simple Rankine cycle to a Combined Cycle. (%)
Note: Cp of air 1.005 KJ/kg K. and k (isentropic) = 1.4
Item
2.a
2.b
3
Answer
Unit
KW
KW
%
Transcribed Image Text:Problem: Consider a combined gas-steam power cycle with a topping gas turbine cycle that has a pressure at the beginning of compression (air) = 101.325 Kpaa. At the end of heat addition due to combustion of injected fuel, the pressure is 8 atmospheres (absolute). Air enters the compressor at 20 deg C and the turbine at 1100 deg C. The isentropic efficiency of the compressor is 85 % and the gas turbine is 90%. The bottoming cycle is a simple Rankine cycle operating between the pressure limits of 6 Mpaa and 20 kPaa. Steam is heated in the heat exchanger by the exhaust gases to a temperature of 320 deg C. The exhaust gas leaves the heat exchanger (heat recovery steam generator) at the temperature equivalent to the steam cycle working fluid saturation temperature. This heat exchanger has an efficiency of 95% (i.e., only 95% of total heat released by hot exhaust gas is used for feedwater heating). Expansion efficiency for the steam turbine = 95%. Feedwater pump efficiency is 89%. The mass of air for the topping cycle is 290 kg/sec. Determine the following: 1. A clear representation of the equipment schematic diagram and process TS diagram. 2. The amount of electric power (KW) coming out of the generator attached to: (2.a) the gas turbine and (2.b) the steam turbine if nk=83% for the steam turbine and, if no and ng for the gas turbogen set are both 90%. 3. The plant thermal efficiency for the combined cycle (%). 4. The increase in thermal efficiency ec' from being a simple Rankine cycle to a Combined Cycle. (%) Note: Cp of air 1.005 KJ/kg K. and k (isentropic) = 1.4 Item 2.a 2.b 3 Answer Unit KW KW %
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