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ducts expanc urbine which ming air fror ne : (i) powe 2, isentropio

ducts expanc urbine which ming air fror ne : (i) powe 2, isentropio

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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30. In a gas turbine installation, air is taken in L.P. compressor at 15°C 1.1 bar and after compression it is passed through intercooler where its temperature is reduced to 22°C. The cooled air is further compressed in H.P. unit and then passed in the combustion chamber where its temperature is increased to 677°C by burning the fuel. The combustion products expand in H.P. turbine which runs the compressor and further expansion is continued in the L.P. turbine which runs the alternator. The gases coming out from L.P. turbine are used for heating the incoming air from H.P. compressor and then exhausted to atmosphere. Taking the following data determine : (i) power output (ii) specific fuel consumption (iii) Thermal efficiency : Pressure ratio of each compressor = 2, isentropic efficiency of each compressor stage = 85%, isentropic efficiency of each turbine stage = 85%, effectiveness of heat exchanger = 0.75, air flow = 15 kg/sec., calorific value of fuel = 45000 kJ/kg, c,(for gas) = 1 kJ/kg K, c, (for gas) = 1.15 kJ/kg K, y (for air) = 1.4, y (for gas) = 1.33. Neglect the mechanical, pressure and heat losses of the system and fuel mass also. (Ans. (i) 1849.2 kW (i) 0.241 kg/kWh (iii) 33.17%)
Transcribed Image Text:30. In a gas turbine installation, air is taken in L.P. compressor at 15°C 1.1 bar and after compression it is passed through intercooler where its temperature is reduced to 22°C. The cooled air is further compressed in H.P. unit and then passed in the combustion chamber where its temperature is increased to 677°C by burning the fuel. The combustion products expand in H.P. turbine which runs the compressor and further expansion is continued in the L.P. turbine which runs the alternator. The gases coming out from L.P. turbine are used for heating the incoming air from H.P. compressor and then exhausted to atmosphere. Taking the following data determine : (i) power output (ii) specific fuel consumption (iii) Thermal efficiency : Pressure ratio of each compressor = 2, isentropic efficiency of each compressor stage = 85%, isentropic efficiency of each turbine stage = 85%, effectiveness of heat exchanger = 0.75, air flow = 15 kg/sec., calorific value of fuel = 45000 kJ/kg, c,(for gas) = 1 kJ/kg K, c, (for gas) = 1.15 kJ/kg K, y (for air) = 1.4, y (for gas) = 1.33. Neglect the mechanical, pressure and heat losses of the system and fuel mass also. (Ans. (i) 1849.2 kW (i) 0.241 kg/kWh (iii) 33.17%)
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