2.15). An auxiliary gas turbine uses a single-shaft configuration with air bled from the compressor discharge for workshop services. The unit must provide 1.5 kg/s bleed air and a shaft power of 200 kW. Calculate (a) the total compressor air mass flow and (b) the power available with no bleed flow, assuming the following: Combustion Compressor pressure ratio 3.80 chamber Turbine inlet temperature 1050K 3 Compressor isentropic efficiency, nc 0.85 Gen. Turbine isentropic efficiency, Ne 0.88 Compressor Turbine Mech. transmission efficiency, nmt 0.99 Mechanical drive efficiency, Nmd 0.98 Combustion Pressure losses, App 0.12 bar Ambient conditions,pa, Ta 1 bar, 288 K [4.78 kg/s, 633 kW] 2.16). Using the data from problem 2.15 and assuming a reheat pressure of 13 bar, evaluate the power and thermal efficiency for reheat temperatures of 1525, 1425 and 1325 K. Would this be a good strategy for part-load operation? [240, 214.6, 189.2 MW, efficiency almost constant]

2.15). An auxiliary gas turbine uses a single-shaft configuration with air bled from the compressor discharge for workshop services. The unit must provide 1.5 kg/s bleed air and a shaft power of 200 kW. Calculate (a) the total compressor air mass flow and (b) the power available with no bleed flow, assuming the following: Combustion Compressor pressure ratio 3.80 chamber Turbine inlet temperature 1050K 3 Compressor isentropic efficiency, nc 0.85 Gen. Turbine isentropic efficiency, Ne 0.88 Compressor Turbine Mech. transmission efficiency, nmt 0.99 Mechanical drive efficiency, Nmd 0.98 Combustion Pressure losses, App 0.12 bar Ambient conditions,pa, Ta 1 bar, 288 K [4.78 kg/s, 633 kW] 2.16). Using the data from problem 2.15 and assuming a reheat pressure of 13 bar, evaluate the power and thermal efficiency for reheat temperatures of 1525, 1425 and 1325 K. Would this be a good strategy for part-load operation? [240, 214.6, 189.2 MW, efficiency almost constant]

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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Question

2.15). An auxiliary gas turbine uses a single-shaft configuration with air bled from the compressor
discharge for workshop services. The unit must provide 1.5 kg/s bleed air and a shaft power of
200 kW. Calculate (a) the total compressor air mass flow and (b) the power available with no bleed
flow, assuming the following:
Compressor pressure ratio
Combustion
chamber
3.80
Turbine inlet temperature
1050K
Y3
Compressor isentropic efficiency, nc
0.85
Gen.
Turbine isentropic efficiency, Ne
0.88
Compressor
Turbine
Mech. transmission efficiency,nmt
0.99
Mechanical drive efficiency, Nmd
0.98
Combustion Pressure losses, App
0.12 bar
Ambient conditions,pa, Ta
1 bar, 288 K
[4.78 kg/s,633 kW]
2.16). Using the data from problem 2.15 and assuming a reheat pressure of 13 bar, evaluate the
power and thermal efficiency for reheat temperatures of 1525, 1425 and 1325 K. Would this be a
good strategy for part-load operation?
[240, 214.6, 189.2 MW, efficiency almost constant]
2.17). A single-shaft gas turbine for electric power generation has been steadily developed over
time. Cycle data for three versions are given below, A being the initial version:
Data
A
C
Polytropic efficiency (compressor)
0.87
0.88
0.89
Polytropic efficiency (turbine)
0.89
0.88
0.88
Compressor pressure ratio
9.0
12.0
16.0
Compressor pressure loss (%)
5.0
5.0
5.0
Turbine inlet temperature (K)
1150
1400
1600
Rotor cooling bleed (%)
2.5
5.0
Airflow (kg/s)
75.0
80.
85.0
Assume combustion efficiency and mechanical efficiency are both 0.99 and ignore inlet and
exhaust pressure losses.
(a) Calculate the power and SFC for each version.
(b) Calculate the percentage improvement from version A.
(c) Calculate the exhaust gas temperature for each version and comment on their effect for a
cogeneration plant.
[(a) 14370 kW, 0.304 kg/kWh, 440 °C; (c) 31093 kW, 0.251 kg/kWh, 606 °C.]

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