A combined gas turbine–vapor power plant operates as in Fig. Steady-state data at principal states of the combined cycle are given in the table below. An air-standard analysis is assumed for the gas turbine in which the air passing through the combustor receives energy by heat transfer at a rate of 50 MW. Except for the combustor, all components operate adiabatically. Kinetic and potential energy effects are negligible. Determine (a) the mass flow rates of the air, steam, and cooling water, each in kg/s, (b) the net power developed by the gas turbine cycle and the vapor cycle, respectively, each in MW, (c) the thermal efficiency of the combined cycle.
A combined gas turbine–vapor power plant operates as in Fig. Steady-state data at principal states of the combined cycle are given in the table below. An air-standard analysis is assumed for the gas turbine in which the air passing through the combustor receives energy by heat transfer at a rate of 50 MW. Except for the combustor, all components operate adiabatically. Kinetic and potential energy effects are negligible. Determine (a) the mass flow rates of the air, steam, and cooling water, each in kg/s, (b) the net power developed by the gas turbine cycle and the vapor cycle, respectively, each in MW, (c) the thermal efficiency of the combined cycle.
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
A combined gas turbine–vapor power plant operates as in Fig. Steady-state data at principal states of
the combined cycle are given in the table below. An air-standard analysis is assumed for the gas turbine
in which the air passing through the combustor receives energy by heat transfer at a rate of 50 MW.
Except for the combustor, all components operate adiabatically. Kinetic and potential energy effects are
negligible. Determine (a) the mass flow rates of the air, steam, and cooling water, each in kg/s, (b) the
net power developed by the gas turbine cycle and the vapor cycle, respectively, each in MW, (c) the
thermal efficiency of the combined cycle.
Transcribed Image Text:Qin
T = 690 K
P2 = 13.6 bar 2-
T3 = 1580 K
3 P3=13 bar
Combustor
State
p (bar)
T ("C)
h (kJ/kg)
25
298.2
14
691.4
1663.9
923.2
475.3
204.5
3341.8
2175.6
191.8
Gas turbine
14
1250
Compressor
Turbine
4
1
Wgas
5
1
200
147 MW
T, = 300 K
+1 P =1 bar
125
125
0.1
0.1
500
-4 T = 900 K
P4 = 1 bar
8
Air inlet
9
10
20
84.0
Exhaust
T = 400 K
Ps = 1 bar
11
35
146.7
T, = 520°C
P7 = 100 bar
Heat exchanger
Turbine
++
P6 =P7
Steam
Wvap
сycle
n = 85%
Pump
Condenser n ėout
9
7, = 80%
P9 = Pg=0.08 bar
-menonoag
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