A regenerative steam cycle uses two closed-feed heaters. Determine the amount of steam bled at each stage, the work output of the plant and cycle efficiency. It is known that: pA=40 bar, tA=500 C, pB=10 bar, pC=1.0 bar, pD=0.035 bar. Isentropic efficiencies of the steam turbine and pump are 0.85 and 0.90 respectively. Boiler supplies 10 kg/s steam to the turbine.
Inputs |
Units |
|
Pressure at A |
40,00 |
bar |
temperature at A |
500,00 |
C |
Pressure at B |
10,00 |
bar |
Pressure at C |
1,00 |
bar |
Pressure at D |
0,035 |
bar |
Pressure at G |
40,00 |
bar |
Mass flow through the system |
10,00 |
kg/s |
Turbine isentropic eff. |
0,85 |
. |
Pump isentropic eff. |
0,90 |
. |
Outputs |
||
Spec. enthalpy at A |
3444,99 |
kJ/kg |
Spec. entropy at A |
7,09 |
kJ/(kg.K) |
Isentropic enthalpy at B |
3032,71 |
kJ/kg |
Spec. enthalpy at B |
3094,55 |
kJ/kg |
Power generated at stage 1, POW1 |
3504,33 |
kW |
. |
. |
. |
Spec. entropy at B |
7,20 |
kJ/(kg.K) |
Isentropic enthalpy at C |
2615,07 |
kJ/kg |
Spec. enthalpy at C |
2686,99 |
kJ/kg |
Power generated at stage 2, POW2 |
3472,49 |
kW |
. |
. |
. |
Spec. entropy at C |
7,39 |
kJ/(kg.K) |
Isentropic enthalpy at D |
2210,69 |
kJ/kg |
Spec. enthalpy at D |
2282,14 |
kJ/kg |
Power generated at stage 3, POW3 |
3003,49 |
kW |
. |
. |
. |
Spec. enthalpy at H |
111,85 |
kJ/kg |
Spec. entropy at H |
0,39 |
kJ/(kg.K) |
Isentropic enthalpy at G |
116,00 |
kJ/kg |
Spec. enthalpy at G |
116,47 |
kJ/kg |
Power req. for pump |
46,21 |
kW |
. |
. |
. |
For the throttling process, I-J |
. |
. |
hE = hI = hJ |
762,61 |
kJ/kg |
For the throttling process, K-L |
. |
. |
hF = hK = hL |
417,51 |
kJ/kg |
Energy balance on FH1 gives, mB |
1,48 |
kg/s |
Energy balance on FH2 gives, mC |
1,10 |
kg/s |
Net power generated |
9934,10 |
kW |
Cycle efficiency |
0,370 |
. |