irreversibilities : turbine to condenser-ii
DESCRIPTION
Irreversibilities : Turbine to Condenser-II. P M V Subbarao Professor Mechanical Engineering Department I I T Delhi. Loss in Capacity of Turbine & Increase in Capacity of Condenser…. Irreversible Adiabatic Flow Through Turbine : SSSF. in. h 0. exitactual. exitiso. s. - PowerPoint PPT PresentationTRANSCRIPT
Irreversibilities : Turbine to Condenser-II
P M V SubbaraoProfessor
Mechanical Engineering DepartmentI I T Delhi
Loss in Capacity of Turbine & Increase in Capacity of Condenser….
Irreversible Adiabatic Flow Through Turbine : SSSF
h0
sexitiso
Ideal work wiso = h0in – h0exitiso
Actual work wact = h0in – h0exitact
Internal Efficiency of a turbine
exitisoin
exitactinturbineiso hh
hh
,0,0
,0,0,
exitactual
actexit
exitin
in wV
hV
h 22
22
in
actexitin whh 00
Losses in Turbine Stage
• Losses in Regulating valves : The magnitude of loss of pressure due to throttling with the regulating valves fully open is:
pv = 3 to 5% of pmax.
• Loss in nozzle blades.• pressure loss in moving blades.• Loss due to exit velocity.• Loss due to friction of the disc and blade banding• Loss associated with partial admission.• Loss due to steam leakages through clearances.• Loss due to flow of wet steam.• Loss due to exhaust piping.• Loss due to steam leakage in seals.
Losses in Nozzles
• Losses of kinetic energy of steam while flowing through nozzles or guide blade passages are caused because of – Energy losses of steam before entering the nozzles, – Frictional resistance of the nozzles walls, – Viscous friction between steam molecules, – Deflection of the flow, – Growth of boundary layer, – Turbulence in the Wake and – Losses at the roof and floor of the nozzles.
• These losses are accounted by the velocity coefficient, .
Stage Internal Power at Designed Condition
02000400060008000
1000012000140001600018000
Stage
Inte
rnal
Pow
er (k
J/kg
)
Internal Power
500 MW
0.6
0.7
0.8
0.9
1
1.1
1.2
1.3
1.4
Stages
Loss
es (k
J/kg
)
Nozzle loss
Moving blade loss
Nozzle & Moving Blade Losses for HP Stages : 500 MW
0
0.5
1
1.5
2
2.5
3
3.5
Stages
Loss
es (k
J/kg
)
Nozzle loss
Moving blade loss
Nozzle & Moving Blade Losses for IP Stages : 500 MW
0123456789
10
Stages
Loss
es (k
J/kg
)
Nozzle loss
Moving blade loss
Nozzle & Moving Blade Losses for LP Stages : 500 MW
H-s Diagram of Turbine Exhaust Steam
Irreversible Flow Turbine Exit to Condenser
P M V Subbarao Professor
Mechanical Engineering DepartmentI I T Delhi
Irreversibilities due to Closed Cycle Policy …..
The Last Stage of LP Turbine
LP Turbine Exhaust System • In a condensing steam turbine, the low-pressure exhaust hood,
consisting of a diffuser and a collector or volute!, connects the last stage turbine and the condenser.
• The function of the hood is to transfer the turbine leaving kinetic energy to potential energy while guiding the flow from the turbine exit plane to the condenser.
• Most of exhaust hoods discharge towards the downward condenser. • Flow inside the hood therefore must turn about 90 deg from the
axial direction to the radial direction before exhausting into the condenser.
• The 90-deg turning results in vortical flow in the upper half part of the collector and also high losses.
• The exhaust hood is one of the few steam turbine components that has the considerable aerodynamic losses.
• It is a challenge for engineers to operate a hood with high pressure recovery and low total pressure loss in a compact axial length.
H-s Diagram of Turbine Exhaust Steam
exhaustturbinep ,
exhaustturbine,p ,0
2
2,lastaeV
condenserp
,condenserp0
Exhaust Hood
Exhaust Diffuser For L P Turbine
Steam Turbine Exhaust Size Selection
• The steam leaving the last stage of a condensing steam turbine can carry considerably useful power to the condenser as kinetic energy.
• The turbine performance analysis needs to identify an exhaust area for a particular load that provides a balance between exhaust loss and capital investment in turbine equipment.
Path Lines in Exhaust Hood
Residual velocity loss
• Steam leaving the last stage of the turbine has certain velocity, which represent the amount of kinetic energy that cannot be imparted to the turbine shaft and thus it is wasted
Exhaust end loss
1. Exhaust end loss occur between the last stage of low pressure turbine and condenser inlet.
2. Exhaust loss depends on the absolute steam velocity.
Turbine Exhaust end loss = Expansion-line -end point - Used energy at end point.
Turn-up loss
Total Exhaust Loss
Gross hood loss
Actual leaving loss
Annulus restriction loss
Annulus Velocity (m/s)
Exh
aust
Los
s, k
J/kg
of
dry
flow
0 120 240 180 240 300 360
10
20
30
40
50Annulus velocity (m/s)
Condenser flow rate
Annulus area
Percentage of Moisture at the Expansion line end point
Typical exhaust loss curve showing distribution of component loss
SP.Volume
an
steamexan A
xvmV
3600
01.01.
Optimal Design of Exhaust Hood
H-s Diagram of Turbine Exhaust Steam
exhaustturbinep ,
exhaustturbine,p ,0
2
2,lastaeV
condenserp
,condenserp0