The document outlines the key components of a condensate-feedwater system for a steam power plant. It discusses condensers, which condense exhaust steam to recover high-quality feedwater. There are two main types of condensers: direct-contact and surface condensers. It also discusses feedwater heaters, which heat condensate and feedwater to improve cycle efficiency, and boilers, which produce high-pressure steam. The document provides diagrams of typical condensate-feedwater systems and outlines calculations for designing surface condensers.
2. รศ.ดร.สมหมาย ปรีเปรม 2
References:
1. El-Wakil, M.M., Powerplant Technology, International ed., McGraw-Hill
Book Co., 1984.
2. Kam W. Li.,and Paul Priddy A.,Power Plant System Design, John Wiley
& Sons, Inc., 1985.
3. Drbal Lawrence F.(editor),et.al., Power Plant Engineering: by Black
Veatch, Chapman & Hall Book, 1996.
4. Hicks Tyler G.(editor), Power Generation Calculations Reference Guide,
McGraw-Hill Book Co., 1985.
Related Websites:
http://www.egat.co.th/english/index.htm
http://www.egat.co.th/english/powerplants/namphong.htm
http://en.wikipedia.org/wiki/Power_plant
http://www3.toshiba.co.jp/power/english/thermal/index.htm
http://www.cheresources.com/ctowerszz.shtml
3. รศ.ดร.สมหมาย ปรีเปรม 3
Outline of this chapter:
• Overview of condensate & feedwater
• Direct contact condenser
• Surface condenser
• Surface condenser calculations
• Closed feedwater heater
• Open feedwater heater
• Boiler makeup and treatment
4. รศ.ดร.สมหมาย ปรีเปรม 4
Turbine
wt
Condenser Qc
1
2
Steam Power Plant with Feedwater Heater
Cooling
Water
3
Feedwater
Heater
Pump
4
5
6
Feedwater
Pump
7
Turbine
wt
Boiler
QB
Condenser Qc
1
2
Cooling
Water
3
7
8
Feedwater
Heater
Pump
4
6 5
Open type feedwater heater Closed type feedwater heater
Boiler
QB
5. รศ.ดร.สมหมาย ปรีเปรม 5
FWH 2 FWH 1
Turbine
wt
Condenser
Cooling
Water
Pump
FWH 4 FWH 3
Pump
Boiler
QB
Steam Power Plant with 4-Feedwater Heaters
Vent
Feedwater
6. รศ.ดร.สมหมาย ปรีเปรม 6
T
s
P1
2
3
Condenser:
2-importants functions
1. to condense exhaust steam recover
the high-quality feedwater (reduce cost)
2. to create low back pressure (vacuum)
of the turbine. more turbine work
higher efficiency
Condenser
2
Cooling
Water
P2a
P2b
2
3
2-type of condenser
1. Direct Contact
2. Surface Condenser
7. รศ.ดร.สมหมาย ปรีเปรม 7
Feedwater Heater
Purpose: to improve cycle efficiency by heating
the condensate and feedwater, by bled steam
from stesm turbine, before returning to the
steamgenerator.
2-types of feedwater heater
1. surface or shell-and-tube type.
2. open or direct-contact or deareating type
8. รศ.ดร.สมหมาย ปรีเปรม 8
6-2 Direct-Contact Condenser
Non-condensable
to SJAE
Dry Cooling Tower
To plant feedwater system
Condenser
Turbine exhaust
2
Pump
3
4
5
Steam is directly mixed with
spray cooling water causes
the steam to condense and
becomes “Condensate” 5
3
3
2
3
5
2
2
5
3
5
2
3
5
2
h
h
h
h
m
m
m
m
m
:
balance
Mass
h
m
h
m
h
m
:
balance
Energy
o
o
o
o
o
o
o
o
9. รศ.ดร.สมหมาย ปรีเปรม 9
Example 6.1 Find the ratio of circulating water to steam
flows if the condenser pressure is 1 psia and the
coolig tower cools the water to 60 F. Assume turbine
exhaust at 90 percent quality.
5
3
3
2
3
5
2
2
5
3
5
2
3
5
2
h
h
h
h
m
m
m
m
m
:
balance
Mass
h
m
h
m
h
m
:
balance
Energy
o
o
o
o
o
o
o
o
Solution h2 = hf + xhfg
h2 = 69.73 +(0.9 x 1036.1)
= 69.73 Btu/lbm
h3 = hf @P3 = 69.73 Btu/lbm
h5 ~ hf @ 60oF = 28.06 Btu/lbm
mo
5/mo
2 = 22.38 answer
10. รศ.ดร.สมหมาย ปรีเปรม 10
Barometric and Jet Condenser
pipe
tail
in
drop
Pressure
ΔP
Pressure
Condenser
P
pressure
c
atmospheri
P
)
s
*
m(N
*
1kg
or
)
s
*
ft(lb
*
lbm
32.2
factor,
conversion
g
m/s
or
ft/s
acc.,
nal
gravitatio
g
m
or
ft
tailpipe,
of
height
h
kg/m
or
/ft
lb
mixture,
of
density
ρ
P
P
P
g
g
h
f
cond
atm
2
2
f
c
2
2
3
3
3
m
f
cond
atm
c
Barometric Condenser
Jet Condenser
11. รศ.ดร.สมหมาย ปรีเปรม 11
Water Box
Discharge
water outlet
Water Box
Condenser
Shell
Air-Vapor outlet
Tubes
Cold Water inlet
Condensate outlet
Steam inlet
Surface Steam Condenser
• Most common used in powerplants.
• It is shell-and-tube type heat exchanger.
• Size up to 1 million ft2 (93,000 m2) heat transfer area.
12. รศ.ดร.สมหมาย ปรีเปรม 12
Discharge
water outlet
Water Box
Condenser
Shell
Air-Vapor outlet
Cold Water inlet
Condensate outlet
Steam inlet
2-Pass Steam Condenser
13. รศ.ดร.สมหมาย ปรีเปรม 13
• Number of pass: Single pass, Two pass
• Single and Multipressure Condenser.
• Tube Sizes (appendix K)
– OD, Gage (BWG), Thickness, ID, A/ft
• Tube Materials (table 6.2)
– stainless steel, copper, Alluminum-Brass, Aluminum-Bronz
– type 304 staimless steel is most popular used.
6-3 Surface Condenser
15. รศ.ดร.สมหมาย ปรีเปรม 15
• Noncondensable gases must be removed.
• Noncondensable ie, air :
– Leak into the system at setion that operates below Patm,
such as condenser section.
– Decomposition of water to H and O by thermal or chemical
reaction.
• Problems of having noncondensable gases:
– raise total pressure higher condenser pressure less
turbine output lower plant efficiency.
– They “Blanket” the heat transfer area, ie, condenser.
– Cause chemical activities, ie. O2 corrosion.
Deaeration
16. รศ.ดร.สมหมาย ปรีเปรม 16
• Process to remove noncondensable gases is called
‘Deaeration’
• Most Fossil powerplants have a deaerating feedwater
heater.
• Condenser must have good deaeration.
• Good deaeration in condenser required time,
turbulence, and good venting equipment.
• Noncondensables are cooled to reduce volume before
‘Pump out’.
• Venting equipment: Reciprocating compressor (Dry
vacuum pump); Steam-Jet air Ejector (SJAE)
Deaeration
17. รศ.ดร.สมหมาย ปรีเปรม 17
First-stage ejector
Second-stage ejector
Intercondenser
Aftercondenser
Noncondensible in
steam
Drain
Drain
Venet
Condensate out
Condensate in
A two-stage steam-jet air ejector (SJAE)
18. รศ.ดร.สมหมาย ปรีเปรม 18
• Heat transfer Surface Area
– Heat Load
– Tube material and size
– Fluid properties
– Flow velocity
• Pressure drop
– Tube size
– flow velocity
6-4 Surface-Condenser Calculations
19. รศ.ดร.สมหมาย ปรีเปรม 19
Steam
Schematic diagram of a condenser tube.
ri ro
Water
Tw
q
Ts
(2)
)
T
T
UA(
q
(1)
A
h
kL
)
r
/
r
ln(
A
h
T
T
q
w
s
o
o
o
i
i
i
w
s
1
2
1
L
22. รศ.ดร.สมหมาย ปรีเปรม 22
• Method proposed by the Heat Exchange Institute Standards for
Steam Surface Condenser:
Q = UAΔTm (6-5)
where: Q = heat load on condenser,
U = overall condenser heat-transfer coefficient, based
on outside tube area,
A = total out side tube surface area,
ΔTm = log mean temperature difference in the
condenser:
ΔTm = (ΔTi – ΔTo)/ln(ΔTi /ΔTo) (6-6)
U = C1C2C3C4 √V (6-7)
Surface-Condenser Calculations
23. รศ.ดร.สมหมาย ปรีเปรม 23
V cooling water velocity
C1 factor depend upon tube OD
C2 Correction factor for cooling
water inlet temp.
C3 Correction factor for tube
material and gage.
C4 Cleanliness factor
24. รศ.ดร.สมหมาย ปรีเปรม 24
• Heat balance: mo
w Cp(T2 – T1) = Q (6-8)
• Pressure drops
ΔPtotal = ΔPWater Box + ΔPtubes
ΔPtotal = ρh (g/gc) (6-9)
Circulating-water flow and pressure drop
25. รศ.ดร.สมหมาย ปรีเปรม 25
Fig 6-10 Pressure drop in a condenser
water boxes, express as head in feet, A-
one pass, B-two pass.
Fig 6-11 Pressure drop in a condenser tubes, express as
head in feet per foot length of tubes.
26. รศ.ดร.สมหมาย ปรีเปรม 26
Calculation Procedure
1. Select number of pass (1 or 2)
2. Selected Tube; Material, Size, Thickness. k, h (Table K)
3. Selected Water velocity in tube
4. The value U can be determine ( Table 6-2)
5. Calculate amount of heat transfer rate, Q required (total load
in condenser)
6. Heat transfer surface area, A, can be calculated (eqn 6-8)
7. Total length of tube, L, can be calculated.
8. With given length per tube no. of tubes is calculated
9. determine head loss in water boxes (fig 6-10)
10. determine head loss in tubes (fig 6-11)
11. Total head loss in condenser can be determined.(eqn. 6-9)
27. รศ.ดร.สมหมาย ปรีเปรม 27
Example 6-2 Design a condenser that would
handle 3x106 lbm/h of 90% quality steam at 1
psia, as well as 360,000 lbm/h of 112 oF drain
water from the low-pressure feedwater heater,
and 1,875 lbm/h of 440 oF drains from the jet
air ejector. Fresh water is available at 70 oF.
28. รศ.ดร.สมหมาย ปรีเปรม 28
Solution
Heat transfer calculations: select:
1. A two pass condenser
2. Type 304 stainless steel tubing
3. Tube: 50 ft in length, 7/8” OD, 18 BWG
4. TTD = 6 oF
5. Inlet water velocity = 7 ft/s
Heat Load Q = Turbine exhaust + Low-pressure drain + SJAE drain
= 2.802 x 109 Btu/h
ΔTi = Tsat – Twi = 101.74 – 70 = 31.74 oF
ΔT0 = TTD = 6 oF
ΔTm = (ΔTi – ΔTo)/ln(ΔTi /ΔTo) = 15.45 oF
U = 263 x 1.00 x 0.58 x 0.85 x √7 = 343.0 Btu/(h ft2 oF)
A = Q/U ΔTm = 528,675 ft2
29. รศ.ดร.สมหมาย ปรีเปรม 29
for 7/8” OD tube A/L = 0.2291 ft2/ft (App.K)
therefore:
total length of tube = 528,675 ft2 / 0.2291 ft2/ft
= 2,307,615 ft
and, number of tube = 2,307,615 ft / 50 ft/tube
= 46,150 tubes
Water calculation:
T2 – T1 = (ΔTi – ΔTo) = 31.74 – 6 = 25.74 oF
for Cp = 0.99 Btu/(lbm oF)
mo
w = Q / Cp(T2 – T1)
= 2.802 x 109 Btu/h /[0.99 Btu/(lbm oF) x 25.74 oF]
= 1.0996 x 108 lbm/h
30. รศ.ดร.สมหมาย ปรีเปรม 30
Volume flow rate, = mov
= (1.0996 x 108 lbm/h)(0.01605ft3/lbm)/(60 min/h)
= 29,414 ft3/min;
= 29,414 x 7.481 = 220,043 gal/min
Pressure drop in water box ( fig. 6-10) = 2.7 ft
Pressure drop in tubes ( fig. 6-11) = 0.32 ft/ft
Tube:allow for 1.2” thick tube sheet actual length of each tube
= 50 + 2x(1.2/12) = 50.2 ft
total pressure drop = 0.32 ft/ft x 50.2 ft/tube x 46,150 tubes
= 741,353.6 ft
total head loss = 2.7 ft + 741,353.6 ft = 741,356.3 ft
total pressure drop ,ΔPtotal = ρh (g/gc)
= (62.3 lbm/ft3)(741,356.3 ft)(32.2/32.2)
= 46,186,497.49 psi
31. รศ.ดร.สมหมาย ปรีเปรม 31
Volume flow rate, = mov
= (1.0996 x 108 lbm/h)(0.01605ft3/lbm)/(60 min/h)
= 29,414 ft3/min;
= 29,414 x 7.481 = 220,043 gal/min
Pressure drop in water box ( fig. 6-10) = 2.7 ft
Pressure drop in tubes ( fig. 6-11) = 0.32 ft/ft
Tube:allow for 1.2” thick tube sheet actual length of each tube = 50 +
2x(1.2/12) = 50.2 ft
total pressure drop = 0.32 ft/ft x 50.2 ft/tube x 2 = 32.13 ft
total head loss = 2.7 ft + 32.13 ft = 34.83 ft
total pressure drop ,ΔPtotal = ρh (g/gc)
= (62.3 lbm/ft3)(34.83 ft)(32.2/32.2)= 2,169.91 lbf/ft2
Wo = mov ΔP
= (1.0996 x 108 lbm/h)(0.01605ft3/lbm)(2,169.91 psf)
= 3.8295 x 109 ft-lbf/h = 3.8295 x 109 /(60 x 33,000) = 1,915 HP