condenser sizing calculation
DESCRIPTION
NTPC DOCUMENTTRANSCRIPT
KUDGI SUPER THERMAL POWER PROJECT STAGE-I (3X800 MW)
OWNER
NTPC Limited (A Government of India Enterprise)
CONTRACTOR TOSHIBA JSW TURBINE & GENERATOR PRIVATE LIMITED
CONTRACT NO. CS-9573-110-2-FC-COA-5661, CS-9573-110-2-SC-COA-5662, CS-9573-110-2-TC-COA-5663
SUB-CONTRACTOR TOSHIBA CORPORATION, JAPAN
OWNER’S DOC. NO. 9573-110-PVM-U-018
SUB-CONTRACTOR’s DOC. NO.
REV. DDKV71215 d
DRG. / DOC. TITLE SIZING CALCULATION OF CONDENSER
PURPOSE FOR APPROVAL / FOR INFORMATION
[Revision Status for Owner’s Document No.]
02 13/Sep/2012 Revised as per design progress R. Y Y. F Y. F
01 25/July/2012 Revised as per design progress R. Y S. M Y. F
REV. NO. DATE DESCRIPTION REVISED BY CHECKED BY APPROVED BY
ISSUED BY - TOSHIBA JSW TURBINE & GENERATOR PVT. LTD.
NAME SIGNATURE
APPROVED BY Y. Fuki Y. F REV. NO. 00
CHECKED BY Y. Fuki Y. F
PREPARED BY S. Mori S. M DATE 7/June/2012
TOSHIBA JSW TURBINE & GENERATOR PVT. LTD.
© THE INFORMATION IN THIS MATERIAL IS CONFIDENTIAL AND CONTAINS TOSHIBA’s INTELLECTUAL PROPERTY INCLUDING KNOW-HOW. IT SHALL NOT BE DISCLOSED TO ANY THIRD PARTY, COPIED, REPRODUCED, USED FOR UNAUTHORIZED PURPOSES NOR MODIFIED WITHOUT PRIOR WRITTEN CONSENT OF TOSHIBA.
RE
VIS
ION
DD KV71215-d
20 1
社内配付先
DISTRIBUTION
NETSU-SETSU
発行部課名
ISSUED BY
承 認 APPROVED BY
タービン機器部
熱交換器設計担当
調 査 REVIEWED BY 担 当 PREPARED BY
R.Yasuki
TURBINE PLANT EQUIPMENT DEPT. HEAT EXCHANGER DESIGN GROUP
Sep.13.2012
設計要項表 Design Data Sheet
名称 TITLE
Sizing Calculation of Condenser
客先名 CUSTOMER : NTPC Limited 系統機器 EQ/SYS. : Condenser 製番 JOB : -- プラント PROJECT : KUDGI SUPER THERMAL POWER PROJECT
STAGE-I (3X800 MW)
The information in this material is confidential and contains Toshiba’s intellectual property including know-how. It shall not be disclosed to any third party, copied, reproduced, used for unauthorized purposes nor modified without prior written consent of Toshiba.
Toshiba Corporation
DD KV71215-d
20 2 設計要項表 Design Data Sheet
Contents
1. Design Specification 3
2. Calculation of Circulating Water flow rate 4
3. Thermal Calculation 5
3.1 L.P. Condenser 5
3.2 H.P. Condenser 8
4. Hydraulic Calculation 11
4.1 L.P. Condenser 11
4.2 H.P. Condenser 12
4.3 Total loss of Condenser 12
5. Hotwell Storage Capacity 13
6. Steam and Condensate flow 14
Appendix
・ UNCORRECTED HEAT TRANSFER COEFFICIENTS Figure 1 *
・ INLET WATER TEMPERATURE CORRECTION FACTOR Figure 2 *
・ TUBE MATERIAL AND GAUGE CORRECTON FACTORS Table 3 *
・ TEMPERATURE CORRECTION FOR FRICTION LOSS IN TUBES Figure 7 *
・ WATER BOX AND TUBE END LOSSES SINGLE PASS CONDENSER Figure 8 *
*HEI STANDARD for STEAM SURFACE CONDENSERS 10th EDITION
DD KV71215-d
20 3 設計要項表 Design Data Sheet
1.Design Specification
Number One(1)/unit (L.P.)
One(1)/unit (H.P.)
Type Horizonal surface cooling
Tube surface area (m2) 29,011 (L.P.)
29,011 (H.P.)
Tube Specification
Material ASTM A249 TP316L (Stainless)
Outside diameter (mm) D=25.4
Thickness (mm) t=0.711 (Refer to below table.)
(mm) t=0.889 (Refer to below table.)
Effective length (mm) 14,375
Overall length (mm) 14,431
Number of tubes (per shell)
Location Thickness (mm) Number
Condensing Zone t=0.711 22,764
t=0.889 2,528
Total - 25,292
Number of water passes One(1)
Cooling water source Fresh Water
Cleanliness factor Fc=0.90 (90%)
Main Cooling Water (m3/min.) 1,310 (78,600 m3/hr)
Applied Codes & Standards
Heat Exchange Institute 10th (HEI 10th)
d d
DD KV71215-d
20 4 設計要項表 Design Data Sheet
2.Calculation of Circulating Water flow rate.
a.Heat duty (L.P.Condenser)
Flow RateSpecificEnthalpy
HEAT(Enthalpy)
kg/h kcal/kg kcal/kg kcal/hMain Turbine Exhaust 659,579 × ( 564.1 - 40.9 ) = 3.4509173E+08BFP Turbine Exhaust 67,223 × ( 590.2 - 40.9 ) = 3.69256E+07Turbine Gland Seal Steam 1,614 × ( 750.4 - 40.9 ) = 1.14513E+06
Total = 3.83162E+08Heat Duty : 3.83162E+08
b.Heat duty (H.P.Condenser)
Flow RateSpecificEnthalpy
HEAT(Enthalpy)
kg/h kcal/kg kcal/kg kcal/hMain Turbine Exhaust 695,547 × ( 570.1 - 46.1 ) = 3.6446663E+08BFP Turbine Exhaust 68,895 × ( 594.5 - 46.1 ) = 3.77820E+07Drain from Gland Steam Condenser 1,339 × ( 99.1 - 46.1 ) = 7.09670E+04Drain From LP No.1Heater 173,689 × ( 53.0 - 46.1 ) = 1.19846E+06Make-up Water 73,656 × ( 46.1 - 46.1 ) = 0.00000E+00L.P Condenser Drain 728,416 × ( 40.9 - 46.1 ) = -3.78776E+06
Total = 3.99730E+08Heat Duty : 3.99730E+08
c.Circulating Water
Cp・γ= 9.920E+02 kcal/m3℃
Upper Limit of Temperature Rise :Δt’ 10.04 ℃
9.920E+02 10.04
1310Circulating Water Flow Rate
1310 m3/min(78600 m3/h)
Enthalpy ofCondensate
Heat Balance : 3GMG04302(VWO, 3% m.u.,67mmHg)
7.82893E+08
Heat Balance : 3GMG04302(VWO, 3% m.u.,67mmHg)
Enthalpy ofCondensate
= m3/min
D1 = kcal/h
Q =
Q= D1 + D2
Cp ・ γ ・ Δt’
=
= x/60
D2 = kcal/h
d
d
d
d
d
d
DD KV71215-d
20 5 設計要項表 Design Data Sheet
3.Thermal Calculation
3.1L.P. Condenser
a.Water velocity in Tubes
Thickness 0.711 mm Number of Tube 22,764 Inner Diameter of Tubes di1 = 0.0240 m Thickness 0.889 mm Number of Tube 2,528 Inner Diameter of Tubes di2 = 0.0236 m
(1) Water velocity in Tubes : V1 m/s ( Thickness 0.711 mm )
Q
13100.0236
0.0240 22764 0.023622 2528 0.0240 )
1.919 m/s
V1 = 1.92
(2) Water velocity in Tubes : V2 m/s ( Thickness 0.889 mm )
V1 X di2di1
1.92× 0.02360.0240
=1.900m/s
V2 = 1.90
2π4
×60
N1 =
=
=
m/s
V1 =π4
・ 60 ・ (d i1 2・ N1 + d i2 2・ N2・(di2/di1)(1/1.4) )
×(
N2 =
2 (1/1.4)
m/s
V2 = (1/1.4)
(1/1.4)
=
× + +
× ×
DD KV71215-d
20 6 設計要項表 Design Data Sheet
b.Heat Transfer Coefficient
Heat Transfer Coefficient : U kcal/m2 h ℃
U = U1×FW×FM×FC
U1 : Uncorrected Heat Transfer Coefficients(Figure.1)FW : Inlet Water Temperature Correction Factor(Figure.2)FM : Tube Material and Gauge Correction Factor(Table.3)FC : Cleanliness Factor
(1) Heat Transfer Coefficient : Ua ( Thickness 0.711mm )3220.7 kcal/m2 h ℃
from Fig.1 V= 1.92 m/s ( 6.299 ft/s ) , Diameter of Tubes 25.4 mmU1= 659.71 ( 1.0 in )
1.079
from Fig.2 Inlet Water Temperature 33.0 ℃ ( 91.4° ) Correction Factor
0.854
from Table.3 Tube Material (Stainless Steel), Thickness ( 0.711mm ) Correction Factor
0.9Cleanliness Factor : 90%
3220.7 1.079 0.854 0.90 2670.9
(2) Heat Transfer Coefficient : Ub ( Thickness 0.889mm )
3203.5 kcal/m2 h ℃
from Fig.1 V= 1.900 m/s ( 6.233 ft/s ) , Diameter of Tubes 25.4 mm U1= 656.19 ( 1.0 in )
0.815
from Table.3 Tube Material (Stainless Steel), Thickness ( 0.889mm ) Correction Factor 0.9
Cleanliness Factor : 90%
3203.5 1.079 0.815 0.90 2535.3
(3) Average Heat Transfer CoefficientUa X N1+ Ub X N2N1 + N2
2670.9 22764 2535.3 252822764 2528
2657.35
2657.3 kcal/m2 h ℃
U1 =
F
FW =
FM =
FC =
Ua = × × X kcal/m2 h ℃
U m=
=
FM =
FC =
Ub = × × kcal/m2 h ℃ =
U1 =
Um =
=× + ×
+
=
Btu/h・ft2・F
Btu/h・ft2・F
: Um
×
d
d
d
d
d
DD KV71215-d
20 7 設計要項表 Design Data Sheet
c.Logarithmic Mean Temperature Difference : θm
Circulating Water Temperature rise : Δt
3.83162E+089.920E+02 1310
4.91 ℃
40.84
37.91
4.9133.0
7.84 - 2.93 4.98
7.84 2.93
d.Required Tube Surface Area : Areq m2
3.83162E+082657.3 4.98
28953.9
e.Actual Tube Surface Area :A
A = π × 0.02540 × 14.375 × 25292 = 29011.8 m 29011 m > Areq
Δt = D1
Cp ・ γ ・ Q ・ 60=
=
t2 = ℃
Δt = ℃
ts = ℃ ( at 702.1mmHg_vac)
θm=( ts - t1 )-( ts - t2 )
( ts - t1 )( ts - t2 )
ln=
ln= ℃
t1 = ℃
Areq = D1Um ・ θm
=×
= m2
2 →
2
X
Saturated SteamTemperature
× 60
d
d
d
d
DD KV71215-d
20 8 設計要項表 Design Data Sheet
3.2H.P Condenser
a.Water velocity in Tubes
Thickness 0.711 mm Number of Tube 22,764 Inner Diameter of Tubes di1 = 0.0240 m Thickness 0.889 mm Number of Tube 2,528 Inner Diameter of Tubes di2 = 0.0236 m
(1) Water velocity in Tubes : V1 m/s ( Thickness 0.711 mm )
Q
13100.0236
0.0240 22764 0.023622 2528 0.0240 )
1.919 m/s
V1 = 1.92
(2) Water velocity in Tubes : V2 m/s ( Thickness 0.889 mm )
V1 X di2di1
1.92× 0.02360.0240
=1.900m/s
V2 = 1.90
2π4
×60
N1 =
=
=
m/s
V1 =π4
・ 60 ・ (d i1 2・ N1 + d i2 2・ N2・(di2/di1)(1/1.4) )
×(
N2 =
2 (1/1.4)
m/s
V2 = (1/1.4)
(1/1.4)
=
× + +
× ×
DD KV71215-d
20 9 設計要項表 Design Data Sheet
b.Heat Transfer Coefficient
Heat Transfer Coefficient : U kcal/m2 h ℃
U = U1×FW×FM×FC
U1 : Uncorrected Heat Transfer Coefficients(Figure.1)FW : Inlet Water Temperature Correction Factor(Figure.2)FM : Tube Material and Gauge Correction Factor(Table.3)FC : Cleanliness Factor
(1) Heat Transfer Coefficient : Ua ( Thickness 0.711mm )3220.7 kcal/m2 h ℃
from Fig.1 V= 1.92 m/s ( 6.299 ft/s ) , Diameter of Tubes 25.4 mmU1= 659.71 ( 1.0 in )
1.101
from Fig.2 Inlet Water Temperature 37.91 ℃ ( 100.2° ) Correction Factor
0.854
from Table.3 Tube Material (Stainless Steel), Thickness ( 0.711mm ) Correction Factor
0.9Cleanliness Factor : 90%
3220.7 1.101 0.854 0.90 2725.4
(2) Heat Transfer Coefficient : Ub ( Thickness 0.889mm )
3203.5 kcal/m2 h ℃
from Fig.1 V= 1.900 m/s ( 6.233 ft/s ) , Diameter of Tubes 25.4 mm U1= 656.19 ( 1.0 in )
0.815
from Table.3 Tube Material (Stainless Steel), Thickness ( 0.889mm ) Correction Factor 0.9
Cleanliness Factor : 90%
3203.5 1.101 0.815 0.90 2587.0
(3) Average Heat Transfer CoefficientUa X N1+ Ub X N2N1 + N2
2725.4 22764 2587 2528
22764 2528
2711.57
2711.6 kcal/m2 h ℃
U1 =
F
FW =
FM =
FC =
Ua = × × X kcal/m2 h ℃
U m=
=
FM =
FC =
Ub = × × kcal/m2 h ℃ =
U1 =
Um =
=× + ×
+
=
Btu/h・ft2・F
Btu/h・ft2・F
: Um
×
d
d
d
d
d
DD KV71215-d
20 10 設計要項表 Design Data Sheet
c.Logarithmic Mean Temperature Difference : θm
Circulating Water Temperature rise : Δt
3.99730E+089.920E+02 1310
5.13 ℃
46.09
43.04
5.1337.91
8.18 - 3.05 5.2
8.18 3.05
d.Required Tube Surface Area : Areq m2
3.99730E+082711.6 5.20
28349.5
e.Actual Tube Surface Area :A
A = π × 0.02540 × 14.375 × 25292 = 29011.8 m 29011 m > Areq
Δt = D2
Cp ・ γ ・ Q ・ 60=
=
t2 = ℃
Δt = ℃
ts = ℃ ( at 683.9mmHg_vac)
θm=( ts - t1 )-( ts - t2 )
( ts - t1 )( ts - t2 )
ln=
ln= ℃
t1 = ℃
Areq = D2Um ・ θm
=×
= m2
2 →
2
X
Saturated SteamTemperature
× 60
d
d
d
DD KV71215-d
20 11 設計要項表 Design Data Sheet
4.Hydraulic Calculation (As per clause 4.5 of HEI 10th)
4.1 L.P. Condenser
(a)Basic information
CW Nozzle Size ID2,400
CW Flow per nozzle (m3/min) 655
CW Velocity per nozzle (m/sec) 2.42
(ft/sec) 7.94 (Vw)
CW Velocity per tube (m/sec) 1.92
(ft/sec) 6.30 (Vw)
CW Inlet / Outlet temperature (Deg.C) 33.0 / 37.91
(Deg.F) 91.4 / 100.24 (T1/T2)
Tube inside diameter (mm) 23.98
Tube inside diameter (in) 0.94 (Di)
Tube length (m) 14.431
(ft) 47.346 (Lt)
(a)Waterbox and Tube End Losses
End loss (ft) 0.70 Curve (a) of Figure 8
Waterbox Inlet (ft) 0.98 Curve (b) of Figure 8
Waterbox Outlet (ft) 0.30 Curve (c) of Figure 8
Sum of above (ft) 1.98 (ΣRe)
(b)Tube Loss
Tube loss (uncorrected) (ft of water/ft length) 0.173 (R2 x Rt)
Temperature correction factor - 0.954 (R1: Figure 7)
Tube loss per length (ft of water/ft length) 0.165 (Rt x R2 x R1)
Tube loss (ft) 7.81
(c)Total Loss
(a) + (b) (ft) 9.785 (Rtt)
(mAq) 2.983
Hydraulic loss adapted (5% Margin) (mAq) 3.140
d
DD KV71215-d
20 12 設計要項表 Design Data Sheet
4.2 H.P. Condenser
(a)Basic information
CW Nozzle Size ID2,400
CW Flow per nozzle (m3/min) 655
CW Velocity per nozzle (m/sec) 2.42
(ft/sec) 7.94 (Vw)
CW Velocity per tube (m/sec) 1.92
(ft/sec) 6.30 (Vw)
CW Inlet / Outlet temperature (Deg.C) 37.91 / 43.04
(Deg.F) 100.24 / 109.47 (T1/T2)
Tube inside diameter (mm) 23.98
Tube inside diameter (in) 0.94 (Di)
Tube length (m) 14.431
(ft) 47.346 (Lt)
(a)Waterbox and Tube End Losses
End loss (ft) 0.70 Curve (a) of Figure 8
Waterbox Inlet (ft) 0.98 Curve (b) of Figure 8
Waterbox Outlet (ft) 0.30 Curve (c) of Figure 8
Sum of above (ft) 1.98 (ΣRe)
(b)Tube Loss
Tube loss (uncorrected) (ft of water/ft length) 0.173 (R2 x Rt)
Temperature correction factor - 0.936 (R1: Figure 7)
Tube loss per length (ft of water/ft length) 0.162 (Rt x R2 x R1)
Tube loss (ft) 7.66
(c)Total Loss
(a) + (b) (ft) 9.638 (Rtt)
(mAq) 2.938
Hydraulic loss adapted (5% Margin) (mAq) 3.080
4.3 Total loss of Condenser
LP Condenser + HP Condenser (mAq) 6.220
These value do not include loss of CW piping and inter-connecting piping between
LP and HP Condenser.
d
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20 13 設計要項表 Design Data Sheet
5.Hotwell storage Capacity
a.Condensate Water
Condensate Flow : Qc1741639 kg/h
29.03 m3/min
b.Required storage capacity
3 minutes storage capacity
Qc×3 = 87.08 m3
c.Required Hotwell Height : Hreq
Size of Cond Lower Shell
13895
7960
87.0813895×7960
= 787.3 mm
Height of LLWL - Bottom : HLLWL-B
200 mm
Hreq' + HLLWL-B = 987.3 mm
d.Actual Hotwell Height : H (Height of NWL - Bottom)
Height of NWL - LLWL : HNWL-LLWL
800 mm
1000 mm > Hreq
Qc =
Qreq=
=
Qreq
a
b
Size of Cond Lower Shell
a=
b=
Hreq' =a×b
×109 = ×109
Hreq =
H =
HLLWL-B =
HNWL-LLWL =
HNWL-LLWL + HLLWL-B =
DD KV71215-d
20 14 設計要項表 Design Data Sheet
6. Steam and condensate flow
The condensate (generated in LP Condenser) passing through the perforated plates is reheated by the steam from HP
Condenser. The condensate is led to HP Condenser through connection pipe between HP and LP Condenser.
The Hotwell of LP Condenser has two different pressure zones.
The pressure zone (Reheating Section) has the same pressure as HP Condenser.
Condenser is designed for exhaust steam from steam turbine, BFP drive turbine, LP bypass system, heater drains and
vents, boiler separator drains during start up, low load and abnormal conditions and other miscellaneous drains.
DD KV71215-d
20 15 設計要項表 Design Data Sheet
Appendix
DD KV71215-d
20 16 設計要項表 Design Data Sheet
DD KV71215-d
20 17 設計要項表 Design Data Sheet
DD KV71215-d
20 18 設計要項表 Design Data Sheet
DD KV71215-d
20 19 設計要項表 Design Data Sheet
DD KV71215-d
20 20 設計要項表 Design Data Sheet
変更 REV. PAGE
変更箇所及び内容
CHANGED PLACE AND CONTENT
承認
APPROVED
調査
REVIEWED
担当
PREPARED
a - Initial Issue Y.Fuki
Jun.05.2012
Y.Fuki
Jun.05.2012
S.Mori
Jun.05.2012
b 11,12 Corrected value. Y.Fuki
Jun.07.2012
Y.Fuki
Jun.07.2012
S.Mori
Jun.07.2012
c - Revised as marked according to progress of design. Y.Fuki
Jul.25.2012
S.Mori
Jul.25.2012
R.Yasuki
Jul.25.2012
d - Revised as marked according to progress of design. Written in
page 1.
Written in
page 1.
Written in
page 1.