calculation of heat and mass balance

19
Sl No Description of the system Unit 1 HP steam flow to HTP TPH 283.268 2 HP steam pressure at HTP inlet Mpa 9.504 3 HP steam temperatuer Deg C 564.3 4 HP steam enthalpy KJ/kg 3540 5 Leakage 1 from MSV of HPT E TPH 0.1 6 Leakage 2 from MSV of HPT F TPH 0.8 7 Leakeage through HPT to IPT TPH 9.68 8 Gland leakages steam flow E TPH 0.117 9 Gland leakages steam flow D1 TPH 0.505 10 Gland leakages steam flow B TPH 1.924 11 CRH calculated steam flow TPH 270.142 12 CRH steam enthalpy KJ/kg 3187 13 CRH temperature Deg C 379 14 HRH flow to IPT TPH 312.05 15 HRH enthalpy KJ/kg 3609 16 HRH pressure Mpa 2.223 17 HRH temperature Deg C 564.48 18 HRH stop valve body leakage F TPH 0.1 19 HRH stop valve body leakage E TPH 0.1 20 IPT gland leakage steam flow D2 TPH 0.547 21 IPT gland leakage steam flow E TPH 0.089 22 TPH 41.908 23 LP SH steam flow TPH 35.4 24 LP steam flow calculated TPH 359.118 25 LPT steam enthalpy KJ/kg 3104 26 LP steam pressure Mpa 0.37 27 LP steam temperature Deg C 317 28 Gland leakage inlet from LPT D4 TPH 0.62 29 Gland leakage outlet from LPT E TPH 0.16 30 LPT calculated exhaust steam flow TPH 359.578 31 LPT exhaust steam enthaly KJ/kg 2490 32 Condenser back pressure Kpa 0.0081 33 HP steam available for work output TPH 273.588 34 Energy conversion in HPT KJ/kg 353 35 HPT output kW 26827 36 HRH steam flow TPH 311.85 37 HRH steam enthalpy KJ/kg 3609 38 HPT to IPT leakage TPH 9.68 39 Enthalpy of HTP steam KJ/kg 3540 Value at OLD HBD reference IPT calculated / HRSG data steam flow from IP SH

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Page 1: Calculation of Heat and Mass Balance

Sl No Description of the system Unit

1 HP steam flow to HTP TPH 283.268 282.792 HP steam pressure at HTP inlet Mpa 9.504 9.473 HP steam temperatuer Deg C 564.3 565.34 HP steam enthalpy KJ/kg 3540 35435 Leakage 1 from MSV of HPT E TPH 0.1 0.16 Leakage 2 from MSV of HPT F TPH 0.8 0.87 Leakeage through HPT to IPT TPH 9.68 9.688 Gland leakages steam flow E TPH 0.117 0.1179 Gland leakages steam flow D1 TPH 0.505 0.505

10 Gland leakages steam flow B TPH 1.924 1.92411 CRH calculated steam flow TPH 270.142 269.66412 CRH steam enthalpy KJ/kg 3187 319313 CRH temperature Deg C 379 37914 HRH flow to IPT TPH 312.05 315.5915 HRH enthalpy KJ/kg 3609 360916 HRH pressure Mpa 2.223 2.25417 HRH temperature Deg C 564.48 56518 HRH stop valve body leakage F TPH 0.1 0.119 HRH stop valve body leakage E TPH 0.1 0.120 IPT gland leakage steam flow D2 TPH 0.547 0.55421 IPT gland leakage steam flow E TPH 0.089 0.0922 IPT calculated / HRSG data steam flow from IP SH TPH 41.908 45.92623 LP SH steam flow TPH 35.4 34.2624 LP steam flow calculated TPH 359.118 361.5125 LPT steam enthalpy KJ/kg 3104 310326 LP steam pressure Mpa 0.37 0.358727 LP steam temperature Deg C 317 317.228 Gland leakage inlet from LPT D4 TPH 0.62 0.829 Gland leakage outlet from LPT E TPH 0.16 0.17430 LPT calculated exhaust steam flow TPH 359.578 362.13631 LPT exhaust steam enthaly KJ/kg 2490 251532 Condenser back pressure Kpa 0.0081 0.010333 HP steam available for work output TPH 273.588 273.1134 Energy conversion in HPT KJ/kg 353 35035 HPT output kW 26827 2655236 HRH steam flow TPH 311.85 315.3937 HRH steam enthalpy KJ/kg 3609 360938 HPT to IPT leakage TPH 9.68 9.6839 Enthalpy of HTP steam KJ/kg 3540 3543

Value at OLD HBD reference

Value at NEW HBD

reference, Guranteed

Page 2: Calculation of Heat and Mass Balance

40 Total energy available in IPT KJ/hr 1159733850 117253875041 Enthalpy of IPT exhaust steam KJ/kg 3104 310342 Exhaust energy of IPT KJ/hr 998029120 100869221043 IPT output kW 44918 4551344 Steam flow to LPT TPH 359.1 361.545 Steam enthalpy KJ/kg 3104 310346 LPT exhaust enthalpy KJ/kg 2490 251547 LPT output kW 61250 59047

48 Total power output (calculated) from all the turine kW 132994 13111249 Power as per HBD / effective power putput kW 129506 13111150 Mechanical loss kW 850 85051 Power at Generator treminal kW 129501 12778652 Generator Efficiency % 0.9800 0.9810

Condenser heat load KJ/Hr 831358170 838703200Condenser heat load W 230932825 232973111

kcal/hr 198566487.53 200320817.8conversion 4.183076 4.183076

W 230727419 232765890

CW flow m3/hrDensity

Calculated expected temperature rise Deg C

Fuel flow kg/secGT load kWST load kWTotal load kWGCV of fuel kcal/kgTotal heat input kcal/hrPlant Heat rate kcal/kWhPlant Heat rate KJ/kWhHeat rate guarantee KJ/kWh

GT load kW

Simple cycle heat rate kca/kWhKJ/kWh

Page 3: Calculation of Heat and Mass Balance

282.79 264.3 283.268 283.268 275 2669.47 10.8 10.8 10.8 10.8 10.8

565.3 565 565 565 565 5653543 3536.9 3536.9 3536.9 3536.9 3536.90.1 0.1 0.1 0.1 0.1 0.10.8 0.8 0.8 0.8 0.8 0.8

9.685 9.685 9.685 9.685 9.685 9.6850.117 0.117 0.117 0.117 0.117 0.1170.504 0.504 0.504 0.504 0.504 0.5041.938 1.938 1.938 1.938 1.938 1.938

269.646 251.156 270.124 270.124 261.856 252.8563194 3184.8 3184.8 3184.8 3184.8 3184.8379.6 373.6 373.6 373.6 373.6 373.6

311.666 296.856 311.592 315.824 303.324 315.8243609 3608.9 3608.9 3608.9 3608.9 3608.92.254 2.25 2.25 2.25 2.25 2.25565 565 565 565 565 5650.1 0.1 0.1 0.1 0.1 0.10.1 0.1 0.1 0.1 0.1 0.1

0.554 0.554 0.554 0.554 0.554 0.5540.09 0.09 0.09 0.09 0.09 0.09

42.02 45.7 41.468 45.7 41.468 45.734.26 39.4 35.4 39.4 35.4 39.4

357.605 347.935 358.671 366.903 350.403 366.9033103 3070.5 3070.5 3070.5 3070.5 3070.5

0.3587 0.3587 0.3587 0.3587 0.3587 0.3587317.2 301 301 301 301 301

0.8 0.8 0.8 0.8 0.8 0.80.174 0.174 0.174 0.174 0.174 0.174

358.231 348.561 359.297 367.529 351.029 367.5292515 2537 2520 2520 2520 2520

0.0103 12.13 10.8 10.8 10.8 10.8273.105 254.615 273.583 273.583 265.315 256.315

349 352.1 352.1 352.1 352.1 352.126476 24903 26758 26758 25949 25069

311.466 296.656 311.392 315.624 303.124 315.6243609 3609 3609 3609 3609 36099.685 9.685 9.685 9.685 9.685 9.6853543 3536.9 3536.9 3536.9 3536.9 3536.9

Computed HBD based on HRSG

data

Computed HBD based on

HRSG data

Computed HBD based on HRSG

data, guranteed, with IP export water

Computed HBD based on HRSG data, without IP

export water

Computed HBD based on HRSG

data, guranteed, with IP export water

Bypassing HP steam to IP

header

Page 4: Calculation of Heat and Mass Balance

1158394749 1104886380.5 1158068604.5 1173341892.5 1128229392.5 1173341892.53103 3070.5 3070.5 3070.5 3070.5 3070.5

996531553 940620040.5 985866928.5 998861284.5 960480034.5 998861284.544962 45630 47834 48467 46597 48467357.6 347.9 358.7 366.9 350.4 366.93103 3070.5 3070.5 3070.5 3070.5 3070.52515 2537 2540 2540 2522 2537

58409 51562 52854 54067 53388 54373

129847 122094 127446 129292 125934 127909129846 122093 127445 129291 125933 127908

850 925 925 925 925 925126416 118745 123990 125799 122508 1244430.9800 0.9800 0.9800 0.9800 0.9800 0.9800

1370829643600 814863770 841083495 860387535 815387781 859286826230456556 226351047 233634304 238996537 226496606 238690785

198156969.523 194626867.77 200889341.502 205500032.244 194752025.652 205237132.4164.183076 4.183076 4.183076 4.183076 4.183076 4.183076

230251573 226149717 233426495 238783959 226295146 238478479

24000995.025

23880.5978.15

14.3 14.7 14.7 14.7233260 239000 239000 239000120400 123990 125799 124443353660 362990 364799 363443

10500 10500 10500 10500540540000 555660000 555660000 555660000

1528 1531 1523 15296399 6409 6377 64016469 6469 6469 6469

70 60 92 68233260 239000 239000 239000

2317 2325 2325 23259702 9734 9734 9734

366000 366000 366000 36600012340 3010 1201 2557

Page 5: Calculation of Heat and Mass Balance

26610.8565

3536.90.10.8

9.6850.1170.5041.938

252.8563184.8373.6

307.5563608.9

2.255650.10.1

0.5540.0945.739.4

358.6353070.50.3587

3010.8

0.174359.261

252010.8

256.315352.125069

307.35636099.685

3536.9

Site data 11/09/10

Page 6: Calculation of Heat and Mass Balance

1143502680.53070.5

973474390.547230358.6

3070.52537 361.32

53148 251546.3

125447 193.84884125446 838678337 KJ/HR 200314879 KCAL/HR

925 22257.2088122030 232966205 W 223690.9800 232966 918

200284289 23287839923170 1.1631776233311992 1.041667

200612202.637 55643022 cal4.183076 6182.558 2321

233104469 554.361326

14.7239000122030361030

10500555660000

153964446469

25239000

23259734

3660004970

Page 7: Calculation of Heat and Mass Balance

Exhaust flow TPH 1244.02 358.36 357.605Sp Volume m3/kg 13.364 17.242 14.112Volume m3/hr 16625083 6178843 5046522

m3/sec 4618.079 1716.345 1401.812Velocity at LPT exhaust m/sec 317.29 317.29 259.1441Area of LPT exhaust M2 14.55476 5.40939 5.40939

Exhaust flow TPH 361.32 357.605 #REF!Sp Volume m3/kg 13.85 13.222 14.112Volume m3/hr 5004282 4728253 #REF!

m3/sec 1390.078 1313.404 #REF!Velocity at LPT exhaust m/sec 273.4222 258.3406 #REF!Area of LPT exhaust M2 5.084 5.084 #REF!

Page 8: Calculation of Heat and Mass Balance

Sl No Description Symbol Unit Design

1 CW inlet temperature T1 Deg C 332 CW outlet temperature T2 Deg C 41.843 Condensate cemperature T Deg C 46.34 Exhaust steam enthalpy He kcal/kg 600.75 Exhaust steam flow Qh kg/hr 36132067 T - T1 Deg C 13.38 T - T2 Deg C 4.469 lmtd = 8.091

1011 Overall heat transfer U W/m2.Deg C 3071.51213 Total heat load in condenser Q kcal/hr 20031487914 kcal/s 5564315 1 kcal/s = 4.183076 kW 4183.076 W 23275899016 Surface area required for the same A m2 9366.41718 Q = U*A*LMTD (calculated)19202122 T = condensate temperature calculated T Deg C2324 Design CW flow Qcw TPH 2222225 Design CW flow Qcw kg/hr 2222200026 Circulating water temperature rise Deg C 9.014259716

ln(dT1/dT2) =(T2-T1)/ lmtddT1/dT2 = e^((T2-T1)/lmtd)

dT

Page 9: Calculation of Heat and Mass Balance

33 Deg F 91.4 35.6 7.942.0 Deg F 107.625667 43.546.4 Deg F 115.52 50.263559863

600.7 BTU/lb 1081.3 612358231 BTU/lb 789764.302 258900

13.4 Deg F 24.12 14.6635598634.39 Deg F 7.89 6.7635598633

8.071 Deg F 14.527 10.209

3071.5 3071.5

198566522.65 145433564.3555157 40398

230727460 1689887929307.5 5389.1

Selected surface area 9000Computed LMTD 6.1131474813 Deg C

0.7738161369(dT1/dT2) 2.1680239637T = 50.263559863

CW flow at this condition 22222 TPH22222000

6.5445758416

Actual with HRSG

Converted unit

ln(dT1/dT2)

Page 10: Calculation of Heat and Mass Balance

33.0#DIV/0!#DIV/0!600.7

361320

#DIV/0!#DIV/0!#DIV/0!

3071.50

#DIV/0!56978

####DIV/0!

9000#DIV/0!

#DIV/0!#DIV/0!#DIV/0!

2222222222000

#DIV/0!

Actual condition

Page 11: Calculation of Heat and Mass Balance

Sl no Description Unit Value1 HP steam enthalpy 3543

IP steam enthalpy CRH 3193HRSG IP steam 3054HRH steam enthalpy 3609LP steam enthalpy (HRSG outlet) 3037LP exhaust enthalpy 2515Additional power output from HTP kW 0IP/LP turbine power loss kW 533.0111LP turbine power loss kW 53.65

1 HP steam enthalpy 3543IP steam enthalpy CRH 3193HRSG IP steam 3054HRH steam enthalpy 3609LP steam enthalpy (HRSG outlet) 3037LP exhaust enthalpy 2515

HPT loss kW 1797.639IP/LP turbine power loss kW 5618.906Total power loss kW 7416.544

119400

Power loss due to short fall in HP steam 7417

587Steam turbine rating MW 127.40

Present load on stem turbine at 264.3 TPH HP steam flow

Permanent power loss due to some minor mistake in HBD

Page 12: Calculation of Heat and Mass Balance

HTC HBD TBW HBD Short fallHP steam flow 282.79 282.79 0IP steam flow 45.56 42 3.56LP steam flow 34.57 34.2 0.37

HP steam flow 282.79 264.3 18.49IP steam flow 45.56 42 3.56LP steam flow 34.57 34.2 0.37

Page 13: Calculation of Heat and Mass Balance

Sl No Description Unit 1 Unit 21 Atmospheric pressure PSIA Kg/cm2 14.695942 Wet bulb temperature Deg F Deg C 80.63 Dry bul tempearture Deg F Deg C 1044 KAV/L (for cooling tower) 1.21725 Design air flow through coling tower 10^3 x CFM 8154.8166 Design water flow through cooling tower GPM 1091207 COC 58 Drift loss % % 0.019 Make-up water temperture Deg F Deg C 86

10 water inlet height Ft M 31.1611 Fan TTL head in Inch of H2O Inch Of H2O mm of H2O 0.512 Design cooling tower approach Deg F Deg C 10.813 Design L/G ratio 1.697

14 Tube OD15 Number of Tube passes

Tube count per pass 1Active tube length per pass 439.17888Cleanness factor 90Heat rejected Mbtu/hr 787

Sl No Description Unit 1 Unit 2 Corrected condition1 Atmospheric pressure PSIA Kg/cm2 14.695942 Wet bulb temperature Deg F Deg C 80.63 Dry bul tempearture Deg F Deg C 1044 KAV/L (for cooling tower) 1.21725 Design air flow through coling tower 10^3 x CFM 8154.8166 Design water flow through cooling tower GPM 879877 COC 58 Drift loss % % 0.019 Make-up water temperture Deg F Deg C 86

10 water inlet height Ft M 31.1611 Fan TTL head in Inch of H2O Inch Of H2O mm of H2O 0.512 Design cooling tower approach Deg F Deg C 10.813 Design L/G ratio 1.697

14 Tube OD15 Number of Tube passes

Tube count per pass 1Active tube length per pass 439.17888Cleanness factor 90Heat rejected Mbtu/hr 787

Sl No Description Unit 1 Unit 2 Actual condition

Page 14: Calculation of Heat and Mass Balance

1 Atmospheric pressure PSIA Kg/cm2 14.695942 Wet bulb temperature Deg F Deg C 80.63 Dry bul tempearture Deg F Deg C 1044 KAV/L (for cooling tower) 1.21725 Design air flow through coling tower 10^3 x CFM 8154.8166 Design water flow through cooling tower GPM 879877 COC 58 Drift loss % % 0.019 Make-up water temperture Deg F Deg C 86

10 water inlet height Ft M 31.1611 Fan TTL head in Inch of H2O Inch Of H2O mm of H2O 0.512 Design cooling tower approach Deg F Deg C 10.813 Design L/G ratio 1.697

14 Tube OD15 Number of Tube passes

Tube count per pass 1Active tube length per pass 439.17888Cleanness factor 90Heat rejected Mbtu/hr 787

Page 15: Calculation of Heat and Mass Balance

1.0332272740

309.5

107.6 426 91.4 33

80.6 27

10.8 6

39 3.888889

230251573 KCAL/HR

Corrected condition 40 4.444444 0.5555561.033227 41 5

27 0.55555640

309.5

6

Actual condition

Page 16: Calculation of Heat and Mass Balance

1.0332272740

309.5

6

Page 17: Calculation of Heat and Mass Balance

Sl No Description Unit MW Remarks

1 Present STG load 1182 Present GTG load 233

3 4

4 2.3

5 Additional power output form IPT and LPT 4.1

6 2.39

7 126.79

8 Contractual pemanent loss 1.41 Un-recoverable

9 STG permanent loss for condenser under size 1

10 363.79

366.2

Degrdation of GT for 7 months of operation based on GT correction curve

Degradation after 7 - 8 months of operation of GT

HRSG load may achieve if GT can run at higher load without degradation shall be as per HRSG design figure.

HP steam flow will match with design value and we can achieve addition power out put from HPT.

After fixing HPT problem. HTC scope of supply

After fixing HPT problem. HTC scope of supply

Power loss for reduction of condenser vacuum from 84 to 94 mmHg

After fixing the CW system, CW pumps, CT and condenser

STG total load can be achieve after all the necessary corrections

Un-recoverable, as condenser is under size

Total load can be achieve considering GTG degradation factor

Power considering un-recoverable loss due to design mistake