big hanaford combined cycle plant calculation for cooling

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STONE & WEBSTER CANADA LIMITED CALCULATION SHEET SPP4-10-F5 D:\Ca2006\Energy\Cane\Reports\BigHanafordCombCyPlantPrint.doc JO/WO NO. CALCULATION NUMBER 11458.0000 11458-000-01-00-08 DRAFT PAGE 1 OF 123 Big Hanaford Combined Cycle Plant Calculation for Cooling Water System – Transient Load Analysis 6 November, 2001

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Page 1: Big Hanaford Combined Cycle Plant Calculation for Cooling

STONE & WEBSTER CANADA LIMITED CALCULATION SHEET

SPP4-10-F5 D:\Ca2006\Energy\Cane\Reports\BigHanafordCombCyPlantPrint.doc

JO/WO NO. CALCULATION NUMBER 11458.0000 11458-000-01-00-08

DRAFT PAGE 1 OF 123

Big Hanaford Combined Cycle Plant

Calculation for Cooling Water System – Transient Load Analysis

6 November, 2001

Page 2: Big Hanaford Combined Cycle Plant Calculation for Cooling

STONE & WEBSTER CANADA LIMITED CALCULATION SHEET

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JO/WO NO. CALCULATION NUMBER 11458.0000 11458-000-01-00-08

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CLIENT Transalta Energy Corporation PROJECT Big Hanaford Combined Cycle Plant CALCULATION TITLE CALCULATION FOR COOLING

WATER PIPE – TRANSIENT LOAD ANALYSIS.

CALCULATION OBJECTIVE Determine maximum and minimum transient pressure,

external forces acting on the flowing water in the straight pipe sections and selection of surge control devices for two pump trip and pump start with closed butterfly valve. Hydraulic transient loads, in the straight pipes between two nodes, due to pump trip, are also presented for approximate pipe stress analysis. The CW system is a standard configuration. Based on experience, the only significant transient concern is column separation after pump trip followed by column rejoining resulting in a potential large waterhammer surge pressure. I t is supposed that butterfly valves time closure is long enough not couse significant pressure surges.

CALCULATION METHOD The SURGE2000 program solves the basic equations of fluid

mechanics for the transient flow of an incompessible fluid in a pipe network. The “wave plan” approach is used.

REFERENCES See Page 9 DESIGN INPUT/ASSUMPTIONS CONFIRMATION

REQUIRED ( ) Yes No See Page 8 CONCLUSIONS Pump Trip: Minimum calculated vacuum at the pump outlet and upper condenser inlet and outlet for the system without protecting devices is less than 10 ft of H2O (4.3 psi). Water column separation will nor occur. Therefore, surge mitigation devices are not necessary. Pump Start: Water cooling pumps, when started, compress the air and vent discharge between the pump and butterfly valve to the atmosphere through the orifice. Butterfly valve opening time is 60 sec and starts opening when the air is vented from the pump discharge head and discharge

Page 3: Big Hanaford Combined Cycle Plant Calculation for Cooling

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JO/WO NO. CALCULATION NUMBER 11458.0000 11458-000-01-00-08

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piping to the butterfly valve.

ISSUE NO.

PREPARED REVIEWED CONFIRMATION REQUIRED ( )

By Date By Date Yes No 0 S. Pejovic Sep. 25, 01 R. Burri

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JO/WO NO. CALCULATION NUMBER 11458.0000 11458-000-01-00-08

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Table of Contents

1 ASSUMPTIONS 11

2 REFERENCES 12

3 SUMMARY 13

3.1 Pump Trip 13 3.2 Pump Start 13

4 METHOD OF ANALYSIS 14

4.1 Introduction 14 4.2 Computer Program Used 14

4.2.1 SURGE2000 14

5 ASSUMPTIONS: 15

6 STEADY OPERATION AND INPUT DATA: TWO PUMPS IN OPERATION. 16

6.1 Fluid and Piping Properties 16 6.1.1 Friction Losses: 16 6.1.2 Minor losses 16 6.1.3 Wave Speed 17 6.1.4 Pumps 17 6.1.5 Condenser 20 6.1.6 Cooling tower: 21 6.1.7 System 21 6.1.8 Orifice 1.25 in 21 6.1.9 Butterfly valve 21 6.1.10 Time and Increment Data 22

6.2 Input data 23 6.2.1 Isometric Piping Circulating Water System – 11458 –EP-25A –Attachment Sh1 23 6.2.2 Computer scheme with pipe and node names - Attachment Sh2: 23 6.2.3 Computer scheme with the flows (gpm) and hydraulic grades at nodes (ft) for steady normal operating point – Attachment Sh3 23 6.2.4 Computer Tables of input data (See Tables 1 and 2 – Pages: ) 24

7 SUMMARY OF RESULTS / CONCLUSIONS 25

7.1 Case 0. Two Pumps Trip and Selection of Pump File for Transient Analysis 26 7.2 Case 1. Two pump Trip 26 7.3 Case 2. Pump Speed Controlled Shutdown 26

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7.4 Case 3. Pump Startup 26 7.5 Maximum / Minimum Transient Pressure 26

8 RECOMMENDATIONS 28

9 TWO PUMPS TRIP AND SELECTION OF PUMP FILE FOR TRANSIENT ANALYSIS 32

10 TWO PUMPS TRIP 37

COMPONENT DATA 47

DATA FOR PUMP FILES 47

TAB. RESULTS 52

11 TWO PUMPS CONTROLLED SHUTDOWN 63

12 PUMP STARTUP 66

12.1 Air Release Orifice 0.9/1,25 in 66

13 TWO PUMPS TRIP UNBALANCED AXIAL FORCES 87

13.1 NOTATION 87 13.2 Momentum Equation 87

13.2.1 If there are no obstructions in the fluid, and the effects of body forces are neglected, the only force acting on the fluid in the straight pipe are (see Fig. 1): the pressure forces acting over the inlet and exit areas A1 , and A2, and the reaction force F exerted by the inner surface of the pipe on the fluid 87

13.3 Preprocessor for TRANSIENT FORCES 88

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FIGURE 12 COMPUTER SCHEME FOR TRANSIENT FORCES CALCULATIONS 89

FIGURE 13. PUMP VERTICAL PIPE (PUMP NODE DOWNSTREAM OF PUMP RUNNER) 92

FIGURE 15. PUMP DISCHARGE PIPE AND BUTTERFLY VALVE OPEN 94

FIGURE 16. CONNECTING PIPE TO THE COLLECTOR 95

FIGURE 19. COLLECTOR PIPE 98

FIGURE 20. PIPE TO THE CONDENSER 99

FIGURE 21. INCLINED PIPE TO THE CONDENSER 100

FIGURE 22. PIPE TO THE CONDENSER 101

FIGURE 23. VERTICAL BRANCHING PIPE TO THE CONDENSER 102

FIGURE 24. VERTICAL BRANCHING PIPE TO THE CONDENSER 103

FIGURE 25. UPPER CONDENSER CONNECTING PIPE 104

FIGURE 26. UPPER CONNECTING PIPE 105

FIGURE 27. CONDENSER 106

FIGURE 28. CONDENSER 107

FIGURE 29. UPPER CONDENSER RETURN PIPE 108

FIGURE 30. VERTICAL CONDENSER COLLECTOR PIPE 109

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FIGURE 31. BRANCHING TO THE LOWER CONDENSER 110

FIGURE 32. VERTICAL PIPE TO THE LOWER CONDENSER 111

FIGURE 34. LOWER CONDENSER 113

FIGURE 35. LOWER CONDENSER 114

FIGURE 36. HORIZONTAL BECK FLOW PIPE 115

FIGURE 37. INCLINED BACK FLOW PIPE 116

FIGURE 38. BACK FLOW PIPE 117

FIGURE 39. BACK FLOW PIPE 118

FIGURE 40. BACK FLOW PIPE 119

FIGURE 41. INCLINED BACK FLOW PIPE 120

FIGURE 42. HORIZONTAL DISTRIBUTION PIPE TO THE COOLING TOWER 121

14 ATTACMENTS 124

Pumps 124 P1 - Ingersoll-Dresser Pumps Proposed Performance 124 P2 - Dave Mathewson fax, Aug. 07, 01, - (Pump data: Specific speed and Pump-Motor Inertia) 124 P3 – Pump 42EPM-1 stage Estimated Dimensions and Weights 124 P4 - E-mail To Richard Burri / From David R. Mathewson (Pump Startup) 124

Condenser 124 C1 – Surface Condenser Specification Sheet – Guarantee Case 124 C2 – Condenser Data 124

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Schemes 124 Sh1 – Isometric Piping circulating Water, 11458-EP-25A 124 Sh2 – Computer Program Pipe and Nodes Names 124 Sh3 – Computer Calculated Steady Flows and Hydraulic Grades 124

Two Pump Trip 124 TPT1 – Big Hanaford Combined Cycle Plant – Two pumps trip – Maximum and minimum grade lines 124

Cooling Tower 124 CT1 - Head Loss Calculations 124

E-mails 124 1. To/From Dr. Don Wood: Questions and Answers on pump speed and torque calculation 124

Table of Figures

Figure 1. Pump Four Quadrant Characteristics for specific speeds: 3725 (ID 4), 4409 (ID 5) and 4390 (Manufaturer’s

data) ...................................................................................................................................................................... 18 Figure 2. . Pump Four Quadrant Characteristics for specific speeds: 5203 (ID 6), 6792 (ID 7) and 5460 (Calculated,

see attecment P1 - Ingersoll-Dresser Pumps Proposed Performance. ) ................................................................ 19 Figure 3. Computer Scheme with Pipe and Node Labels ............................................................................................ 22 4. Computer Scheme with Flows in Pipes and Hydraulic Grade Lines at Nodes......................................................... 22 Figure 5. Charts of Two Pumps Trip – Pump File ID 5 ............................................................................................... 33 Figure 6. Charts of Two Pumps Trip – Pump File ID 6 ............................................................................................... 34 Figure 7. Selection of Pump Four Characteristics File for Transient Calculations ...................................................... 35 Figure 8. Two Pumps Controlled Shutdown Comparison to Two Pumps Trip............................................................ 64 Figure 9. Pump Startup. Air Outflow Orifice 1.25 in................................................................................................... 68 Figure 10. Pump Startup. Air Outflow Orifice 1.25 in................................................................................................. 69 Figure 11 Determination of the forces acting on a straight pipe .................................................................................. 88 Figure 12 Computer scheme for transient forces calculations...................................................................................... 89 Figure 13. Pump vertical pipe (Pump node downstream of pump runner)................................................................... 92 Figure 14. Pump vertical pipe (Pump node downstream of pump runner)................................................................... 93 Figure 15. Pump discharge pipe and butterfly valve open ........................................................................................... 94 Figure 16. Connecting pipe to the collector ................................................................................................................. 95 Figure 17. Connecting pipe to the collector ................................................................................................................. 96 Figure 18. Pump discharge pipe and butterfly valve open ........................................................................................... 97 Figure 19. Collector pipe.............................................................................................................................................. 98 Figure 20. Pipe to the condenser .................................................................................................................................. 99 Figure 21. Inclined pipe to the condenser................................................................................................................... 100 Figure 22. Pipe to the condenser ................................................................................................................................ 101 Figure 23. Vertical branching pipe to the condenser.................................................................................................. 102 Figure 24. Vertical branching pipe to the condenser.................................................................................................. 103 Figure 25. Upper condenser connecting pipe ............................................................................................................. 104 Figure 26. Upper connecting pipe .............................................................................................................................. 105 Figure 27. Condenser ................................................................................................................................................. 106 Figure 28. Condenser ................................................................................................................................................. 107 Figure 29. Upper condenser return pipe ..................................................................................................................... 108

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Figure 30. Vertical condenser collector pipe.............................................................................................................. 109 Figure 31. Branching to the lower condenser............................................................................................................. 110 Figure 32. Vertical pipe to the lower condenser......................................................................................................... 111 Figure 33. Connecting pipe to the lower condenser ................................................................................................... 112 Figure 34. Lower condenser ....................................................................................................................................... 113 Figure 35. Lower condenser ....................................................................................................................................... 114 Figure 36. Horizontal beck flow pipe......................................................................................................................... 115 Figure 37. Inclined back flow pipe............................................................................................................................. 116 Figure 38. Back flow pipe .......................................................................................................................................... 117 Figure 39. Back flow pipe .......................................................................................................................................... 118 Figure 40. Back flow pipe .......................................................................................................................................... 119 Figure 41. Inclined back flow pipe............................................................................................................................. 120 Figure 42. Horizontal distribution pipe to the cooling tower ..................................................................................... 121 Figure 43. Horizontal distribution pipe to the cooling tower including pressure and bend forces turning flow from

horizontal into vertical direction......................................................................................................................... 122 Figure 44. Horizontal pipe – butterfly valve closed ................................................................................................... 123

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123

CLIENT Transalta Energy Corporation PROJECT Big Hanaford Combined Cycle Plant

I TEM

RUN NUMBER DATE OF RUN

STATUS *

PREPARED CHECKED

BY DATE BY DATE 0 SURGE2000 - 0 G S. Pejovic Sep. 25, 01 R. Burri Sep. 25, 01 1 SURGE2000 - 1 Sep. 25, 01 2 SURGE2000 - 2 3 SURGE2000 - 3 4 SURGE2000 - 0 5 • G = GOOD RUN

• N = NULLIFIED RUN

I TEM

MACHINE USED SOFTWARE OR PROGRAMS NAME REFERENCE NUMBER, VERSION AND LEVEL

COMPUTER JOB NUMBER

1 WS ID-064.0821 WORD 97 SR-2 2 3 4 5 6

I TEM

DOCUMENT STORAGE STORAGE MEDIUM STORAGE LOCATION

1 V: Network

C:\STAN\S & W\NewSurge2001\ReprtFin\BHCCP CWPTLA - Pg 5-NEW.doc

2 3 4 5

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CONFIRMATION REQUIRED ( )

1 ASSUMPTIONS Total Cooling Water Flow Rate is based on Condenser requirement of 57,200 usgpm, plus Heat Exchanger Flow Rate of 2,000 usgpm = Total Flow of 59,200 usgpm: x 1.05 SF = Total Rated Flow of 62,160 usgpm for two (2) Pumps in Parallel operation. Total Rated Flow / Pump = 31,080 usgpm. Wave Propagation is calculated for water without presence of even small quantities of air, which significantly reduce the wave propagation speed in the pipes. Pump Four Quadrant File is selected for specific speed 4409 (ID 5) which is nearest to the pump specific speed Ns = 4390 supplied by manufacturer. SURGE2000 program has 8 files based on experimental available data. The pump file is customized to the cooling water pump by the Rated Head, Rated Flow, Rated Speed and Inertia (corresponding specific speed 5460 not confirmed by manufacturer). Water cooling pumps have a non-reverse ratchet. SURGE2000 simulate (i) pump trip: the pump speed following loss of power is calculated using dynamic analysis including torque, inertia, etc. If the butterfly valve at the pump outlet does not close, pump turns into the turbine operation with reverse flow and speed of rotation – runaway. (ii) Program simulates pump shutdown, pump start up, pump shutdown followed by startup (table of rated) changing the speed of rotation – input: speed versus time. Really pump transient operating point and corresponding torque controls speed, as it is programmed in the case of pump trip. Analysis was complete as follows: • Pump trip with selected pump file ID 5 in the region of specific speed

between 4390 and 5460, which delivered a bit lower pressure at the condensers and pump outlets.

• Input table: pump speed versus time was selected to follow pump trip pressure drop, estimating the time when pump speed should be zero. Results of analysis is not enclosed into this report.

• Analysis was further continued with the selected input data table. Condenser is simulated by the equivalent pipe of the same length as 1 in pipes (total number 6,740), wave propagation speed, flow velocity and pressure drop. Valves simulate cooling tower sprsy nozels: pressure drop 2 ft at full Rated Flow.

Yes No

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REFERENCE NUMBER

DESIGN INPUT CONFIRMATION REQUIRED ( )

Yes No 1. INGERSOLL-DRESSER PUMPS PROPOSED

PERFORMANCE

2. Dave Mathewson fax, Aug. 07, 01, - (Pump data: Specific speed and Pump-Motor Inertia)

3. Pump 42EPM-1 stage Estimated Dimensions and Weights 4 Surface Condenser Specification Sheet – Guarantee Case 5 Condenser Tubes 6 Isometric Piping Circulating Water, 11458-EP-25A 7 Cooling Tower Head Loss Calculations

REFERENCE NUMBER

REFERENCES

1

2

3

4

5

6

7

8

9

10

11

12

2 REFERENCES SURGE2000 computer program, Civil Engineering Software Center, University of Kentucky. This software package includes: the Surge Reference Manuel (Sept 1996) and Surge Examples (March 1993), by Dr. D.J. Wood and Dr. J.E. Funk Calculating Water Pumps (70-P-04 A/B/C), Estimated Flow and Total Dynamic Head Requirements, No. 11458-000-09-CW-15, by Richard Burri Ingersoll-Dresser Pumps Proposed Performance (See Attachments) Dave Mathewson fax, Aug. 07, 01, - (Pump data: Specific speed and Pump-Motor Inertia) (See Attachments) Pump 42EPM-1 stage Estimated Dimensions and Weights (See Attachments) Surface Condenser Specification Sheet – Guarantee Case (See Attachments) Head Loss Calculations (See Attachments) E-mails To/From Dr. Don Wood: Questions and Answers on pump speed and torque calculation (See Attachments) E-mail from D. Mathenson (FLOWSERVE) to Richard Burri – Pump Start-up Wylie E.B., Streeter V.L., 1993, Fluid Transients in Systems, Prentice Hall Chauldhry M.H., 1990, Applied Hydraulic Transients, Van Nostrand Reinhold Company Zucrow M.J., Hoffman J.D., 1976, Gas Dynamics, John Wiley & Sons, Inc

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3 SUMMARY Total Cooling Water Flow Rate is based on Condenser and Heat Exchanger Flow requirement of 62,160 usgpm for two (2) Pumps in Parallel operation. 3.1 Pump Trip Minimum calculated vacuum at the pump outlet and upper condenser inlet and outlet for the system without protecting devices (Air/Vacuum valves) is less than 10 ft of H2O (4.3 psi). Water column separation will nor occur. Therefore, surge mitigation devices are not necessary. 3.2 Pump Start When started, the Circulating Water Pumps compress the air .between the pump and butterfly valve.The air (compressed) vents to the amosfere through an orifice located on the pump discharge head.. Butterfly valve opening time is 60 sec and starts opening when the air is vented from the pump discharge head and discharge piping.

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4 METHOD OF ANALYSIS 4.1 Introduction The hydraulic transient effects of pump trip will be investigated by computer simulation using the SURGE2000 software. The extent to which a pump trip may generate significant high or low pressures in the CW piping system is directly proportional to whether column separation can occur during shutdown and whether subsequent column rejoining can occur. The fluid response depends on the pump characteristics, the moment of inertia of the pump shaft and motor, the action of the butterfly valve and the system steady state hydraulic grade line and elevations. The computer simulation will model the interaction of these system components and effects to predict the transient pressures. The first step of this investigation is therefore to simulate the normal operation of the piping system with respect to head and flow. The steady state head vs. flow output is then used in the transient analysis module to simulate pump trip and pump startup. 4.2 Computer Program Used The SURGE2000 computer program is used for all simulations in this calculation. It is a commercially available microcomputer based software program qualified by S&W. 4.2.1 SURGE2000 The SURGE2000 computer program is a generalized commercially available hydraulic program which is used to perform both steady state and transient analyses of a piping network which may include pumps, reservoirs, air/vacuum valves, valves, bypass lines, etc. The SURGE2000 program uses the "wave plan method" with a finite difference approximation in both space and time in order to solve the governing partial differential equations. The spatial characteristics of the system are defined by the flow parameters that are ascribed to each node. One node is placed at each end of a pipe and the remainder is equally spaced along the pipe. Discretization of the flow problem with respect to time is governed by the integration time step which is usually very small. The Courant No limits the time step of the model as follows: AT ≤ min (∆xi/aI) [where: xi = nodal spacing for the pipe and ai = sonic velocity in the pipe}. The SURGE2000 cannot calculate unbalanced forces and hydraulic vibrations.

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5 ASSUMPTIONS: 1. Total Cooling Water Flow Rate is based on Condenser requirement of 57,200 usgpm, plus

Heat Exchanger Flow Rate of 2,000 usgpm = Total Flow of 59,200 usgpm: x 1.05 SF = Total Rated Flow of 62,160 usgpm for two (2) Pumps in Parallel operation. Total Rated Flow / Pump = 31,080 usgpm.

2. Wave Propagation is calculated for water without presence of even small quantities of air,

which significantly reduce the wave propagation speed in the pipes. 3. Pump Four Quadrant File is selected for specific speed 4409 (ID 5) which is nearest to the

pump specific speed Ns = 4390 supplied by manufacturer. SURGE2000 program has 8 files based on experimental available data. The pump file is customized to the cooling water pump by the Rated Head, Rated Flow, Rated Speed and Inertia (corresponding specific speed 5460 not confirmed by manufacturer).

4. The Circulating Water Pump Motors have a non-reverse ratchet. SURGE2000 simulates (i)

pump trip: the pump speed following loss of power is calculated using dynamic analysis including torque, inertia, etc. If the butterfly valve at the pump outlet does not close, pump turns into the turbine operation with reverse flow and speed of rotation – runaway. (ii) Program simulates pump shutdown, pump start up, pump shutdown followed by startup (table of rated) changing the speed of rotation – input: speed versus time. Really pump transient operating point and corresponding torque controls speed, as it is programmed in the case of pump trip. Analysis was complete as follows:

• Pump trip with selected pump file ID 5 in the region of specific speed between 4390 and

5460, which delivered a bit lower pressure at the condensers and pump outlets. • Input table: pump speed versus time was selected to follow pump trip pressure drop,

estimating the time when pump speed should be zero. Results of analysis are not enclosed into this report.

• Analysis was further continued with the selected input data table. 5. Condenser is simulated by the equivalent pipe of the same length as 1 in pipes (total number

6,740), wave propagation speed, flow velocity and pressure drop. 6. Valves simulate cooling tower spray nozzels: pressure drop 2 ft at full Rated Flow.

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6 STEADY OPERATION AND INPUT DATA: TWO PUMPS IN

OPERATION. 6.1 Fluid and Piping Properties Vapor Head = -33.2 (ft gage) Kinematic Viscosity = 1.09 E -05 (f2/sec) The condenser incoming fluid temperature is 74°F and the outgoing temperature is 94°F (Ref. 6.2). The sonic velocity computed in Section 4.1.3 would be slightly different if the fluid properties at these temperatures were used. Wave Propagation is calculated for water without presence of even small quantities of air, which significantly reduce the wave propagation speed in the pipes. 6.1.1 Friction Losses: Hazen Williams equation was used to estimate the system friction loses:

87.4852.1

852.173.4DC

LQhLP =

hLP = Friction loss (ft) C = flow coefficient (C = 100 used in calculations) Q = Flow (cfs) D = diameter of pipe (ft) L = length of pipe (ft) 6.1.2 Minor losses Minor losses are calculated as

gVMhLM 2

2

=

hLM = Minor loss (ft) V = Flow velocity ((ft/s) g = acceleration of gravity (ft/s2) M = Resistance coefficient

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6.1.3 Wave Speed Wave propagation speed is obtained using SURGE2000 Tools: Wave Speed in Circular Pipes (Poisson Ratio 0.25; no presence of air in water)

+

=

tEDEK

Ec

c

ff

f

c = propagation speed (ft/s) Kf = Coefficient of restraint for longitudinal pipe movement Er = elastic modulus of water (psi) Ec = elastic modulus of conduit (psi) D = diameter of pipe (ft) t = pipe thickness (ft) 6.1.4 Pumps Flowsreve (Ingersoll-Dresser) Pumps characteristics supplied by manufacturer cover only normal operating zone of flow: 0 to 40000 gpm (see Attachments P1, P2 and P3). Rated data: Discharge Capacity: 31080 gpm Head: 65.1 ft Efficiency: 87.0 % NPSHR: 25 FT Speed: 710 rpm Pump type: 42EPM Specific speed: 4390 (Manufacturer’s data) Calculated specific speed: 5460 (calculated for rated data) Motor moment of inertia: 1072 lb-ft2

Pump moment of inertia: 528 lb-ft2 Pump outlet pipe elevation: 261 ft Pump inlet elevation: 246.2 ft Impeller elevation: 248.2 ft Min, water elevation: 254 ft Pump Four Quadrant File is selected for specific speed 4409 (ID 5) which is nearest to the pump specific speed Ns = 4390 supplied by manufacturer (see Figs ?). SURGE2000 program has 8 files based on experimental available data. The pump file is customized to the cooling water pump by the Rated Head, Rated Flow, Rated Speed and Inertia (corresponding specific speed 5460 not confirmed by manufacturer).

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Figure 1. Pump Four Quadrant Characteristics for specific speeds: 3725 (ID 4), 4409 (ID 5) and 4390 (Manufaturer’s data)

Pump Four Quadrant Characteristics

-3

-2

-1

0

1

2

3

1 6 11 16 21 26 31 36 41 46 51 56 61 66 71 76 81 86

Q

WH

/WB

Series1Series2Series3Series4Series5Series6

ID / Ns(SpecificSpeed)

ID 4 / 3725

ID5 / 4409

4390

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Figure 2. . Pump Four Quadrant Characteristics for specific speeds: 5203 (ID 6), 6792 (ID 7) and 5460 (Calculated, see attecment P1 - Ingersoll-Dresser Pumps Proposed Performance. )

Pump Four Quadrant Characteristics

- 3

- 2

- 1

0

1

2

3

4

1 8

15 22 29 36 43 50 57 64 71 78 85

q

WH

/WB

Ser i es 1Ser i es 2Ser i es 3Ser i es 4Ser i es 5Ser i es 6

ID / NsSpecificSpeed

ID6 / 5203

ID7 / 6792

5460

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The Circulating Water Pump Motors have a non-reverse ratchet. SURGE2000 simulate (i) pump trip: the pump speed following loss of power is calculated using dynamic analysis including torque, inertia, etc. If the butterfly valve at the pump outlet does not close, pump turns into the turbine operation with reverse flow and speed of rotation – runaway. (ii) Program simulates pump shutdown, pump start up, pump shutdown followed by startup (table of rated) changing the speed of rotation – input: speed versus time. Really pump transient operating point and corresponding torque controls speed, as it is programmed in the case of pump trip. Analysis was complete as follows: • Pump trip with selected pump file ID 5 in the region of specific speed between 4390 and

5460, which delivered a bit lower pressure at the condensers and pump outlets. • Input table: pump speed versus time was selected to follow pump trip pressure drop,

estimating the time when pump speed should be zero. • Analysis was further continued with the selected input data table. • Pump start calculations 6.1.5 Condenser Condenser is simulated by the equivalent pipe of the same length as 1 in pipes (total number 6,740), wave propagation speed, flow velocity and pressure drop (see Attachment C1 and C2). Design conditions, water side: Water flow: 57200 gpm Pressure drop: 23.1 ft of water @ 70 0F Temperature, water in: 74.0 0F Temperature, water out: 94.0 0F Number of passes: 2 Pipe inlet/outlet elevation, higher: 263.1 ft Pipe inlet/outlet elevation, lower: 254.8 ft Number of tubes: 6740 Tube diameter – O.D. 1 in Tube wall thickness: 0.028 in (22 BWG) Water velocity: 8 ft/sec Tubes’ material: 304L S.S. Equivalent pipe: Diameter: 39 in Length: 41 ft Wave speed: 4142 ft/s

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Water velocity: 8 .0 ft/sec Loss coefficient: 11 Flow coefficient: 100 Condenser has two inlets and two outlets; each has two equivalent pipes of 41 ft length. 6.1.6 Cooling tower: Valves simulate cooling tower spray nozzelss: pressure drop 2 ft at full Rated Flow (see Attachment CT1). Main data: Number of cooling towers: 5 Elevation of nozzles: 282.5 ft Nozzles’ pressure: 2 ft 6.1.7 System Attachments showing piping system: Attachment Sh1: Isometric Piping Circulating Water System Attachment Sh2: Computer scheme with pipe and node names Attachment Sh3: Computer scheme with the flows (gpm) and hydraulic grades at nodes (ft) 6.1.8 Orifice 1.25 in The Circulating Water Pumps, when started, compress and vent the air between the pump and the butterfly valve to the atmosphere through a 1.25 in orifice. When the air is vented (aqpproximatly 10 seconds after pump start, depending on the selected oriffice size), the Butterfly Valves can be opened (One at a time). 6.1.9 Butterfly valve Closing / opening time is 60 sec. Opening of the valve will start 10 seconds after the pump start-up. Pump shutdown occurs when the butterfly valve is closed. Main data: Inside diameter: 35 in Elevation: 261 ft

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Closing time: 60 sec Opening time: 60 sec 6.1.10 Time and Increment Data Total Simulation Time and Time Increment can be changed and adapted to the analyzed case. Figure 3. Computer Scheme with Pipe and Node Labels

4. Computer Scheme with Flows in Pipes and Hydraulic Grade Lines at Nodes

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6.2 Input data 6.2.1 Isometric Piping Circulating Water System – 11458 –EP-25A –Attachment Sh1 6.2.2 Computer scheme with pipe and node names - Attachment Sh2: 6.2.3 Computer scheme with the flows (gpm) and hydraulic grades at nodes (ft) for steady

normal operating point – Attachment Sh3

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6.2.4 Computer Tables of input data (See Tables 1 and 2 – Pages: )

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7 SUMMARY OF RESULTS / CONCLUSIONS The hydraulic transient analysis of the Big Hanaford Combined Cycle Plant cooling system was performed using the SURGE2000 computer program to determine if water column separation and water column rejoining with subsequent significant pressure surges can occur after pump trip. The results of the analysis show that water column separation and subsequent water column rejoining will not occur. Unbalanced axial forces on elbow pairs due to pump trip are not analyzed. The Circulating Water Pumps , when started, compress and vent the air between the pump and the butterfly valve to the atmosphere. Pressure waterhammer force on the butterfly valve has been calculated. Three hydraulic cases are simulated as follows: Case 0 – Two Pumps Trip and Selection of Pump File for Transient Analysis. Case 1 - Pump operation followed by 2-pump trip (to full runaway of the pumps – pumps without

non revese ratchets). Case 2 - Pump operation followed by 2-pump shutdown – pump speed reduced from 710 rpm to 0

rpm in 5 seconds (pump with non reverse ratchet). Case 3 - Pump startup and air vent through 2 in pipe with the outlet orifice 1.25 in. Case Input File Output file Date/Time Printed Input / Output Results

0 Tr2PID5.P2K Tr2PID6.P2K

Tr2PID5.OUT Tr2PID6.OUT

Table 4, Figs. 1, 2, and 3 ?

1 Tr2PID5.P2K Tr2PID5.OUT Table 4, Figs.?

2 SpSelect.P2K SpSelect.OUT Figs ?

3 StOr125.P2K StOr125.P2K Table 6, Figs ?

The steady state (hydraulic grade line vs. flow) results and one pump operation were obtained using the SURGE2000 steady state module and show very good agreement with the steady state hydraulic calculation presented in Calculating Water Pumps (70-P-04 A/B/C), Estimated Flow and Total Dynamic Head Requirements, No. 11458-000-09-CW-15. The steady state hydraulic results are automatically input into the SURGE2000 transient module to simulate pump trip.

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7.1 Case 0. Two Pumps Trip and Selection of Pump File for Transient Analysis This case is simulated for 30 seconds to see the effect of 2 pumps operation followed by 2-pump trip. A review of the nodes AV-H (condenser outlet upper flange at elevation 263.1 ft), Pump-1 and Pump-2 (pump outlet pipe at elevation 261 ft), see Figs. 1, 2, and 3, show that the difference is very small so any of these two pump files can be used for further calculations. Pump file ID 5 was selected. 7.2 Case 1. Two pump Trip This case is simulated for 30 seconds to see the effect of 2 pumps operation followed by 2-pump trip. A review of the node AV-H (condenser outlet upper flange at elevation 263.1 ft) pressure plot in Fig. 1 and Table 4 reveals that the head at this node drops to pressure –8.8 ft (> than vapor head -33.2 ft gage) at approximately 1 second after pump trip. A review of the node Pump-1 and Pump-2 (pump outlet pipe at elevation 261 ft)) pressure plot in Fig. 1 and Table 4 reveals that the head at these nodes drop to pressure –6.3 ft (> than vapor head -33.2 ft gage) at approximately 2 seconds after pump trip. Therefore, surge mitigation devices are not necessary. 7.3 Case 2. Pump Speed Controlled Shutdown The Circulaing Water Pump Motors have non-reverse ratchets (preventing pump and motor reverse rotation). Speed deceleration was selected to calculate slightly smaller pressure at the pump and condenser outlets. Results of computer simulation show that minimum pressures occur at the condenser outlet and pump discharge before pump rotation speed shutdown (See Fig. 4 ???). 7.4 Case 3. Pump Startup Furing start, the CirculatingWater Pumps compress and vent the air in the pump discharge (between pump and butterfly valve) to the atmosphere through a 2 in pipe with an outlet orifice 1.25 in diameter. Butterfly valve opening time is 60 sec and starts openingaft3er the air in the discharges is vented.. Initial volume of compressed air is 30 ft3 (87 SCF). Maximum pressure at the butterfly valve is = 79 psi. The maximum design pressure for the pipes is 100 psi (See Table 6??? and Figs. 5 and 6???). In trial operation final orifice size should be selected 7.5 Maximum / Minimum Transient Pressure

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The maximum transient pressure experienced by the CW system due to pump trip is not greater than the steady state pressure. The minimum transient pressure experienced by the CW system due to pump trip is about –8.8 ft gage (vapor pressure = -33.2 ft gage) at the condenser outlet.

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8 RECOMMENDATIONS During trial operation of the pump start-up, the air outlet orifice should be selected to optimize pump startup time and pressure surges. Generally (i) small orifice: long starting time, low pressure surges, (ii) big orifice: short starting time, big pressure surges. Air outflow will be at sonic speed followed by high frequency noise and sound waterhammer at the end of air outflow. During start-up of the CW system air must be purged out of the system to avoid water hammer concerns. The Butterfly Valve starts opening when the pump has vented the air from the pump discharge line. Normal system start-up procedures (especially venting procedures) must be followed at all times. During start-up of the CW system after pump trip, air must be purged from the system to avoid water hammer concerns. It is recommended that normal system start-up procedures (especially venting procedures) be followed after a pump trip. The Butterfly Valve operators have maximum operating time of 60 second It is recommended that this naximum operating time be used.

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Tables of Input Data and Steady Operating Point Table 1. Nodes Elevation, Hydraulic Grade and pressure Head ------------------------------------------ R E S U L T S F O R Case-0 ------------------------------------------ NODE RESULTS (Case-0) ------------------------------------------- Node Elevation HydGrade PresHead ------------------------------------------- AV-H 263.10 292.48 29.38 AV-L 254.80 291.94 37.14 BV-10 261.00 320.55 59.55 BV-4 261.00 321.36 60.36 BV-5 261.00 321.67 60.67 J-1 261.00 320.40 59.40 J-10 257.50 284.95 27.45 J-11 257.50 284.83 27.33 J-12 257.50 284.75 27.25 J-13 261.00 321.89 60.89 J-14 261.00 322.19 61.19 J-15 261.00 320.55 59.55 J-16 263.10 314.70 51.60 J-17 263.10 303.80 40.70 J-18 254.80 316.37 61.57 J-19 254.80 304.39 49.59 J-2 246.50 320.24 73.74 J-20 242.80 316.45 73.65 J-21 246.50 320.55 74.05 J-22 246.50 320.55 74.05 J-3 235.00 316.52 81.52 J-31 254.80 291.51 36.71 J-4 261.00 320.71 59.71 J-41 225.00 289.56 64.56 J-5 261.00 320.55 59.55 J-6 263.10 314.79 51.69 J-7 263.10 292.09 28.99 J-8 257.50 285.74 28.24 J-9 257.50 285.23 27.73 Pump-1 261.00 321.99 60.99 Pump-2 261.00 322.29 61.29 Pump-3 261.00 320.55 59.55 @~AV-H 263.10 292.91 29.81 @~AV-L 254.80 292.41 37.61 @~BV-10 261.00 320.55 59.55 @~BV-4 261.00 321.81 60.81 @~BV-5 261.00 322.11 61.11 @~CT-1 282.50 284.84 2.34 @~CT-2 282.50 284.47 1.97 @~CT-3 282.50 284.27 1.77 @~CT-4 282.50 284.18 1.68 @~CT-5 282.50 284.12 1.62

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Table 2. Pipes, End nodes, Lengths, Diameters and Minor Loss Coefficients ------------------------------------------ R E S U L T S F O R Case-0 ------------------------------------------ PIPE RESULTS (Case-0) -------------------------------------------------------------- Pipe StartNode EndNode Length Diameter MLCoeff -------------------------------------------------------------- P-1 J-4 J-21 13.00 35.00 0.00 P-10 J-31 J-41 30.00 53.00 1.50 P-11 J-21 J-2 10.00 53.00 1.00 P-12 J-14 @~BV-5 6.00 35.00 0.00 P-13 J-15 @~BV-10 6.00 35.00 0.00 P-14 J-3 J-20 12.00 41.00 0.00 P-15 J-41 J-8 347.00 53.00 1.50 P-16 AV-L J-31 13.00 41.00 0.40 P-17 J-10 J-11 60.00 53.00 0.40 P-18 J-10 @~CT-3 55.00 30.00 1.00 P-19 J-11 J-12 60.00 53.00 1.50 P-2 J-9 J-10 60.00 53.00 0.40 P-20 J-11 @~CT-4 55.00 30.00 1.00 P-21 J-22 J-21 10.00 53.00 1.50 P-22 J-12 @~CT-5 55.00 30.00 1.00 P-23 Pump-1 J-13 8.00 35.00 0.00 P-24 J-5 J-22 13.00 35.00 0.00 P-25 BV-4 J-1 15.00 35.00 0.50 P-26 BV-5 J-4 15.00 35.00 0.50 P-27 BV-10 J-5 15.00 35.00 0.50 P-28 J-6 J-16 16.00 41.00 0.00 P-29 J-7 J-31 8.00 53.00 2.00 P-3 J-9 @~CT-2 55.00 30.00 1.00 P-30 Pump-2 J-14 8.00 35.00 0.00 P-31 Pump-3 J-15 8.00 35.00 0.00 P-32 J-17 @~AV-H 41.00 39.00 11.00 P-33 J-16 J-17 41.00 39.00 11.00 P-34 J-19 @~AV-L 41.00 39.00 11.00 P-35 AV-H J-7 13.00 41.00 0.40 P-36 J-18 J-19 41.00 39.00 11.00 P-37 J-20 J-18 13.00 41.00 0.00 P-4 J-8 J-9 60.00 53.00 0.40 P-5 J-8 @~CT-1 55.00 30.00 1.00 P-6 J-13 @~BV-4 6.00 35.00 0.00 P-7 J-2 J-3 208.00 53.00 2.10 P-8 J-1 J-2 13.00 35.00 0.00 P-9 J-3 J-6 28.00 41.00 2.00 --------------------------------------------------------------

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Table 3. Results for Two Pumps Steady Operation - Flowrate, Losses, Flow Velocities ------------------------------------------ R E S U L T S F O R Case-0 ------------------------------------------ PIPE RESULTS (Case-0) ------------------------------------------------------------------------ Pipe StartNode EndNode FlowRate HLoss MLoss Velocity /s ------------------------------------------------------------------------ P-1 J-4 J-21 30018.04 0.16 0.00 10.01 P-10 J-31 J-41 60138.59 1.96 5.85 8.75 P-11 J-21 J-2 30018.04 0.31 0.97 4.37 P-12 J-14 @~BV-5 30018.04 0.07 0.00 10.01 P-13 J-15 @~BV-10 0.00 0.00 0.00 0.00 P-14 J-3 J-20 30783.46 0.07 0.00 7.48 P-15 J-41 J-8 60138.59 3.82 5.85 8.75 P-16 AV-L J-31 30783.46 0.42 1.14 7.48 P-17 J-10 J-11 22611.09 0.12 0.22 3.29 P-18 J-10 @~CT-3 11705.51 0.69 1.44 5.31 P-19 J-11 J-12 11209.09 0.08 0.20 1.63 P-2 J-9 J-10 34316.60 0.28 0.51 4.99 P-20 J-11 @~CT-4 11402.00 0.65 1.36 5.17 P-21 J-22 J-21 0.00 0.00 0.00 0.00 P-22 J-12 @~CT-5 11209.09 0.63 1.32 5.09 P-23 Pump-1 J-13 30120.56 0.10 0.00 10.04 P-24 J-5 J-22 0.00 0.00 0.00 0.00 P-25 BV-4 J-1 30120.56 0.97 2.57 10.04 P-26 BV-5 J-4 30018.04 0.96 2.55 10.01 P-27 BV-10 J-5 0.00 0.00 0.00 0.00 P-28 J-6 J-16 29355.14 0.09 0.00 7.13 P-29 J-7 J-31 29355.14 0.58 1.86 4.27 P-3 J-9 @~CT-2 12358.63 0.76 1.60 5.61 P-30 Pump-2 J-14 30018.04 0.10 0.00 10.01 P-31 Pump-3 J-15 0.00 0.00 0.00 0.00 P-32 J-17 @~AV-H 29355.14 10.90 34.84 7.88 P-33 J-16 J-17 29355.14 10.90 34.84 7.88 P-34 J-19 @~AV-L 30783.46 11.98 38.32 8.27 P-35 AV-H J-7 29355.14 0.39 1.04 7.13 P-36 J-18 J-19 30783.46 11.98 38.32 8.27 P-37 J-20 J-18 30783.46 0.08 0.00 7.48 P-4 J-8 J-9 46675.23 0.51 0.94 6.79 P-5 J-8 @~CT-1 13463.37 0.90 1.90 6.11 P-6 J-13 @~BV-4 30120.56 0.07 0.00 10.04 P-7 J-2 J-3 60138.59 3.71 8.19 8.75 P-8 J-1 J-2 30120.56 0.16 0.00 10.04 P-9 J-3 J-6 29355.14 1.73 5.19 7.13 ------------------------------------------------------------------------

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9 TWO PUMPS TRIP AND SELECTION OF PUMP FILE FOR TRANSIENT ANALYSIS

Program Surge200 has 8 pump files. A pump file is a table of values defining head and torque as a function of flow and speed. These are based on available experimental data. The file selection is based on specific speeds. Transients for pumps are initialized by changing the pump speed ratio (pump speed/rated speed) or designating a pump trip where the rundown is calculated. The Circulating Water Pumps have a non-reverse ratchet. SURGE2000 simulate (i) pump trip: the pump speed following loss of power is calculated using dynamic analysis including torque, inertia, etc. If the butterfly valve at the pump outlet does not close, pump turns into the turbine operation with reverse flow and speed of rotation – runaway, (ii) Program simulates pump shutdown, pump start up, pump shutdown followed by startup (table or rated) changing the speed of rotation – input: speed versus time. SURGE2000 cannot graph or output table of pump speed of rotation and shaft torque, see Attachment EM1. The pump transient operating point and corresponding torque controls the pump rotatioanal speed, as it is programmed in the case of pump trip. Input data should be carefully selected to represent a real pump transient. Generally the flow reverse at a pump before the rotational speed reverse.

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Figure 5. Charts of Two Pumps Trip – Pump File ID 5

Two Pumps Trip

No Air Valves (No protecting devices)

Pump file ID 5 (Specific speed 4409)

1. Flow reverse at 9.1 sec, or 7.1 sec after power failure

2. Minimum pressure at pump outlet –6.3 ft 3. Minimum pressure at condenser inlet –1.3 ft 4. Minimum pressure at condenser outlet –8.8 ft

1 TWO PUMPS TRIP

Pump file ID 5

0 5 10 15 20 25 30-3.0E+4

-2.0E+4

-1.0E+4

0

1.0E+4

2.0E+4

3.0E+4

4.0E+4

5.0E+4

6.0E+4

7.0E+4

Flow

J-31 Pump-1

Two pumps trip Pump file ID 5

(Specific speed 4409)

Pump

Total

0 5 10 15 20 25 30-10

0

10

20

30

40

50

60

70

Hea

d

AV-H J-16 Pump-1

Two pumps trip Pump file ID 5 (Specific speed 4409)

Condenser inlet

Condenser outlet

Pump

(gpm)

Time (seconds)

Time (seconds)

(gpm)

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Figure 6. Charts of Two Pumps Trip – Pump File ID 6

Comparison of minimum calculated pressures at the pump outlet and upper condenser inlet and outlet. Difference is very small so any of these two pump files can be used for further calculations. Pump file ID 5 was selected.

Two Pumps Trip

(No protecting devices) Pump file ID 6

(Specific speed 5203)

5. Flow reverse at 8.9 sec, or 6.9 sec after power failure

6. Minimum pressure at pump outlet –5.7 ft 7. Minimum pressure at condenser inlet –0.6 ft 8. Minimum pressure at condenser outlet –8.7 ft

0 5 10 15 20 25 30-3.0E+4

-2.0E+4

-1.0E+4

0

1.0E+4

2.0E+4

3.0E+4

4.0E+4

5.0E+4

6.0E+4

7.0E+4

Flow

J-31 Pump-1

Two pumps trip Pump file ID 6

(Specific speed 5203)

1 Pump Flow

Total 2 Pump Flow

0 5 10 15 20 25 30-10

0

10

20

30

40

50

60

70

Hea

d

AV-H J-16 Pump-1

Two pumps trip Pump file ID 6 (Specific speed 5203)

Condenser outlet

Pump

Condenser inlet

(gpm) (gpm)

Time (seconds) Time (seconds)

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Figure 7. Selection of Pump Four Characteristics File for Transient Calculations

0 5 10 15 20 25 30-3.0E+4

-2.0E+4

-1.0E+4

0

1.0E+4

2.0E+4

3.0E+4

4.0E+4

5.0E+4

6.0E+4

7.0E+4

Flow

J-31 Pump-1

Two pumps trip Pump file ID 5

(Specific speed 4409)

0 5 10 15 20 25 30-3.0E+4

-2.0E+4

-1.0E+4

0

1.0E+4

2.0E+4

3.0E+4

4.0E+4

5.0E+4

6.0E+4

7.0E+4

Flow

J-31 Pump-1

Two pumps trip Pump file ID 6 (Specific speed 5203)

1 Pump Flow

1 Pump Flow

2 Pump Flow

2 Pump Flow

Time (seconds) Time (seconds)

(gpm) (gpm)

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0 5 10 15 20 25 30-10

0

10

20

30

40

50

60

70

Hea

d

AV-H J-16 Pump-1

Pump

Condenser

Condenser outlet

Two pumps trip Pump file ID 5

(Specific speed 4409)

0 5 10 15 20 25 30-10

0

10

20

30

40

50

60

70

Hea

d

AV-H J-16 Pump-1

Pump

Condenser

Condenser

Two pumps trip Pump file ID 6 (Specific speed 5203)

(gpm) (gpm)

Time (seconds) Time (seconds)

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10 TWO PUMPS TRIP Results of calculations are shown in Figures 1 and 2,?? Table 4?? and Attachment TPT1. Attachment TPT1 shows envelopes of hydraulic grade lines. A review of the pressure envelopes reveals that vacuum occurs: - at the condenser located at the elevation 263.1 ft, nodes: J-17 and AV-H, - at the condenser located at the e,evation 254.8 ft., node AV-L, and - at the pump discharges, nodes Pump-1, and Pump-2. This case is simulated for 30 seconds to see the effect of 2 pumps operation followed by 2-pump trip. A review of the node AV-H (condenser outlet upper flange at elevation 263.1 ft) pressure plot in Fig. 1 and Table 4 reveals that the head at this node drops to pressure –8.8 ft (> than vapor head -33.2 ft gage) at approximately 1 second after pump trip. A review of the node Pump-1 and Pump-2 (pump outlet pipe at elevation 261 ft)) pressure plot in Fig. 1 and Table 4 reveals that the head at these nodes drop to pressure –6.3 ft (> than vapor head -33.2 ft gage) at approximately 2 seconds after pump trip. Therefore, surge mitigation devices are not necessary.

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Table 4. Results and Input Data Tables in Computer Memory for Two Pumps Trip * * * * * * * * * * K Y P I P E 4 * * * * * * * * * * * * * University of Kentucky Network Modeling Software * * * * Copyrighted by KPFS 1998 * * Version 1.200 - 01/26/2000 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * Date & Time: Wed Sep 12 09:00:01 2001 INPUT DATA FILENAME -------------- C:\STAN\S&W\NEWSUR~1\Tr2pNoAV\SPSPEE~1\Tr2PID5.DT2 TABULATED OUTPUT FILENAME -------- C:\STAN\S&W\NEWSUR~1\Tr2pNoAV\SPSPEE~1\Tr2PID5.OT2 POSTPROCESSOR RESULTS FILENAME --- C:\STAN\S&W\NEWSUR~1\Tr2pNoAV\SPSPEE~1\Tr2PID5.RS2

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************************************************ S U M M A R Y O F O R I G I N A L D A T A ************************************************ U N I T S S P E C I F I E D FLOWRATE ............ = gallons/minute HEAD (HGL) .......... = feet PRESSURE ............ = psig P I P E L I N E D A T A STATUS CODE: XX -CLOSED PIPE CV -CHECK VALVE P I P E NODE NAMES LENGTH DIAMETER ROUGHNESS MINOR N A M E #1 #2 (ft) (in) COEFF. LOSS COEFF. ------------------------------------------------------------------------------- P-1 J-4 J-21 13.00 35.00 100.0000 0.00 P-10 J-31 J-41 30.00 53.00 100.0000 1.50 P-11 J-21 J-2 10.00 53.00 100.0000 1.00 P-12 J-14 @~BV-5 6.00 35.00 100.0000 0.00 P-13 J-15 @~BV-10 6.00 35.00 100.0000 0.00 P-14 J-3 J-20 12.00 41.00 100.0000 0.00 P-15 J-41 J-8 347.00 53.00 100.0000 1.50 P-16 AV-L J-31 13.00 41.00 100.0000 0.40 P-17 J-10 J-11 60.00 53.00 100.0000 0.40 P-18 J-10 @~CT-3 55.00 30.00 100.0000 1.00 P-19 J-11 J-12 60.00 53.00 100.0000 1.50 P-2 J-9 J-10 60.00 53.00 100.0000 0.40 P-20 J-11 @~CT-4 55.00 30.00 100.0000 1.00 P-21 J-22 J-21 10.00 53.00 100.0000 1.50 P-22 J-12 @~CT-5 55.00 30.00 100.0000 1.00 P-23 Pump-1 J-13 8.00 35.00 100.0000 0.00 P-24 J-5 J-22 13.00 35.00 100.0000 0.00 P-25 BV-4 J-1 15.00 35.00 100.0000 0.50 P-26 BV-5 J-4 15.00 35.00 100.0000 0.50 P-27 BV-10 J-5 15.00 35.00 100.0000 0.50 P-28 J-6 J-16 16.00 41.00 100.0000 0.00 P-29 J-7 J-31 8.00 53.00 100.0000 2.00 P-3 J-9 @~CT-2 55.00 30.00 100.0000 1.00 P-30 Pump-2 J-14 8.00 35.00 100.0000 0.00 P-31 Pump-3 J-15 8.00 35.00 100.0000 0.00 P-32 J-17 @~AV-H 41.00 39.00 100.0000 11.00 P-33 J-16 J-17 41.00 39.00 100.0000 11.00 P-34 J-19 @~AV-L 41.00 39.00 100.0000 11.00 P-35 AV-H J-7 13.00 41.00 100.0000 0.40 P-36 J-18 J-19 41.00 39.00 100.0000 11.00 P-37 J-20 J-18 13.00 41.00 100.0000 0.00 P-4 J-8 J-9 60.00 53.00 100.0000 0.40 P-5 J-8 @~CT-1 55.00 30.00 100.0000 1.00 P-6 J-13 @~BV-4 6.00 35.00 100.0000 0.00 P-7 J-2 J-3 208.00 53.00 100.0000 2.10 P-8 J-1 J-2 13.00 35.00 100.0000 0.00 P-9 J-3 J-6 28.00 41.00 100.0000 2.00

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P U M P/L O S S E L E M E N T D A T A THERE IS A DEVICE AT NODE Pump-1 DESCRIBED BY THE' FOLLOWING DATA: (ID= 2) HEAD FLOWRATE EFFICIENCY (ft) (gpm) (%) 102.21 0.00 0.87 95.05 12432.00 0.87 85.28 21756.00 0.87 65.10 31080.00 0.87 31.25 40404.00 0.87 THERE IS A DEVICE AT NODE Pump-2 DESCRIBED BY THE' FOLLOWING DATA: (ID= 3) HEAD FLOWRATE EFFICIENCY (ft) (gpm) (%) 102.21 0.00 0.87 95.05 12432.00 0.87 85.28 21756.00 0.87 65.10 31080.00 0.87 31.25 40404.00 0.87 THERE IS A DEVICE AT NODE Pump-3 DESCRIBED BY THE' FOLLOWING DATA: (ID= 4) HEAD FLOWRATE EFFICIENCY (ft) (gpm) (%) 102.21 0.00 0.87 95.05 12432.00 0.87 85.28 21756.00 0.87 65.10 31080.00 0.87 31.25 40404.00 0.87

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E N D N O D E D A T A NODE NODE EXTERNAL JUNCTION EXTERNAL NAME TITLE DEMAND ELEVATION GRADE (gpm) (ft) (ft) -------------------------------------------------------------- AV-H Cond H 0.00 263.10 AV-L Cond L 0.00 254.80 BV-10 Butt Valve 3 0.00 261.00 BV-4 Butt Valve 1 0.00 261.00 BV-5 Butt Valve 2 0.00 261.00 J-1 0.00 261.00 J-10 10 0.00 257.50 J-11 11 0.00 257.50 J-12 12 0.00 257.50 J-13 Pump 1 0.00 261.00 J-14 Pump 2 0.00 261.00 J-15 Pump 3 0.00 261.00 J-16 Cond H 0.00 263.10 J-17 Cond.H 0.00 263.10 J-18 Cond L 0.00 254.80 J-19 Cond L 0.00 254.80 J-2 0.00 246.50 J-20 0.00 242.80 J-21 0.00 246.50 J-22 0.00 246.50 J-3 0.00 235.00 J-31 0.00 254.80 J-4 0.00 261.00 J-41 0.00 225.00 J-5 0.00 261.00 J-6 0.00 263.10 J-7 7 0.00 263.10 J-8 8 0.00 257.50 J-9 9 0.00 257.50 Pump-1 Pump 1 ---- 261.00 254.00 Pump-2 Pump 2 ---- 261.00 254.00 Pump-3 Pump 3 ---- 261.00 254.00

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O U T P U T O P T I O N D A T A OUTPUT SELECTION: THE FOLLOWING RESULTS ARE INCLUDED IN THE TABULATED OUTPUT RESULTS FOR ALL PIPES S Y S T E M C O N F I G U R A T I O N NUMBER OF PIPES ...................(p) = 37 NUMBER OF END NODES ...............(j) = 29 NUMBER OF PRIMARY LOOPS ...........(l) = 1 NUMBER OF SUPPLY NODES ............(f) = 8 NUMBER OF SUPPLY ZONES ............(z) = 1 ================================================================================ *** WARNING *** A PORTION OF THE SYSTEM IS DISCONNECTED FROM A FGN BY CLOSED LINES **** A FIX WILL BE ATTEMPTED THE FOLLOWING JUNCTION NODES ARE DISCONNECTED FROM THE SYSTEM DEMANDS AT THESE JUNCTION NODES ARE SET TO ZERO: J-15 Pump-3 @~BV-10 PIPE NO. ~@BV-10 HAS BEEN OPENED TO REMOVE THE DISCONNECTION Case: 0 RESULTS OBTAINED AFTER 5 TRIALS: ACCURACY = 0.00008

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S I M U L A T I O N D E S C R I P T I O N (L A B E L) P I P E L I N E R E S U L T S STATUS CODE: XX -CLOSED PIPE CV -CHECK VALVE P I P E NODE NUMBERS FLOWRATE HEAD MINOR LINE HL/ N A M E #1 #2 LOSS LOSS VELO. 1000 (gpm) (ft) (ft) (ft/s)(ft/ft) ------------------------------------------------------------------------------ P-1 J-4 J-21 30018.04 0.16 0.00 10.01 12.23 P-10 J-31 J-41 60138.59 0.18 1.78 8.75 65.24 P-11 J-21 J-2 30018.04 0.02 0.30 4.37 31.20 P-12 J-14 BV-5 30018.04 0.07 0.00 10.01 12.23 P-13 J-15 BV-10 0.00 0.00 0.00 0.00 0.00 P-14 J-3 J-20 30783.46 0.07 0.00 7.48 5.93 P-15 J-41 J-8 60138.59 2.04 1.78 8.75 11.00 P-16 AV-L J-31 30783.46 0.08 0.35 7.48 32.66 P-17 J-10 J-11 22611.09 0.06 0.07 3.29 2.08 P-18 J-10 CT-3 11705.51 0.25 0.44 5.31 12.49 P-19 J-11 J-12 11209.09 0.02 0.06 1.63 1.29 P-2 J-9 J-10 34316.60 0.12 0.15 4.99 4.65 P-20 J-11 CT-4 11402.00 0.24 0.42 5.17 11.87 P-21 J-22 J-21 0.00 0.00 0.00 0.00 0.00 P-22 J-12 CT-5 11209.09 0.23 0.40 5.09 11.48 P-23 Pump-1 J-13 30120.56 0.10 0.00 10.04 12.30 P-24 J-5 J-22 0.00 0.00 0.00 0.00 0.00 P-25 BV-4 J-1 30120.56 0.18 0.78 10.04 64.51 P-26 BV-5 J-4 30018.04 0.18 0.78 10.01 64.08 P-27 BV-10 J-5 0.00 0.00 0.00 0.00 0.00 P-28 J-6 J-16 29355.14 0.09 0.00 7.13 5.43 P-29 J-7 J-31 29355.14 0.01 0.57 4.27 72.28 P-3 J-9 CT-2 12358.63 0.28 0.49 5.61 13.89 P-30 Pump-2 J-14 30018.04 0.10 0.00 10.01 12.23 P-31 Pump-3 J-15 0.00 0.00 0.00 0.00 0.00 P-32 J-17 AV-H 29355.14 0.28 10.61 7.88 265.81 P-33 J-16 J-17 29355.14 0.28 10.61 7.88 265.81 P-34 J-19 AV-L 30783.46 0.31 11.67 8.27 292.25 P-35 AV-H J-7 29355.14 0.07 0.32 7.13 29.74 P-36 J-18 J-19 30783.46 0.31 11.67 8.27 292.25 P-37 J-20 J-18 30783.46 0.08 0.00 7.48 5.93 P-4 J-8 J-9 46675.23 0.22 0.29 6.79 8.44 P-5 J-8 CT-1 13463.37 0.32 0.58 6.11 16.41 P-6 J-13 BV-4 30120.56 0.07 0.00 10.04 12.30 P-7 J-2 J-3 60138.59 1.22 2.49 8.75 17.86 P-8 J-1 J-2 30120.56 0.16 0.00 10.04 12.30 P-9 J-3 J-6 29355.14 0.15 1.58 7.13 61.86 ~@AV-H AV-H AV-H 29355.14 0.00 0.43 83.27******** ~@AV-L AV-L AV-L 30783.46 0.00 0.47 87.32******** ~@BV-10 BV-10 BV-10 0.00 0.00 0.00 0.00 0.00 ~@BV-4 BV-4 BV-4 30120.56 0.00 0.45 85.44******** ~@BV-5 BV-5 BV-5 30018.04 0.00 0.45 85.15********

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P U M P/L O S S E L E M E N T R E S U L T S INLET OUTLET HEAD EFFIC- USEFUL INCREMTL TOTAL NAME FLOWRATE HEAD HEAD CHANGE ENCY POWER COST COST (gpm) (ft) (ft) (ft) (%) (Hp) ($) ($) ------------------------------------------------------------------------------- Pump-1 30120.56 0.00 60.99 68.0 ---- ----- --- ---- Pump-2 30018.04 0.00 61.29 68.3 ---- ----- --- ---- Device "Pump-3" is closed E N D N O D E R E S U L T S NODE NODE EXTERNAL HYDRAULIC NODE PRESSURE NODE NAME TITLE DEMAND GRADE ELEVATION HEAD PRESSURE (gpm) (ft) (ft) (ft) (psi) ------------------------------------------------------------------------------ S U M M A R Y O F I N F L O W S A N D O U T F L O W S (+) INFLOWS INTO THE SYSTEM FROM SUPPLY NODES (-) OUTFLOWS FROM THE SYSTEM INTO SUPPLY NODES NODE FLOWRATE NODE NAME (gpm) TITLE -------------------------------------------- CT-1 -13463.37 CT-2 -12358.63 CT-3 -11705.51 CT-4 -11402.00 CT-5 -11209.09 Pump-1 30120.56 Pump 1 Pump-2 30018.04 Pump 2 NET SYSTEM INFLOW = 60138.59 NET SYSTEM OUTFLOW = -60138.60 NET SYSTEM DEMAND = 0.00 ==============================================================================

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Case: 1 C H A N G E S F O R N E X T S I M U L A T I O N (Change Number = 0 ) ****** SURGE PROGRAM - VERSION 6.0 ****** Copyrighted by Dr. Don J. Wood Dr. James E. Funk Dr. Srini Lingireddy Lexington, KY, USA July 2001 ****** SURGE PROGRAM - VERSION 6.0 ****** Copyrighted by Dr. Don J. Wood Dr. James E. Funk Dr. Srini Lingireddy Lexington, KY, USA July 2001 DATE = 09/18/01 - TIME = 12:15:36 INPUT DATA FILE NAME = C:\STAN\S&W\NEWSUR~1\ReprtFin\Tr2P\SPSPEE~2\Tr2PID OUTPUT DATA FILE NAME = C:\STAN\S&W\NEWSUR~1\ReprtFin\Tr2P\SPSPEE~2\Tr2PID THE FOLLOWING DEFAULT OVERRIDES HAVE BEEN DEFINED: LIQUID SPECIFIC GRAVITY = 1.00000000 TIME INCREMENT FACTOR = 2 FLOW CONVERSION FACTOR = 448.859985 HEAD CONVERSION FACTOR = 1.00000000 START RUN AT TIME 12:15:36 TOTAL SIMULATION TIME = 30.0 sec : TIME INCREMENT = 0.00135 sec ENGLISH UNITS ARE SPECIFIED: FLOW in cubic feet/second & HEAD in feet **** SUMMARY OF PIPE SYSTEM DATA **** NUMBERS OF SPECIFIC ELEMENTS LINE SEGMENTS = 37 COMPONENTS = 13 JUNCTIONS = 24 BYPASS LINES = 0 SIDE ORIFICES = 0 RELIEF VALVES = 0 CHECK VALVES = 0 VARIABLE INPUTS = 4

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LINE SEGMENT DATA POSITION TRAVEL C/GA INITIAL SEGMENT OF ENDS INCREMENTS FLOWRATE RESISTANCE ------------------------------------------------------------------------ J-4 J-21 2 17.10 30018.035 0.00 J-31 J-41 6 6.75 60138.594 0.00 #J-21 J-2 2 6.75 30018.035 0.00 J-14 BV-5 2 17.10 30018.035 0.00 J-15 BV-10 2 17.10 0.000 0.00 J-3 J-20 2 12.03 30783.455 0.00 #J-41 J-8 78 6.75 60138.594 0.00 AV-L #J-31 2 12.03 30783.455 0.00 J-10 J-11 14 6.75 22611.090 0.00 #J-10 CT-3 10 24.02 11705.507 0.00 #J-11 J-12 14 6.75 11209.088 0.00 J-9 #J-10 14 6.75 34316.598 0.00 #J-11 CT-4 10 24.02 11402.003 0.00 J-22 #J-21 2 6.75 0.000 0.00 #J-12 CT-5 10 24.02 11209.088 0.00 Pump-1 J-13 2 17.10 30120.559 0.00 J-5 #J-22 2 17.10 0.000 0.00 BV-4 J-1 4 17.10 30120.559 0.00 BV-5 #J-4 4 17.10 30018.035 0.00 BV-10 #J-5 4 17.10 0.000 0.00 J-6 J-16 4 12.03 29355.139 0.00 J-7 #J-31 2 6.75 29355.139 0.00 #J-9 CT-2 10 24.02 12358.632 0.00 Pump-2 #J-14 2 17.10 30018.035 0.00 Pump-3 #J-15 2 17.10 0.000 0.00 J-17 AV-H 8 15.52 29355.139 0.00 #J-16 #J-17 8 15.52 29355.139 0.00 J-19 AV-L 8 15.52 30783.455 0.00 AV-H #J-7 2 12.03 29355.139 0.00 J-18 #J-19 8 15.52 30783.455 0.00 #J-20 #J-18 2 12.03 30783.455 0.00 #J-8 #J-9 14 6.75 46675.230 0.00 #J-8 CT-1 10 24.02 13463.367 0.00 #J-13 BV-4 2 17.10 30120.559 0.00 #J-2 #J-3 46 6.75 60138.594 0.00 #J-1 #J-2 2 17.10 30120.559 0.00 #J-3 #J-6 6 12.03 29355.139 0.00

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COMPONENT DATA DATA FOR PUMP FILES POS. POS. -REFERENCE (RATED) CONDITIONS- INITIAL TOTAL SPECIFIC FILE #1 #2 HEAD FLOW SPEED EFFIC. SPEED INERTIA SPEED NUMBER # Pump-1 65.1 69.24 710 0.870 710 1600.00 5461.52 9995 # Pump-2 65.1 69.24 710 0.870 710 1600.00 5461.52 9995 # Pump-3 65.1 69.24 710 0.870 710 1600.00 5461.52 9995 Pump File Units: Flow (CFS), Head (ft.), Speed (RPM), Inertia (lb ft ft) COMPONENT CHARACTERISTICS AND INITIAL CONDITIONS POS. POS. - CHARACTERISTICS - INITIAL HEAD HEAD #1 #2 (A) (B) (C) FLOW #1 #2 -------------------------------------------------------------------------------- AV-H AV-H 0.00 0.00 0.00 29355.14 29.81 29.38 AV-L AV-L 0.00 0.00 0.00 30783.46 37.61 37.14 BV-10 BV-10 0.00 0.00 0.00 0.00 59.55 59.55 BV-4 BV-4 0.00 0.00 0.00 30120.56 60.81 60.36 BV-5 BV-5 0.00 0.00 0.00 30018.04 61.11 60.67 CT-1 # 0.00 0.00 0.00 13463.37 2.34 0.00 CT-2 # 0.00 0.00 0.00 12358.63 1.97 0.00 CT-3 # 0.00 0.00 0.00 11705.51 1.77 0.00 CT-4 # 0.00 0.00 0.00 11402.00 1.68 0.00 CT-5 # 0.00 0.00 0.00 11209.09 1.62 0.00 # Pump-1 (pump file) 30120.56 -5.38 60.99 # Pump-2 (pump file) 30018.04 -5.21 61.29 # Pump-3 (pump file) 0.00 -7.00 59.55

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JUNCTION DATA JUNCTION NUMBER INITIAL INITIAL CONNECTING LOCATION OF LEGS HEAD DEMAND POSITIONS ---------------------------------------------------- J-1 2 59.40 291 J-10 3 27.45 266 268 J-11 3 27.33 267 269 J-12 2 27.25 271 J-13 2 60.89 288 J-14 2 61.19 277 J-15 2 59.55 278 J-16 2 51.60 279 J-17 2 40.70 280 J-18 2 61.57 284 J-19 2 49.59 282 J-2 3 73.74 289 292 J-20 2 73.65 283 J-21 3 74.05 263 270 J-22 2 74.05 272 J-3 3 81.52 290 293 J-31 3 36.71 265 275 J-4 2 59.71 273 J-41 2 64.56 264 J-5 2 59.55 274 J-6 2 51.69 294 J-7 2 28.99 281 J-8 3 28.24 285 287 J-9 3 27.73 276 286

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VARIABLE INPUT DATA INPUT # 1 : PUMP START UP OR SHUT DOWN IS SPECIFIED AT POSITION NO. # TIME - RATIO INPUT DATA TIME RATIO 0.000 1.00 2.000 1.00 PUMP TRIP SPECIFIED - TRIP INITIATED AT 2.00 SEC. THE FOLLOWING INITIAL VALUE IS CALCULATED FOR THIS VARIABLE INPUT: ... These should agree with initial values previously input (in parenthesis) THE INITIAL PUMP SPEED RATIO = 1.00 ( 1.00) INPUT # 2 : PUMP START UP OR SHUT DOWN IS SPECIFIED AT POSITION NO. # TIME - RATIO INPUT DATA TIME RATIO 0.000 1.00 2.000 1.00 PUMP TRIP SPECIFIED - TRIP INITIATED AT 2.00 SEC. THE FOLLOWING INITIAL VALUE IS CALCULATED FOR THIS VARIABLE INPUT: ... These should agree with initial values previously input (in parenthesis) THE INITIAL PUMP SPEED RATIO = 1.00 ( 1.00) INPUT # 3 : PUMP START UP OR SHUT DOWN IS SPECIFIED AT POSITION NO. # TIME - RATIO INPUT DATA TIME RATIO 0.000 0.00 NOTE: YOUR VARIABLE INPUT DATA PRODUCES A STEP CHANGE AT T=0 AT POS. NO. # - YOU SHOULD VERIFY YOUR INPUT REFERENCE VALUE(S) 100.000 0.00 THE FOLLOWING INITIAL VALUE IS CALCULATED FOR THIS VARIABLE INPUT: ... These should agree with initial values previously input (in parenthesis) THE INITIAL PUMP SPEED RATIO = 0.00 ( 1.00)

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INPUT # 4 : A BUTTERFLY VALVE AT POSITION BV-10 THIS VALVE OPERATES FROM 0.00 % AT T= 0.00 TO 0.00 % AT T= 30.00 seconds THE REFERENCE RESISTANCE (WIDE OPEN) = 0.00010 LINEAR STEM OPERATION IS SPECIFIED WITH THE FOLLOWING AREA RATIOS: -------------------- TIME RATIO -------------------- 0.0000 0.0000 3.0000 0.0000 6.0000 0.0000 9.0000 0.0000 12.0000 0.0000 15.0000 0.0000 18.0000 0.0000 21.0000 0.0000 24.0000 0.0000 27.0000 0.0000 30.0000 0.0000

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**** SUMMARY OF INITIAL CONDITIONS FOR LINE SEGMENTS **** END POSITION DESIGNATIONS :J - JUNCTION, C - COMPONENT, S - SDO * - THIS DENOTES AN UNDESIGNATED END POSITION (UNACCEPTABLE) - CORRECT DATA END POSITIONS FLOW HEAD HEAD ELEVATION #1 #2 1 to 2 #1 #2 LOSS DIFFERENCE ------------------------------------------------------------------------------ J-4 J J-21 J 30018.04 59.7 74.0 0.2 -14.5 J-31 J J-41 J 60138.59 36.7 64.6 2.0 -29.8 #J-21 J J-2 J 30018.04 74.0 73.7 0.3 0.0 J-14 J BV-5 C 30018.04 61.2 61.1 0.1 0.0 J-15 J BV-10 C 0.00 59.5 59.5 0.0 0.0 J-3 J J-20 J 30783.46 81.5 73.7 0.1 7.8 #J-41 J J-8 J 60138.59 64.6 28.2 3.8 32.5 AV-L C #J-31 J 30783.46 37.1 36.7 0.4 0.0 J-10 J J-11 J 22611.09 27.5 27.3 0.1 0.0 #J-10 J CT-3 C 11705.51 27.5 1.8 0.7 25.0 #J-11 J J-12 J 11209.09 27.3 27.3 0.1 0.0 J-9 J #J-10 J 34316.60 27.7 27.5 0.3 0.0 #J-11 J CT-4 C 11402.00 27.3 1.7 0.7 25.0 J-22 J #J-21 J 0.00 74.0 74.0 0.0 0.0 #J-12 J CT-5 C 11209.09 27.3 1.6 0.6 25.0 Pump-1 C J-13 J 30120.56 61.0 60.9 0.1 0.0 J-5 J #J-22 J 0.00 59.5 74.0 0.0 -14.5 BV-4 C J-1 J 30120.56 60.4 59.4 1.0 0.0 BV-5 C #J-4 J 30018.04 60.7 59.7 1.0 0.0 BV-10 C #J-5 J 0.00 59.5 59.5 0.0 0.0 J-6 J J-16 J 29355.14 51.7 51.6 0.1 0.0 J-7 J #J-31 J 29355.14 29.0 36.7 0.6 -8.3 #J-9 J CT-2 C 12358.63 27.7 2.0 0.8 25.0 Pump-2 C #J-14 J 30018.04 61.3 61.2 0.1 0.0 Pump-3 C #J-15 J 0.00 59.5 59.5 0.0 0.0 J-17 J AV-H C 29355.14 40.7 29.8 10.9 0.0 #J-16 J #J-17 J 29355.14 51.6 40.7 10.9 0.0 J-19 J AV-L C 30783.46 49.6 37.6 12.0 0.0 AV-H C #J-7 J 29355.14 29.4 29.0 0.4 0.0 J-18 J #J-19 J 30783.46 61.6 49.6 12.0 0.0 #J-20 J #J-18 J 30783.46 73.7 61.6 0.1 12.0 #J-8 J #J-9 J 46675.23 28.2 27.7 0.5 0.0 #J-8 J CT-1 C 13463.37 28.2 2.3 0.9 25.0 #J-13 J BV-4 C 30120.56 60.9 60.8 0.1 0.0 #J-2 J #J-3 J 60138.59 73.7 81.5 3.7 -11.5 #J-1 J #J-2 J 30120.56 59.4 73.7 0.2 -14.5 #J-3 J #J-6 J 29355.14 81.5 51.7 1.7 28.1 ================================================================================

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================================================================================ Tab. Results ****** FLOWRATE AND PRESSURE RESULTS ****** TIME Head at Flow at Head at Flow at Head at Head at Head at Head at AV-H AV-H AV-L AV-L BV-4 J-16 J-18 Pump-1 -------------------------------------------------------------------------------- 0.050 29.38 29355.14 37.14 30783.46 60.36 51.60 61.57 60.99 0.100 29.38 29355.14 37.14 30783.46 60.36 51.60 61.57 60.99 0.150 29.38 29355.14 37.14 30783.47 60.36 51.60 61.57 60.99 0.200 29.38 29355.11 37.14 30783.46 60.36 51.60 61.57 60.99 0.250 29.38 29355.10 37.14 30783.44 60.36 51.60 61.57 60.99 0.300 29.38 29355.11 37.14 30783.40 60.36 51.60 61.57 60.99 0.350 29.38 29355.14 37.14 30783.31 60.36 51.60 61.57 60.99 0.400 29.38 29355.21 37.14 30783.28 60.36 51.60 61.57 60.99 0.450 29.38 29355.25 37.14 30783.21 60.36 51.60 61.57 60.99 0.499 29.38 29355.29 37.14 30783.16 60.36 51.60 61.57 60.99 0.549 29.38 29355.32 37.14 30783.10 60.37 51.61 61.57 60.99 0.599 29.38 29355.37 37.14 30783.05 60.37 51.61 61.58 60.99 0.649 29.38 29355.44 37.14 30782.98 60.37 51.61 61.58 60.99 0.699 29.38 29355.51 37.14 30783.02 60.37 51.61 61.58 60.99 0.749 29.38 29355.58 37.14 30782.99 60.37 51.61 61.58 60.99 0.799 29.38 29355.61 37.14 30782.90 60.37 51.61 61.58 60.99 0.849 29.38 29355.59 37.14 30782.82 60.37 51.61 61.58 60.99 0.899 29.38 29355.66 37.14 30782.84 60.37 51.61 61.58 60.99 0.949 29.38 29355.71 37.14 30782.86 60.37 51.61 61.58 60.99 0.999 29.38 29355.72 37.14 30782.86 60.37 51.61 61.58 60.99 1.049 29.38 29355.72 37.14 30782.85 60.37 51.61 61.58 60.99 1.099 29.38 29355.76 37.14 30782.81 60.37 51.61 61.58 60.99 1.149 29.38 29355.79 37.14 30782.74 60.37 51.61 61.58 60.99 1.199 29.38 29355.82 37.14 30782.71 60.37 51.61 61.58 60.99 1.249 29.38 29355.87 37.14 30782.72 60.37 51.61 61.58 60.99 1.299 29.38 29355.92 37.14 30782.73 60.37 51.61 61.58 60.99 1.349 29.38 29355.93 37.14 30782.76 60.37 51.61 61.58 60.99 1.399 29.38 29355.96 37.14 30782.81 60.37 51.61 61.58 60.99 1.449 29.38 29355.92 37.14 30782.84 60.37 51.61 61.58 60.99 1.499 29.38 29355.96 37.14 30782.87 60.37 51.61 61.58 60.99 1.548 29.38 29355.99 37.14 30782.91 60.37 51.61 61.58 60.99 1.598 29.38 29356.00 37.14 30782.94 60.37 51.61 61.58 60.99 1.648 29.38 29356.02 37.14 30782.92 60.37 51.61 61.58 60.99 1.698 29.38 29356.06 37.14 30782.96 60.37 51.61 61.58 60.99 1.748 29.38 29356.13 37.14 30782.96 60.37 51.61 61.58 60.99 1.798 29.38 29356.15 37.14 30782.93 60.37 51.61 61.57 60.98 1.848 29.38 29356.22 37.14 30782.90 60.37 51.61 61.57 60.98 1.898 29.38 29356.26 37.14 30782.92 60.37 51.61 61.57 60.98 1.948 29.38 29356.31 37.14 30782.85 60.37 51.61 61.57 60.99 1.998 29.38 29356.38 37.14 30782.80 60.37 51.61 61.57 60.99 Pump Trip at 2.00 Seconds 2.048 29.38 29356.40 37.14 30782.72 51.54 51.61 61.57 50.56 2.098 29.38 29356.44 37.14 30782.67 41.94 50.40 58.98 41.37 2.148 21.68 29145.47 30.13 30464.60 33.96 38.52 48.10 33.63 2.198 12.29 28861.96 20.15 30119.25 27.11 30.09 39.26 27.01 2.248 4.49 28624.15 12.26 29842.34 21.05 22.75 31.32 21.10 2.298 -2.25 28414.83 5.60 29616.94 16.05 15.98 25.18 16.01 2.348 -7.65 28258.84 0.30 29418.32 11.45 10.29 19.97 11.64 2.398 -9.98 28037.23 -2.10 29165.55 7.88 6.50 15.72 7.86 2.448 -6.46 27687.25 1.55 28771.98 4.50 8.03 16.19 4.63 2.497 -0.26 27292.11 7.60 28319.52 2.86 13.39 21.84 2.11

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2.547 4.52 26968.80 12.83 27921.30 2.73 17.87 26.83 0.80 2.597 7.33 26709.28 15.03 27571.04 2.44 22.04 29.87 0.26 2.647 4.59 26408.31 12.64 27235.71 1.16 16.62 24.57 -0.45 2.697 1.49 25961.16 9.53 26715.93 -0.43 11.99 20.01 -1.10 2.747 -3.66 25592.85 4.48 26279.44 -1.78 8.77 16.90 -2.47 2.797 -9.20 25293.23 -1.08 25927.39 -1.99 3.37 12.56 -3.13 2.847 -10.20 25067.00 -2.25 25698.14 -3.61 2.69 10.79 -3.89 Minimum pressure at the condenser outlet 2.897 -10.70 24755.09 -2.61 25359.98 -4.62 0.17 8.54 -4.92 2.947 -9.73 24406.29 -1.33 24966.39 -5.10 0.81 9.56 -5.71 2.997 -4.04 24067.50 4.10 24575.04 -5.16 5.58 13.71 -6.16 3.047 2.14 23693.23 10.20 24160.05 -4.90 11.20 18.64 -6.28 3.097 4.34 23382.13 12.39 23806.51 -4.09 13.95 21.62 -6.00 3.147 3.04 23105.75 11.14 23487.48 -3.64 11.91 20.22 -5.55 3.197 0.96 22764.83 9.30 23084.79 -4.55 8.10 16.01 -5.44 3.247 -2.23 22376.13 5.75 22641.73 -5.23 5.64 13.04 -5.78 3.297 -6.88 22057.41 1.36 22319.38 -5.07 1.54 10.01 -6.04 3.347 -8.10 21823.73 0.16 22062.71 -5.36 1.15 9.60 -6.07 3.397 -8.36 21598.60 -0.17 21822.52 -6.01 -0.17 7.98 -6.53 3.446 -6.92 21254.73 1.34 21456.97 -6.20 -0.45 7.67 -6.73 Minimum pressure at the pump outlet 3.496 -2.68 20935.90 5.40 21120.46 -6.26 4.37 11.90 -6.99 3.546 1.22 20612.05 9.47 20758.07 -5.30 7.41 15.59 -6.87 3.596 4.42 20340.35 12.70 20439.71 -4.95 10.72 18.69 -6.47 3.646 4.80 20073.14 12.90 20130.68 -4.54 10.65 18.11 -6.10 3.696 1.85 19757.69 10.09 19795.50 -4.67 7.40 15.08 -5.86 3.746 -1.16 19461.24 7.17 19465.02 -5.08 3.82 11.88 -5.82 3.796 -3.23 19153.92 5.01 19127.71 -5.35 1.84 9.76 -5.96 3.846 -5.22 18908.63 2.94 18869.04 -5.47 0.89 8.80 -6.09 3.896 -6.09 18707.37 2.05 18679.28 -5.39 0.20 8.21 -6.13 3.946 -4.30 18448.55 4.08 18420.23 -5.81 -0.20 8.07 -6.24 3.996 -0.80 18144.67 7.53 18060.35 -5.91 3.31 11.00 -6.40 4.046 1.69 17856.14 9.90 17754.42 -5.02 6.03 13.81 -6.39 4.096 4.83 17596.18 13.06 17475.93 -4.51 8.85 16.74 -5.94 4.146 5.99 17373.71 14.21 17220.05 -4.37 9.96 17.35 -5.71 4.196 3.22 17088.57 11.53 16896.39 -4.14 6.37 14.40 -5.48 4.246 0.73 16833.44 8.98 16620.92 -4.70 4.28 11.90 -5.37 4.296 -1.22 16562.96 7.02 16342.73 -4.78 2.02 9.67 -5.43 4.346 -2.92 16312.89 5.42 16078.28 -4.98 0.73 8.88 -5.53 4.395 -3.49 16138.24 4.83 15885.59 -4.89 0.31 8.58 -5.57 4.445 -2.27 15917.57 5.91 15665.92 -5.00 0.92 8.66 -5.59 4.495 0.14 15662.13 8.46 15397.34 -5.14 2.41 10.04 -5.67 4.545 3.09 15385.06 11.38 15095.91 -4.63 5.14 12.85 -5.64 4.595 5.43 15145.46 13.77 14827.55 -4.13 7.74 15.64 -5.46 4.645 6.12 14947.00 14.37 14602.43 -3.79 9.00 16.35 -5.18 4.695 4.85 14711.11 13.15 14361.86 -3.83 6.44 14.12 -4.98 4.745 2.77 14451.02 11.22 14065.30 -4.38 4.22 12.12 -4.89 4.795 -0.15 14229.40 8.24 13814.75 -4.25 2.17 10.03 -4.98 4.845 -1.49 14001.15 6.83 13581.17 -4.36 0.58 8.62 -4.95 4.895 -0.92 13825.41 7.34 13401.34 -4.70 1.31 8.94 -5.02 4.945 -0.93 13618.36 7.40 13190.36 -4.31 0.96 8.89 -5.08 4.995 0.76 13408.20 9.16 12964.57 -4.39 2.12 10.11 -5.07 5.045 4.11 13182.94 12.36 12713.23 -4.24 4.59 12.14 -5.05 5.095 6.34 12918.92 14.56 12432.92 -3.84 7.21 14.55 -4.97 5.145 6.43 12732.35 14.79 12224.72 -3.36 7.68 15.63 -4.77 5.195 5.89 12547.05 14.25 12013.20 -3.35 6.64 14.39 -4.56 5.245 4.15 12319.46 12.45 11761.65 -3.91 4.34 11.98 -4.52 5.295 1.42 12087.52 9.73 11508.78 -3.95 2.23 9.71 -4.55 5.344 -0.08 11878.46 8.26 11305.98 -3.92 0.80 8.87 -4.57 5.394 0.07 11717.73 8.45 11122.37 -4.21 1.21 9.18 -4.59 5.444 0.39 11546.47 8.77 10943.73 -3.97 1.29 9.02 -4.65

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5.494 2.00 11328.57 10.37 10719.81 -4.13 2.18 9.98 -4.63 5.544 4.34 11136.50 12.72 10504.15 -3.90 4.44 12.11 -4.64 5.594 6.14 10903.42 14.55 10246.36 -3.41 5.91 13.67 -4.55 5.644 7.53 10714.99 15.83 10024.16 -3.37 7.39 15.05 -4.42 5.694 6.65 10538.60 14.91 9830.84 -3.11 6.68 14.10 -4.29 5.744 4.53 10334.71 12.82 9619.80 -3.31 4.40 12.10 -4.21 5.794 2.68 10142.86 11.12 9401.09 -3.72 1.97 9.81 -4.22 5.844 1.51 9929.53 9.83 9166.89 -3.77 1.26 8.92 -4.27 5.894 0.64 9763.08 8.94 9001.09 -3.76 1.04 8.97 -4.31 5.944 1.29 9618.02 9.70 8848.47 -3.61 1.34 9.19 -4.29 5.994 3.15 9430.23 11.54 8646.39 -3.83 2.29 10.15 -4.32 6.044 4.57 9234.19 12.97 8412.68 -3.66 3.94 11.56 -4.33 6.094 6.13 9031.77 14.45 8205.86 -3.15 5.48 13.01 -4.28 6.144 7.87 8840.50 16.26 7989.24 -3.27 6.92 14.54 -4.17 6.194 7.17 8680.01 15.54 7795.42 -3.01 6.49 14.16 -4.12 6.244 5.03 8489.64 13.42 7586.55 -3.08 4.26 12.04 -4.05 6.293 3.65 8318.52 11.99 7398.39 -3.62 2.51 10.20 -4.05 6.343 2.08 8120.61 10.48 7179.35 -3.61 1.00 8.68 -4.10 6.393 1.42 7940.47 9.78 6987.68 -3.59 0.88 8.89 -4.14 6.443 1.94 7818.77 10.32 6848.76 -3.53 1.30 9.16 -4.15 6.493 3.45 7648.46 11.71 6675.79 -3.49 2.53 9.98 -4.15 6.543 4.92 7461.44 13.32 6473.74 -3.58 3.30 11.03 -4.17 6.593 6.59 7268.51 15.00 6243.68 -3.19 4.93 12.65 -4.15 6.643 7.65 7089.28 16.00 6041.31 -3.10 6.44 14.05 -4.11 6.693 7.30 6934.11 15.65 5857.39 -2.99 6.12 13.74 -4.05 6.743 6.05 6756.97 14.47 5667.29 -3.15 4.52 12.15 -4.03 6.793 4.00 6584.81 12.41 5458.99 -3.51 2.50 10.44 -4.03 6.843 2.10 6420.89 10.49 5274.06 -3.43 0.90 8.64 -4.06 6.893 2.13 6236.01 10.44 5082.98 -3.67 0.76 8.46 -4.09 6.943 2.68 6100.94 11.00 4931.42 -3.65 1.48 9.24 -4.12 6.993 3.05 5952.25 11.49 4766.69 -3.26 1.94 9.84 -4.13 7.043 5.15 5792.43 13.52 4586.57 -3.54 3.25 11.00 -4.13 7.093 6.93 5610.44 15.30 4367.26 -3.44 4.51 11.97 -4.14 7.143 7.52 5408.48 15.83 4146.21 -3.06 5.94 13.42 -4.13 7.193 7.25 5271.71 15.70 3979.68 -3.03 5.54 13.48 -4.10 7.242 6.56 5121.30 14.92 3794.43 -3.19 4.62 12.18 -4.08 7.292 4.43 4946.05 12.75 3600.42 -3.56 2.66 10.20 -4.10 7.342 2.43 4775.28 10.83 3409.12 -3.57 0.73 8.53 -4.13 7.392 2.23 4616.68 10.66 3234.00 -3.71 0.61 8.52 -4.16 7.442 2.64 4477.87 11.05 3062.27 -3.72 1.11 9.07 -4.19 7.492 3.43 4336.46 11.80 2904.04 -3.45 1.90 9.60 -4.21 7.542 5.13 4174.78 13.48 2724.60 -3.58 3.15 10.84 -4.23 7.592 6.45 4017.94 14.86 2530.91 -3.46 4.11 11.81 -4.25 7.642 7.38 3824.95 15.73 2302.12 -3.23 5.12 12.67 -4.26 7.692 7.78 3670.31 16.06 2117.32 -3.35 5.68 13.22 -4.27 7.742 6.26 3532.32 14.58 1950.36 -3.25 4.30 11.99 -4.28 7.792 4.56 3371.04 12.93 1767.04 -3.58 2.61 10.31 -4.29 7.842 3.08 3213.47 11.51 1569.11 -3.96 0.47 8.44 -4.33 7.892 2.18 3045.31 10.52 1369.65 -3.85 0.43 8.07 -4.36 7.942 2.18 2906.87 10.53 1223.82 -3.81 0.75 8.62 -4.39 7.992 3.61 2777.92 12.04 1062.10 -3.77 1.56 9.43 -4.42 8.042 5.08 2627.04 13.45 879.46 -3.78 3.01 10.65 -4.44 8.092 5.89 2465.81 14.25 681.98 -3.63 3.67 11.39 -4.46 8.142 7.23 2293.38 15.64 479.30 -3.55 4.78 12.32 -4.47 8.192 7.70 2126.23 16.10 264.19 -3.67 5.30 13.01 -4.49 8.242 6.07 1992.73 14.47 84.29 -3.47 4.14 12.01 -4.51 8.291 4.56 1844.09 12.91 -92.25 -3.73 2.60 10.21 -4.53 8.341 3.32 1695.39 11.54 -269.56 -4.38 0.76 8.57 -4.56 8.391 1.91 1526.69 10.30 -481.61 -4.97 -0.33 7.55 -4.58 8.441 2.18 1382.49 10.50 -651.85 -3.97 0.55 8.39 -4.60 8.491 3.78 1271.16 11.74 -798.24 -3.94 1.46 9.08 -4.62 8.541 4.81 1117.74 13.01 -975.83 -4.03 2.79 10.43 -4.63 8.591 5.88 958.55 14.33 -1178.37 -3.74 3.31 11.43 -4.65 8.641 7.08 791.79 15.38 -1396.01 -3.70 4.21 12.05 -4.63 8.691 7.08 631.05 15.49 -1592.65 -3.69 5.13 12.58 -4.61

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8.741 6.29 483.98 14.64 -1784.34 -3.71 4.03 11.83 -4.57 8.791 4.87 342.20 13.15 -1959.62 -3.39 2.73 10.57 -4.54 8.841 2.89 200.58 11.27 -2139.73 -3.93 0.85 8.70 -4.51 8.891 2.10 44.62 10.28 -2320.61 -4.10 -0.08 7.44 -4.51 8.941 2.56 -119.50 10.98 -2508.11 -3.76 0.44 8.08 -4.51 8.991 3.15 -246.42 11.46 -2668.75 -2.80 1.21 9.06 -4.50 9.041 4.35 -369.72 12.55 -2829.12 -3.76 2.31 10.11 -4.44 9.091 6.26 -526.52 14.71 -3004.89 -3.80 3.66 11.15 -4.40 9.141 6.86 -705.83 15.37 -3222.48 -3.14 4.04 11.24 -4.38 9.191 6.90 -875.02 15.03 -3416.55 -2.76 4.93 12.15 -4.30 9.241 6.59 -1012.16 14.95 -3577.31 -3.53 4.22 11.93 -4.25 9.291 5.84 -1154.05 13.73 -3759.24 -3.55 3.24 10.66 -4.20 9.341 3.28 -1308.63 11.80 -3939.84 -2.68 1.40 8.79 -4.20 9.391 2.22 -1463.19 10.79 -4100.46 -3.87 -0.17 7.79 -4.17 9.441 2.64 -1615.45 11.11 -4267.54 -3.96 0.66 8.26 -4.18 9.491 3.23 -1761.48 11.62 -4431.55 -3.57 1.47 9.08 -4.17 9.541 4.61 -1891.96 12.63 -4575.76 -3.61 2.58 10.32 -4.12 9.591 6.19 -2036.56 14.48 -4730.40 -3.79 3.74 11.47 -4.05 9.641 6.81 -2203.82 15.34 -4920.70 -3.14 4.19 11.66 -4.01 9.691 7.49 -2376.97 15.69 -5123.63 -3.10 4.92 12.17 -3.92 9.740 7.08 -2527.21 15.20 -5281.90 -3.21 4.66 11.91 -3.83 9.790 5.30 -2663.34 13.90 -5425.86 -3.50 2.98 10.93 -3.74 9.840 4.17 -2817.21 12.61 -5587.45 -3.14 2.02 9.51 -3.68 9.890 3.04 -2959.36 11.46 -5749.87 -3.33 0.37 8.07 -3.66 9.940 2.80 -3116.17 11.17 -5908.71 -3.59 0.71 8.09 -3.63 9.990 3.64 -3257.82 11.98 -6036.67 -3.35 1.49 9.03 -3.61 10.040 5.57 -3398.93 13.77 -6191.90 -2.89 2.81 10.49 -3.53 10.090 6.15 -3535.50 14.67 -6335.87 -2.70 4.02 11.58 -3.45 10.140 6.95 -3696.11 15.50 -6496.32 -2.63 4.27 11.82 -3.35 10.190 7.89 -3861.33 16.18 -6669.54 -2.62 4.73 12.46 -3.23 10.240 7.32 -4023.54 15.69 -6845.49 -2.32 4.73 12.34 -3.10 10.290 5.57 -4151.55 14.26 -6976.41 -2.15 3.49 11.22 -2.97 10.340 5.06 -4286.57 13.31 -7095.49 -2.67 2.49 10.00 -2.86 10.390 3.99 -4434.75 12.36 -7229.62 -2.28 1.15 8.87 -2.83 10.440 3.77 -4586.30 11.85 -7394.55 -2.34 0.81 8.62 -2.80 10.490 4.42 -4727.11 12.90 -7519.50 -2.29 1.79 9.68 -2.75 10.540 5.70 -4856.46 14.13 -7642.00 -1.78 2.86 10.64 -2.67 10.590 6.88 -4994.37 15.39 -7781.07 -1.46 4.28 11.78 -2.54 10.640 7.37 -5145.39 16.08 -7917.46 -1.72 4.66 12.28 -2.41 10.690 7.97 -5290.85 16.55 -8076.72 -1.63 4.92 12.50 -2.25 10.740 7.77 -5444.11 16.12 -8210.75 -1.16 5.12 12.41 -2.13 10.790 6.95 -5592.54 15.56 -8349.13 -0.98 4.12 11.98 -1.96 10.840 5.87 -5708.30 14.40 -8458.23 -1.35 3.14 10.95 -1.86 10.890 4.69 -5837.96 13.15 -8575.91 -1.36 1.97 9.62 -1.78 10.940 4.75 -5987.49 13.34 -8707.56 -1.41 1.65 9.54 -1.73 10.990 5.45 -6125.29 13.95 -8839.78 -1.47 2.53 10.24 -1.69 11.040 6.06 -6251.47 14.59 -8932.33 -0.93 3.40 11.13 -1.59 11.090 7.51 -6363.17 16.00 -9040.83 -0.80 4.59 12.11 -1.42 11.139 8.74 -6508.47 17.02 -9166.55 -0.72 5.39 12.98 -1.28 11.189 8.50 -6656.80 17.17 -9297.52 -0.50 5.13 12.97 -1.14 11.239 8.42 -6789.07 16.96 -9425.17 -0.30 5.57 13.06 -0.97 11.289 8.20 -6920.25 16.54 -9540.03 -0.28 4.82 12.36 -0.84 11.339 6.92 -7042.19 15.53 -9648.35 -0.35 4.00 11.55 -0.70 11.389 5.81 -7158.26 14.28 -9737.70 -0.26 3.03 10.67 -0.62 11.439 5.96 -7292.97 14.33 -9845.95 -0.29 2.28 10.21 -0.54 11.489 6.52 -7409.28 14.83 -9954.29 -0.21 3.17 10.71 -0.52 11.539 7.05 -7537.58 15.64-10059.32 0.26 4.11 11.56 -0.43 11.589 8.44 -7651.71 16.79-10146.80 0.31 5.14 12.52 -0.31 11.639 9.10 -7772.13 17.64-10244.40 0.43 5.59 13.31 -0.16 11.689 9.41 -7898.57 17.83-10364.80 0.62 5.84 13.24 -0.04 11.739 9.44 -8032.35 17.56-10480.04 0.66 5.78 13.50 0.06 11.789 8.79 -8148.67 17.09-10577.01 0.61 5.36 12.87 0.17 11.839 7.51 -8254.70 16.23-10661.71 0.85 4.32 12.09 0.27 11.889 7.13 -8369.39 15.69-10748.49 0.69 3.94 11.45 0.31 11.939 6.73 -8482.71 15.24-10832.91 0.57 3.15 10.87 0.24

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11.989 6.98 -8597.22 15.23-10921.76 0.61 3.55 11.06 0.21 12.039 8.05 -8709.17 16.42-11020.04 0.69 4.29 11.96 0.15 12.089 8.87 -8827.45 17.37-11117.42 0.72 5.05 12.84 0.17 12.139 9.30 -8921.18 17.70-11196.92 0.94 5.75 13.19 0.22 12.189 9.70 -9050.43 18.01-11295.85 0.93 5.73 13.00 0.30 12.239 9.62 -9171.23 18.19-11407.59 0.81 5.55 13.14 0.33 12.289 8.92 -9281.70 17.27-11503.16 1.00 5.23 12.69 0.36 12.339 8.29 -9388.99 16.61-11578.52 1.07 4.54 12.09 0.40 12.389 7.86 -9488.26 16.31-11651.33 0.90 3.82 11.38 0.39 12.439 7.39 -9601.14 15.69-11744.61 0.78 3.35 10.90 0.37 12.489 7.49 -9701.98 15.82-11832.29 0.74 3.36 11.08 0.39 12.539 8.36 -9809.83 16.79-11921.48 0.76 4.33 11.83 0.40 12.588 8.99 -9920.55 17.53-11997.32 0.92 4.87 12.55 0.44 12.638 9.63-10016.50 18.09-12080.22 1.09 5.56 13.20 0.53 12.688 10.07-10124.00 18.43-12167.82 1.17 5.75 13.20 0.60 12.738 9.91-10237.03 18.44-12270.19 1.13 5.54 12.96 0.68 12.788 9.44-10344.40 17.90-12353.12 1.27 5.21 12.94 0.76 12.838 9.04-10450.18 17.44-12439.19 1.27 4.80 12.34 0.83 12.888 8.36-10528.43 16.83-12502.62 1.26 4.18 11.82 0.87 12.938 7.97-10627.44 16.45-12579.26 1.18 3.70 11.23 0.90 12.988 8.31-10736.89 16.74-12657.97 1.14 3.81 11.24 0.91 13.038 8.92-10827.26 17.19-12733.69 1.32 4.30 11.89 0.92 13.088 9.37-10918.17 17.88-12806.68 1.55 4.91 12.62 0.98 13.138 10.30-11016.53 18.74-12882.79 1.53 5.67 12.97 1.06 13.188 10.51-11111.30 18.99-12960.61 1.57 5.82 13.36 1.14 13.238 10.33-11211.43 18.68-13042.62 1.77 5.53 13.17 1.23 13.288 10.00-11302.06 18.59-13125.09 1.74 5.28 13.01 1.30 13.338 9.66-11399.22 18.16-13203.09 1.69 4.91 12.56 1.34 13.388 8.95-11482.80 17.37-13264.97 1.80 4.49 12.13 1.40 13.438 8.72-11562.65 17.22-13318.93 1.82 4.25 11.77 1.43 13.488 8.83-11653.00 17.48-13398.32 1.72 3.93 11.71 1.44 13.538 9.31-11739.80 17.71-13463.23 1.79 4.47 12.03 1.44 13.588 9.93-11831.11 18.37-13535.74 2.07 5.17 12.67 1.53 13.638 10.62-11912.40 19.23-13600.53 2.08 5.60 13.32 1.63 13.688 10.90-11991.52 19.35-13671.74 2.24 5.70 13.40 1.75 13.738 10.85-12083.96 19.24-13744.49 2.33 5.83 13.25 1.85 13.788 10.65-12168.24 19.14-13813.89 2.41 5.52 12.98 1.95 13.838 10.29-12249.96 18.67-13877.66 2.48 5.29 12.79 2.03 13.888 9.71-12325.69 18.30-13938.41 2.48 4.80 12.53 2.11 13.938 9.72-12395.67 18.19-13990.32 2.55 4.64 12.38 2.18 13.987 9.61-12472.31 18.10-14051.03 2.49 4.47 12.24 2.23 14.037 10.06-12548.71 18.53-14113.43 2.62 4.83 12.55 2.29 14.087 10.67-12628.69 19.20-14178.04 2.75 5.43 13.12 2.35 14.137 11.19-12699.58 19.78-14235.69 2.94 5.99 13.69 2.45 14.187 11.47-12763.97 19.94-14285.38 3.03 6.21 13.81 2.55 14.237 11.71-12847.29 20.08-14353.25 3.08 6.20 13.74 2.66 14.287 11.39-12916.73 19.84-14416.12 3.11 5.88 13.48 2.73 14.337 10.82-12985.38 19.44-14468.36 3.26 5.52 13.36 2.83 14.387 10.78-13055.15 19.30-14522.41 3.23 5.44 13.04 2.89 14.437 10.48-13113.93 18.98-14568.89 3.22 5.05 12.75 2.94 14.487 10.37-13176.43 18.83-14618.40 3.37 5.04 12.68 3.00 14.537 10.78-13244.68 19.24-14671.56 3.38 5.31 12.88 3.06 14.587 11.41-13309.78 19.94-14722.71 3.46 5.79 13.36 3.11 14.637 11.73-13373.67 20.20-14773.31 3.63 6.11 13.88 3.19 14.687 12.10-13434.48 20.57-14821.54 3.72 6.64 14.22 3.29 14.737 12.15-13492.88 20.65-14871.36 3.77 6.45 14.15 3.37 14.787 11.92-13560.45 20.43-14931.75 3.80 6.24 13.78 3.46 14.837 11.53-13618.67 20.07-14977.21 3.89 5.93 13.62 3.53 14.887 11.44-13678.60 19.86-15025.76 3.93 5.71 13.43 3.59 14.937 11.17-13724.72 19.57-15061.36 3.89 5.48 13.25 3.64 14.987 11.19-13782.56 19.51-15103.75 3.99 5.51 13.02 3.70 15.037 11.36-13840.88 19.99-15146.45 4.03 5.73 13.35 3.73 15.087 11.72-13890.58 20.28-15190.54 4.14 5.87 13.66 3.79 15.137 12.36-13947.26 20.84-15236.64 4.27 6.53 14.11 3.86 15.187 12.68-14001.33 21.18-15279.35 4.30 6.78 14.30 3.93

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15.237 12.57-14048.87 21.06-15322.88 4.44 6.71 14.35 4.02 15.287 12.41-14104.61 20.90-15365.98 4.47 6.48 14.20 4.10 15.337 12.29-14155.72 20.74-15411.43 4.49 6.35 13.92 4.16 15.387 11.94-14207.70 20.40-15450.68 4.49 6.07 13.68 4.21 15.436 11.73-14252.77 20.22-15483.14 4.58 5.88 13.66 4.28 15.486 11.89-14294.30 20.35-15515.83 4.60 5.93 13.60 4.32 15.536 12.08-14341.84 20.46-15561.35 4.62 5.99 13.65 4.36 15.586 12.32-14387.38 20.73-15596.83 4.73 6.29 13.89 4.42 15.636 12.82-14435.56 21.23-15633.71 4.85 6.79 14.38 4.49 15.686 13.18-14478.90 21.61-15668.70 4.92 6.92 14.64 4.55 15.736 13.07-14519.95 21.55-15705.07 5.03 6.91 14.57 4.63 15.786 13.06-14567.41 21.48-15738.76 5.05 6.94 14.51 4.71 15.836 12.81-14609.21 21.27-15778.58 5.05 6.60 14.25 4.76 15.886 12.49-14652.23 20.99-15813.65 5.14 6.36 14.11 4.82 15.936 12.40-14690.39 20.97-15843.87 5.11 6.37 14.08 4.86 15.986 12.39-14724.88 20.89-15871.32 5.16 6.25 13.95 4.90 16.036 12.54-14762.27 20.97-15900.09 5.23 6.38 14.01 4.95 16.086 12.79-14804.59 21.35-15935.35 5.27 6.60 14.31 4.99 16.136 13.22-14842.92 21.70-15968.16 5.35 6.92 14.60 5.03 16.186 13.45-14879.88 21.94-15998.05 5.51 7.19 14.86 5.10 16.236 13.63-14914.38 22.05-16026.46 5.51 7.23 14.89 5.17 16.286 13.56-14954.29 21.98-16063.06 5.54 7.10 14.83 5.23 16.336 13.22-14987.89 21.71-16092.64 5.58 6.84 14.54 5.28 16.386 13.01-15022.67 21.51-16119.47 5.67 6.70 14.39 5.33 16.436 13.04-15059.59 21.50-16145.63 5.61 6.76 14.33 5.36 16.486 12.84-15083.93 21.32-16169.76 5.67 6.42 14.24 5.40 16.536 12.99-15116.44 21.42-16192.60 5.74 6.70 14.34 5.44 16.586 13.31-15150.79 21.77-16219.29 5.71 6.91 14.56 5.47 16.636 13.54-15184.00 22.09-16249.91 5.81 7.07 14.79 5.51 16.686 13.72-15215.55 22.26-16276.88 5.91 7.32 15.12 5.57 16.736 13.94-15243.66 22.43-16302.71 5.94 7.49 15.13 5.63 16.786 13.84-15274.19 22.35-16330.58 5.99 7.31 15.00 5.68 16.835 13.67-15307.30 22.12-16354.99 6.01 7.15 14.83 5.73 16.885 13.41-15334.59 21.95-16378.79 6.05 6.97 14.68 5.76 16.935 13.36-15361.85 21.83-16400.83 6.07 6.88 14.58 5.79 16.985 13.35-15385.82 21.79-16419.57 6.06 6.82 14.46 5.82 17.035 13.44-15413.59 21.93-16441.52 6.11 6.97 14.63 5.86 17.085 13.60-15440.96 22.14-16464.01 6.15 6.95 14.81 5.88 17.135 13.83-15466.00 22.32-16487.11 6.19 7.19 14.97 5.92 17.185 14.18-15493.62 22.59-16513.29 6.26 7.63 15.24 5.97 17.235 14.21-15520.12 22.67-16532.71 6.32 7.60 15.29 6.01 17.285 14.12-15541.57 22.59-16552.13 6.38 7.48 15.22 6.07 17.335 14.03-15568.15 22.55-16572.07 6.40 7.40 15.10 6.10 17.385 13.86-15594.43 22.39-16598.24 6.38 7.20 14.90 6.13 17.435 13.68-15616.25 22.14-16616.39 6.42 7.11 14.82 6.16 17.485 13.68-15638.55 22.20-16632.62 6.44 7.12 14.84 6.19 17.535 13.79-15658.12 22.25-16649.83 6.45 7.13 14.91 6.21 17.585 13.94-15681.24 22.41-16671.04 6.50 7.27 14.90 6.23 17.635 14.11-15703.36 22.64-16686.67 6.55 7.44 15.13 6.27 17.685 14.42-15728.39 22.88-16708.01 6.59 7.69 15.35 6.30 17.735 14.47-15748.19 22.91-16725.15 6.69 7.70 15.45 6.34 17.785 14.39-15767.47 22.93-16745.15 6.69 7.66 15.40 6.39 17.835 14.36-15786.93 22.81-16761.90 6.68 7.60 15.30 6.42 17.885 14.20-15811.06 22.61-16780.78 6.69 7.31 15.08 6.45 17.935 14.03-15828.72 22.54-16798.59 6.72 7.30 15.07 6.47 17.985 14.03-15847.16 22.46-16812.46 6.71 7.35 15.02 6.49 18.035 14.03-15864.34 22.53-16825.20 6.76 7.29 15.03 6.51 18.085 14.19-15882.11 22.70-16839.43 6.78 7.50 15.16 6.54 18.135 14.43-15901.76 22.88-16857.72 6.81 7.63 15.37 6.57 18.185 14.56-15920.56 23.06-16875.23 6.85 7.74 15.48 6.61 18.234 14.69-15938.57 23.16-16889.88 6.94 7.86 15.57 6.66 18.284 14.76-15954.10 23.21-16905.22 6.97 7.85 15.55 6.69 18.334 14.56-15972.19 23.02-16921.69 7.02 7.73 15.46 6.73 18.384 14.43-15988.35 22.93-16934.02 7.02 7.58 15.26 6.77 18.434 14.36-16004.09 22.85-16946.96 7.02 7.47 15.25 6.80

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18.484 14.36-16022.85 22.84-16959.50 7.06 7.55 15.28 6.82 18.534 14.32-16033.63 22.79-16971.98 7.07 7.49 15.24 6.85 18.584 14.55-16046.93 22.98-16981.60 7.12 7.72 15.41 6.88 18.634 14.64-16064.52 23.17-16997.00 7.14 7.77 15.52 6.91 18.684 14.81-16079.81 23.29-17011.78 7.21 7.90 15.63 6.94 18.734 14.91-16092.23 23.34-17023.11 7.25 8.07 15.73 6.98 18.784 14.94-16107.15 23.39-17035.35 7.27 8.05 15.74 7.01 18.834 14.83-16119.90 23.30-17046.22 7.29 7.93 15.61 7.05 18.884 14.71-16134.60 23.22-17057.57 7.31 7.77 15.54 7.08 18.934 14.64-16147.09 23.14-17068.55 7.30 7.70 15.48 7.10 18.984 14.60-16158.74 23.07-17079.90 7.35 7.70 15.41 7.12 19.034 14.65-16171.16 23.15-17087.92 7.38 7.78 15.46 7.14 19.084 14.71-16182.21 23.23-17097.39 7.39 7.81 15.58 7.17 19.134 14.88-16193.01 23.40-17108.44 7.44 7.94 15.67 7.19 19.184 15.02-16205.86 23.50-17117.71 7.46 8.03 15.75 7.22 19.234 15.11-16217.58 23.63-17129.82 7.50 8.27 15.91 7.25 19.284 15.09-16229.97 23.56-17138.84 7.54 8.15 15.90 7.27 19.334 15.04-16238.72 23.55-17147.86 7.55 8.08 15.81 7.31 19.384 14.96-16249.56 23.47-17157.67 7.54 8.02 15.79 7.33 19.434 14.90-16261.46 23.32-17168.62 7.57 7.88 15.59 7.35 19.484 14.80-16269.48 23.29-17174.01 7.59 7.84 15.60 7.37 19.534 14.90-16279.10 23.35-17182.72 7.60 7.94 15.63 7.39 19.584 14.95-16288.63 23.45-17190.58 7.63 7.96 15.72 7.40 19.634 15.05-16298.35 23.54-17196.43 7.66 8.11 15.80 7.43 19.683 15.20-16308.50 23.69-17204.86 7.69 8.21 15.92 7.44 19.733 15.27-16318.35 23.78-17215.36 7.69 8.26 16.01 7.47 19.783 15.28-16326.41 23.78-17224.02 7.76 8.26 16.01 7.49 19.833 15.24-16333.98 23.72-17230.60 7.75 8.22 15.95 7.52 19.883 15.11-16342.82 23.61-17237.45 7.77 8.14 15.87 7.53 19.933 15.01-16352.67 23.55-17245.64 7.78 8.00 15.75 7.55 19.983 15.02-16359.50 23.48-17251.29 7.79 8.03 15.75 7.57 20.033 15.08-16366.41 23.51-17256.38 7.79 8.07 15.79 7.58 20.083 15.10-16374.73 23.60-17262.75 7.82 8.05 15.83 7.60 20.133 15.24-16380.45 23.73-17268.41 7.82 8.20 15.93 7.61 20.183 15.34-16389.85 23.84-17279.71 7.86 8.30 16.05 7.63 20.233 15.36-16397.80 23.87-17284.11 7.89 8.34 16.05 7.65 20.283 15.40-16404.29 23.92-17290.08 7.91 8.41 16.10 7.67 20.333 15.39-16412.71 23.84-17295.92 7.92 8.34 16.06 7.69 20.383 15.25-16417.68 23.74-17301.94 7.94 8.22 15.96 7.70 20.433 15.22-16426.35 23.72-17305.95 7.93 8.16 15.88 7.72 20.483 15.19-16432.33 23.68-17313.56 7.92 8.11 15.88 7.73 20.533 15.17-16438.03 23.65-17317.90 7.98 8.15 15.89 7.74 20.583 15.23-16443.00 23.73-17322.62 7.97 8.19 15.92 7.75 20.633 15.37-16448.86 23.85-17326.91 7.98 8.29 16.04 7.76 20.683 15.42-16457.19 23.90-17332.84 8.01 8.38 16.08 7.78 20.733 15.50-16462.58 23.97-17338.82 8.03 8.40 16.15 7.79 20.783 15.54-16467.09 24.00-17344.37 8.03 8.48 16.20 7.81 20.833 15.48-16474.40 23.97-17350.33 8.07 8.46 16.15 7.82 20.883 15.38-16479.10 23.90-17353.85 8.06 8.32 16.07 7.84 20.933 15.34-16484.07 23.86-17357.82 8.06 8.26 16.03 7.85 20.983 15.30-16489.97 23.81-17364.13 8.06 8.21 15.94 7.86 21.033 15.29-16494.26 23.77-17366.61 8.08 8.22 15.96 7.87 21.082 15.43-16500.39 23.87-17369.71 8.10 8.31 16.03 7.88 21.132 15.42-16504.28 23.91-17374.41 8.11 8.35 16.12 7.89 21.182 15.53-16508.29 24.02-17377.71 8.14 8.43 16.17 7.90 21.232 15.62-16515.69 24.09-17384.27 8.13 8.47 16.23 7.91 21.282 15.62-16520.07 24.10-17389.01 8.15 8.58 16.26 7.92 21.332 15.54-16524.19 24.05-17392.66 8.20 8.45 16.22 7.94 21.382 15.56-16527.77 24.04-17396.95 8.17 8.42 16.16 7.95 21.432 15.44-16531.33 23.92-17400.58 8.18 8.38 16.09 7.96 21.482 15.39-16537.33 23.87-17403.81 8.18 8.32 16.02 7.96 21.532 15.42-16540.26 23.89-17405.07 8.18 8.31 16.04 7.97 21.582 15.48-16544.70 23.99-17409.28 8.20 8.39 16.14 7.98 21.632 15.50-16548.45 24.02-17413.14 8.21 8.37 16.16 7.98 21.682 15.65-16553.25 24.11-17415.73 8.22 8.46 16.22 8.00

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21.732 15.68-16557.18 24.18-17422.17 8.23 8.56 16.30 8.00 21.782 15.66-16561.60 24.14-17426.54 8.24 8.54 16.28 8.02 21.832 15.65-16564.49 24.15-17427.64 8.26 8.54 16.27 8.03 21.882 15.59-16568.48 24.09-17430.58 8.25 8.52 16.24 8.04 21.932 15.53-16571.50 24.01-17433.67 8.26 8.42 16.14 8.04 21.982 15.49-16575.63 23.97-17435.48 8.26 8.36 16.12 8.05 22.032 15.53-16579.03 24.01-17440.40 8.25 8.36 16.14 8.06 22.082 15.53-16581.13 24.01-17442.35 8.28 8.42 16.16 8.06 22.132 15.62-16584.84 24.10-17445.75 8.28 8.47 16.21 8.07 22.182 15.69-16587.10 24.17-17447.90 8.29 8.55 16.31 8.08 22.232 15.73-16591.85 24.20-17451.26 8.32 8.59 16.30 8.08 22.282 15.74-16595.49 24.24-17453.67 8.32 8.55 16.31 8.09 22.332 15.75-16597.94 24.24-17457.29 8.32 8.59 16.33 8.10 22.382 15.67-16601.57 24.15-17459.82 8.34 8.55 16.29 8.11 22.432 15.59-16603.78 24.10-17462.12 8.33 8.45 16.22 8.12 22.482 15.59-16607.00 24.09-17464.23 8.33 8.45 16.19 8.12 22.531 15.56-16609.95 24.06-17468.55 8.33 8.44 16.15 8.12 22.581 15.59-16611.67 24.06-17469.18 8.36 8.45 16.22 8.13 22.631 15.71-16614.62 24.16-17471.01 8.35 8.53 16.26 8.14 22.681 15.73-16617.01 24.22-17473.47 8.36 8.60 16.32 8.14 22.731 15.74-16620.49 24.25-17475.54 8.38 8.60 16.32 8.15 22.781 15.81-16623.35 24.30-17479.32 8.38 8.63 16.39 8.16 22.831 15.81-16625.08 24.27-17482.32 8.38 8.62 16.35 8.16 22.881 15.72-16629.22 24.21-17484.59 8.40 8.57 16.30 8.17 22.931 15.70-16630.83 24.20-17485.58 8.38 8.51 16.28 8.18 22.981 15.64-16632.14 24.12-17488.25 8.39 8.48 16.24 8.18 23.031 15.62-16635.86 24.12-17489.43 8.39 8.53 16.21 8.18 23.081 15.66-16637.43 24.15-17491.08 8.39 8.49 16.25 8.19 23.131 15.73-16640.08 24.26-17493.03 8.41 8.58 16.30 8.19 23.181 15.75-16641.90 24.26-17495.40 8.41 8.59 16.37 8.20 23.231 15.86-16643.76 24.32-17497.62 8.42 8.63 16.37 8.20 23.281 15.85-16647.22 24.33-17500.80 8.43 8.66 16.40 8.21 23.331 15.80-16649.44 24.28-17502.45 8.43 8.65 16.37 8.22 23.381 15.78-16651.43 24.27-17504.38 8.43 8.61 16.36 8.22 23.431 15.76-16653.08 24.26-17505.76 8.43 8.57 16.32 8.23 23.481 15.68-16654.55 24.16-17506.98 8.44 8.55 16.27 8.23 23.531 15.70-16657.40 24.16-17508.15 8.44 8.51 16.26 8.23 23.581 15.74-16658.40 24.24-17511.28 8.43 8.53 16.30 8.23 23.631 15.77-16660.16 24.24-17512.73 8.46 8.58 16.32 8.24 23.681 15.82-16662.82 24.30-17513.69 8.46 8.62 16.37 8.24 23.731 15.86-16664.05 24.36-17515.81 8.45 8.66 16.40 8.25 23.781 15.87-16666.42 24.34-17518.12 8.48 8.69 16.39 8.25 23.831 15.85-16668.78 24.33-17519.85 8.47 8.65 16.41 8.26 23.881 15.85-16670.34 24.34-17521.62 8.47 8.64 16.39 8.26 23.930 15.78-16671.54 24.28-17522.54 8.48 8.62 16.35 8.27 23.980 15.74-16672.75 24.22-17524.47 8.47 8.56 16.32 8.27 24.030 15.76-16674.17 24.24-17526.11 8.48 8.55 16.30 8.27 24.080 15.76-16675.72 24.25-17527.57 8.48 8.58 16.31 8.27 24.130 15.78-16677.35 24.26-17528.56 8.50 8.59 16.35 8.28 24.180 15.88-16678.92 24.38-17531.00 8.49 8.66 16.38 8.28 24.230 15.87-16680.34 24.37-17531.72 8.50 8.67 16.43 8.28 24.280 15.90-16682.90 24.38-17533.56 8.51 8.72 16.43 8.29 24.330 15.91-16684.42 24.39-17535.14 8.50 8.68 16.44 8.29 24.380 15.87-16685.19 24.38-17537.47 8.50 8.67 16.42 8.30 24.430 15.81-16686.88 24.30-17538.44 8.52 8.63 16.38 8.30 24.480 15.82-16688.12 24.29-17539.20 8.50 8.60 16.34 8.30 24.530 15.80-16689.02 24.27-17540.96 8.52 8.60 16.33 8.30 24.580 15.77-16690.63 24.25-17541.74 8.52 8.60 16.33 8.30 24.630 15.83-16691.99 24.32-17542.85 8.52 8.63 16.38 8.31 24.680 15.90-16692.91 24.38-17544.33 8.52 8.69 16.42 8.31 24.730 15.91-16694.43 24.39-17545.98 8.53 8.69 16.45 8.31 24.780 15.93-16695.61 24.42-17547.97 8.53 8.69 16.46 8.32 24.830 15.93-16696.37 24.42-17549.77 8.54 8.71 16.45 8.32 24.880 15.90-16698.51 24.37-17550.66 8.54 8.68 16.41 8.32 24.930 15.87-16699.76 24.35-17551.43 8.54 8.66 16.41 8.33

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24.980 15.85-16700.45 24.35-17551.25 8.54 8.63 16.37 8.33 25.030 15.82-16701.32 24.30-17553.22 8.54 8.60 16.36 8.33 25.080 15.85-16703.21 24.32-17554.24 8.54 8.63 16.36 8.33 25.130 15.87-16703.89 24.36-17556.19 8.54 8.64 16.40 8.33 25.180 15.90-16704.90 24.39-17557.15 8.56 8.70 16.44 8.34 25.230 15.92-16706.31 24.41-17557.78 8.56 8.71 16.46 8.34 25.280 15.96-16706.51 24.45-17558.92 8.56 8.73 16.46 8.34 25.330 15.94-16708.71 24.41-17560.65 8.57 8.74 16.44 8.34 25.379 15.92-16710.20 24.41-17560.75 8.58 8.69 16.45 8.35 25.429 15.91-16710.39 24.40-17562.79 8.56 8.67 16.43 8.35 25.479 15.88-16711.76 24.37-17563.46 8.57 8.65 16.40 8.35 25.529 15.84-16712.51 24.34-17563.28 8.56 8.63 16.38 8.35 25.579 15.88-16713.65 24.35-17564.72 8.56 8.65 16.39 8.35 25.629 15.89-16714.56 24.38-17565.64 8.56 8.66 16.40 8.35 25.679 15.91-16715.96 24.39-17566.52 8.58 8.68 16.44 8.36 25.729 15.97-16716.62 24.45-17567.86 8.58 8.74 16.46 8.36 25.779 15.97-16717.49 24.45-17568.13 8.58 8.73 16.49 8.36 25.829 15.97-16718.64 24.45-17569.81 8.59 8.74 16.48 8.36 25.879 15.94-16720.14 24.43-17570.89 8.58 8.70 16.47 8.37 25.929 15.94-16720.47 24.44-17571.81 8.57 8.70 16.43 8.37 25.979 15.89-16721.39 24.39-17572.57 8.59 8.68 16.43 8.37 26.029 15.89-16722.13 24.37-17573.14 8.58 8.66 16.40 8.37 26.079 15.89-16722.31 24.38-17573.63 8.58 8.66 16.40 8.37 26.129 15.91-16723.72 24.39-17574.33 8.58 8.68 16.42 8.37 26.179 15.93-16724.58 24.41-17575.04 8.59 8.70 16.46 8.38 26.229 15.99-16725.54 24.48-17576.41 8.59 8.75 16.48 8.38 26.279 15.98-16726.03 24.46-17577.18 8.60 8.74 16.49 8.38 26.329 15.99-16727.22 24.47-17578.46 8.60 8.74 16.49 8.38 26.379 15.98-16727.95 24.48-17579.94 8.60 8.73 16.47 8.39 26.429 15.95-16728.29 24.42-17580.05 8.60 8.72 16.45 8.39 26.479 15.92-16729.56 24.40-17580.35 8.60 8.71 16.44 8.39 26.529 15.92-16730.04 24.40-17580.64 8.59 8.68 16.41 8.39 26.579 15.91-16730.41 24.40-17581.34 8.60 8.67 16.44 8.39 26.629 15.93-16731.09 24.40-17582.84 8.60 8.70 16.44 8.39 26.679 15.95-16732.15 24.45-17583.81 8.60 8.72 16.46 8.39 26.729 15.98-16732.76 24.48-17584.21 8.61 8.75 16.48 8.39 26.778 15.99-16733.48 24.48-17585.97 8.62 8.76 16.49 8.40 26.828 16.00-16733.97 24.49-17585.65 8.61 8.76 16.49 8.40 26.878 16.01-16734.36 24.48-17586.67 8.62 8.75 16.48 8.40 26.928 15.96-16736.21 24.44-17586.83 8.62 8.72 16.47 8.40 26.978 15.96-16736.32 24.45-17587.68 8.61 8.71 16.45 8.40 27.028 15.94-16736.86 24.43-17588.25 8.61 8.70 16.44 8.40 27.078 15.93-16737.20 24.40-17589.05 8.61 8.69 16.44 8.41 27.128 15.95-16738.09 24.43-17589.76 8.62 8.72 16.45 8.41 27.178 15.97-16738.82 24.46-17590.57 8.61 8.72 16.46 8.41 27.228 15.98-16739.19 24.47-17590.79 8.63 8.75 16.50 8.41 27.278 16.01-16740.06 24.50-17591.96 8.63 8.77 16.51 8.41 27.328 16.01-16740.59 24.48-17592.11 8.63 8.77 16.50 8.41 27.378 15.99-16741.05 24.49-17593.14 8.63 8.76 16.51 8.42 27.428 15.97-16741.86 24.47-17594.36 8.63 8.72 16.48 8.42 27.478 15.99-16742.27 24.46-17594.93 8.62 8.71 16.46 8.42 27.528 15.95-16742.45 24.42-17595.35 8.63 8.71 16.46 8.42 27.578 15.95-16743.23 24.43-17595.58 8.63 8.71 16.44 8.42 27.628 15.96-16743.91 24.46-17595.90 8.63 8.72 16.46 8.42 27.678 15.99-16744.51 24.46-17596.72 8.63 8.74 16.48 8.42 27.728 15.99-16745.03 24.48-17597.17 8.64 8.76 16.51 8.42 27.778 16.03-16745.57 24.52-17597.44 8.63 8.78 16.51 8.42 27.828 16.01-16746.33 24.50-17599.02 8.64 8.77 16.52 8.43 27.878 16.01-16746.81 24.49-17599.55 8.64 8.76 16.50 8.43 27.928 15.99-16747.23 24.48-17600.39 8.64 8.75 16.50 8.43 27.978 15.98-16747.75 24.47-17600.65 8.64 8.74 16.48 8.43 28.028 15.96-16747.75 24.44-17600.89 8.64 8.73 16.47 8.43 28.078 15.98-16748.80 24.46-17601.25 8.64 8.72 16.46 8.43 28.128 15.98-16748.90 24.47-17601.74 8.64 8.72 16.48 8.43 28.178 15.99-16749.67 24.49-17602.58 8.64 8.74 16.49 8.43

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28.227 15.99-16750.46 24.50-17603.44 8.64 8.75 16.50 8.43 28.277 16.04-16750.97 24.52-17603.71 8.65 8.79 16.51 8.43 28.327 16.02-16751.28 24.50-17604.63 8.65 8.78 16.52 8.44 28.377 16.02-16751.86 24.50-17604.40 8.65 8.77 16.51 8.44 28.427 16.01-16752.37 24.50-17605.33 8.65 8.77 16.50 8.44 28.477 15.98-16752.47 24.47-17605.85 8.65 8.75 16.49 8.44 28.527 15.99-16753.22 24.47-17606.03 8.65 8.74 16.48 8.44 28.577 15.98-16753.88 24.47-17606.66 8.64 8.73 16.49 8.44 28.627 15.99-16753.78 24.47-17607.00 8.65 8.73 16.48 8.44 28.677 16.00-16754.72 24.48-17607.28 8.65 8.74 16.49 8.44 28.727 16.03-16755.42 24.51-17608.55 8.65 8.77 16.51 8.44 28.777 16.03-16755.83 24.50-17608.16 8.66 8.78 16.51 8.44 28.827 16.02-16756.37 24.53-17608.95 8.67 8.79 16.53 8.44 28.877 16.03-16756.69 24.52-17609.33 8.66 8.78 16.52 8.45 28.927 16.02-16757.25 24.51-17609.51 8.66 8.77 16.51 8.45 28.977 15.99-16758.13 24.48-17609.86 8.66 8.75 16.51 8.45 29.027 16.00-16758.07 24.49-17610.34 8.66 8.75 16.49 8.45 29.077 16.00-16758.11 24.48-17610.67 8.66 8.73 16.48 8.45 29.127 15.99-16759.02 24.47-17611.49 8.65 8.75 16.48 8.45 29.177 16.01-16759.63 24.50-17611.09 8.66 8.76 16.51 8.45 29.227 16.03-16760.43 24.51-17612.02 8.66 8.77 16.52 8.45 29.277 16.02-16760.63 24.52-17612.42 8.67 8.79 16.53 8.45 29.327 16.05-16761.13 24.54-17612.79 8.67 8.79 16.53 8.45 29.377 16.04-16761.61 24.53-17613.66 8.67 8.78 16.53 8.45 29.427 16.02-16761.80 24.51-17613.77 8.67 8.78 16.51 8.45 29.477 16.02-16762.34 24.51-17614.24 8.67 8.75 16.50 8.46 29.527 16.01-16762.86 24.50-17614.17 8.67 8.76 16.49 8.46 29.577 15.99-16763.00 24.47-17614.01 8.67 8.75 16.48 8.46 29.626 16.01-16763.65 24.50-17614.40 8.67 8.77 16.50 8.46 29.676 16.02-16764.12 24.51-17614.93 8.67 8.75 16.51 8.46 29.726 16.03-16764.53 24.52-17615.74 8.67 8.78 16.52 8.46 29.776 16.04-16765.12 24.53-17616.20 8.67 8.79 16.54 8.46 29.826 16.06-16765.34 24.54-17616.13 8.67 8.81 16.54 8.46 29.876 16.02-16766.07 24.52-17616.57 8.68 8.79 16.53 8.46 29.926 16.03-16766.34 24.52-17616.46 8.68 8.79 16.52 8.46 29.976 16.03-16766.79 24.52-17616.90 8.67 8.77 16.51 8.46

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Max/Min Summary SUMMARY OF MAXIMUM AND MINIMUM HEADS: POSITION NO. MAXIMUM MINIMUM Frac. Time (ft) (ft) reverse grad. AV-H 29.38 -8.95 0.058 AV-L 37.14 -0.83 0.006 BV-10 59.55 -5.46 0.292 BV-4 60.36 -5.90 0.318 BV-5 60.67 -5.92 0.323 J-1 59.40 -5.59 0.298 J-10 27.59 23.09 0.000 J-11 28.30 23.53 0.000 J-12 28.50 23.43 0.000 J-13 60.89 -6.02 0.324 J-14 61.19 -6.02 0.326 J-15 59.58 -33.21 0.544 J-16 51.61 -1.36 0.038 J-17 40.71 -3.99 0.047 J-18 61.57 6.51 0.000 J-19 49.59 4.23 0.000 J-2 73.74 9.22 0.000 J-20 73.65 18.30 0.000 J-21 74.05 9.18 0.000 J-22 74.05 9.17 0.000 J-3 81.52 25.90 0.000 J-31 36.72 -0.63 0.005 J-4 59.71 -5.61 0.305 J-41 64.56 28.81 0.000 J-5 59.55 -5.39 0.293 J-6 51.69 -1.71 0.058 J-7 28.99 -8.76 0.056 J-8 28.24 18.80 0.000 J-9 27.74 21.69 0.000 Pump-1 60.99 -6.33 0.327 Pump-2 61.29 -6.35 0.332 Pump-3 59.55 -7.85 1.000 AV-H 29.81 -8.64 0.057 AV-L 37.61 -0.49 0.003 BV-10 83.51 -33.21 0.617 (Closed Butterfly valve) BV-4 60.81 -5.72 0.320 BV-5 61.12 -5.74 0.323 CT-1 2.34 -2.20 0.834 CT-2 1.97 -1.20 0.752 CT-3 1.77 -0.50 0.652 CT-4 1.68 -0.21 0.553 CT-5 1.62 -0.14 0.471 # -5.38 -5.38 1.000 # -5.21 -5.21 1.000 # -7.00 -7.00 1.000 # 0.00 0.00 0.000 # 0.00 0.00 0.000 # 0.00 0.00 0.000 # 0.00 0.00 0.000 # 0.00 0.00 0.000 *** END OF THIS SIMULATION ***

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11 TWO PUMPS CONTROLLED SHUTDOWN

The Circulating Water Pumps have non-reverse ratchets. SURGE2000 cannot simulate pump trip and stop pump rotation at speed zero, see Attachment AM1. Input table: pump speed versus time was selected to follow pump trip pressure drop, estimating the time when pump speed should be zero, see Figure 4.

Speed deceleration is selected to calculate slightly smaller pressure at the pump and condenser outlets.

Estimated pump speed: Trip to zero speed

00.20.40.60.8

11.2

0 2 4 6 8 10 12

Time (s)

Pum

p sp

eed

ratio

(-)

Time

(s) Pump Speed

Ratio (-) 0 1 2 1

2.3 0.7 3.6 0.4 5 0.2 7 0

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Figure 8. Two Pumps Controlled Shutdown Comparison to Two Pumps Trip

2 TWO PUMPS TRIP

Pump file ID 5

0 5 10 15 20 25 30-3.0E+4

-2.0E+4

-1.0E+4

0

1.0E+4

2.0E+4

3.0E+4

4.0E+4

5.0E+4

6.0E+4

7.0E+4

Flow

J-31 Pump-1

Two pumps trip Pump file ID 5

(Specific speed 4409)

0 5 10 15 20 25 30-4.0E+4

-2.0E+4

0

2.0E+4

4.0E+4

6.0E+4

Flow

J-31 Pump-1

Two pumps controlled shutdown

No Air Valves (No protecting devices)

Pump file ID 5

Pump Pump

Total flow

Total flow

(gpm) (gpm)

Time (Seconds) Time (Seconds)

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0 5 10 15 20 25 30-10

0

10

20

30

40

50

60

70

Hea

d

AV-H J-16 Pump-1

Two pumps trip Pump file ID 5 (Specific speed 4409)

Condenser inlet

Condenser outlet

Pump

0 5 10 15 20 25 30 35-10

-5

0

5

10

15

20

25

30

Pres

sure

AV-H J-16 Pump-2

Two pumps controlled shutdown

Pump file ID 5 (Specific speed 4409)

Condenser inlet

Condenser outlet

Pump

Time (Seconds) Time (Seconds)

(gpm) (gpm)

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12 PUMP STARTUP 12.1 Air Release Orifice 0.9/1,25 in

The Circulating Water Pumps, when started, compress and vent the air between athe pump and the butterfly valve, to the atmosphere through the 2 in pipe with the outlet orifice 1.25 in. The butterfly valve opening time is 60 sec and starts opening when all air is vent d. The system is designed for pd = 100 psi = 231 ft of H2O pressure. Pump head at zero flow is H = 128 ft. Pressure surges should not exceed

2 ft 110)5.254261(128231 =−+−=∆+−=∆ zHpp d

The wave reflected at the closed butterfly valve will double the pressure amplitude. Maximum pressure in the orifice should not be more than ∆H= 55 ft. If the flow is stopped completely when the air is completely vented through the orifice (water velocity through the orifice is neglected to the sonic velocity of air outflow of 1120 ft/s) the basic equation of waterhammer describe a change in velocity as

ft/s 48.01143676

26.32=

∆±=∆±=∆±=∆≈

HHHagVV

and water flow in the D = 35 in pipe filling the system

/sft 2.34

32

===πDVVAQ

From corresponding critical airflow out Q is (p > pcritical = p0/0.53)

RTpACQ outout ρ

686.0=

where Cout = valve discharge coefficient (= 1) Aout = area of valve orifice R = gas constant ρ = mass density of air Orifice should have size

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==out

out pCRTQA

686.0ρ 0.70 in2

and diameter 0.94 in. Force of pressure difference pin – pout ≈ 93 psi on the closed 35 in inside diameter butterfly valve

( ) lbf 960004

2

≈−= outin ppdF π

This pressure force is oscillating with the high frequency and the mean value of 42000 lbf. The force is unbalanced since the pressure amplitude at the pump is very small and time delayed. Frequency of this quickly decaying force could be 30 Hz if there is no air in water. Residual air reduces the frequency and decreases the amplitude. SURGE2000 cannot calculate more accurately the pump startup and air outflow through the 1.25 orifice. The results are shown in Figure % and Table ? and ? Pump speed is 0 at 1 sec and full speed at 3 sec. Initial volume at the orifice is 30 ft3. This volume expands to the atmospheric pressure; than pump start, compress it to the zero flow pump head. This head is smaller (102.21 ft) then the real pump head 128 ft since program SURGE2000 use the internal four quadrant characteristics to calculate transients. Manufacturer did not supply the pump four quadrant data. The calculated pressures should be transferred for this difference 128 – 102 = 26 ft = 11.3 psi Maximum pressures at the butterfly vale of 67.7 + 11.3 = 79 psi is less than the maximum design pressure for the pipes of 100 psi. Pressure difference of pump zero flow head (128 ft) and SURGE2000 pump calculated head (102 ft) make difference in air density, further increasing air outflow and pressure surges. Table 5. Pressure at pump, Orifice and butterfly valve AIR-1 BV-4 Pump-1 (psi) (psi) (psi) Avg 35.9 35.9 35.9 Min -2.9 -2.9 -1.7 Max 54.6 67.7 41.3

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Figure 9. Pump Startup. Air Outflow Orifice 1.25 in

0 2 4 6 8 10 12 14 16 18 20-20

0

20

40

60

80

100

120

140

160

Hea

d

AIR-6 BV-4 Pump-1

0 2 4 6 8 10 12 14 16 18 20-10

0

10

20

30

40

50

60

70

Pres

sure

AIR-6 BV-4 Pump-1

Butterfly Valve

Orifice

Pump

Same as previous Chart

(ft of liquid) (psig)

Time (Seconds) Time (Seconds)

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Figure 10. Pump Startup. Air Outflow Orifice 1.25 in

0 2 4 6 8 10 12 14 16 18 20-6.0E+4

-4.0E+4

-2.0E+4

0

2.0E+4

4.0E+4

6.0E+4

Flow

AIR-6 BV-4 Pump-1

Volume of air flowing out through the orifice

Pump

Butterfly Valve

Butterfly Valve

(ft3) (gpm)

Time (Seconds)Time (Seconds)

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Table 6. Results and Input Data Tables in Computer Memory for Pump Startup ****** SURGE PROGRAM - VERSION 6.0 ****** Copyrighted by Dr. Don J. Wood Dr. James E. Funk Dr. Srini Lingireddy Lexington, KY, USA July 2001 DATE = 09/20/01 - TIME = 14:01:58 INPUT DATA FILE NAME = C:\STAN\S&W\NEWSUR~1\ReprtFin\PStart\StOr125.DAT OUTPUT DATA FILE NAME = C:\STAN\S&W\NEWSUR~1\ReprtFin\PStart\StOr125.OUT THE FOLLOWING DEFAULT OVERRIDES HAVE BEEN DEFINED: LIQUID SPECIFIC GRAVITY = 1.00000000 TIME INCREMENT FACTOR = 1 FLOW CONVERSION FACTOR = 448.859985 HEAD CONVERSION FACTOR = 1.00000000 START RUN AT TIME 14:01:58 TOTAL SIMULATION TIME = 20.0 sec : TIME INCREMENT = 0.00050 sec ENGLISH UNITS ARE SPECIFIED: FLOW in cubic feet/second & HEAD in feet **** SUMMARY OF PIPE SYSTEM DATA **** NUMBERS OF SPECIFIC ELEMENTS LINE SEGMENTS = 37 COMPONENTS = 13 JUNCTIONS = 20 BYPASS LINES = 0 SIDE ORIFICES = 4 RELIEF VALVES = 0 CHECK VALVES = 0 VARIABLE INPUTS = 6

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LINE SEGMENT DATA POSITION TRAVEL C/GA INITIAL SEGMENT OF ENDS INCREMENTS FLOWRATE RESISTANCE ------------------------------------------------------------------------ J-4 J-21 7 17.10 0.000 0.00 J-31 J-41 18 6.75 0.000 0.00 #J-21 J-2 6 6.75 0.000 0.00 AIR-2 BV-5 3 17.10 0.000 0.00 AIR-5 BV-10 3 17.10 0.000 0.00 J-3 J-20 7 12.03 -0.001 0.00 #J-41 J-8 209 6.75 0.000 0.00 AV-L #J-31 7 12.03 -0.001 0.00 J-10 J-11 36 6.75 0.005 0.00 #J-10 CT-3 29 24.02 0.000 0.00 #J-11 J-12 36 6.75 0.004 0.00 J-9 #J-10 36 6.75 0.004 0.00 #J-11 CT-4 29 24.02 0.000 0.00 J-22 #J-21 6 6.75 0.000 0.00 #J-12 CT-5 29 24.02 0.004 0.00 AIR-6 Pump-1 4 17.10 0.000 0.00 AIR-4 #J-22 7 17.10 0.000 0.00 BV-4 J-1 8 17.10 0.000 0.00 BV-5 #J-4 8 17.10 0.000 0.00 BV-10 #AIR-4 8 17.10 0.000 0.00 J-6 J-16 9 12.03 0.001 0.00 J-7 #J-31 5 6.75 0.001 0.00 #J-9 CT-2 29 24.02 -0.001 0.00 #AIR-2 Pump-2 4 17.10 0.000 0.00 #AIR-5 Pump-3 4 17.10 0.000 0.00 J-17 AV-H 20 15.52 0.001 0.00 #J-16 #J-17 20 15.52 0.001 0.00 J-19 AV-L 20 15.52 -0.001 0.00 AV-H #J-7 7 12.03 0.001 0.00 J-18 #J-19 20 15.52 -0.001 0.00 #J-20 #J-18 7 12.03 -0.001 0.00 #J-8 #J-9 36 6.75 0.003 0.00 #J-8 CT-1 29 24.02 -0.003 0.00 #AIR-6 BV-4 3 17.10 0.000 0.00 #J-2 #J-3 125 6.75 0.000 0.00 #J-1 #J-2 7 17.10 0.000 0.00 #J-3 #J-6 16 12.03 0.001 0.00

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COMPONENT DATA COMPONENT CHARACTERISTICS AND INITIAL CONDITIONS POS. POS. - CHARACTERISTICS - INITIAL HEAD HEAD #1 #2 (A) (B) (C) FLOW #1 #2 -------------------------------------------------------------------------------- AV-H AV-H 0.00 0.00 0.00 0.00 19.40 19.40 AV-L AV-L 0.00 0.00 0.00 0.00 27.70 27.70 BV-10 BV-10 0.00 0.00 0.00 0.00 21.50 21.50 BV-4 BV-4 0.00 0.00 0.00 0.00 95.21 21.50 BV-5 BV-5 0.00 0.00 0.00 0.00 21.50 21.50 CT-1 # 0.00 0.00 0.00 0.00 0.00 0.00 CT-2 # 0.00 0.00 0.00 0.00 0.00 0.00 CT-3 # 0.00 0.00 0.00 0.00 0.00 0.00 CT-4 # 0.00 0.00 0.00 0.00 0.00 0.00 CT-5 # 0.00 0.00 0.00 0.00 0.00 0.00 # Pump-1 102.21 -0.14 0.00 0.00 -7.00 95.21 # Pump-2 102.21 -0.14 0.00 0.00 -7.00 21.50 # Pump-3 102.21 -0.14 0.00 0.00 -7.00 21.50 JUNCTION DATA JUNCTION NUMBER INITIAL INITIAL CONNECTING LOCATION OF LEGS HEAD DEMAND POSITIONS ---------------------------------------------------- J-1 2 21.50 231 J-10 3 25.00 206 208 J-11 3 25.00 207 209 J-12 2 25.00 211 J-16 2 19.40 219 J-17 2 19.40 220 J-18 2 27.70 224 J-19 2 27.70 222 J-2 3 36.00 229 232 J-20 2 39.70 223 J-21 3 36.00 203 210 J-22 2 36.00 212 J-3 3 47.50 230 233 J-31 3 27.70 205 215 J-4 2 21.50 213 J-41 2 57.50 204 J-6 2 19.40 234 J-7 2 19.40 221 J-8 3 25.00 225 227 J-9 3 25.00 216 226

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SIDE DISCHARGE ORIFICE DATA POS. POS. EXT. RESISTANCES* LINE INITIAL - SURGE TANK DATA - #1 #2 POS. OUT IN HEAD FLOW (diam. depth volume) AIR-2 #AIR-2 38 -2.00 -2.00 21.50 0.00 - air relief valve * AIR-4 #AIR-4 39 -1.00 -6.00 21.50 0.00 - air relief valve * AIR-5 #AIR-5 40 0.00 0.00 21.50 0.00 - air relief valve * NOTE: This ARV is initially open: Air Volume = 30.00 - Head = 95.21 AIR-6 #AIR-6 41 -1.25 -1.25 95.21 0.00 - air relief valve * * - For air relief valve use effective areas (not resistances) VARIABLE INPUT DATA INPUT # 1 : PUMP START UP OR SHUT DOWN IS SPECIFIED AT POSITION NO. # REFERENCE VALUES FOR PUMP COEFFICIENTS (N/NR (R)=1): A = 102.21 B = -0.14 C = 0.00 TIME - RATIO INPUT DATA TIME RATIO 0.000 0.00 NOTE: YOUR VARIABLE INPUT DATA PRODUCES A STEP CHANGE AT T=0 AT POS. NO. # - YOU SHOULD VERIFY YOUR INPUT REFERENCE VALUE(S) 1.000 0.00 3.000 1.00 THE FOLLOWING INITIAL VALUE IS CALCULATED FOR THIS VARIABLE INPUT: ... These should agree with initial values previously input (in parenthesis) THE INITIAL VALUES FOR PUMP COEFF. - A = 0.00 ( 102.21) B = 0.00 ( -0.14) INPUT # 2 : PUMP START UP OR SHUT DOWN IS SPECIFIED AT POSITION NO. # REFERENCE VALUES FOR PUMP COEFFICIENTS (N/NR (R)=1): A = 102.21 B = -0.14 C = 0.00 TIME - RATIO INPUT DATA TIME RATIO 0.000 1.00 2.000 1.00 2.300 0.70 3.600 0.40 5.500 0.20 7.000 0.00 THE FOLLOWING INITIAL VALUE IS CALCULATED FOR THIS VARIABLE INPUT: ... These should agree with initial values previously input (in parenthesis) THE INITIAL VALUES FOR PUMP COEFF. - A = 102.21 ( 102.21) B = -0.14 ( -0.14) INPUT # 3 : PUMP START UP OR SHUT DOWN IS SPECIFIED AT POSITION NO. # REFERENCE VALUES FOR PUMP COEFFICIENTS (N/NR (R)=1): A = 102.21 B = -0.14 C = 0.00

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TIME - RATIO INPUT DATA TIME RATIO 0.000 0.00 NOTE: YOUR VARIABLE INPUT DATA PRODUCES A STEP CHANGE AT T=0 AT POS. NO. # - YOU SHOULD VERIFY YOUR INPUT REFERENCE VALUE(S) 100.000 0.00 THE FOLLOWING INITIAL VALUE IS CALCULATED FOR THIS VARIABLE INPUT: ... These should agree with initial values previously input (in parenthesis) THE INITIAL VALUES FOR PUMP COEFF. - A = 0.00 ( 102.21) B = 0.00 ( -0.14) INPUT # 4 : A BUTTERFLY VALVE AT POSITION BV-10 THIS VALVE OPERATES FROM 0.00 % AT T= 0.00 TO 0.00 % AT T= 20.00 seconds THE REFERENCE RESISTANCE (WIDE OPEN) = 0.00010 LINEAR STEM OPERATION IS SPECIFIED WITH THE FOLLOWING AREA RATIOS: -------------------- TIME RATIO -------------------- 0.0000 0.0000 2.0000 0.0000 4.0000 0.0000 6.0000 0.0000 8.0000 0.0000 10.0000 0.0000 12.0000 0.0000 14.0000 0.0000 16.0000 0.0000 18.0000 0.0000 20.0000 0.0000 INPUT # 5 : A BUTTERFLY VALVE AT POSITION BV-4 THIS VALVE OPERATES FROM 0.00 % AT T= 0.00 TO 0.00 % AT T= 20.00 seconds THE REFERENCE RESISTANCE (WIDE OPEN) = 0.00010 LINEAR STEM OPERATION IS SPECIFIED WITH THE FOLLOWING AREA RATIOS: -------------------- TIME RATIO -------------------- 0.0000 0.0000 2.0000 0.0000 4.0000 0.0000 6.0000 0.0000 8.0000 0.0000 10.0000 0.0000 12.0000 0.0000 14.0000 0.0000 16.0000 0.0000 18.0000 0.0000 20.0000 0.0000 INPUT # 6 : A BUTTERFLY VALVE AT POSITION BV-5 THIS VALVE OPERATES FROM 0.00 % AT T= 0.00 TO 0.00 % AT T= 20.00 seconds THE REFERENCE RESISTANCE (WIDE OPEN) = 0.00010 LINEAR STEM OPERATION IS SPECIFIED WITH THE FOLLOWING AREA RATIOS:

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-------------------- TIME RATIO -------------------- 0.0000 0.0000 2.0000 0.0000 4.0000 0.0000 6.0000 0.0000 8.0000 0.0000 10.0000 0.0000 12.0000 0.0000 14.0000 0.0000 16.0000 0.0000 18.0000 0.0000 20.0000 0.0000

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**** SUMMARY OF INITIAL CONDITIONS FOR LINE SEGMENTS **** END POSITION DESIGNATIONS :J - JUNCTION, C - COMPONENT, S - SDO * - THIS DENOTES AN UNDESIGNATED END POSITION (UNACCEPTABLE) - CORRECT DATA END POSITIONS FLOW HEAD HEAD ELEVATION #1 #2 1 to 2 #1 #2 LOSS DIFFERENCE ------------------------------------------------------------------------------ J-4 J J-21 J 0.00 21.5 36.0 0.0 -14.5 J-31 J J-41 J 0.00 27.7 57.5 0.0 -29.8 #J-21 J J-2 J 0.00 36.0 36.0 0.0 0.0 AIR-2 S BV-5 C 0.00 21.5 21.5 0.0 0.0 AIR-5 S BV-10 C 0.00 21.5 21.5 0.0 0.0 J-3 J J-20 J 0.00 47.5 39.7 0.0 7.8 #J-41 J J-8 J 0.00 57.5 25.0 0.0 32.5 AV-L C #J-31 J 0.00 27.7 27.7 0.0 0.0 J-10 J J-11 J 0.00 25.0 25.0 0.0 0.0 #J-10 J CT-3 C 0.00 25.0 0.0 0.0 25.0 #J-11 J J-12 J 0.00 25.0 25.0 0.0 0.0 J-9 J #J-10 J 0.00 25.0 25.0 0.0 0.0 #J-11 J CT-4 C 0.00 25.0 0.0 0.0 25.0 J-22 J #J-21 J 0.00 36.0 36.0 0.0 0.0 #J-12 J CT-5 C 0.00 25.0 0.0 0.0 25.0 AIR-6 S Pump-1 C 0.00 95.2 95.2 0.0 0.0 AIR-4 S #J-22 J 0.00 21.5 36.0 0.0 -14.5 BV-4 C J-1 J 0.00 21.5 21.5 0.0 0.0 BV-5 C #J-4 J 0.00 21.5 21.5 0.0 0.0 BV-10 C #AIR-4 S 0.00 21.5 21.5 0.0 0.0 J-6 J J-16 J 0.00 19.4 19.4 0.0 0.0 J-7 J #J-31 J 0.00 19.4 27.7 0.0 -8.3 #J-9 J CT-2 C 0.00 25.0 0.0 0.0 25.0 #AIR-2 S Pump-2 C 0.00 21.5 21.5 0.0 0.0 #AIR-5 S Pump-3 C 0.00 21.5 21.5 0.0 0.0 J-17 J AV-H C 0.00 19.4 19.4 0.0 0.0 #J-16 J #J-17 J 0.00 19.4 19.4 0.0 0.0 J-19 J AV-L C 0.00 27.7 27.7 0.0 0.0 AV-H C #J-7 J 0.00 19.4 19.4 0.0 0.0 J-18 J #J-19 J 0.00 27.7 27.7 0.0 0.0 #J-20 J #J-18 J 0.00 39.7 27.7 0.0 12.0 #J-8 J #J-9 J 0.00 25.0 25.0 0.0 0.0 #J-8 J CT-1 C 0.00 25.0 0.0 0.0 25.0 #AIR-6 S BV-4 C 0.00 95.2 95.2 0.0 0.0 #J-2 J #J-3 J 0.00 36.0 47.5 0.0 -11.5 #J-1 J #J-2 J 0.00 21.5 36.0 0.0 -14.5 #J-3 J #J-6 J 0.00 47.5 19.4 0.0 28.1 ================================================================================

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Max/Min Summary SUMMARY OF MAXIMUM AND MINIMUM HEADS: POSITION NO. MAXIMUM MINIMUM Frac. Time (ft) (ft) reverse grad. AIR-2 167.58 -6.75 0.791 AIR-4 21.50 21.50 0.000 AIR-5 42.55 -33.21 0.624 AIR-6 156.45 -6.58 0.062 AV-H 19.40 19.40 0.000 AV-L 27.70 27.70 0.000 BV-10 21.50 21.50 0.000 BV-4 21.50 21.50 0.000 BV-5 21.50 21.50 0.000 J-1 21.50 21.50 0.000 J-10 25.00 25.00 0.000 J-11 25.00 25.00 0.000 J-12 25.00 25.00 0.000 J-16 19.40 19.40 0.000 J-17 19.40 19.40 0.000 J-18 27.70 27.70 0.000 J-19 27.70 27.70 0.000 J-2 36.00 36.00 0.000 J-20 39.70 39.70 0.000 J-21 36.00 36.00 0.000 J-22 36.00 36.00 0.000 J-3 47.50 47.50 0.000 J-31 27.70 27.70 0.000 J-4 21.50 21.50 0.000 J-41 57.50 57.50 0.000 J-6 19.40 19.40 0.000 J-7 19.40 19.40 0.000 J-8 25.00 25.00 0.000 J-9 25.00 25.00 0.000 Pump-1 95.21 -6.84 0.053 Pump-2 94.88 -6.71 0.755 Pump-3 21.50 -7.08 1.000 AV-H 19.40 19.40 0.000 AV-L 27.70 27.70 0.000 BV-10 68.17 -33.21 0.551 BV-4 156.46 -6.73 0.061 BV-5 167.58 -11.79 0.769 CT-1 0.00 0.00 1.000 CT-2 0.00 0.00 1.000 CT-3 0.00 0.00 1.000 CT-4 0.00 0.00 0.000 CT-5 0.00 0.00 0.000 # -7.00 -7.00 1.000 # -7.00 -7.00 1.000 # -7.00 -7.00 1.000 # 0.00 0.00 0.000 # 0.00 0.00 0.000 # 0.00 0.00 0.000 # 0.00 0.00 0.000 # 0.00 0.00 0.000 *** END OF THIS SIMULATION ***

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* * * * * * * * * * K Y P I P E 4 * * * * * * * * * * * * * University of Kentucky Network Modeling Software * * * * Copyrighted by KPFS 1998 * * Version 1.200 - 01/26/2000 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * Date & Time: Thu Sep 20 14:01:53 2001 INPUT DATA FILENAME -------------- C:\STAN\S&W\NEWSUR~1\ReprtFin\PStart\StOr125.DT2 TABULATED OUTPUT FILENAME -------- C:\STAN\S&W\NEWSUR~1\ReprtFin\PStart\StOr125.OT2 POSTPROCESSOR RESULTS FILENAME --- C:\STAN\S&W\NEWSUR~1\ReprtFin\PStart\StOr125.RS2 ************************************************ S U M M A R Y O F O R I G I N A L D A T A ************************************************

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U N I T S S P E C I F I E D FLOWRATE ............ = gallons/minute HEAD (HGL) .......... = feet PRESSURE ............ = psig P I P E L I N E D A T A STATUS CODE: XX -CLOSED PIPE CV -CHECK VALVE P I P E NODE NAMES LENGTH DIAMETER ROUGHNESS MINOR N A M E #1 #2 (ft) (in) COEFF. LOSS COEFF. ------------------------------------------------------------------------------- P-1 J-4 J-21 13.00 35.00 100.0000 0.00 P-10 J-31 J-41 30.00 53.00 100.0000 1.50 P-11 J-21 J-2 10.00 53.00 100.0000 1.00 P-12 AIR-2 @~BV-5 6.00 35.00 100.0000 0.00 P-13 AIR-5 @~BV-10 6.00 35.00 100.0000 0.00 P-14 J-3 J-20 12.00 41.00 100.0000 0.00 P-15 J-41 J-8 347.00 53.00 100.0000 1.50 P-16 AV-L J-31 13.00 41.00 100.0000 0.40 P-17 J-10 J-11 60.00 53.00 100.0000 0.40 P-18 J-10 @~CT-3 55.00 30.00 100.0000 1.00 P-19 J-11 J-12 60.00 53.00 100.0000 1.50 P-2 J-9 J-10 60.00 53.00 100.0000 0.40 P-20 J-11 @~CT-4 55.00 30.00 100.0000 1.00 P-21 J-22 J-21 10.00 53.00 100.0000 1.50 P-22 J-12 @~CT-5 55.00 30.00 100.0000 1.00 P-23 AIR-6 Pump-1 8.00 35.00 100.0000 0.00 P-24 AIR-4 J-22 13.00 35.00 100.0000 0.00 P-25 BV-4 J-1 15.00 35.00 100.0000 0.50 P-26 BV-5 J-4 15.00 35.00 100.0000 0.50 P-27 BV-10 AIR-4 15.00 35.00 100.0000 0.50 P-28 J-6 J-16 16.00 41.00 100.0000 0.00 P-29 J-7 J-31 8.00 53.00 100.0000 2.00 P-3 J-9 @~CT-2 55.00 30.00 100.0000 1.00 P-30 AIR-2 Pump-2 8.00 35.00 100.0000 0.00 P-31 AIR-5 Pump-3 8.00 35.00 100.0000 0.00 P-32 J-17 @~AV-H 41.00 39.00 100.0000 11.00 P-33 J-16 J-17 41.00 39.00 100.0000 11.00 P-34 J-19 @~AV-L 41.00 39.00 100.0000 11.00 P-35 AV-H J-7 13.00 41.00 100.0000 0.40 P-36 J-18 J-19 41.00 39.00 100.0000 11.00 P-37 J-20 J-18 13.00 41.00 100.0000 0.00 P-4 J-8 J-9 60.00 53.00 100.0000 0.40 P-5 J-8 @~CT-1 55.00 30.00 100.0000 1.00 P-6 AIR-6 @~BV-4 6.00 35.00 100.0000 0.00 P-7 J-2 J-3 208.00 53.00 100.0000 2.10 P-8 J-1 J-2 13.00 35.00 100.0000 0.00 P-9 J-3 J-6 28.00 41.00 100.0000 2.00

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P U M P/L O S S E L E M E N T D A T A THERE IS A DEVICE AT NODE Pump-1 DESCRIBED BY THE' FOLLOWING DATA: (ID= 2) HEAD FLOWRATE EFFICIENCY (ft) (gpm) (%) 102.21 0.00 0.87 95.05 12432.00 0.87 85.28 21756.00 0.87 65.10 31080.00 0.87 31.25 40404.00 0.87 THERE IS A DEVICE AT NODE Pump-2 DESCRIBED BY THE' FOLLOWING DATA: (ID= 3) HEAD FLOWRATE EFFICIENCY (ft) (gpm) (%) 102.21 0.00 0.87 95.05 12432.00 0.87 85.28 21756.00 0.87 65.10 31080.00 0.87 31.25 40404.00 0.87 THERE IS A DEVICE AT NODE Pump-3 DESCRIBED BY THE' FOLLOWING DATA: (ID= 4) HEAD FLOWRATE EFFICIENCY (ft) (gpm) (%) 102.21 0.00 0.87 95.05 12432.00 0.87 85.28 21756.00 0.87 65.10 31080.00 0.87 31.25 40404.00 0.87

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E N D N O D E D A T A NODE NODE EXTERNAL JUNCTION EXTERNAL NAME TITLE DEMAND ELEVATION GRADE (gpm) (ft) (ft) -------------------------------------------------------------- AIR-2 0.00 261.00 AIR-4 0.00 261.00 AIR-5 0.00 261.00 AIR-6 0.00 261.00 AV-H Condenser H 0.00 263.10 AV-L Condenser L 0.00 254.80 BV-10 0.00 261.00 BV-4 0.00 261.00 BV-5 0.00 261.00 J-1 0.00 261.00 J-10 0.00 257.50 J-11 0.00 257.50 J-12 0.00 257.50 J-16 0.00 263.10 J-17 0.00 263.10 J-18 0.00 254.80 J-19 0.00 254.80 J-2 2 0.00 246.50 J-20 0.00 242.80 J-21 0.00 246.50 J-22 0.00 246.50 J-3 3 0.00 235.00 J-31 0.00 254.80 J-4 0.00 261.00 J-41 0.00 225.00 J-6 0.00 263.10 J-7 0.00 263.10 J-8 0.00 257.50 J-9 0.00 257.50 Pump-1 ---- 261.00 254.00 Pump-2 ---- 261.00 254.00 Pump-3 ---- 261.00 254.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

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O U T P U T O P T I O N D A T A OUTPUT SELECTION: ALL RESULTS ARE INCLUDED IN THE TABULATED OUTPUT S Y S T E M C O N F I G U R A T I O N NUMBER OF PIPES ...................(p) = 37 NUMBER OF END NODES ...............(j) = 29 NUMBER OF PRIMARY LOOPS ...........(l) = 1 NUMBER OF SUPPLY NODES ............(f) = 8 NUMBER OF SUPPLY ZONES ............(z) = 1 ================================================================================ *** WARNING *** A PORTION OF THE SYSTEM IS DISCONNECTED FROM A FGN BY CLOSED LINES **** A FIX WILL BE ATTEMPTED THE FOLLOWING JUNCTION NODES ARE DISCONNECTED FROM THE SYSTEM DEMANDS AT THESE JUNCTION NODES ARE SET TO ZERO: AIR-2 AIR-5 Pump-2 Pump-3 @~BV-10 @~BV-5 PIPE NO. ~@BV-10 HAS BEEN OPENED TO REMOVE THE DISCONNECTION *** WARNING *** A PORTION OF THE SYSTEM IS DISCONNECTED FROM A FGN BY CLOSED LINES **** A FIX WILL BE ATTEMPTED THE FOLLOWING JUNCTION NODES ARE DISCONNECTED FROM THE SYSTEM DEMANDS AT THESE JUNCTION NODES ARE SET TO ZERO: AIR-2 Pump-2 @~BV-5 PIPE NO. ~@AIR-5 HAS BEEN OPENED TO REMOVE THE DISCONNECTION *** WARNING *** A PORTION OF THE SYSTEM IS DISCONNECTED FROM A FGN BY CLOSED LINES **** A FIX WILL BE ATTEMPTED THE FOLLOWING JUNCTION NODES ARE DISCONNECTED FROM THE SYSTEM DEMANDS AT THESE JUNCTION NODES ARE SET TO ZERO: AIR-2 Pump-2 @~BV-5 PIPE NO. ~@BV-5 HAS BEEN OPENED TO REMOVE THE DISCONNECTION *** WARNING *** A PORTION OF THE SYSTEM IS DISCONNECTED FROM A FGN BY CLOSED LINES **** A FIX WILL BE ATTEMPTED

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THE FOLLOWING JUNCTION NODES ARE DISCONNECTED FROM THE SYSTEM DEMANDS AT THESE JUNCTION NODES ARE SET TO ZERO: PIPE NO. ~@AIR-2 HAS BEEN OPENED TO REMOVE THE DISCONNECTION *** WARNING *** DUE TO SPECIFIED DEMANDS THE PUMP IN LINE ~@Pump-1 IS FORCED TO OPERATE AT ZERO FLOW. THIS MAY CAUSE PROBLEMS CALCULATING THE HGLs IN THE VICINITY OF THE PUMP. TRY CLOSING LINE ~@Pump-1 AND RERUN THE SIMULATION. Case: 0 RESULTS OBTAINED AFTER 20 TRIALS: ACCURACY = 1.07973 ***WARNING*** THE MAXIMUM NUMBER OF TRIALS WERE EXECUTED ACCURACY WAS NOT ATTAINED - SEE USERS MANUAL S I M U L A T I O N D E S C R I P T I O N (L A B E L)

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P I P E L I N E R E S U L T S STATUS CODE: XX -CLOSED PIPE CV -CHECK VALVE P I P E NODE NUMBERS FLOWRATE HEAD MINOR LINE HL/ N A M E #1 #2 LOSS LOSS VELO. 1000 (gpm) (ft) (ft) (ft/s) (ft/ft) ------------------------------------------------------------------------------- P-1 J-4 J-21 0.00 0.00 0.00 0.00 0.00 P-10 J-31 J-41 0.00 0.00 0.00 0.00 0.00 P-11 J-21 J-2 0.00 0.00 0.00 0.00 0.00 P-12 AIR-2 BV-5 0.00 0.00 0.00 0.00 0.00 P-13 AIR-5 BV-10 0.00 0.00 0.00 0.00 0.00 P-14 J-3 J-20 0.00 0.00 0.00 0.00 0.00 P-15 J-41 J-8 0.00 0.00 0.00 0.00 0.00 P-16 AV-L J-31 0.00 0.00 0.00 0.00 0.00 P-17 J-10 J-11 0.00 0.00 0.00 0.00 0.00 P-18 J-10 CT-3 0.00 0.00 0.00 0.00 0.00 P-19 J-11 J-12 0.00 0.00 0.00 0.00 0.00 P-2 J-9 J-10 0.00 0.00 0.00 0.00 0.00 P-20 J-11 CT-4 0.00 0.00 0.00 0.00 0.00 P-21 J-22 J-21 0.00 0.00 0.00 0.00 0.00 P-22 J-12 CT-5 0.00 0.00 0.00 0.00 0.00 P-23 AIR-6 Pump-1 0.00 0.00 0.00 0.00 0.00 P-24 AIR-4 J-22 0.00 0.00 0.00 0.00 0.00 P-25 BV-4 J-1 0.00 0.00 0.00 0.00 0.00 P-26 BV-5 J-4 0.00 0.00 0.00 0.00 0.00 P-27 BV-10 AIR-4 0.00 0.00 0.00 0.00 0.00 P-28 J-6 J-16 0.00 0.00 0.00 0.00 0.00 P-29 J-7 J-31 0.00 0.00 0.00 0.00 0.00 P-3 J-9 CT-2 0.00 0.00 0.00 0.00 0.00 P-30 AIR-2 Pump-2 0.00 0.00 0.00 0.00 0.00 P-31 AIR-5 Pump-3 0.00 0.00 0.00 0.00 0.00 P-32 J-17 AV-H 0.00 0.00 0.00 0.00 0.00 P-33 J-16 J-17 0.00 0.00 0.00 0.00 0.00 P-34 J-19 AV-L 0.00 0.00 0.00 0.00 0.00 P-35 AV-H J-7 0.00 0.00 0.00 0.00 0.00 P-36 J-18 J-19 0.00 0.00 0.00 0.00 0.00 P-37 J-20 J-18 0.00 0.00 0.00 0.00 0.00 P-4 J-8 J-9 0.00 0.00 0.00 0.00 0.00 P-5 J-8 CT-1 0.00 0.00 0.00 0.00 0.00 P-6 AIR-6 BV-4 0.00 0.00 0.00 0.00 0.00 P-7 J-2 J-3 0.00 0.00 0.00 0.00 0.00 P-8 J-1 J-2 0.00 0.00 0.00 0.00 0.00 P-9 J-3 J-6 0.00 0.00 0.00 0.00 0.00 ~@AIR-2 AIR-2 0.00 0.00 0.00 0.00 0.00 ~@AIR-4 AIR-4 0.00 0.00 0.00 0.00 0.00 ~@AIR-5 AIR-5 0.00 0.00 0.00 0.00 0.00 ~@AIR-6 AIR-6 0.00 0.00 0.00 0.00 0.00 ~@AV-H AV-H AV-H 0.00 0.00 0.00 0.00 0.00 ~@AV-L AV-L AV-L 0.00 0.00 0.00 0.00 0.00 ~@BV-10 BV-10 BV-10 0.00 0.00 0.00 0.00 0.00 ~@BV-4-XX BV-4 BV-4 ~@BV-5-XX BV-5 BV-5 0.00 0.00 0.00 0.00 0.00

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P U M P/L O S S E L E M E N T R E S U L T S INLET OUTLET HEAD EFFIC- USEFUL INCREMTL TOTAL NAME FLOWRATE HEAD HEAD CHANGE ENCY POWER COST COST (gpm) (ft) (ft) (ft) (%) (Hp) ($) ($) ------------------------------------------------------------------------------- Pump-1 0.00 0.00 95.21 102.2 ---- ----- --- ---- Device "Pump-2" is closed Device "Pump-3" is closed E N D N O D E R E S U L T S NODE NODE EXTERNAL HYDRAULIC NODE PRESSURE NODE NAME TITLE DEMAND GRADE ELEVATION HEAD PRESSURE (gpm) (ft) (ft) (ft) (psi) ------------------------------------------------------------------------------ AIR-2 0.00 282.50 261.00 21.50 9.32 AIR-4 0.00 282.50 261.00 21.50 9.32 AIR-5 0.00 282.50 261.00 21.50 9.32 AIR-6 0.00 356.21 261.00 95.21 41.26 AV-H Condenser H 0.00 282.50 263.10 19.40 8.41 AV-L Condenser L 0.00 282.50 254.80 27.70 12.00 BV-10 0.00 282.50 261.00 21.50 9.32 BV-4 0.00 282.50 261.00 21.50 9.32 BV-5 0.00 282.50 261.00 21.50 9.32 J-1 0.00 282.50 261.00 21.50 9.32 J-10 0.00 282.50 257.50 25.00 10.83 J-11 0.00 282.50 257.50 25.00 10.83 J-12 0.00 282.50 257.50 25.00 10.83 J-16 0.00 282.50 263.10 19.40 8.41 J-17 0.00 282.50 263.10 19.40 8.41 J-18 0.00 282.50 254.80 27.70 12.00 J-19 0.00 282.50 254.80 27.70 12.00 J-2 2 0.00 282.50 246.50 36.00 15.60 J-20 0.00 282.50 242.80 39.70 17.20 J-21 0.00 282.50 246.50 36.00 15.60 J-22 0.00 282.50 246.50 36.00 15.60 J-3 3 0.00 282.50 235.00 47.50 20.58 J-31 0.00 282.50 254.80 27.70 12.00 J-4 0.00 282.50 261.00 21.50 9.32 J-41 0.00 282.50 225.00 57.50 24.92 J-6 0.00 282.50 263.10 19.40 8.41 J-7 0.00 282.50 263.10 19.40 8.41 J-8 0.00 282.50 257.50 25.00 10.83 J-9 0.00 282.50 257.50 25.00 10.83 Pump-1 ---- 356.21 261.00 95.21 41.26 Pump-2 ---- 282.50 261.00 21.50 9.32 Pump-3 ---- 282.50 261.00 21.50 9.32 0.00 282.50 0.00 282.50 0.00 282.50 0.00 356.21 AV-H 0.00 282.50 263.10 19.40 8.41 AV-L 0.00 282.50 254.80 27.70 12.00 BV-10 0.00 282.50 261.00 21.50 9.32 BV-4 0.00 356.21 261.00 95.21 41.26 BV-5 0.00 282.50 261.00 21.50 9.32 CT-1 ---- 282.50 282.50 0.00 0.00 CT-2 ---- 282.50 282.50 0.00 0.00 CT-3 ---- 282.50 282.50 0.00 0.00 CT-4 ---- 282.50 282.50 0.00 0.00 CT-5 ---- 282.50 282.50 0.00 0.00

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S U M M A R Y O F I N F L O W S A N D O U T F L O W S (+) INFLOWS INTO THE SYSTEM FROM SUPPLY NODES (-) OUTFLOWS FROM THE SYSTEM INTO SUPPLY NODES NODE FLOWRATE NODE NAME (gpm) TITLE -------------------------------------------- CT-1 0.00 CT-2 0.00 CT-3 0.00 CT-4 0.00 CT-5 0.00 Pump-1 0.00 NET SYSTEM INFLOW = 0.00 NET SYSTEM OUTFLOW = 0.00 NET SYSTEM DEMAND = 0.00 ================================================================================ Case: 1 C H A N G E S F O R N E X T S I M U L A T I O N (Change Number = 0 ) PUMP at node Pump-1 has a new Speed Ratio of 1.000 PUMP at node Pump-2 has a new Speed Ratio of 1.000 PUMP at node Pump-3 has a new Speed Ratio of 1.000

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13 TWO PUMPS TRIP UNBALANCED AXIAL FORCES The SURGE2000 program is used to obtain heads and flow for unbalanced force calculations on straight pipes between two nodes (Number of nodes was increased to separate straight pipe segments, see Fig. ???). Elbow forces are not analyzed in this report 13.1 NOTATION TIME: Time (seconds) FORCE: Force (pounds) For each pipe in the network – Start node number 1 – head H1 (ft) – Flow Q1 (cfs) – Inlet area A1 (ft2) – End node number 2 – head H2 (ft) – Flow Q2 (cfs) – Exit area A2 (ft2) – Density of water ρ = 2205 lbm/ft3 (1000 kg/m3) – Acceleration due to gravity g = 32.17 ft/sec2 (9.81 m/s2) 13.2 Momentum Equation 13.2.1 If there are no obstructions in the fluid, and the effects of body forces are neglected,

the only force acting on the fluid in the straight pipe are (see Fig. 1): the pressure forces acting over the inlet and exit areas A1 , and A2, and the reaction force F exerted by the inner surface of the pipe on the fluid

• Σ(forces) = rate of change of momentum • f1- f2-F = ρQ2(Q2/A2) - ρQ1(Q1/A1) • F = f1- f2 - ρQ2(Q2/A2) + ρQ1(Q1/A1) • F = [f1 + ρQ1(Q1/A1) ] - [f2 + ρQ2(Q2/A2)] • F = [(H1

* A1 * ρg) + ρQ1(Q1/A1) ] - [(H2 * A2 * ρg) + ρQ2(Q2/A2) ]

SUGRE2000 calculates heads (H1 and H2), and flows (Q1 and Q2). Transient forces travels though the steel structure with the wave speed of about 16000 ft/sec (~5000 m/s); time delay and reflected forces are neglected in this analysis.

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13.3 Preprocessor for TRANSIENT FORCES Overview of the results generated by the surge2000 program EXCEL format Create data in EXCEL format EXCEL FORCE Program Create results’ table, maximum value, and minimum value of the force and draw the chart. The resulting unbalanced force on straight pipe is presented in Table. ??? and Figs. ??? Maximum force is force acting from node 1 to node 2 if positive and minimum force is acting from node 2 to node 1 if negative (It is maximum force in opposite direction).

Figure 11 Determination of the forces acting on a straight pipe

F

f2 f1

H1 , A1 , Q1 H2 , A2 , Q2

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Figure 12 Computer scheme for transient forces calculations

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Table 7. Two Pumps Trip Dynamic Forces U N I T S S P E C I F I E D FLOWRATE ............ = gallons/minute HEAD (HGL) .......... = feet PRESSURE ............ = psig FORCE ............... = lbf FORCES STREIGHT NODE NAMES LENGTH DIAMETER MAX MIN PIPE #1 #2 (ft) (in) (lbf) (lbf) -------------------------------------------------------------------------- P-23 Pump-1 J-51 8.00 35.00 -5000 -5500 P-31 Pump-3 J-53 8.00 35.00 -5000 -5400 P-25, P-6 J-1 J-51 15.00+6.00 35.00 710 - 630 P-8 J-1 J-2 13.00 35.00 -6000 -6700 P-24 J-22 J-5 13.00 35.00 6700 6000 P-27,P-13 J-5 J-53 15.00+6.00 35.00 590 630 P-7,P-11,P-21 J-13 J-22 12+10+10 53.00 2200 - 200 P-38 J-13 J-14 24.00 53.00 770 -2200 P-39 J-14 J-15 68.00 53.00 –20000 -6700 P-40 J-15 J-23 77.00 53.00 1050 -6600 P-41,P-9 J-23 J-24 10.00+7.00 53.00 19000 15300 P-41,P-9,p-42 J-23 J-6 10+7+22 53/41 60000 35000 P-28 J-25 J-6 8.00 41.00 170 - 400 P-43 J-16 J-23 5.00 41.00 230 0 P-33 J-16 J-17 41.00 39.00 6200 - 780 P-32 J-17 J-39 41.00 39.00 5800 - 600 P-35 J-39 J-7 13.00 41.00 230 - 340 P-10,p-29 J-41 J-7 30.00+8.00 53.00 38500 35700 P-14 J-20 J-3 12.00 41.00 -3800 -4500 P-37 J-20 J-26 12.00 41.00 6800 6100 P-44 J-18 J-26 5.00 41.00 110 - 290 P-36 J-18 J-19 41.00 39.00 6200 - 780 P-34 J-19 J-40 41.00 39.00 6200 - 780 P-15 J-27 J-41 90.00 53.00 6200 -1100 P-45 J-27 J-28 68.00 53.00 21200 15000 P-46 J-28 J-29 16.00 53.00 670 -1100 P-47 J-29 J-30 50.00 53.00 290 -4200 P-48 J-30 J-32 105.00 53.00 570 -9400 P-49 J-32 J-33 16.00 53.00 11300 9300 P-26 J-4 BV-5 15.00 35.00 80 -80

P-19 J-11 J-12 54.00 53.00 P-17 J-10 J-11 54.00 53.00 P-2 J-9 J-10 54.00 53.00 P-4 J-8 J-9 54.00 53.00 P-50 J-33 J-8 20.00 53.00 J-12 J-33 236.00 53.00 6300 -3300 Including pressure and bend forces: J-12 J-33 236.00 53.00 –16000 -27400

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Table 8. Two Pumps Trip Pipes for Which Dynamic Forces NOT Calculated

P-1 J-4 J-21 13.00 35.00 P-12 J-52 @~BV-5 6.00 35.00 P-16 J-40 J-31 13.00 41.00 P-18 J-10 J-36 22.00 29.00 P-20 J-11 J-37 22.00 29.00 P-22 J-12 J-38 22.00 29.00 P-3 J-9 J-35 22.00 29.00 P-30 Pump-2 J-52 8.00 35.00 P-5 J-8 J-34 22.00 29.00 P-51 J-34 @~CT-1 23.00 29.00 P-52 J-35 @~CT-2 23.00 29.00 P-53 J-36 @~CT-3 23.00 29.00 P-54 J-37 @~CT-4 23.00 29.00 P-55 J-38 @~CT-5 23.00 29.00 Force on pipe P-1 is same as on pipe P-8. Pipes P-12 and P-30 has been separated by the closed butterfly valve. Force on the Pipe 16 is same as on pipe P-35. .Pipes P-3, P-5, P-18, P-20, P-22, P-51, P-52, P-53, P-54 and P-55 are parts of the cooling tower.

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Figure 13. Pump vertical pipe (Pump node downstream of pump runner)

Pump 1 (Nodes J-51 - Pump-1)Vertical force (Pump)

-5500

-5400

-5300

-5200

-5100

-5000

-4900

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -5500 lbf (Pump-1 to J-51)

Max Force = -5000 lbf (Pump-1 to J-51 )

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Figure 14. Pump vertical pipe (Pump node downstream of pump runner)

Pipe J-53 - Pump-3Vertical force (Pump)

-5400

-5350

-5300

-5250

-5200

-5150

-5100

-5050

-5000

-4950

-4900

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -5400 lbf (J-Pump3 to J-53)

Max Force = -5000 (Pump-3 to J-53)

Page 94: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 15. Pump discharge pipe and butterfly valve open

Pipe J-1 - J-51Horizontal force

-800

-600

-400

-200

0

200

400

600

800

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -630 lbf (J-51 to J-1)

Max Force = 710 lbf (J-1 to J-51)

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Figure 16. Connecting pipe to the collector

Pipe J-1 - J-2Vertical force

-6800

-6700

-6600

-6500

-6400

-6300

-6200

-6100

-6000

-5900

-5800

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -6700 lbf (J-2 to J-1)

Max Force = -6000 lbf (J-2 to J-1)

Page 96: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 17. Connecting pipe to the collector

Pipe J-22 - J-5Vertical force

5800

5900

6000

6100

6200

6300

6400

6500

6600

6700

6800

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = 6000 lbf (J-22 to J-5)

Max Force = 6700 (J-22 to J-5)

Page 97: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 18. Pump discharge pipe and butterfly valve open

Pipe J-5 - J-53Horizontal force

-800

-600

-400

-200

0

200

400

600

800

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = 630 lbf (J-53 to J-5)

Max Force = 590 (J-5 to J-53)

Page 98: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 19. Collector pipe

Pipe J-13 - J-22Horizontal force

-500

0

500

1000

1500

2000

2500

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -200 lbf (J-22 to J-13)

Max Force = 2200 lbf (J-13 to J-22)

Page 99: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 20. Pipe to the condenser

Pipe J-13 - J-14Horizontal force

-2500

-2000

-1500

-1000

-500

0

500

1000

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -2200 lbf (J-14 to J-13)

Max Force = 770 lbf (J-13 to J-14)

Page 100: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 21. Inclined pipe to the condenser

Pipe J-14 - J-15Inclined force

-28000

-27000

-26000

-25000

-24000

-23000

-22000

-21000

-20000

-19000

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -6700 lbf (J-15 to J-14)

Max Force = -20000 lbf (J-15to J-14)

Page 101: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 22. Pipe to the condenser

Pipe J-15 - J-23Horizontal force

-7000

-6000

-5000

-4000

-3000

-2000

-1000

0

1000

2000

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -6600 lbf (J-23 to J-15)

Max Force = 1050 lbf (J-15 - J-23)

Page 102: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 23. Vertical branching pipe to the condenser

Pipe J-23 - J-24Vertical force

15000

15500

16000

16500

17000

17500

18000

18500

19000

19500

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = 153000 lbf (J-23 to J-24)

Max Force = 19000 lbf (J-23 to J-24)

Page 103: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 24. Vertical branching pipe to the condenser

Pipe J-23 - J-6Vertical force

30000

35000

40000

45000

50000

55000

60000

65000

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = 35000 lbf (J-23 to J-6)

Max Force = 60000 lbf (J-23 to J-6)

Page 104: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 25. Upper condenser connecting pipe

Pipe J-25 - J-6Horizontal force

-500

-400

-300

-200

-100

0

100

200

300

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -400 lbf (J-6 to J-25)

Max Force = 170 lbf (J-25 to J-6)

Page 105: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 26. Upper connecting pipe

Pipe J-16 - J-25Horizontal force

-50

0

50

100

150

200

250

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1Time (s)

Forc

e (lb

f)

Min Force = -0 lbf (J-25 to J-16)

Max Force = 230 lbf (J-16 to J-25)

Page 106: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 27. Condenser

Condenser Pipe J-16 - J-17Horizontal force

-2000

-1000

0

1000

2000

3000

4000

5000

6000

7000

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -780 lbf (J-25 to J-16)

Max Force = 6200 lbf (J-16 to J-17)

Page 107: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 28. Condenser

Condenser: Pipe J-17 - J-39Horizontal force

-1000

0

1000

2000

3000

4000

5000

6000

7000

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -700 lbf (J-39 to J-17)

Max Force = 5800 lbf (J-17 to J-39)

Page 108: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 29. Upper condenser return pipe

Pipe J-39 - J-7Horizontal force

-400

-300

-200

-100

0

100

200

300

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f) Min Force = -340 lbf (J-7 to J-39)

Max Force = 230 lbf (J-39 to J-7)

Page 109: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 30. Vertical condenser collector pipe

Pipe J-41 - J-7Vertical force

35500

36000

36500

37000

37500

38000

38500

39000

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = 35700 lbf (J-41 to J-7)

Max Force = 38500 lbf (J-41 to J-7)

Page 110: Big Hanaford Combined Cycle Plant Calculation for Cooling

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JO/WO NO. CALCULATION NUMBER 11458.0000 11458-000-01-00-08

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Figure 31. Branching to the lower condenser

Pipe J-20 - J-3Inclined force

-4600

-4500

-4400

-4300

-4200

-4100

-4000

-3900

-3800

-3700

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -4500 lbf (J-3 to J-20)

Max Force = -3800 lbf (J-3 to J-20)

Page 111: Big Hanaford Combined Cycle Plant Calculation for Cooling

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JO/WO NO. CALCULATION NUMBER 11458.0000 11458-000-01-00-08

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Figure 32. Vertical pipe to the lower condenser

Pipe J-20 - J-26Vertical force

6100

6200

6300

6400

6500

6600

6700

6800

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = 6100 lbf (J-20 to J-26)

Max Force = 6800 lbf (J-20 to J-26)

Page 112: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 33. Connecting pipe to the lower condenser

Pipe J-18 - J-26Horizontal force

-350

-300

-250

-200

-150

-100

-50

0

50

100

150

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -290 lbf (J-26 to J-18)

Max Force = 110 (J-18 to J-26)

Page 113: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 34. Lower condenser

Condenser Pipe J-18 - J-19Horizontal force

-2000

-1000

0

1000

2000

3000

4000

5000

6000

7000

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -780 lbf (J-19 to J-18)

Max Force = 6200 lbf (J-18 to J-19)

Page 114: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 35. Lower condenser

Condenser Pipe J-19 - J-40Horizontal force

-2000

-1000

0

1000

2000

3000

4000

5000

6000

7000

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -780 lbf (J-40 to J-19)

Max Force = 6200 lbf (J-19 to J-40)

Page 115: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 36. Horizontal beck flow pipe

Pipe J-27 - J-41Horizontal force

-2000

-1000

0

1000

2000

3000

4000

5000

6000

7000

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -1100 lbf (J-41 to J-27)

Max Force = 6200 lbf (J-27 to J-41)

Page 116: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 37. Inclined back flow pipe

Pipe J-27 - J-28Inclined force

15000

16000

17000

18000

19000

20000

21000

22000

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = 15000 lbf (J-27 to J-28)

Max Force = 21200 lbf (J-27 to J-28)

Page 117: Big Hanaford Combined Cycle Plant Calculation for Cooling

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123

Figure 38. Back flow pipe

Pipe J-28 - J-29Horizontal force

-1200

-1000

-800

-600

-400

-200

0

200

400

600

800

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -1100 lbf (J-29 to J-28)

Max Force = 670 lbf (J-28 to J-29)

Page 118: Big Hanaford Combined Cycle Plant Calculation for Cooling

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123

Figure 39. Back flow pipe

Pipe J-29 - J-30Horizontal force

-4500

-4000

-3500

-3000

-2500

-2000

-1500

-1000

-500

0

500

1000

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1Time (s)

Forc

e (lb

f)

Min Force = -4200 lbf (J-30 to J-29)

Max Force = 290 lbf (J-29 to J-30)

Page 119: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 40. Back flow pipe

Pipe J-30 - J-32Horizontal force

-10000

-8000

-6000

-4000

-2000

0

20000.

025

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -9400 lbf (J-32 to J-30)

Max Force = 570 lbf (J-30 to J-32)

Page 120: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 41. Inclined back flow pipe

Pipe J-32 - J-33Inclined force

9000

9500

10000

10500

11000

11500

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = 9300 lbf (J-32 to J-33)

Max Force = 11300 lbf (J-32 to J-33)

Page 121: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 42. Horizontal distribution pipe to the cooling tower

Pipe J-12 - J-33Horizontal force

-4000

-2000

0

2000

4000

6000

80000.

025

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -3300 lbf (J-12 to J-33)

Max Force = 6300 (J-330 to J-12)

Page 122: Big Hanaford Combined Cycle Plant Calculation for Cooling

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123

Figure 43. Horizontal distribution pipe to the cooling tower including pressure and bend forces turning flow from horizontal into vertical direction.

Pipe J-12 - J-33Horizontal force

-28000

-26000

-24000

-22000

-20000

-18000

-160000.

025

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -27400 lbf (J-12 to J-33)

Max Force = - 16000 (J-12 to J-33)

Page 123: Big Hanaford Combined Cycle Plant Calculation for Cooling

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Figure 44. Horizontal pipe – butterfly valve closed

Pipe BV-5 - J-4Horizontal force

-100

-80

-60

-40

-20

0

20

40

60

80

100

0.02

5

0.52

5

1.02

5

1.52

5

2.02

5

2.52

5

3.02

4

3.52

4

4.02

3

4.52

4

5.02

5

5.52

5

6.02

6

6.52

7

7.02

7

7.52

8

8.02

9

8.52

9

9.03

9.53

1

Time (s)

Forc

e (lb

f)

Min Force = -80lbf (J-4 to BV-5)

Max Force = 80 (BV-5 to J-4)

Page 124: Big Hanaford Combined Cycle Plant Calculation for Cooling

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123

OABA 14 ATTACMENTS Pumps P1 - Ingersoll-Dresser Pumps Proposed Performance P2 - Dave Mathewson fax, Aug. 07, 01, - (Pump data: Specific speed and Pump-Motor Inertia) P3 – Pump 42EPM-1 stage Estimated Dimensions and Weights P4 - E-mail To Richard Burri / From David R. Mathewson (Pump Startup) Condenser C1 – Surface Condenser Specification Sheet – Guarantee Case C2 – Condenser Data Schemes Sh1 – Isometric Piping circulating Water, 11458-EP-25A Sh2 – Computer Program Pipe and Nodes Names Sh3 – Computer Calculated Steady Flows and Hydraulic Grades Two Pump Trip TPT1 – Big Hanaford Combined Cycle Plant – Two pumps trip – Maximum and minimum grade lines Cooling Tower CT1 - Head Loss Calculations E-mails 1. To/From Dr. Don Wood: Questions and Answers on pump speed and torque calculation