Table E-5 Reliability Analysis, Lock Tainter Valve Electrical Equipment

ETL 1110-2-560

30 Jun 01

Table E-5

Reliability Analysis, Lock Tainter Valve Electrical Equipment

Adjusted

Failure

Component/Block

Quan.

Failure

Weibull

Environmental

K Factor

Rate

*

Shape Factor, β

Rate

Circuit Breaker

1

0.3574

1.0

2

0.7148

Forward Starter, Fast

1

0.0212

1.0

2

0.0424

Reverse Starter, Fast

1

0.0212

1.0

2

0.0424

Conductors in Duct, Fast

1

0.5988

1.0

2

1.1976

Electric Motor, AC, Fast

1

6.8834

1.0

2

13.7668

Forward Starter, Slow

1

0.0212

1.0

2

0.0424

Conductors in Duct, Slow

1

0.5988

1.0

2

1.1976

Electric Motor, AC, Slow

1

6.8834

1.0

2

13.7668

DUTY FACTOR, d

Years in Service (Equipment is installed at time 0)

0

5

10

15

20

25

30

35

40

45

50

Year

1990

1995

2000

2005

2010

2015

2020

2025

2030

2035

2040

Number of Cycles**

12758

11799

12336

12514

12692

12841

12991

13249

13508

13754

14000

Circuit Breaker

1.0000

Forward Starter, Fast

0.0473

0.0438

0.0458

0.0464

0.0471

0.0476

0.0482

0.0492

0.0501

0.0510

0.0519

Reverse Starter, Fast

0.0473

0.0438

0.0458

0.0464

0.0471

0.0476

0.0482

0.0492

0.0501

0.0510

0.0519

Conductors in Duct, Fast

0.0947

0.0875

0.0915

0.0929

0.0942

0.0953

0.0964

0.0983

0.1002

0.1021

0.1039

Electric Motor, AC, Fast

0.0947

0.0875

0.0915

0.0929

0.0942

0.0953

0.0964

0.0983

0.1002

0.1021

0.1039

Forward Starter, Slow

0.0024

0.0022

0.0023

0.0024

0.0025

0.0026

0.0027

Conductors in Duct, Slow

0.0024

0.0022

0.0023

0.0024

0.0025

0.0026

0.0027

Electric Motor, AC, Slow

0.0024

0.0022

0.0023

0.0024

0.0025

0.0026

0.0027

RELIABILITY [R(t)] OF INDIVIDUAL COMPONENTS

Years in Service (Equipment is installed at time 0)

0

5

10

15

20

25

30

35

40

45

50

Year

1990

1995

2000

2005

2010

2015

2020

2025

2030

2035

2040

Circuit Breaker

1.0000

0.9692

0.9393

0.9104

0.8823

0.8551

0.8287

0.8032

0.7784

0.7544

0.7312

Forward Starter, Fast

1.0000

0.9999

0.9998

0.9997

0.9996

0.9995

0.9994

0.9993

0.9991

0.9990

Reverse Starter, Fast

1.0000

0.9999

0.9998

0.9997

0.9996

0.9995

0.9994

0.9993

0.9991

0.9990

Conductors in Duct, Fast

1.0000

0.9954

0.9904

0.9855

0.9804

0.9753

0.9701

0.9645

0.9588

0.9530

0.9470

Electric Motor, AC, Fast

1.0000

0.9486

0.8955

0.8454

0.7968

0.7503

0.7056

0.6604

0.6166

0.5747

0.5345

Forward Starter, Slow

1.0000

Conductors in Duct, Slow

1.0000

0.9999

0.9998

0.9996

0.9995

0.9994

0.9992

0.9991

0.9989

0.9988

0.9986

Electric Motor, AC, Slow

1.0000

0.9986

0.9972

0.9957

0.9942

0.9927

0.9911

0.9894

0.9877

0.9859

0.9841

HAZARD RATES [h(t)] OF INDIVIDUAL COMPONENTS

Year

1990

1995

2000

2005

2010

2015

2020

2025

2030

2035

2040

Circuit Breaker

0.0063

Forward Starter, Fast

0.0004

Reverse Starter, Fast

0.0004

Conductors in Duct, Fast

0.0105

Electric Motor, AC, Fast

0.1206

Forward Starter, Slow

0.0004

Conductors in Duct, Slow

0.0105

Electric Motor, AC, Slow

0.1206

RELIABILITY OF SYSTEM

[Rsys(t)]

Year

1990

1995

2000

2005

2010

2015

2020

2025

2030

2035

2040

1.0000

0.9691

0.9390

0.9096

0.8811

0.8533

0.8262

0.7998

0.7742

0.7492

0.7249

PROBABILITY OF UNSATISFACTORY PERFORMANCE OF SYSTEM

[1-Rsys(t)]

Year

1990

1995

2000

2005

2010

2015

2020

2025

2030

2035

2040

0.0000

0.0309

0.0610

0.0904

0.1189

0.1467

0.1738

0.2002

0.2258

0.2508

0.2751

HAZARD RATE OF SYSTEM

[hsys(t)]

Year

1990

1995

2000

2005

2010

2015

2020

2025

2030

2035

2040

one valve

0.0063

0.0138

0.0215

0.0287

0.0356

0.0422

0.0484

0.0547

0.0607

0.0665

0.0719

Failure Rate per 106 Operating Hrs from NPRD Data 1995 (Ref. f) and(1995)Std 493, Appendix A (Ref. j)

Hours from Reliability Analysis Center IEEE and Appendix A of ANSI/IEEE (1980).

*

Failure Rate per E6

**

Hard Cycles is approximation based on a linear regression of factual data from the year range of 1980 through 1997.

E-10