study committee b2 technical advisory group b2-ag-06 2011/andre - tutorial conductor...

Study Committee B2Technical Advisory Group B2-AG-06

CIGREacute B2-AG-06 Seminar Bangkok

TutorialTutorial

Conductor FatigueConductor Fatigue

Louis Cloutier ConvenorLouis Cloutier ConvenorAndreacute Leblond Secretary

CIGREacute WG B230 Engineering Guidelines Relating to Fatigue Endurance Capability of ConductorClamp Systems

F b 28 2011February 28 2011copy CIGREacute 2011

Outline of PresentationOutline of Presentation

IntroductionExamples of Conductor Fatiguep gTypical Conductor ConfigurationsSome Characteristics of Suspension ClampsCIGRE Technical BrochuresCIGRE Technical BrochuresPrediction of Aeolian Vibration Amplitudes

Conductor Profile During Aeolian VibrationsField Measurements of Conductor VibrationsAnalytical Representation of the Fatigue Phenomenon

Laboratory Fatigue Tests ndash Resonant Type Test BenchesFatigue Endurance Data

Vibration Measurement AnalysisCase StudyConductor and Clamp Types Lacking Fatigue Data

Study Committee B2 - Technical Advisory Group B2-AG-06 32011-02-28

Conclusion

Introduction (I)Introduction (I)Aeolian vibrations

Small vibration amplitudes exceeding rarely the conductor diameter frequency range 3 to 150 Hz winds 1 to 7 ms

May lead to fatigue failure of conductor strands at suspension clamps

Such failures are caused by dynamic stresses resulting from reverse bendingfrom reverse bendingOther wind-induced conductor motions such as wake-induced oscillations and galloping may also be responsible


for fatigue conductor strand failures

Introduction (II)Introduction (II)

Natural vibrations are not sinusoidal but show beatsbeatsExamples


Examples of Conductor Fatigue (I)Examples of Conductor Fatigue (I)

Conductor fatigue occurs when wind-induced vibration is not controlledFretting fatigue has long been recognized as being the cause of strand failures in outer as well as inner layers of the conductorsSteel core can fail by overheating after aluminum layers areSteel core can fail by overheating after aluminum layers are separatedInterstrand microslip amplitude increases small cracks are

t d d t t l t t d f il


generated and some propagate up to complete strand failures

Examples of Conductor Fatigue (II)Strand failures occur mainly at suspension clamps where such

Examples of Conductor Fatigue (II)

p psingular conditions are createdTo a lesser extent a similar phenomenon can occur at damper

phenomenon can occur at damper marker or spacer clampsEarly detection of conductor failure

i k f f il ( tt ti t

or risk of failure (attentiveness to early warnings)Wear and failure of conductor strands due to spacer clamp looseningFatigue usually takes many years


Fatigue usually takes many years to become apparent

Typical Conductor Configurations (I)An important component of an overhead power line

The conductor cost is up to about 40 of total capital investment

Typical Conductor Configurations (I)


The conductor size is chosen to suit electrical and mechanical requirementsThe most common conductor type is ACSR (Aluminum Conductor Steel Reinforced)The ratio of steel to aluminum areas vary widelyThe ratio of steel to aluminum areas vary widely


Typical Conductor Configurations (II)Some Special Conductors

Typical Conductor Configurations (II)

Trapezoidal

Z-shaped compact

Self-damping

Expanded

Ri i d tRiver crossing conductor


Some Characteristics of Suspension Clamps (I)Some Characteristics of Suspension Clamps (I)Most of the conductor fatigue test results refer to those

bt i d h th d tobtained when the conductor is supported in a short metallic clampThe ideal profile of the clampThe ideal profile of the clamp body follows the natural curvature of the conductorThe ends of the clamp bodyThe ends of the clamp body and the keeper must be rounded to avoid indenting the conductorThe clamp should be able to rotate in a longitudinal vertical plane to accommodate

t i l l d


asymmetrical loads

Some Characteristics of Suspension Clamps (II)

A i i

Some Other Suspension ClampsSome Characteristics of Suspension Clamps (II)

Armor grip suspension (AGS)

Elastomeric bushing with cage of preformed rodscage of preformed rods

Metal clamp with elastomeric insertSpecial river crossing clampSpecial river crossing clamp

Long saddle to reduce contact stress


CIGRE Technical Brochures (I)CIGRE Technical Brochures (I)

This TB covers a state of the art review on the following aspects of the problem the following aspects of the problem

Fretting behaviour in stranded conductorDetermination of fatigue enduranceDetermination of fatigue endurance capabilityInner conductor mechanics Assessment of vibration severity on actual linesEvaluation of conductor residual life

This TB covers the determination of possible damage and ways to predict remaining life of conductors as well as new methods to t t d t l t


test conductorclamp systems

CIGRE Technical Brochures (II)This TB is a complement to TB 332 which was a state of the art review

CIGRE Technical Brochures (II)

Meant to be a reference for the practicing line engineer in the application of the latest technologyReviews the available design tools to achieve engineering solutionsIdentifies the inherent gaps in their

li tiapplicationGives the engineer a better comprehension of the two related phenomena

Fatigue of conductorsAeolian vibrations

This TB includes a review of those design tools and gives the


g gtransmission line engineer the limits to their application

Prediction of Aeolian Vibration AmplitudesPrediction of Aeolian Vibration Amplitudes

Many utilities have their own design rules (for number of dampers) based on past experiencedampers) based on past experienceVibration severity can also be measured on existing linesA useful analytical approach is the Energy Balance Principle (EBP)Principle (EBP)The EBP leads to an estimate of conductor vibration amplitude based on equating the energy input from the wind with the energy absorption (damping) of thewind with the energy absorption (damping) of the conductor and dampersThe EBP can also be used for the direct design of the damping system for a new linedamping system for a new lineThe estimate of the expected vibratory motion from EBP is considered an upper bound and is therefore a safe value

Conditions can also be assessed through measurements on


Conditions can also be assessed through measurements on existing lines

Conductor Profile During Aeolian VibrationsConductor Profile During Aeolian Vibrations

Parameters describing conductor vibration include

Bending amplitude Yb Free loop amplitude ymaxb maxBending angle β Wave length λ and Loop length ℓ

This representation applies to metal clamps not to


elastomer lined clamps

Field Measurements of Conductor Vibrations (I)

Several methods to measure the vibration intensity of a conductor


vibration intensity of a conductor have been employedThe bending amplitude Yb method finally comes out as the most

It measures the differential displacement of the conductor at 89 mm from the last point of contact with the clamp

ypractical

p pThe reverse bending amplitude was presented as an alternative to permit the installation of the vibration recorder directly onto the conductorThe bending amplitude method must be properly interpreted when cushioned clamps are usedRecommended by IEEE in 1966 (also in the 2007 revision) and


CIGRE SC22 WG04 1979 and SC22 WG11 TF02 1995

Field Measurements of Conductor Vibrations (II)Field Measurements of Conductor Vibrations (II)

HILDAOntario Hydro RecorderTVM 90

Pavica Ribe LVRVibrec 400


Scolar III

Analytical Representation of the Fatigue Phenomenon (I)

a YpdE 2

H

a yt ca ep ese tat o o t e at gue e o e o ( )

( ) bpxa

a Ypxe

p+minus

= minus 14σ

EIHp =

An idealized bending stress in the top-most outer-layer strand (in the plane of the last point of contact) is calculated from the bending amplitude (Poffenberger-Swart formula)

Ea modulus of elasticity of outer wire material (Nmm2)

d diameter of outer layer wire (mm)

( )H conductor tension at average temperature during test period (N)

EI sum of flexural rigidities of individual wires in the cable (Nmm2)

x distance from the point of measurement to the last point of contact between the


x distance from the point of measurement to the last point of contact between the clamp and the conductor

Analytical Representation of the Fatigue Phenomenon (II)

fymEdπσ =


maxaa fyEI

Edπσ

The idealized bending stress can be derived from the free loop amplitude ymax which is the vibration parameter often measured in indoor test spans

Ea Youngrsquos modulus for the outer-layer strand material (Nmm2)


f frequency of the motion (Hz)f frequency of the motion (Hz)

m conductor mass per unit length (kgm)



g ( )

Analytical Representation of the Fatigue Phenomenon (III)

Fatigue of conductors is due to microslip movements of wires inducing fretting fatigue


fretting fatigueThe phenomenon is complex and its exact modelling has yet to be completed

Contact areas between round strandsContact areas between round strands are ellipticalFretting and microslip occur in these contact areasFatigue cracks develop out of these contact areasThe knowledge on fatigue performance of conductors mostly relies on results of laboratory tests made on conductors in fixed short metallic clampsshort metallic clamps

It is not possible at the moment to determine the fatigue endurance of a conductor alone

There is a wide diversity of design and geometry of conductors


y g g yand supports

Laboratory Fatigue Tests ndash Resonant Type Test BenchesLaboratory Fatigue Tests Resonant Type Test Benches

Constant amplitude excitationMeasurement of the bending Pneumatic tensioning system

Dynamometer Suspension clamp gamplitude Yb andor the free loop amplitude ymax

Most tests done with conductors supported in short metallic clampsSlider

DynamometerAmplitude measuring system

Rubber dampers

Wire break detectionVibrator

End clamp

Turnbuckle

55 degsupported in short metallic clampsClamps usually held in a fixed position on the test bench

Active length 7 m2 m 2 m


Fatigue Endurance Data (I)

The results of fatigue tests ultimately lead to the presentation of a fatigue (S N) curve


a fatigue (S-N) curveNote scatter in the dataThe endurance limit is determined at 500 megacyclesat 500 megacyclesIdealized bending stress relative to Yb vs megacycles to failureEndurance limitsEndurance limits

225 MPa for single-layer ACSR85 MPa for multi-layer ACSR

R f EPRI O B k


Ref EPRI Orange Book

Fatigue Endurance Data (II)Estimated bending amplitude endurance limits

Fatigue Endurance Data (II)


Vibration Measurement Analysis (I)Vibration Measurement Analysis (I)

Rule of Thumb Approach to Interpreting Fatigue Data (IEEE)

Widely used set of empirical criteria (ldquoGuide for Aeolian Vibration Field Measurements of Overhead Conductorsrdquo

1368 200 )IEEE P1368 2007) The bending amplitude may exceed the endurance limit during no more than 5 of total cyclesduring no more than 5 of total cyclesNo more than 1 of total cycles may exceed 15 time the endurance limitNo cycle may exceed 2 times the fatigue endurance limit


Vibration Measurement Analysis (II)Multi-Layer ACSR Fatigue Endurance Data

Vibration Measurement Analysis (II)

Statistical analysisS-N curves without wire f ilfailure

Average95 probability of survivalp y


Vibration Measurement Analysis (III)

Based on Cumulative d th (Mi rsquo


damage theory (Minerrsquos rule)Total damage D at several stress levels σi cumulates linearly

D = Σ n ND = Σ niNi

Failure is predicted when

D Σ n N 1D = Σ niNi =1The accuracy of the resulting estimate of lifetime is between 50 d 200


50 and 200

Case Study (I)Report evaluated on 02052002

Transmission line Circuit 3002

Case Study (I)

Voltage (kV)Conductor typeLocation of measurementTerrainSpan length (m)

315ACSR PheasantTower 313 facing Tower 312Flat348 4Span length (m)

Recorder (Type and No)Remarks

3484PAVICA ndeg 5P02Installation date November 21 2001 0degC

First measurement atLast measurement atDuration of one measurement (s)Measurement cycle time (s)

21112001 180024022002 180010900

Total duration of measurement (s)Factor for extrapolation to one yearTotal number of measurements taken

912003457899120


Case Study (II)Fatigue Endurance Limit Approach

12

PAVICA

Case Study (II)

10

Pa)

PAVICAFatigue endurance limit

6

8

lativ

e to

Yb

(MP

4

PS

stre

ss re

l

0

2


0 10 20 30 40 50

Frequency (Hz)

Case Study (III)Cumulative Damage Approach

12

Case Study (III)

10Pa

)

5 S-N curve50 S-N curve95 S-N curveAccumulated stress curve per year

6

8

ativ

e to

Yb

(MP

4

PS

stre

ss re

la

0

2


001 01 1 10 100 1000 10000 100000 1000000

N = Accumulated megacycles per year

Case Study (IV)

Evaluation of remaining lif ti D 1

1400

Case Study (IV)

lifetime D=1There is a 86 probability that the

1000

1200

e (y

ears

)

remaining lifetime exceeds 20 years 600

800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100

Probability of survival ()

0


Case Study (V)

Assessment of the t d i

55

60

65Case Study (V)

most damaging frequenciesHelpful for 40

45

50

)Helpful for choosing the right damping system

25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()

Conductor and Clamp Types Lacking Fatigue Data

The extrapolation of fatigue data available to other types of conductors or to different types of support is not recommended


conductors or to different types of support is not recommended

Bending amplitude method is valid only for armored or unarmored conductors fitted with solid metal-to-metal clamps

Not valid for cushioned clamps (armored or unarmored)

Little test data for conductors except ACSR and aluminum alloys

Some data for ACSR conductors with armor rods

There is a need for more published data on conductor fatigue


Some Important Recent Contributions

Guide for Aeolian Vibration Field Measurements of Overhead Conductors IEEE P1368 2007 (a revision of


3 (IEEE 1966 Report)Transmission Line Reference Book Wind Induced Conductor Motion Second Ed EPRI 2007 (Chapter 3 ( p Fatigue of Overhead Conductors) a revision of the 1979 ldquoOrange BookrdquoFatigue Endurance Capability of ConductorClamp g p y pSystems ndash Update of Present Knowledge CIGRE TF B21107 TB No 332 October 2007Engineering Guidelines Relating to Fatigue Endurance g g g gCapability of ConductorClamp Systems CIGRE WG B230 TB No 429 October 2010


Conclusion

Fatigue endurance capability of conductors is a very useful

Conclusion

parameter at the design stage as well as for a maintenance program

Aeolian vibrations and conductor fatigue are both highly complex phenomena

So far design tools proposed are a good example of the engineering approach to solve a complex problemg g pp p pAdequate determination of the fatigue characteristics of a conductorclamp system is very important in the design of a line

Acceptable level of conductor vibrationsAcceptable level of conductor vibrationsDetermination of safe design tensions

Future work is needed to better understand the importance of many other parameters


many other parameters

CIGRE WG B2 30

Members L Cloutier (Convenor) A Leblond (Secretary) U

CIGRE WG B230

Members L Cloutier (Convenor) A Leblond (Secretary) U Cosmai P Dulhunty M Ervik DG Havard D Hearnshaw HJ Krispin M Landeira P Mouchard K Papailiou D Sunkle B WareingWareing

Corresponding Members JA Arauacutejo H Argasinska JM p g j g Asselin O Cournil G Diana K Halsan CB Rawlins R Stephen P Timbrell

Associated Experts T Alderton J Duxbury A Goel C Hardy A Laneville A Manenti Diana S Pichot T Seppauml P Van Dyke


Speakers Contact InformationSpeaker s Contact Information

Andreacute Leblond PhD Eng

Tel 1-514-879-4100 ext 5734Tel 1 514 879 4100 ext 5734Fax 1-514-879-4855E-Mail leblondandre2hydroqcca

Address 85 rue Ste-Catherine Ouest 2nd floorMontreal QuebecMontreal QuebecH2X 3P4CANADA


Thank you Thank you

QUESTIONSQUESTIONS


CIGREacute B2-AG-06 Seminar Bangkok

TutorialTutorial

Conductor FatigueConductor Fatigue

Louis Cloutier ConvenorLouis Cloutier ConvenorAndreacute Leblond Secretary

CIGREacute WG B230 Engineering Guidelines Relating to Fatigue Endurance Capability of ConductorClamp Systems

F b 28 2011February 28 2011copy CIGREacute 2011







Conclusion































Trapezoidal

Z-shaped compact

Self-damping

Expanded





t i l l d


asymmetrical loads


A i i





































ypractical








Scolar III


a YpdE 2

H


( ) bpxa

a Ypxe

p+minus

= minus 14σ

EIHp =










fymEdπσ =


maxaa fyEI

Edπσ








g ( )









y g g yand supports






Rubber dampers


End clamp

Turnbuckle









R f EPRI O B k
























50 and 200



Case Study (I)






21112001 180024022002 180010900


912003457899120



12

PAVICA

Case Study (II)

10

Pa)


6

8

lativ

e to

Yb

(MP

4

PS

stre

ss re

l

0

2


0 10 20 30 40 50

Frequency (Hz)


12

Case Study (III)

10Pa

)


6

8

ativ

e to

Yb

(MP

4

PS

stre

ss re

la

0

2


001 01 1 10 100 1000 10000 100000 1000000


Case Study (IV)


1400

Case Study (IV)


1000

1200

e (y

ears

)


800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100


0


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS








Conclusion































Trapezoidal

Z-shaped compact

Self-damping

Expanded





t i l l d


asymmetrical loads


A i i





































ypractical








Scolar III


a YpdE 2

H


( ) bpxa

a Ypxe

p+minus

= minus 14σ

EIHp =










fymEdπσ =


maxaa fyEI

Edπσ








g ( )









y g g yand supports






Rubber dampers


End clamp

Turnbuckle









R f EPRI O B k
























50 and 200



Case Study (I)






21112001 180024022002 180010900


912003457899120



12

PAVICA

Case Study (II)

10

Pa)


6

8

lativ

e to

Yb

(MP

4

PS

stre

ss re

l

0

2


0 10 20 30 40 50

Frequency (Hz)


12

Case Study (III)

10Pa

)


6

8

ativ

e to

Yb

(MP

4

PS

stre

ss re

la

0

2


001 01 1 10 100 1000 10000 100000 1000000


Case Study (IV)


1400

Case Study (IV)


1000

1200

e (y

ears

)


800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100


0


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS
































Trapezoidal

Z-shaped compact

Self-damping

Expanded





t i l l d


asymmetrical loads


A i i





































ypractical








Scolar III


a YpdE 2

H


( ) bpxa

a Ypxe

p+minus

= minus 14σ

EIHp =










fymEdπσ =


maxaa fyEI

Edπσ








g ( )









y g g yand supports






Rubber dampers


End clamp

Turnbuckle









R f EPRI O B k
























50 and 200



Case Study (I)






21112001 180024022002 180010900


912003457899120



12

PAVICA

Case Study (II)

10

Pa)


6

8

lativ

e to

Yb

(MP

4

PS

stre

ss re

l

0

2


0 10 20 30 40 50

Frequency (Hz)


12

Case Study (III)

10Pa

)


6

8

ativ

e to

Yb

(MP

4

PS

stre

ss re

la

0

2


001 01 1 10 100 1000 10000 100000 1000000


Case Study (IV)


1400

Case Study (IV)


1000

1200

e (y

ears

)


800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100


0


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS




t i l l d


asymmetrical loads


A i i





































ypractical








Scolar III


a YpdE 2

H


( ) bpxa

a Ypxe

p+minus

= minus 14σ

EIHp =










fymEdπσ =


maxaa fyEI

Edπσ








g ( )









y g g yand supports






Rubber dampers


End clamp

Turnbuckle









R f EPRI O B k
























50 and 200



Case Study (I)






21112001 180024022002 180010900


912003457899120



12

PAVICA

Case Study (II)

10

Pa)


6

8

lativ

e to

Yb

(MP

4

PS

stre

ss re

l

0

2


0 10 20 30 40 50

Frequency (Hz)


12

Case Study (III)

10Pa

)


6

8

ativ

e to

Yb

(MP

4

PS

stre

ss re

la

0

2


001 01 1 10 100 1000 10000 100000 1000000


Case Study (IV)


1400

Case Study (IV)


1000

1200

e (y

ears

)


800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100


0


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS



A i i





































ypractical








Scolar III


a YpdE 2

H


( ) bpxa

a Ypxe

p+minus

= minus 14σ

EIHp =










fymEdπσ =


maxaa fyEI

Edπσ








g ( )









y g g yand supports






Rubber dampers


End clamp

Turnbuckle









R f EPRI O B k
























50 and 200



Case Study (I)






21112001 180024022002 180010900


912003457899120



12

PAVICA

Case Study (II)

10

Pa)


6

8

lativ

e to

Yb

(MP

4

PS

stre

ss re

l

0

2


0 10 20 30 40 50

Frequency (Hz)


12

Case Study (III)

10Pa

)


6

8

ativ

e to

Yb

(MP

4

PS

stre

ss re

la

0

2


001 01 1 10 100 1000 10000 100000 1000000


Case Study (IV)


1400

Case Study (IV)


1000

1200

e (y

ears

)


800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100


0


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS
































ypractical








Scolar III


a YpdE 2

H


( ) bpxa

a Ypxe

p+minus

= minus 14σ

EIHp =










fymEdπσ =


maxaa fyEI

Edπσ








g ( )









y g g yand supports






Rubber dampers


End clamp

Turnbuckle









R f EPRI O B k
























50 and 200



Case Study (I)






21112001 180024022002 180010900


912003457899120



12

PAVICA

Case Study (II)

10

Pa)


6

8

lativ

e to

Yb

(MP

4

PS

stre

ss re

l

0

2


0 10 20 30 40 50

Frequency (Hz)


12

Case Study (III)

10Pa

)


6

8

ativ

e to

Yb

(MP

4

PS

stre

ss re

la

0

2


001 01 1 10 100 1000 10000 100000 1000000


Case Study (IV)


1400

Case Study (IV)


1000

1200

e (y

ears

)


800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100


0


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS






Scolar III


a YpdE 2

H


( ) bpxa

a Ypxe

p+minus

= minus 14σ

EIHp =










fymEdπσ =


maxaa fyEI

Edπσ








g ( )









y g g yand supports






Rubber dampers


End clamp

Turnbuckle









R f EPRI O B k
























50 and 200



Case Study (I)






21112001 180024022002 180010900


912003457899120



12

PAVICA

Case Study (II)

10

Pa)


6

8

lativ

e to

Yb

(MP

4

PS

stre

ss re

l

0

2


0 10 20 30 40 50

Frequency (Hz)


12

Case Study (III)

10Pa

)


6

8

ativ

e to

Yb

(MP

4

PS

stre

ss re

la

0

2


001 01 1 10 100 1000 10000 100000 1000000


Case Study (IV)


1400

Case Study (IV)


1000

1200

e (y

ears

)


800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100


0


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS



a YpdE 2

H


( ) bpxa

a Ypxe

p+minus

= minus 14σ

EIHp =










fymEdπσ =


maxaa fyEI

Edπσ








g ( )









y g g yand supports






Rubber dampers


End clamp

Turnbuckle









R f EPRI O B k
























50 and 200



Case Study (I)






21112001 180024022002 180010900


912003457899120



12

PAVICA

Case Study (II)

10

Pa)


6

8

lativ

e to

Yb

(MP

4

PS

stre

ss re

l

0

2


0 10 20 30 40 50

Frequency (Hz)


12

Case Study (III)

10Pa

)


6

8

ativ

e to

Yb

(MP

4

PS

stre

ss re

la

0

2


001 01 1 10 100 1000 10000 100000 1000000


Case Study (IV)


1400

Case Study (IV)


1000

1200

e (y

ears

)


800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100


0


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS



fymEdπσ =


maxaa fyEI

Edπσ








g ( )









y g g yand supports






Rubber dampers


End clamp

Turnbuckle









R f EPRI O B k
























50 and 200



Case Study (I)






21112001 180024022002 180010900


912003457899120



12

PAVICA

Case Study (II)

10

Pa)


6

8

lativ

e to

Yb

(MP

4

PS

stre

ss re

l

0

2


0 10 20 30 40 50

Frequency (Hz)


12

Case Study (III)

10Pa

)


6

8

ativ

e to

Yb

(MP

4

PS

stre

ss re

la

0

2


001 01 1 10 100 1000 10000 100000 1000000


Case Study (IV)


1400

Case Study (IV)


1000

1200

e (y

ears

)


800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100


0


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS










y g g yand supports






Rubber dampers


End clamp

Turnbuckle









R f EPRI O B k
























50 and 200



Case Study (I)






21112001 180024022002 180010900


912003457899120



12

PAVICA

Case Study (II)

10

Pa)


6

8

lativ

e to

Yb

(MP

4

PS

stre

ss re

l

0

2


0 10 20 30 40 50

Frequency (Hz)


12

Case Study (III)

10Pa

)


6

8

ativ

e to

Yb

(MP

4

PS

stre

ss re

la

0

2


001 01 1 10 100 1000 10000 100000 1000000


Case Study (IV)


1400

Case Study (IV)


1000

1200

e (y

ears

)


800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100


0


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS







Rubber dampers


End clamp

Turnbuckle









R f EPRI O B k
























50 and 200



Case Study (I)






21112001 180024022002 180010900


912003457899120



12

PAVICA

Case Study (II)

10

Pa)


6

8

lativ

e to

Yb

(MP

4

PS

stre

ss re

l

0

2


0 10 20 30 40 50

Frequency (Hz)


12

Case Study (III)

10Pa

)


6

8

ativ

e to

Yb

(MP

4

PS

stre

ss re

la

0

2


001 01 1 10 100 1000 10000 100000 1000000


Case Study (IV)


1400

Case Study (IV)


1000

1200

e (y

ears

)


800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100


0


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS







R f EPRI O B k
























50 and 200



Case Study (I)






21112001 180024022002 180010900


912003457899120



12

PAVICA

Case Study (II)

10

Pa)


6

8

lativ

e to

Yb

(MP

4

PS

stre

ss re

l

0

2


0 10 20 30 40 50

Frequency (Hz)


12

Case Study (III)

10Pa

)


6

8

ativ

e to

Yb

(MP

4

PS

stre

ss re

la

0

2


001 01 1 10 100 1000 10000 100000 1000000


Case Study (IV)


1400

Case Study (IV)


1000

1200

e (y

ears

)


800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100


0


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS























50 and 200



Case Study (I)






21112001 180024022002 180010900


912003457899120



12

PAVICA

Case Study (II)

10

Pa)


6

8

lativ

e to

Yb

(MP

4

PS

stre

ss re

l

0

2


0 10 20 30 40 50

Frequency (Hz)


12

Case Study (III)

10Pa

)


6

8

ativ

e to

Yb

(MP

4

PS

stre

ss re

la

0

2


001 01 1 10 100 1000 10000 100000 1000000


Case Study (IV)


1400

Case Study (IV)


1000

1200

e (y

ears

)


800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100


0


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS




Case Study (I)






21112001 180024022002 180010900


912003457899120



12

PAVICA

Case Study (II)

10

Pa)


6

8

lativ

e to

Yb

(MP

4

PS

stre

ss re

l

0

2


0 10 20 30 40 50

Frequency (Hz)


12

Case Study (III)

10Pa

)


6

8

ativ

e to

Yb

(MP

4

PS

stre

ss re

la

0

2


001 01 1 10 100 1000 10000 100000 1000000


Case Study (IV)


1400

Case Study (IV)


1000

1200

e (y

ears

)


800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100


0


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS



12

PAVICA

Case Study (II)

10

Pa)


6

8

lativ

e to

Yb

(MP

4

PS

stre

ss re

l

0

2


0 10 20 30 40 50

Frequency (Hz)


12

Case Study (III)

10Pa

)


6

8

ativ

e to

Yb

(MP

4

PS

stre

ss re

la

0

2


001 01 1 10 100 1000 10000 100000 1000000


Case Study (IV)


1400

Case Study (IV)


1000

1200

e (y

ears

)


800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100


0


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS



12

Case Study (III)

10Pa

)


6

8

ativ

e to

Yb

(MP

4

PS

stre

ss re

la

0

2


001 01 1 10 100 1000 10000 100000 1000000


Case Study (IV)


1400

Case Study (IV)


1000

1200

e (y

ears

)


800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100


0


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS


Case Study (IV)


1400

Case Study (IV)


1000

1200

e (y

ears

)


800

inin

g lif

etim

e

200

400R

ema

0 10 20 30 40 50 60 70 80 90 100


0


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS


Case Study (V)


55

60

65Case Study (V)


45

50


25

30

35

Freq

uenc

y (H

z)

10

15

20

25

0 4 8 12 16 20 24 28

0

5

10


0 4 8 12 16 20 24 28

Damage share ()
















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS

















Conclusion


Conclusion








CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS


CIGRE WG B2 30


CIGRE WG B230










Thank you Thank you

QUESTIONSQUESTIONS







Thank you Thank you

QUESTIONSQUESTIONS


study committee b2 technical advisory group b2-ag-06 2011/andre - tutorial conductor...

Documents