Ice Loading Effect - Sag tension

DOC OCUME MENT TI TLE :

SAG TENSI ON CALCULATI ON

DOCUMENTNO. O.CG309( W) EDD101

0

FI RSTI SSUED

REV.NO.

DESCRI PTI ON

JD

PKK

I NI TI AL

SKK

SI GN I NI TI AL

PRPD

SI GN I NI TI A

CHKD

NOA.NO. O.

CCCS/296/NR2/SS1770/3/G1/NOAI I /4683DATED 16/05/20

PROJECT

AUGME MENTATI ON OFTRANSFORME MERSI N NRPARTA

SUBSTATI ON

OWN WNER

EPCCONTRACTOR

400/220kV WA WAGOO OORA EXTENSI ON S/S

POWE WER GRI D COR ORPOR ORATI ON OFI NDI ALI MI TED GOVERNMENTOFI NDI DI A ENTERPRI SE)

CROM OMPTON GR GREAVES L TD. EPD DI VI SI ON 3r dFl oor ,CyberGr een,TowerA

( A

17-Feb-14

SI GN APVD

3

DATE

Construction of 220kV Bays at Wagoora Substation SAG TENSION CALCULATION O! 220kV "AC# BUS $ TWIN ACS! %OOSE &'() S*an+ at (,The Sag-Tension is calculated for the following i)

or S*an /ngt. '( %tr-

The ma *ro*osed tension is 2gconductor. The maimum am/ient tem*erature is 5,. owe0er for the calculation of S%:; the stress;ten tem*eratures are calculated and ta/ulated.similarl< the stress; tension;deflection and swing for 0arious tem*eratures at full load wind condition

Sl.no

Tem* ,

Stress (=ull wind) (g$ 2)

Tension Tfull wind (g)

S%: %T =#>> ?ind ($)

Swing (m)

Stress (Still air) (g$2)

T Ts

1

-15

2931323.28

175

.928

1.5795

172!82.25

13.

2

-1

29157"3."313"591

17".!988

.9257

1.5879

1722823.892132

128.

3

-5

29"3.73"""983

1731.5"1

.93!

1.59!3

1719583.823832!

12!.

"



2885298.198388!

1722.523

.9355

1.!"7

171!3!1.8817292

12".

5

5

287"21.331!379

1713.!"1"

.9""

1.!13

1713157.89"25812

122.

!

1

28557!!.!""825

17".8927

.9"52

1.!213

179971.!978!237

12.

7

15

28"1329.!23"75"3

1!9!.2738

.95

1.!295

17!83.128"835

118.

8

2

28271".7"287"3"

1!87.7815

.95"8

1.!377

173!52.2"8591

117.

9

25

28138!.9"553"57

1!79."129

.9595

1.!"59

17518.2275!!51

115.

1

3

2799271.3393!22

1!71.1!5

.9!"3

1.!5"

1!97"1.579521"3

113.

11

35

2785!53.1917!97

1!!3.35

.9!9

1.!!21

1!9"31.925"132"

111.

12

"

2772227.9153!!!

1!55.21

.9737

1.!71

1!91219.11193897

19.

13

"5

2758991.77"9223

1!"7.1177

.9783

1.!781

1!88152.987718!1

17

1"

5

27"5938.3798!8

1!39.3252

.983

1.!8!1

1!8513."32!"37

1!.

15

55

2733!5.!5!5273!

1!31.!"2

.987!

1.!9"1

1!827.2195"

1".

1!

!

2723!8.8757877

1!2".!2

.9922

1.72

1!7953.2!"98319

12

17

!5

2778"".1238173

1!1!.5829

.99!8

1.798

1!7!52."2137252

1.

18

7

2!95"87.!181933

1!9.2!1

1.1"

1.7177

1!73!7.5379295

998.

19

75

2!83295.!58!!551

1!1.9275

1.59

1.7255

1!798."7"1588

997.

S#$$%&' 1

$aimum woring tension *er conductor

T

+

2

$aimum sag of ,onductor

S

+

3

eight of ac /us le0el taing



+

"

eight of eui*ment /us

5

ertical ,learance /etween lower most conductor  4ui*ment

!

$inimum clearance /etween *hase to *hase for 22 as *er ,6 $anual

+ clr

+ +

Since the calculated 0ertical clearance /etween 4ui*ment and >ower most conductor is greater than the minimum clearance /etween *hase to *hase; T adeuate.

5 OF 32

Full Wind Condition Temp Vs Tension & Sag g k n 1800 o i s n 1750 e T

1.02 1.00 0.98

1700

0.96

1650

0.94 0.92

1600

0.90 1550

0.88

1500

0.86 -15

-10

-5

0

5

10

15

20

25 30 35 Temp Deg C

40

45

50

55

60

65

70

75

Still Air Condition Temp Vs Tension & Sa g g k n 1040 o i s n 1030 e T

0.9 0.9 0.9 0.9 0.8 0.8 0.8 0.8 0.8 0.8 0.8

1020 1010 1000 990 980 -15

-10

-5

0

5

10

15

20

25 30 35 Temp Deg C

6 OF 32

40

45

50

55

60

65

70

75

7 OF 32

,) ./ig.t

ion at still air condition for 0arious are calculated and ta/ulated.

ension (g) till air

S%: %T ST6>> ?ind ($)

"7113315

.88!

5258!2"55!

.8822

5915"282!7

.8839

!!8"35

.885!

7552!28721

.8872

85313!238

.8889

9!1"!77"7

.895

8258891

.8922

293818572

.8938

3"87"297"3

.8955

"982"9"717

.8971

!5789827!

.8987

.827333!!8

.9"

!7317"88

.92

195915937"

.93!

.39"799195

.952

!3295559"

.9!9

21321281

.985

"8789"12

.911

175

@g at ⁰ ,

1.!

$

1!.!

$

9

$

!.59

$

2.1

$

he selected height of tower is

8 OF 32

00 00 00 00 00 00

m g a S

Tensio n Sag

00 00 00

150 100 m 050 g a 000 S 950 900 850 800 750 700 650

Tensio n Sag

9 OF 32

10 OF 32

Construction of 220kV Bays at Wagoora Substation ANNE3U!E$A SAG TENSION CALCULATION O! 220kV "AC# BUS $ TWIN ACS! %OOSE &'() S*an+ at (,-,) ./ig.t &4=4&4A,4 B 1) 2)

TA4 ower 4ngineers and/oo B art - o e o *ract ce or es gn oa s ot er t an eart ua e or u

ngs an structures; art-

n oa s

3)

6S82( artlSec 1 ) B1995 - #se Cf Structural Steel 6n C0erhead Transmission >ine Towers-,ode Cf ractise-Third &e0ision

")

6S 5!13 (art 1 Section 1)B 1995

%.

econ

e0 s on

SITE INO!%ATION

?6AD ECA4

2  /

%S6, ?6AD S44D

+

39

T4&&%6A ,%T4:C&'

2

&4>6%6>6T' >44>

1

46:T C= ST&6A:6A: ,CAD#,TC&



,

1!.!

,%>,#>%T6CA =C& ?6AD &4SS#&4 D4S6:A ?6AD &4SS#&4

d

+

?here; d is Design ?ind S*eed

d

+

r  @ 1  @ 2

r is &efrence ?ind S*eed

r

+

 /  @ o

?here; @ o + 1.375

r

+

28.3!

&is ,oefficient

@ 1

+

1

Terrain &oughness ,o-efficient

@ 2

+

1

F+G

d

+

28.3!

ence; Design ?ind ressure

d

+

"82.7

d

+

"9.2

Distance etween Two :irders

>

+

"1

:irders ?idth

:w

+

1.5

S*an >ength 4cluding :rider ?idth

a

+

39.5

>ength Cf >ong &od 6nsulator

>1

+

2.175

>ength Cf Stringing ardware

>2

+

.8

>ength Cf %,S& ,onductor

>3

+

33.55

Ao. of ,onductor er hase

A

+

2

$aimum Tem*erature ,onsidered

T1

+

75

$inimum Tem*erature ,onsidered

T

+

-15

Basic Infor)ation

Tem*erature &ange Taen

-15 to 75 6T

$aimum 6nitial Tension (%s er Technical S*ecification; %nne. - D)

D

.!  d

+

175

Con1uctor ata

T<*e of ,onductor

%,S& $CCS4

Diameter of ,onductor

Dc

+

31.77

?eight of ,onductor

?c

+

2."

%rea of ,ross Section of ,onductor

%c

+

597

$odulus 4lasticit< of ,onductor

4s

+

!8!

,o-efficient of Thermal 4*ansion

4t

+

.193

11 OF 32

4

CALCULATION O! NO- O S4ACE!S

S*acer S*an Aos. of S*acers

=

>s

+

2.5

As

+

(>3  >s )

+

13

?eight of 4ach S*acer

?s

+

2

S*acing etween Su/-,onductor

SS

+

.25

?1

+

?c I((As  ?s )  (>3 

+

2.""

Loa1ing on Con1uctor

?eight of ,onductor including S*acers *er #nit >ength

Eff/ct of I c/ Loa1ing on Con1uctor

&adius of ,onductor

r

+

.159

Thicness of 6ce (%s *er Section roHect; ,l. ".2.2; g. 2)

t

+

.15

+

.22

+

.917

+

917

+

2.2"

+

135.57

+

32

olume of 6ce er unit >ength

{( r + t ) ^2− r ^2 }∗1

π

+

Dice

Densit< of 6ce

?ice

?eight of ice er #nit >ength of ,onductor

+

Densit< of ice  ol. of 6ce er unit >ength ?ice-conductor

?eight of ice on ,onductor cosidering ice loading effect

Eff/ct of Ic/ Loa1ing on S*ac/r

Diameter of %ial >ength in S*acer &adius of %ial >ength in S*acer

r

+

.1!

Thicness of 6ce (%s *er Section roHect; ,l. ".2.2; g. 2)

t

+

.15

+

.22

+

.917

+

917

+

2.33

+

.25

Tota A5ia L/ngt.

+

3.355

?eight of S*acer cosidering ice loading effect

+

!.81

Aet ?eight of ice on ,onductor including S*acers considering 6ce >oading 4ffect

+

1"2.38

+

2.29

olume of 6ce er unit >ength

{( r + t ) ^2− r ^2 }∗1

π

+

Dice

Densit< of 6ce

?ice

?eight of ice er #nit >ength on S*acer

+

Densit< of ice  ol. of 6ce er unit >ength ?ice-s*acer

%ial >ength of S*acer is a**ro. same as Su/ ,onductor S*acing ence %ial >ength of S*acer Ao. of S*acers

13

?eight of 6,4 CA ,onductor including S*acers considering 6ce >oading 4ffect *er #nit >ength

?2

Eff/ct of Win1 Loa1ing on Con1uctor

roHected %rea *er unit >ength on which ?ind is %cting

+(rIt).1 S.$

+ +

c

+

99."!

?ind >oading er #nit >ength

?3

+

!.1!!7

!/sutant Loa1 on Con1uctor

?"

+

SrtK(?1 I?2)2I?32

?"

+

7.59

+

1.715

?ind ressure Cn ,onductor ,d

+

1

J

:c

+

2.21

K%s er 6S 82 - Ta/le-7L

S6AM

:

.31

c

d N ,d N :c

Loa1ing on Insuator

>ength of >ong &od 6nsulator

>"

+

2175

Diameter of >ong &od 6nsulator

Dins

+

135

12 OF 32

?eight of >ong &od 6nsulator

?ins

+

9

Ao. Cf >ong &od 6nsulator *er String

Ains

+

2

W:

6

(7

r

+

.!75

t

+

.15

+

.71

+

.917

+

917

+

!."798

W,

6

28.19

ins

+

ins

+

12".28

?7

+

.5NinsN>insNDinsNAins

W=

Tota W/ig.t of Insuator

Eff/ct of Ic/ Loa1ing on Insuator String

&adius of >ong &od 6nsulator Thicness of 6ce (%s *er Section roHect; ,l. ".2.2; g. 2) olume of 6ce er unit >ength

+

π {( r + t ) ^ 2− r ^ 2 }∗1

Dice

Densit< of 6ce

?ice

?eight of ice er #nit >ength of 6nsulator

+

Densit< of ice  ol. of 6ce er unit >ength ?ice-insulator

?eight of ice on 6nsulator cosidering ice loading effect

Eff/ct of Win1 Loa1ing on Insuator String

?ind ressure Cn 6nsulator String ,d

+

1.2

J

:c

+

2.15

K%s er 6S 82 - Ta/le !L

Win1 on Insuator String

!/sutant Loa1 on Insuator String



d N ,d N :c

6

8,-'9

?8

+

SrtK(?5 I?!)2I?72

W7

6

:7-7,8

W9

+

29

r

+

.1

t

+

.15

+

.1!

+

.917

+

917

+

1.5119

>2

+

.8

W(0

6

1.21

S

+

S

+

Loa1ing on Stringing ;ar1
?eight of Stringing ardware

Eff/ct of Ic/ Loa1ing on String ;ar1
&adius  thicness of Stringing ardware Thicness of 6ce (%s *er Section roHect; ,l. ".2.2; g. 2) olume of 6ce er unit >ength

+

2− r ^ 2 }∗1 π {( r + t ) ^ Dice

Densit< of 6ce

?eight of ice er #nit >ength of Stringing arware ?ice

+

Densit< of ice  ol. of 6ce er unit >ength ?ice-Stringing

>ength Cf Stringing ardware ?eight of ice on Stringing ardware cosidering ice loading effect

Eff/ct of Win1 Loa1ing on Stringing ;ar1
?ind ressure Cn Stringing ardware ,d

+

1.2

J

:c

+

2.15

K%s er 6S 82 - Ta/le !L

?

?idth of ardware Win1 on Stringing ;ar1
!/sutant Loa1 on Stringing ;ar1
6)

ULL WIN LOA CONITION$LOA IST!IBUTION

>C%D D6ST&6#T6CA

13 OF 32

+

d N ,d N :c 12".28

.25

?11

SN>2N?

+

W((

6

2'-7,

?12

+

SrtK(?9 I?1)2I?1

W(2

6

89-(2(

S4%& =C&,4 D6%:&%$

!EACTION AT EAC; EN

!

?8 I?12 I12(>3 N?") 225.3

I(

TOTAL C!OSS O!CE A!EA U4TO %A3 SAG

&N>12 2"5.2

I2

(&-?8)N(>12 I >22) 2"7.58

I8

(&-?8-?12)N(>22) 5.93

I'

(&-?8-? 12)N(12 N >32) 1!7.91

TOTAL ELECTION at 0⁰ C AT WIN LOA CONITION

TCA

1!11.""

WL

T,=%  6T .928

14 OF 32

66)

STILL WIN LOA CONITION$LOA IST!IBUTION

>C%D D6ST&6#T6CA

S4%& =C&,4 D6%:&%$

! 0

!EACTION AT EAC; EN & STILL AI! CONITION+

((?5I?!)2)I((? 9I?1)2)I((12)N(? 1I?2)N>3) 112."3

I0(

TOTAL C!OSS O!CE A!EA U4TO %A3 SAG

& N>12 122.2!

I02

(&  - (?5I?!)2)N(>12I>22) 132.88

I08

(&  - (?5I?!)2) - ((?9I?1)2))N(>22) 29.!9

I0'

(&  - (?5I?!)2) - ((?9I?1)2))N(12)N(>32) !22.58

T0CA

TOTAL

15 OF 32

97."1

$Sec

$

A$2

$Sec $Sec

$Sec A$2 @g$2

$ $ $ $ $ $

⁰, ⁰, ⁰,

@g at ⁰ ,

mm @g$ mm2 @gmm2 er ⁰,

16 OF 32

$ Aos. Aos. @g $

A)) @g$

$ $

gm  ,m3 @g  $3

@g$ @g

mm $ $

gm  ,m3 @g  $3

@g$

$ Aos. $tr.

@g @g

@g$

$2

@g$2

@g$

L @g$

mm mm

17 OF 32

@g Aos. #g

$ $

gm  ,m3 @g  $3

@g$ @g

@g$2

@g L @g$

@g

$ $

gm  ,m3 @g  $3

@g$ $ @g

@g$2

$

@g 2

L

@g$

18 OF 32

@g

@g-$

@g-$

@g-$

@g-$ @g-$

$

19 OF 32

@g

@g-$

@g-$

@g-$

@g-$ @g-$

20 OF 32

TENSION CALCULATION AT u Win1 CONITION > ICE LOAING EECT

%

Con1uctor ata

T<*e of ,onductor

%,S&


Dc

+

?eight of ,onductor

?c

+


%c

+


4s

+ +

!8 .


4t

+


>3

+


A

+


T1

+


T

+


-

Tem*erature Difference

Δt

=


6T

+

?ind *ressure at Oero Deg celcius

f 1

+

2.

f (

6

29

?1

6

δ

+

?"

+

?(

6

?2

6

@

+

-5

Q

+

.

t1

+

t2

+

?eight of ,onductor including S*acers *er #nit >ength δ

P is densit< of ,onductor material

+

(w%)

,onstant

?eight of ,onductor including S*acers *er #nit >ength considering 6ce >oading  ?ind >oading

1

>oading =actor >oading =actor

=

(?w)

=or =ull ?ind

2

K

+

f 1

−

2

1

2

l δ q 1 E 2

24 f 1

Q

,oefficient of linear e*ansion *er deg ,

Tem*erature difference + ( t 2 - t1 )

t

A +

+

@ - Qt4

2

M

=

2

24

40aluation of f 2 from the cu/ic euation

3

2

f 2 f 2 N M −

?here; +

1

/

+

-5.814I7

c

+



d

+

5.184I2

−

=

0

Cn Sol0ing the a/o0e cu/ic euation we get f 2 f 2

+

!

A

+

-5

$

+

5

2

l δ q 2 E

a

Qt4

+

2 29157"3."313"591 #g@%

21 OF 32

22 OF 32

$CCS4 31.77

mm

2."

@g$

597

mm2

!8!

@gmm2



#g@%2

193

er ⁰,

33.55

$

2 75

⁰,

-15

⁰,

15 to 75

⁰,

5

⁰,

175

@g at ⁰ ,

3132328

@gmm2

8(828-27

#g@%2

7.59

@g$

2713."!

@g$ 3

7.59

@g$

8-(:= 8-(:=

.7"4I7

193

er ⁰,

-15

⁰,

-1

⁰,

5

⁰,

.!24I5

.814I7

.184I2

23 OF 32

24 OF 32

INITIAL ST!ESS CALCULATION AT Stan1 Sti Air CONITION > ICE LOAING EECT

%

Con1uctor ata

T<*e of ,onductor

%,S&


Dc

+

?eight of ,onductor

?c

+


%c

+


4s

+ +

!8 .


4t

+


>3

+


A

+


Δt

=


6T

+


f 1

+

2.

f (

6

29

?1

6

δ

+

?"

+

?(

6

?2

6

@

+

-5

Q

+

.

?eight of ,onductor including S*acers *er #nit >ength δ


+

(w%)

,onstant


1


=

(?w)

6,4 onl<

2

K

+

f 1

−

2

1

2

l δ q 1 E 2

24 f 1

Q


t

Tem*erature difference + ( t2 - t1 )

A +

+

@ - Qt4

2

M

=

2

24

3


2

f 2 f 2 N M −

?here; +

1

/

+

-5.7"4I7

c

+



d

+

1.7!4I2

−

=

0


+



A

+

-5

$

+

1

2

l δ q 2 E

a

Qt4

+

2 172!82.258!19 #g@%

25 OF 32

26 OF 32

$CCS4 31.77

mm

2."

@g$

597

mm2

!8!

@gmm2



#g@%2

193

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33.55

$

2

0

⁰,

175

@g at ⁰ ,

3132328

@gmm2

8(828-27

#g@%2

7.59

@g$

2713."!

@g$3

7.59

@g$

8-(:= (-7'0

.7"4I7

193 

er ⁰, ⁰,

.4I

.7"4I7

.7!4I2

27 OF 32

28 OF 32

TENSION CALCULATION AT Stan1 Sti Air CONITION > ICE LOAING EECT

%

Con1uctor ata

T<*e of ,onductor

%,S&


Dc

+

?eight of ,onductor

?c

+


%c

+


4s

+ +

!8 .


4t

+


>3

+


A

+


T1

+


T

+


-


Δt

=


6T

+


f 1

+

1.

f (

6

(=

?1

6

δ

+

?"

+

?(

6

?2

6

@

+

-1

Q

+

.

t1

+

t2

+

?eight of ,onductor including S*ace rs *er #nit >ength δ


+

(w%)

,onstant


1


=

(?w)

=or Stand Still %ir

2

K

+

f 1

−

2

1

2

l δ q 1 E 2

24 f 1

Q


Tem*erature difference + ( t2 - t1 )

t

A +

+

@ - Qt4

2

M

=

2

24

3


2

f 2 f 2 N M −

?here; +

1

/

+

-1.734I8

c

+



d

+

5.184I2

−

=

0


+

!

A

+

-1

$

+

5

2

l δ q 2 E

a

Qt4

+

2 1722823.892132 #g@%

29 OF 32

30 OF 32

$CCS4 31.77

mm

2."

@g$

597

mm2

!8!

@gmm2



#g@%2

193

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33.55

$

2 75

⁰,

-15

⁰,

15 to 75

⁰,

5

⁰,

2!8225

@gmm2

2,072-2:

#g@%2

7.59

@g$

2713."!

@g$3

7.59

@g$

8-(:= 8-(:=

.724I8

193

er ⁰,

-15

⁰,

-1

⁰,

5

⁰,

.!24I5

.734I8

.184I2

31 OF 32

Ice Loading Effect - Sag tension

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