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 2gconductor. The maimum 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
.928
1.5795
172!82.25
13.
2
-1
29157"3."313"591
17".!988
.9257
1.5879
1722823.892132
128.
3
-5
29"3.73"""983
1731.5"1
.93!
1.59!3
1719583.823832!
12!.
"
2885298.198388!
1722.523
.9355
1.!"7
171!3!1.8817292
12".
5
5
287"21.331!379
1713.!"1"
.9""
1.!13
1713157.89"25812
122.
!
1
28557!!.!""825
17".8927
.9"52
1.!213
179971.!978!237
12.
7
15
28"1329.!23"75"3
1!9!.2738
.95
1.!295
17!83.128"835
118.
8
2
28271".7"287"3"
1!87.7815
.95"8
1.!377
173!52.2"8591
117.
9
25
28138!.9"553"57
1!79."129
.9595
1.!"59
17518.2275!!51
115.
1
3
2799271.3393!22
1!71.1!5
.9!"3
1.!5"
1!97"1.579521"3
113.
11
35
2785!53.1917!97
1!!3.35
.9!9
1.!!21
1!9"31.925"132"
111.
12
"
2772227.9153!!!
1!55.21
.9737
1.!71
1!91219.11193897
19.
13
"5
2758991.77"9223
1!"7.1177
.9783
1.!781
1!88152.987718!1
17
1"
5
27"5938.3798!8
1!39.3252
.983
1.!8!1
1!8513."32!"37
1!.
15
55
2733!5.!5!5273!
1!31.!"2
.987!
1.!9"1
1!827.2195"
1".
1!
!
2723!8.8757877
1!2".!2
.9922
1.72
1!7953.2!"98319
12
17
!5
2778"".1238173
1!1!.5829
.99!8
1.798
1!7!52."2137252
1.
18
7
2!95"87.!181933
1!9.2!1
1.1"
1.7177
1!73!7.5379295
998.
19
75
2!83295.!58!!551
1!1.9275
1.59
1.7255
1!798."7"1588
997.
S#$$%&' 1
$aimum woring tension *er conductor
T
+
2
$aimum sag of ,onductor
S
+
3
eight of ac /us le0el taing
+
"
eight of eui*ment /us
5
ertical ,learance /etween lower most conductor 4ui*ment
!
$inimum clearance /etween *hase to *hase for 22 as *er ,6 $anual
+ clr
+ +
Since the calculated 0ertical clearance /etween 4ui*ment and >ower most conductor is greater than the minimum clearance /etween *hase to *hase; T adeuate.
5 OF 32
Full Wind Condition Temp Vs Tension & Sag g k n 1800 o i s n 1750 e T
1.02 1.00 0.98
1700
0.96
1650
0.94 0.92
1600
0.90 1550
0.88
1500
0.86 -15
-10
-5
0
5
10
15
20
25 30 35 Temp Deg C
40
45
50
55
60
65
70
75
Still Air Condition Temp Vs Tension & Sa g g k n 1040 o i s n 1030 e T
0.9 0.9 0.9 0.9 0.8 0.8 0.8 0.8 0.8 0.8 0.8
1020 1010 1000 990 980 -15
-10
-5
0
5
10
15
20
25 30 35 Temp Deg C
6 OF 32
40
45
50
55
60
65
70
75
7 OF 32
,) ./ig.t
ion at still air condition for 0arious are calculated and ta/ulated.
ension (g) till air
S%: %T ST6>> ?ind ($)
"7113315
.88!
5258!2"55!
.8822
5915"282!7
.8839
!!8"35
.885!
7552!28721
.8872
85313!238
.8889
9!1"!77"7
.895
8258891
.8922
293818572
.8938
3"87"297"3
.8955
"982"9"717
.8971
!5789827!
.8987
.827333!!8
.9"
!7317"88
.92
195915937"
.93!
.39"799195
.952
!3295559"
.9!9
21321281
.985
"8789"12
.911
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)
6S82( artlSec 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 INO!%ATION
?6AD ECA4
2 /
%S6, ?6AD S44D
+
39
T4&&%6A ,%T4:C&'
2
&4>6%6>6T' >44>
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 4cluding :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
$aimum Tem*erature ,onsidered
T1
+
75
$inimum Tem*erature ,onsidered
T
+
-15
Basic Infor)ation
Tem*erature &ange Taen
-15 to 75 6T
$aimum 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
$odulus 4lasticit< of ,onductor
4s
+
!8!
,o-efficient of Thermal 4*ansion
4t
+
.193
11 OF 32
4
CALCULATION O! NO- O S4ACE!S
S*acer S*an Aos. of S*acers
=
>s
+
2.5
As
+
(>3 >s )
+
13
?eight of 4ach S*acer
?s
+
2
S*acing etween Su/-,onductor
SS
+
.25
?1
+
?c I((As ?s ) (>3
+
2.""
Loa1ing on Con1uctor
?eight of ,onductor including S*acers *er #nit >ength
Eff/ct of I c/ Loa1ing on Con1uctor
&adius of ,onductor
r
+
.159
Thicness of 6ce (%s *er Section roHect; ,l. ".2.2; g. 2)
t
+
.15
+
.22
+
.917
+
917
+
2.2"
+
135.57
+
32
olume of 6ce er unit >ength
{( r + t ) ^2− r ^2 }∗1
π
+
Dice
Densit< of 6ce
?ice
?eight of ice er #nit >ength of ,onductor
+
Densit< of ice ol. of 6ce er unit >ength ?ice-conductor
?eight of ice on ,onductor cosidering ice loading effect
Eff/ct of Ic/ Loa1ing on S*ac/r
Diameter of %ial >ength in S*acer &adius of %ial >ength in S*acer
r
+
.1!
Thicness of 6ce (%s *er Section roHect; ,l. ".2.2; g. 2)
t
+
.15
+
.22
+
.917
+
917
+
2.33
+
.25
Tota A5ia L/ngt.
+
3.355
?eight of S*acer cosidering ice loading effect
+
!.81
Aet ?eight of ice on ,onductor including S*acers considering 6ce >oading 4ffect
+
1"2.38
+
2.29
olume of 6ce er unit >ength
{( r + t ) ^2− r ^2 }∗1
π
+
Dice
Densit< of 6ce
?ice
?eight of ice er #nit >ength on S*acer
+
Densit< of ice ol. of 6ce er unit >ength ?ice-s*acer
%ial >ength of S*acer is a**ro. same as Su/ ,onductor S*acing ence %ial >ength of S*acer Ao. of S*acers
13
?eight of 6,4 CA ,onductor including S*acers considering 6ce >oading 4ffect *er #nit >ength
?2
Eff/ct of Win1 Loa1ing on Con1uctor
roHected %rea *er unit >ength on which ?ind is %cting
+(rIt).1 S.$
+ +
c
+
99."!
?ind >oading er #nit >ength
?3
+
!.1!!7
!/sutant Loa1 on Con1uctor
?"
+
SrtK(?1 I?2)2I?32
?"
+
7.59
+
1.715
?ind ressure Cn ,onductor ,d
+
1
J
:c
+
2.21
K%s er 6S 82 - Ta/le-7L
S6AM
:
.31
c
d N ,d N :c
Loa1ing on Insuator
>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
+
.5NinsN>insNDinsNAins
W=
Tota W/ig.t of Insuator
Eff/ct of Ic/ Loa1ing on Insuator String
&adius of >ong &od 6nsulator Thicness 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 Insuator String
?ind ressure Cn 6nsulator String ,d
+
1.2
J
:c
+
2.15
K%s er 6S 82 - Ta/le !L
Win1 on Insuator String
!/sutant Loa1 on Insuator String
d N ,d N :c
6
8,-'9
?8
+
SrtK(?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 thicness of Stringing ardware Thicness 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
+
2.15
K%s er 6S 82 - Ta/le !L
?
?idth of ardware Win1 on Stringing ;ar1
!/sutant Loa1 on Stringing ;ar1
6)
ULL WIN LOA CONITION$LOA IST!IBUTION
>C%D D6ST&6#T6CA
13 OF 32
+
d N ,d N :c 12".28
.25
?11
SN>2N?
+
W((
6
2'-7,
?12
+
SrtK(?9 I?1)2I?1
W(2
6
89-(2(
S4%& =C&,4 D6%:&%$
!EACTION AT EAC; EN
!
?8 I?12 I12(>3 N?") 225.3
I(
TOTAL C!OSS O!CE A!EA U4TO %A3 SAG
&N>12 2"5.2
I2
(&-?8)N(>12 I >22) 2"7.58
I8
(&-?8-?12)N(>22) 5.93
I'
(&-?8-? 12)N(12 N >32) 1!7.91
TOTAL ELECTION at 0⁰ C AT WIN LOA CONITION
TCA
1!11.""
WL
T,=% 6T .928
14 OF 32
66)
STILL WIN LOA CONITION$LOA IST!IBUTION
>C%D D6ST&6#T6CA
S4%& =C&,4 D6%:&%$
! 0
!EACTION AT EAC; EN & STILL AI! CONITION+
((?5I?!)2)I((? 9I?1)2)I((12)N(? 1I?2)N>3) 112."3
I0(
TOTAL C!OSS O!CE A!EA U4TO %A3 SAG
& N>12 122.2!
I02
(& - (?5I?!)2)N(>12I>22) 132.88
I08
(& - (?5I?!)2) - ((?9I?1)2))N(>22) 29.!9
I0'
(& - (?5I?!)2) - ((?9I?1)2))N(12)N(>32) !22.58
T0CA
TOTAL
15 OF 32
97."1
$Sec
$
A$2
$Sec $Sec
$Sec A$2 @g$2
$ $ $ $ $ $
⁰, ⁰, ⁰,
@g at ⁰ ,
mm @g$ mm2 @gmm2 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 CONITION > ICE LOAING EECT
%
Con1uctor ata
T<*e of ,onductor
%,S&
Diameter of ,onductor
Dc
+
?eight of ,onductor
?c
+
%rea of ,ross Section of ,onductor
%c
+
$odulus 4lasticit< of ,onductor
4s
+ +
!8 .
,o-efficient of Thermal 4*ansion
4t
+
>ength Cf %,S& ,onductor
>3
+
Ao. of ,onductor er hase
A
+
$aimum Tem*erature ,onsidered
T1
+
$inimum Tem*erature ,onsidered
T
+
Tem*erature &ange Taen
-
Tem*erature Difference
Δt
=
$aimum 6nitial Tension (%s er Technical S*ecification; %nne. - D)
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 euation
3
2
f 2 f 2 N M −
?here; +
1
/
+
-5.814I7
c
+
d
+
5.184I2
−
=
0
Cn Sol0ing the a/o0e cu/ic euation 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!
@gmm2
#g@%2
193
er ⁰,
33.55
$
2 75
⁰,
-15
⁰,
15 to 75
⁰,
5
⁰,
175
@g at ⁰ ,
3132328
@gmm2
8(828-27
#g@%2
7.59
@g$
2713."!
@g$ 3
7.59
@g$
8-(:= 8-(:=
.7"4I7
193
er ⁰,
-15
⁰,
-1
⁰,
5
⁰,
.!24I5
.814I7
.184I2
23 OF 32
24 OF 32
INITIAL ST!ESS CALCULATION AT Stan1 Sti Air CONITION > ICE LOAING EECT
%
Con1uctor ata
T<*e of ,onductor
%,S&
Diameter of ,onductor
Dc
+
?eight of ,onductor
?c
+
%rea of ,ross Section of ,onductor
%c
+
$odulus 4lasticit< of ,onductor
4s
+ +
!8 .
,o-efficient of Thermal 4*ansion
4t
+
>ength Cf %,S& ,onductor
>3
+
Ao. of ,onductor er hase
A
+
Tem*erature Difference
Δt
=
$aimum 6nitial Tension (%s er Technical S*ecification; %nne. - D)
6T
+
?ind *ressure at Oero Deg celcius
f 1
+
2.
f (
6
29
?1
6
δ
+
?"
+
?(
6
?2
6
@
+
-5
Q
+
.
?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)
6,4 onl<
2
K
+
f 1
−
2
1
2
l δ q 1 E 2
24 f 1
Q
,oefficient of linear e*ansion *er deg ,
t
Tem*erature difference + ( t2 - t1 )
A +
+
@ - Qt4
2
M
=
2
24
3
40aluation of f 2 from the cu/ic euation
2
f 2 f 2 N M −
?here; +
1
/
+
-5.7"4I7
c
+
d
+
1.7!4I2
−
=
0
Cn Sol0ing the a/o0e cu/ic euation we get f 2 f 2
+
A
+
-5
$
+
1
2
l δ q 2 E
a
Qt4
+
2 172!82.258!19 #g@%
25 OF 32
26 OF 32
$CCS4 31.77
mm
2."
@g$
597
mm2
!8!
@gmm2
#g@%2
193
er ⁰,
33.55
$
2
0
⁰,
175
@g at ⁰ ,
3132328
@gmm2
8(828-27
#g@%2
7.59
@g$
2713."!
@g$3
7.59
@g$
8-(:= (-7'0
.7"4I7
193
er ⁰, ⁰,
.4I
.7"4I7
.7!4I2
27 OF 32
28 OF 32
TENSION CALCULATION AT Stan1 Sti Air CONITION > ICE LOAING EECT
%
Con1uctor ata
T<*e of ,onductor
%,S&
Diameter of ,onductor
Dc
+
?eight of ,onductor
?c
+
%rea of ,ross Section of ,onductor
%c
+
$odulus 4lasticit< of ,onductor
4s
+ +
!8 .
,o-efficient of Thermal 4*ansion
4t
+
>ength Cf %,S& ,onductor
>3
+
Ao. of ,onductor er hase
A
+
$aimum Tem*erature ,onsidered
T1
+
$inimum Tem*erature ,onsidered
T
+
Tem*erature &ange Taen
-
Tem*erature Difference
Δt
=
$aimum 6nitial Tension (%s er Technical S*ecification; %nne. - D)
6T
+
?ind *ressure at Oero Deg celcius
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
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 Stand Still %ir
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 + ( t2 - t1 )
t
A +
+
@ - Qt4
2
M
=
2
24
3
40aluation of f 2 from the cu/ic euation
2
f 2 f 2 N M −
?here; +
1
/
+
-1.734I8
c
+
d
+
5.184I2
−
=
0
Cn Sol0ing the a/o0e cu/ic euation we get f 2 f 2
+
!
A
+
-1
$
+
5
2
l δ q 2 E
a
Qt4
+
2 1722823.892132 #g@%
29 OF 32
30 OF 32
$CCS4 31.77
mm
2."
@g$
597
mm2
!8!
@gmm2
#g@%2
193
er ⁰,
33.55
$
2 75
⁰,
-15
⁰,
15 to 75
⁰,
5
⁰,
2!8225
@gmm2
2,072-2:
#g@%2
7.59
@g$
2713."!
@g$3
7.59
@g$
8-(:= 8-(:=
.724I8
193
er ⁰,
-15
⁰,
-1
⁰,
5
⁰,
.!24I5
.734I8
.184I2
31 OF 32