132kv sag calculation
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8/10/2019 132kV SAG Calculation
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DOC NO : HZL-BTN-ELE-DS-SY-028
DESIGN INPUT
System Parameters
Bay Location 132kV TRANSFORMER FEEDER
Conductor type & strands SINGLE BEAR ACSR
Initial Tension (Max.) kg (1T per phase)
c/c distance of tower (Maximum Span) mm
Girder Width mm
Tower height mm
Height of the equipment below the conductor mm
Number of Conductors Nos.
Number of Insulator Strings Nos.
Basic Wind Speed m/s (As per IS: 875 -1987,
Part : 3)
Span (c/c tower - lg) mm
Maximum Temperature C (As per Clause 10.2,
IS-802,pageno.9)
Minimum Temperature C
ACSR Conductor
Conductor unit weight kg/mm
Conductor Area mm2
Conductor overall diameter mm
Expansion coefficient of conductor /C
Elasticity modulus kg/mm2
Tension Insulator
Number of discs per string
Weight of each disc kg (As per Vendor drawing)
Weight of hardware kg
Mean Diameter of Insulator mm
Length of each disc mm
Length of hardware mm
Width of the hardware mm
1.1.1 =
SAG TENSION CALCULATION FOR 26.68 m SPAN SINGLE BEAR ACSR - 132kV TRANSFORMER FEEDER
1.0.0
1.1.0
1.1.2
1.1.3
1.1.4
1.1.5
1.1.6
1.1.7
1.1.8
1.1.11
1.1.9
1.1.10
1.2.1
1.2.2
1.1.12
1.1.13
1.2.0
1.2.3
1.2.4
1.2.5
1.3.0
1.3.4
1.3.1
1.3.2
1.3.3
1.3.7
1.3.5
1.3.6
T1
L
Lg
H1
H2
nc
ns
Vb
Ls
To
Tmin
m's
Ac
dc
E
Wd
Wh
nd
750
8000
=
Ld
Lh
di
=
=
=
= 1000
26680=
5955
= 1
= 1
= 47
= 25930
= 85
= 0
= 0.001213
= 325.6
= 23.45
= 1.78E-05
= 8.2E+03
= 12
= 7.5
= 17.02
= 255
= 145
= 750
= 250dh
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DOC NO : HZL-BTN-ELE-DS-SY-028
CALCULATION OF BASIC DESIGN PARAMETERS
Weight of Disc insulator string (Wwi)
Length of the Disc insulator string (L str)
Conductor Chord length (Lc)
DESIGN CALCULTION
Design wind speed (Vd)
Wind zone
Basic wind speed m/s
Reliability level of structure
factor (As per IS 802, Clause 8.2, Pg no:3)
Meteorological wind speed m/s
Risk co efficient
Terrain roughness co efficient
Design wind speed Vrx k1 x k2 34.19 x 1 x 1 m/s
Design Wind pressure (Pd)
Wind pressure on conductor (Pc)
Drag Co efficient for conductor = (As per IS 802, Clause 9.2, Pg no:7)
Gust response factor for 8000mm level = (As per IS 802, Table 7, Pg no:9)
(For reliability level 1, Terrain category 2)
Full wind pressure on conductor,
Wind pressure on Insulator (Pi)
Drag Co efficient for insulator = (As per IS 802, Clause 9.3, Pg no:9)
Gust response factor for level = (As per IS 802, Table 6, Pg no:9)
(For reliability level 1, Terrain category 2)
Full wind pressure on insulator,
34.19
0.0000715 x 1 x 1.66
0.0000715 x 1.2 x 1.864 kg/mm2
kg/mm2
kg/mm20.0000715
0.0001187
1.66
4
47
1
1.375
Vb / k0
1
1
= 34.19
701.38 N/m2 =
=
kg
ndx Ld 12 x 145
Wd x ndx ns = 7.5 x 12 x 1 =
1740
2.0.1
2.0.3
2.0.4
3.0.0
3.1.0
Pdx Cdx Gc =
1
Gc
Cd
=
Cdi 1.2
3.4.0
Vd = =
0.6 x (34.19^2) =
=
k0 =
=k1
Vr
Gci 1.864
2.0.0
Pc =
3.2.0
3.3.0
Wwi = 90
mmLstr = = =
Lc
=
Vb
=
=
(L - Lg) - 2 x (Lstr+ Lh) mm= = = 20950(26680 - 750) - 2 x (1740 + 750)
0.00016=Pi = Pdx Cdix Gci =
Pd = 0.6 x Vd2 =
=
k2
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DOC NO : HZL-BTN-ELE-DS-SY-028
Equivalent weight of Conductor in loaded condition
Full wind load on conductor (Wc)
Equivalent weight of conductor at full wind (W 2)
Equivalent weight of insulator in loaded condition
Full wind load on insu lator (Ws)
(As per IS 802, Clause 9.3, Pg no:9)
Equivalent weight of insulator at full wind (W i2)
Resultant insulator load on each sub conductor (Wi)
Equivalent load of insulator hardware in loaded condition
Full wind load on insulator hardware
Equivalent weight of hardware at full wind (W hT)
Resultant Hardware load on each sub conductor (Whr)
3.5.0
=Wc
3.5.1
3.5.2
0.00279= kg/mm
kg
= 30
=
Pcx dc = 0.0001187 x 23.45
3.6.0
3.6.1
W2 = =
3.7.1
3.6.2
3.6.3
=
/ nc
=
0.00305
0.5 x Pix dix Lstr x ns
m'sc2
+ Wc2 =
W i
kg/mm
=
35.5
Wwi2
+ Ws2
0.5 x 0.00016 x 255 x 1740 x 1
(0.001213^2) + (0.00279^2)
kg(90^2) + (35.5^2) 96.75=
kg
Ws
=
W i2 =
= 96.75 / 1
3.7.0
= 96.75= W i2
3.7.2
Wwh
WhT = Wwh2
+ W2
T
kg
WT = 17.02 x 1 = kg17.02
= Pix dhx Lh =
34.492 kg= (30^2) + (17.02^2)
3.7.3
=Whr = WhT / nc = 34.492 / 1
0.00016 x 250 x 750
34.492 kg
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DOC NO : HZL-BTN-ELE-DS-SY-028
FULL WIND CONDITION
Load distribution
Reaction at each end
Shear f orce diagram
+163.1908 kg
+66.4408 kg
+31.9488 kg
-31.9488 kg
-66.4408 kg
NOTE: LENGTH IN "mm"
-163.1908 kg
Maximum Sag occurs at the centre of the span
Cross force area (Upto maximum sag)
Cross Force moments
kg2mmTS = (S1+ S2+ S3+ S4) x 2 = 32611885.8588
191386.0915 kg2mm
1782017.1633 kg2mm
11584588.1840 kg2mm
2747951.4906 kg2mm
=
=
=
=
141975.996 x 163.1908 x 0.5
82718.796 x 66.4408 x 0.5
11980.8 x 31.9488 x 0.5
167331.84 x 31.9488 / 3
S3 =
S4 =
S1 =
S2 =
4.1.4
kg.mm
kg.mm
kg.mm
kg.mm
141975.996
82718.796
11980.8
167331.840.5 x 31.9488 x 10475
=
=
=
=
4.1.3
=
I4 =
=
I2 =
I1
kg.mmSI1 = 404007.432
163.1908 x 870
66.4408 x 1245
31.9488 x 375I3
4.1.2
870 1245 375 10475
10475
4.0.0
4.1.1
4.1.0
=
1740.0 mm
96.750 kg 96.750 kg34.492 kg 0.003050 kg/mm 34.492 kg
A
= 96.75 + 34.492 + ((0.00305 x 20950)/2) kg
1740.0 mm 750 mm 20950.000 mm
=RA RB
870
163.1908 kg
750 mm
1245375
B
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DOC NO : HZL-BTN-ELE-DS-SY-028
STILL WIND CONDITION
Load distribution
Reaction at each end
Shear f orce diagram
+119.7262 kg
+29.7262 kg
+12.7062 kg
-12.7062 kg
-29.7262 kg
NOTE: LENGTH IN "mm"
-119.7262 kg
Maximum Sag occurs at the centre of the span
Cross force area (Upto maximum sag)
Cross Force moments
14195299.9920 kg2mmTSS = (S1+ S2+ S3+ S4) x 2 =
= 281860.4593 kg2mmS4 = 66548.7225 x 12.7062 / 3
= 30271.4097 kg2mmS3 = 4764.825 x 12.7062 x 0.5
= 550070.2366 kg2mmS2 = 37009.119 x 29.7262 x 0.5
104161.794 x 119.7262 x 0.5 = 6235447.8904 kg2mmS1 =
kg.mm
5.1.4
SI2 = 212484.4605
= 66548.7225 kg.mmI4 = 0.5 x 12.7062 x 10475
12.7062 x 375 = 4764.825 kg.mmI3 =
104161.794 kg.mm
I2 = 29.7262 x 1245 = 37009.119 kg.mm
I1 = 119.7262 x 870 =
5.1.3
870 1245 375 10475
1245 87010475 375
5.1.2
119.7262 kg= 90 + 17.02 + ((0.001213 x 20950)/2) kg == RB
5.0.0
5.1.0
17.020 kg 90.000 kg90.000 kg 17.020 kg 0.001213 kg/mm
A B
1740.0 mm 750 mm 20950.000 mm 750 mm 1740.0 mm
5.1.1
RA
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DOC NO : HZL-BTN-ELE-DS-SY-028
Sag, Tension, Deflectionand Swing for Various Temperatures
Maximum Working Tension
Maximum sag of Lower most conductor
Height of tower
Height of Equipment
Vertical Clearance between lower most
Conductor and equipment
Clearance between phase to phase
for 132kV as per CBIP manual
mm
mm
kg
459.4
6.4.3 H
6.4.7 Since the calculated vertical clearance between Equipment and Lower most conductor is
greater than the minimum clearance between phase to phase, The selected height of tower
8000mm is adequate.
mm
mm
mm
6.4.6= 1300
5955
6.4.5Vclr = 1585.6
6.4.4 h =
= 8000
6.4.2 S =
6.4.1 T = 1000
462.5 459.4 587 365.485 2.1135 1.4204 688.2
470.4 451.7 577.6 36080 2.1482 1.4448 699.5
478.8 443.8 568 354.575 2.1846 1.4705 711.3
487.6 435.8 558.3 34970 2.2226 1.4976 723.7
496.9 427.6 548.4 343.465 2.2627 1.5261 736.7
506.7 419.3 538.3 337.660 2.3049 1.5563 750.5
326
2.3494 1.5882 765 517.1 410.9 528.1 331.7
393.6 507.2 319.9
50 2.3963 1.6221 780.2 528.2 402.3 517.8
2.4461 1.6581 796.5 539.9
308.1
2.4987 1.6966 813.6 552.4 384.7 496.6 314
366.3 474.6 301.8
35 2.5548 1.7376 831.8 565.8 375.5 485.7
2.6143 1.7816 851.2 580.1
289.4
2.6779 1.8289 871.9 595.5 356.8 463.4 295.7
337.3 440.2 282.9
20 2.7459 1.8799 894.1 612.1 347.1 451.9
2.8187 1.935 917.8 630
269.9
2.897 1.995 943.3 649.6 327.1 428.3 276.5
306.1 404 263.7
5 2.9813 2.0601 970.7 670.8 316.8 416.2
3.0713 2.1319 1000 694.1
Tfull(kg) Sag (mm)Deflection
(mm)
Swing
(mm)
Temp
c
(Full wind)
kg/mm2
(Still wind)
kg/mm2 Tstill(kg)
10
25
40
0
55
6.4.0
45
15
30
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DOC NO : HZL-BTN-ELE-DS-SY-028
DESIGN INPUT
System Parameters
Bay Location 132kV BUS
Conductor type & strands SINGLE BEAR ACSR
Initial Tension (Max.) kg (1T per phase)
c/c distance of tower (Maximum Span) mm
Girder Width mm
Tower height mm
Height of the equipment below the conductor mm
Number of Conductors Nos.
Number of Insulator Strings Nos.
Basic Wind Speed m/s (As per IS: 875 -1987,
Part : 3)
Span (c/c tower - lg) mm
Maximum Temperature C (As per Clause 10.2,
IS-802,pageno.9)
Minimum Temperature C
ACSR Conductor
Conductor unit weight kg/mm
Conductor Area mm2
Conductor overall diameter mm
Expansion coefficient of conductor /C
Elasticity modulus kg/mm2
Tension Insulator
Number of discs per string
Weight of each disc kg (As per Vendor drawing)
Weight of hardware kg
Mean Diameter of Insulator mm
Length of each disc mm
Length of hardware mm
Width of the hardware mm250dh =
= 750
= 145
= 255
= 17.02
= 7.5
= 12
= 8.2E+03
= 1.78E-05
= 23.45
= 325.6
= 0.001213
= 0
= 85
= 11250
= 47
= 1
5050
= 1
= 1000
12000=
Lh
di
=
=
=
750
8000
=
Ld
Wd
Wh
nd
E
Ac
dc
m's
To
Tmin
Vb
Ls
nc
ns
H1
H2
T1
L
Lg
1.3.3
1.3.7
1.3.5
1.3.6
1.3.4
1.3.1
1.3.2
1.2.5
1.3.0
1.2.3
1.2.4
1.2.1
1.2.2
1.1.12
1.1.13
1.2.0
1.1.11
1.1.9
1.1.10
1.1.7
1.1.8
1.1.5
1.1.6
1.1.3
1.1.4
1.1.0
1.1.2
SAG TENSION CALCULATION FOR 12 m SPAN SINGLE BEAR ACSR - 132kV BUS
1.0.0
1.1.1 =
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DOC NO : HZL-BTN-ELE-DS-SY-028
FULL WIND CONDITION
Load distribution
Reaction at each end
Shear f orce diagram
+140.8038 kg
+44.0538 kg
+9.5618 kg
-9.5618 kg
-44.0538 kg
NOTE: LENGTH IN "mm"
-140.8038 kg
Maximum Sag occurs at the centre of the span
Cross force area (Upto maximum sag)
Cross Force moments
870
140.8038 kg
750 mm
1245375
BA
= 96.75 + 34.492 + ((0.00305 x 6270)/2) kg
1740.0 mm 750 mm 6270.000 mm
=RA RB
96.750 kg 96.750 kg34.492 kg 0.003050 kg/mm 34.492 kg
=
1740.0 mm
4.1.0
4.1.1
4.0.0
3135
3135870 1245 375
4.1.2
I3
I1
kg.mmSI1 = 195920.0835
140.8038 x 870
44.0538 x 1245
9.5618 x 375
4.1.3
=
I4 =
=
I2 =
0.5 x 9.5618 x 3135
=
=
=
=
122499.306
54846.981
3585.675
14988.1215
kg.mm
kg.mm
kg.mm
kg.mm
4.1.4
S1 =
S2 =
S3 =
S4 =
122499.306 x 140.8038 x 0.5
54846.981 x 44.0538 x 0.5
3585.675 x 9.5618 x 0.5
14988.1215 x 9.5618 / 3
=
=
=
=
8624183.8911 kg2mm
1208108.9658 kg2mm
17142.7536 kg2mm
47771.1401 kg2mm
kg2mmTS = (S1+ S2+ S3+ S4) x 2 = 19794413.5012
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DOC NO : HZL-BTN-ELE-DS-SY-028
STILL WIND CONDITION
Load distribution
Reaction at each end
Shear f orce diagram
+110.8228 kg
+20.8228 kg
+3.8028 kg
-3.8028 kg
-20.8228 kg
NOTE: LENGTH IN "mm"
-110.8228 kg
Maximum Sag occurs at the centre of the span
Cross force area (Upto maximum sag)
Cross Force moments
5.1.1
RA
6270.000 mm 750 mm 1740.0 mm1740.0 mm 750 mm
A B
17.020 kg 90.000 kg90.000 kg 17.020 kg 0.001213 kg/mm
5.0.0
5.1.0
110.8228 kg= 90 + 17.02 + ((0.001213 x 6270)/2) kg == RB
5.1.2
3135 375 1245 870
870 1245 375 3135
5.1.3
I1 = 110.8228 x 870 = 96415.836 kg.mm
I2 = 20.8228 x 1245 = 25924.386 kg.mm
I3 = 3.8028 x 375 = 1426.05 kg.mm
= 5960.889 kg.mmI4 = 0.5 x 3.8028 x 3135
kg.mm
5.1.4
SI2 = 129727.161
S1 = 96415.836 x 110.8228 x 0.5 = 5342536.4549 kg2mm
= 269909.1524 kg2mmS2 = 25924.386 x 20.8228 x 0.5
= 2711.4915 kg2mmS3 = 1426.05 x 3.8028 x 0.5
= 7556.0229 kg2mmS4 = 5960.889 x 3.8028 / 3
11245426.2434 kg2mmTSS = (S1+ S2+ S3+ S4) x 2 =
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DOC NO : HZL-BTN-ELE-DS-SY-028
EVALUATION OF SAG AND DEFLECTION AT ANY TEMPERATURE
Sag at any temperature
Final Stress at any temperature
Where
k /mm2
kg2mm
kg2mm
Sag at any Temperature (S)
where, is the final stress at still wind condition for a given temperature
Deflection at any temperature
Final Stress at any temperature
Where
kg/mm2
k2mm
Deflection at any Temperature (D)
where, is the final stress at full wind condition for a given temperature
Conductor Swing at any temperature (Swg)
6.0.0
6.1.0
6.1.1
6.1.2
= kg/mm2
Ac2x Lsx 1
2Ac
2x Ls
1 = 3.07125
E x SM1 E x SM2
2
x (-1) + + E x (T1-To)
TS = 19794413.5012SM1 =
SM2 = TSS =
S = SI2/ Tstill mm
Tstill = x A kg
6.2.0
6.2.1
E x SM1 E x SM1
2x (-1) + + E x (T1-To) =
Ac2x Lsx 1
2Ac
2x Ls
1
SM1 = 19794413.5012
kg/mm2
11245426.2434
= 3.07125
TS =
SI2/ Tfull
6.2.2
6.3.0
= mmD2- S
2Swg
mm
= x A kgTfull
D =
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DOC NO : HZL-BTN-ELE-DS-SY-028
Sag, Tension, Deflectionand Swing for Various Temperatures
Maximum Working Tension
Maximum sag of Lower most conductor
Height of tower
Height of Equipment
Vertical Clearance between lower most
Conductor and equipment
Clearance between phase to phase
for 132kV as per CBIP manual
30
55
6.4.0
45
15
Tstill(kg)
10
25
40
0
Temp
c
(Full wind)
kg/mm2
(Still wind)
kg/mm2 Tfull(kg) Sag (mm)
Deflection
(mm)
Swing
(mm)
3.0713 2.3757 1000 773.5 167.7 195.9 101.3
5 3.004 2.3191 978.1 755.1 171.8 200.3 103
2.9399 2.2665 957.2 738 175.8 204.7 104.9
2.8794 2.2169 937.5 721.8 179.7 209 106.7
20 2.8221 2.1704 918.9 706.7 183.6 213.2 108.4
2.7679 2.1264 901.2 692.4 187.4 217.4 110.2
2.7165 2.085 884.5 678.9 191.1 221.5 112
35 2.6677 2.0457 868.6 666.1 194.8 225.6 113.8
2.6212 2.0084 853.5 653.9 198.4 229.5 115.4
2.577 1.973 839.1 642.4 201.9 233.5 117.3
50 2.5348 1.9393 825.3 631.4 205.5 237.4
2.4945 1.9073 812.2 621
60 2.456 1.8767 799.7 611.1 212.3 245 122.3
65 2.4191 1.8475 787.7 601.5 215.7 248.7 123.8
70 2.3838 1.8196 776.2 592.5 218.9 252.4 125.7
75 2.3499 1.7928 765.1 583.7 222.2 256.1 127.3
225.5 259.7 128.880 2.3173 1.7672 754.5
85 2.2861 1.7426 744.4
= 8000
6.4.2 S =
6.4.3 H
6.4.4 h =
= 1300
5050
6.4.5Vclr = 2721.4
6.4.6
6.4.7 Since the calculated vertical clearance between Equipment and Lower most conductor is
greater than the minimum clearance between phase to phase, The selected height of tower
8000mm is adequate.
mm
mm
mm
228.6
6.4.1 T = 1000
567.4 228.6 130.4
118.9
208.9 241.2 120.6
575.4
mm
mm
kg
263.2
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