132kV SAG Calculation

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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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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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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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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STILL WIND CONDITION

Load distribution



+119.7262 kg

+29.7262 kg

+12.7062 kg

-12.7062 kg

-29.7262 kg


-119.7262 kg



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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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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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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FULL WIND CONDITION

Load distribution



+140.8038 kg

+44.0538 kg

+9.5618 kg

-9.5618 kg

-44.0538 kg


-140.8038 kg



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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STILL WIND CONDITION

Load distribution



+110.8228 kg

+20.8228 kg

+3.8028 kg

-3.8028 kg

-20.8228 kg


-110.8228 kg



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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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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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

132kV SAG Calculation

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