758Analysis and Design of Multi Circuit Transmission Line Tower PDF
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International Journal of Emerging Technology in Computer Science & Electronics (IJETCSE)
ISSN: 0976-1353 Volume 13 Issue 1 –MARCH 2015.
56
Analysis and Design of Multi Circuit Transmission
Line Tower
Sakthivel. T#1
and Sanjeevi. R*2
# * (Civil Engineering): dept. Easwari Eng. College, Ramapuram, Chennai – 600 089, India
Abstract— Due to rapid urbanization and space constraints
narrow base towers provide an alternative solution to
conventional broad based towers. A narrow base 200 KV multi
circuit tower is analysed using STADD.PRO. The choice of tower
is made based on the available right of way. As per IS 5613 (Part
2/Sec 2) the required right of way for a 220 KV broad base toweris 35 m. But when adequate right of way is not available the base
width of the tower is constrained. There is no standard of
specification or limit up to which the tower acts as broad base or
narrow base tower. The tower is considered as narrow base when
its width is constrained. The tower is in Mumbai. It is a four
circuit double peak tower and consists of 2 earth wires, 12 cross
arms (6 box cross arms on one side and 6 triangular cross arms
on the other side of the tower). It is a dead end tower with
deviation of 0º - 15º. Since it is a dead end tower could also be an
angle tower. The narrow base tower is also an angle tower with
deviation of 30º-60º. The design wind pressure for the tower is 757
N/m². The maximum sag of the conductor is 9.626 m. The
maximum sag of the conductor occurs at maximum temperature
and nil wind. The transverse loads, vertical loads and thelongitudinal loads on the towers are calculated for reliability
condition, security condition, and safety condition. The electrical
clearance diagram for the tower is drawn using AUTOCAD. The
height of the tower is 56.335 m, and its width at plinth level at a
body extension of 6 meter is 7.343 m. The entire tower is
separated into 9 blocks. The tower is separated into panels
consisting of A-Pattern, X-Pattern, bracings, and leg members.
The body wind is calculated based on the boundary area and the
projected area, and it acts at 10 wind points in the longitudinal
face of the tower. The tower is designed based on IS 802 (Part 1/
Sec2).
Index Terms—Transmission Line Tower; Narrow Base
Tower; Angle Tower; Sag and tension; Body Wind Calculation
I. INTRODUCTION
Electric power plays an important role in the life of the
community and development of various sectors of economy. In
India, high priority is given to power development programs.
Transmission line (TL) structures support the phase conductors
and shield wires of a transmission line. Due to rapidurbanization and space constraints, narrow base structures
provide solution as an alternative approach to conventional
broad based towers. The tower is designed as angle tower and
also dead end tower.
Fig. 1 Dead End Tower
TABLE I PROPERTIES OF CONDUCTOR
Material All Aluminum AlloyConductor (AAAC)
Units
Standing
(Aluminium/Steel) 61/3.31
Diameter 29.79 mm
Cross Sectional Area 5.25 cm²
Ultimate Tensile
Strength 14603 kg
Unit Weight 1.448 kg/m
Modulus of Elasticity 550800 kgf/cm²
Coefficient of LinearExpansion 2.30E-05 /°C
Wind Span 350 m
W/A 0.2758 kg/m/cm²
TABLE II PROPERTIES OF GROUND WIRE
Material Units
Standing
(Aluminium/Steel) 7/3.15
Diameter 9.45 mm
Cross Sectional Area 0.5455 cm²
Ultimate Tensile
Strength 5710 kg
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ISSN: 0976-1353 Volume 13 Issue 1 –MARCH 2015.
57
Unit Weight 0.43 kg/m
Modulus of Elasticity 1933000 kgf/cm²
Coefficient of LinearExpansion 0.0000115 /°C
Wind Span 350 m
W/A 0.788267644 kg/m/cm²
TABLE III PROPERTIES OF INSULATOR
Single Tension Insulator Details Units
Number of Insulator (Single
Tension Insulator) 2
Length of Insulator 3.416 m
Diameter of Insulator 0.305 m
Weight of Insulator (Maximum) 150 Kg
Weight of Insulator (Minimum) 150 Kg
Number of Pilot Insulator
Required 1
Length of Pilot Insulator 2.500 m
Diameter of Pilot Insulator 0.280 m
Weight of Pilot Insulator
(Maximum) 150
Kg
Weight of Pilot Insulator(Minimum) 150 Kg
Coefficient for Insulator Wind
Pressure 0.50
Factor for Unbalanced Tension 0.0
II. DETERMINATION OF WIND PRESURE
The wind intensity is lower at the ground level and the air flowis turbulent because of friction with the rough surfaces of theground. The basic wind speed map of India is applicable at 10m height above mean ground level for the six wind zones ofthe country. The basic wind speed Vb is 44 m/s. themeteorological wind speed VR is 32 m/s. Vd = VR x K1 x K2.Pd = 0.6 Vd². Pd = design wind pressure in N/m2. The designwind pressure is Pd = 757 N/m².
III. SAG AND TENSION
The sag is calculated for various temperature and wind
pressure conditions. It could be calculated by catenary method
or by parabolic method. The parabolic method of sag and
tension calculation is followed in IS: 5613 (Part 2/Sec 1). The
sag and tension are determined for the following temperature
and wind pressure combinations,
• Everyday temperature and nil wind
• Everyday temperature and full wind
• Maximum temperature and nil wind
• Minimum temperature and 36 % of full wind
• Minimum temperature and nil wind
The maximum temperature of all aluminum alloy conductor is
85º (Clause 10.2.4, IS: 802 (Part 1/Sec 1). The maximum
temperature of the ground wire is 53º (Clause 10.2.4, IS: 802
(Part 1/Sec 1).
The maximum sag of the conductor occurs at maximumtemperature and nil wind
TABLE IV SAG AND TENSION OF CONDUCTOR
Tem
p º C
Wind
Pressure
(kg/m2)
Tension
(Kg)
Factor of
Safety
(Required)
Factor
of
Safety
(Actual)
Vertical
Sag
(m)
Tension
%
0 0 4030.11 1.4285 3.62 5.50 27.60
32 0 3138.37 4.5454 4.65 7.06 21.49
32 175.22 7564.48 1.4285 1.93 2.93 51.8085 0 2303.50 1.4285 6.34 9.626 15.77
0 63.08 5198.40 1.4285 2.81 4.27 35.60
IV. LOAD CONDITIONS
The tower is designed as dead end and angle tower. The loads
acting on the tower are considered for the following loading
conditions, for angle tower (30º-60º) and for dead end tower
(0º-15º).
• 30º deviation reliability condition
• 30º deviation security condition – Loads for intact
spans
•
30º deviation security condition – Loads for brokenspans
• 30º deviation safety normal condition
• 30º deviation safety broken condition – Loads for
intact spans
• 30º deviation safety broken condition – Loads forbroken spans
• 30º deviation anticascading condition
• 60º deviation reliability condition
• 60º deviation security condition – Loads for intact
spans
• 60º deviation security condition – Loads for broken
spans
• 60º deviation safety normal condition
• 60º deviation safety broken condition – Loads for
intact spans
• 60º deviation safety broken condition – Loads forbroken spans
• 60º deviation anticascading condition
• 0º deviation reliability condition
• 0º deviation security condition – Loads for intact
spans
• 0º deviation safety normal condition
• 15º deviation reliability condition
• 15º deviation security condition – Loads for intact
spans• 15º deviation safety normal condition
V. ELECTRICAL CLEARANCES
The design of transmission line towers are classified into
structural design and electrical design. The electrical clearance
forms the electrical design of transmission line tower. As per
clause 13.1 of IS 5613 (Part 2/Sec 1) a minimum ground
clearance of 7 meter is provided. As per clause 7.3.2 the
vertical spacing between conductors is a minimum of 4.9
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International Journal of Emerging Technology in Computer Science & Electronics (IJETCSE)
ISSN: 0976-1353 Volume 13 Issue 1 –MARCH 2015.
58
meter. As per clause 13.2 the mid span clearance between earth
wire and power conductor is 8.5 m.
Fig. 2 Electrical Clearance Diagram
VI. STAAD.PRO MODELLING OF NARROW BASE TOWER
The tower is modelled using Staad.Pro. During the modelling
phase the tower is separated into various blocks for the ease of
analysis and design. The blocks comprise of bracings of A-
Pattern, X-Pattern and V-Pattern. A sample panel with A-Pattern is shown in the following figure.
Fig. 3(a) Panel of Tower Fig. 3(b) Tower Model
Fig. 4 Sample Loading Tree
VII. GENERATION OF LOADING TREE
The lengths of the members are identified from the towermodel. The broken wire conditions are identified. Either earth
wire or one conductor could be broken in a phase or two
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International Journal of Emerging Technology in Computer Science & Electronics (IJETCSE)
ISSN: 0976-1353 Volume 13 Issue 1 –MARCH 2015.
59
conductors and an earth wire can be broken as per clause 16 of
IS 802 (Part 1/Sec 1). The sample loading tree is shown in the
following figure.
VIII. BODY WIND CALCULATION OF TOWER
Trial sections are assigned to the generated model.
The projected area and the boundary area of the tower arecalculated. Then the body wind is determined on 10 wind
points in the tower. Then the wind load is obtained. The body
wind is applied in the longitudinal face of the tower.
TABLE V BODY WIND ON TOWER
Wind
Point
(kg/m2)
Body
Wind
(Kg)
10 560
9 2961
8 1994
7 1996
6 2086
5 2270
4 2543
3 3076
2 2716
1 969
IX. LOAD CASES AND COMBINATIONS
The load combinations and combination load cases
are assigned and the tower is analysed. Then the forces are
obtained and grouping of forces is done.
Fig. 5 Load Case Details
X. PRIMARY DESIGN OF TOWER
The tower is designed based on IS 802(Part 1/Sec 2). Trial
sections are assigned.
As per clause 6.3 of IS 802 (Part 1/Sec 2) the limiting
slenderness ratio is 120 for leg members, ground wire peak
member, and lower members of cross arms in compression;
and for other members except redundant members the limiting
slenderness ratio is 200, and for redundant members the
limiting slenderness ratio is 250. The total weight of the tower
without redundant member is 51667.84 Kg.Star angle and quadruple plate angle sections are used for legmembers. Double angle sections are used for bracings
subjected to more forces. Single angle sections are used for
belt members.
The factor of safety provided for leg members is 1.01-1.1. The
factor of safety provided for bracings and belt members vary
from 1.2-1.3. The factor of safety for the cross arm bottommembers is 1.3-1.4.
The sections used for leg members are 150x150x20 QL,
150x150x16 QL, 200x200x25 star angle, 200x200x20 star
angle, 200x200x16 star angle, 150x150x20 star angle, and
150x150x12 star angle.
The various members used for bracings are 150x150x10 DL,130x130x10 DL, 120x120x10 L, 100x100x10 L, and
100x100x8 L.
The various members used for belt and plan-x-bracing are
100x100x10 L, 100x100x8 L, 80x80x6 L, 70x70x6 L.
High tensile steel of fy=350 N/mm² is used for leg members,
top cross arm and bottom cross arm members. Mild steel of
fy=250 N/mm² is used for belt, bracings.
The leg members are split into maximum of 3 rvv. The belt
members are split into maximum of 3 rvv. Very few bracings
are split to 4 rvv in order to maintain the slenderness ratio and
produce effective members.
XI. DESIGN OF TOWER
In order to validate the design, the tower is analyzed and
designed using STADD.PRO. The total weight of the tower
obtained using STADD.PRO is 48784.76 Kg. Since the result
shows that the tower weight could be reduced further. Hence,
the body wind is calculated. Then the body wind is applied on
the tower and the maximum compression and tension forces
acting on the tower are obtained. The weight of the tower
obtained by optimizing the angle section is 48608 Kg.
XII. INTERPRETATION OF RESULT
The maximum displacement is experienced by the dead endtower for 0º condition. Since the dead end tower will be
located in the substation it may not be a narrow base tower,
however if the due to space constraints if the dead end tower is
supposed to be a narrow base tower then the dead end tower’s
safety should be given more importance than the economy.
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Fig. 6 Displacement of the Tower for Critical Load Combination
XIII. GRAPHICAL REPRESENTATION OF MOMENT, FORCE AND
DISPLACEMENT
The graph of moment, force, and displacement is shown in the
following figure.
0.70
0.70
0.70
0.70
1.40
1.40
1.40
1.40
2 4 66.03
1 50
1.22
-0.688
2.51
Mz(kNm)
Fig. 7 Moment of Beam 1 (Leg Member)
50
50
50
50
100
100
100
100
150
150
150
150
2 4 66.03
1 5
62.6
-104
Fy(kg)
Fig. 8 Vertical Force along Y axis for Beam 1 (Leg Member)
10000
10000
10000
10000
20000
20000
20000
20000
2 4 66.03
1 5
15187 13575
Fx(kg)
Fig. 9 Horizontal Force along X axis for Beam 1 (Leg Member)
XIV. ADVANTAGES OF NARROW BASE TOWER
Even though the narrow base tower might not be completely
economical as a conventional tower, it is the only best solution
for urban cities. And with adaption of emerging trends and
technologies in engineering, narrow base towers could be an
alternative to conventional broad base towers, when adequate
right of way is not available.
XV. COCLUSION
The weight of the tower is optimized by using sections of
various sizes. The reduced weight is obtained by using single
angle sections for belt members. Since the scope of the project
is not obtaining the least weight of the tower with adequatesafety, the width of the tower is not increased further, to
validate the economy of the tower. Further the redundant
members are not designed. Considerable change in the total
weight of the tower would be obtained after the redundant
members are designed. The reduction in weight is achieved by
using angle sections of thickness varying from 5-6 mm, but not
less than 5 mm.
ACKNOWLEDGMENT
We would like to thank the management and staff of Easwari
Engineering College for their guidance and support.
References
[1] Alam M. J. and Santhakumar, A. R, “Reliability analysis and fullscale testing of Transmission Tower”, Journal of Structural Engineering ©
ASCE., Vol. 122, No. 3, pp. 338-344, (1996).
[2] Albermani F., Chan R. W. K., and Kitipornchai S, ‘Failure analysisof transmission towers’, ‘Engineering Failure Analysis’, © ELSEVIER., Vol.
16, pp. 1922-1928, (2008).
[2] CBIP – Central Board of Irrigation and Power manual[3] IS: 802 (Part1/Sec1):1995 – Use of structural steel in overhead
transmission line towers – Code of practice. Part 1 – Materials, Loads and
Permissible Stresses. Section 1 – Materials and Loads.[4] IS: 802 (Part1/Sec2):1992 – Use of structural steel in overhead
transmission line towers – Code of practice. Part 1 – Materials, Loads andPermissible Stresses. Section 2 – Permissible Stresses.
[4] IS: 5613 (Part 2/Sec 1): 1985 – Code of Practice for Design,
Installation and Maintenance of Overhead Power Lines. Part 2 – Lines above11 KV and up to and including 220 KV. Section 1 – Design.
[5] IS: 5613 (Part 2/Sec 2): 1985 – Code of Practice for Design,
Installation and Maintenance of Overhead Power Lines. Part 2 – Lines above11 KV and up to and including 220 KV. Section 2 – Installation and
Maintenance.
[6] Knight G. M. S and Santhakumar A. R, “Joint effects on behaviourof Transmission Towers,” Journal of Structural Engineering © ASCE., Vol.
119, No. 3, pp. 698-712, (1993).
Sakthivel. T, Post Graduate student, Structural Engineering
Department, Easwari Engineering College
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. Sanjeevi. R, Assistant Professor, Structural EngineeringDepartment, Easwari Engineering College