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Bulletin of Electrical Engineering and Informatics
Vol. 9, No. 3, June 2020, pp. 853~861
ISSN: 2302-9285, DOI: 10.11591/eei.v9i3.2062  853
Journal homepage: http://beei.org
Design aspects of high voltage transmission line
Jabbar Qasim Fahad, Riyadh Kamil Chillab
Department of Electrical Power Techniques, Al-Ma’mon University College, Iraq
Article Info ABSTRACT
Article history:
Received Oct 17, 2019
Revised Dec 28, 2019
Accepted Feb 12, 2020
The transmission lines are very important in the transmitted of electrical
power, and the process of selecting the voltage of the line is an important
task in the design and implementation process. The process of transferring
electrical power from one side then onto the next place for long away.
While maintaining the percentage regulation within the permissible limits
is an important problem in the transfer of energy. In electrical transmission
line there are important elements are resistance, inductance and capacitance.
The purpose of this paper is to study and calculate economic high-tension
voltage and selection of overhead line conductor ACSR.
Keywords:
Corona losses
Efficiency
Percentage voltage regulation
Power factor
Transmission line system This is an open access article under the CC BY-SA license.
Corresponding Author:
Jabbar Qasim Fahad,
Department of Electrical Power Techniques,
Al-Ma’mon University College, Baghdad, Iraq.
Email: jabbarfahad54@gmail.com
1. INTRODUCTION
The design of electrical transmission lines is an important factor for the success of this design
and the work of the lines correctly. The transmission line are circuits with distributed constants, resistance,
inductance, and capacitance and shunt conductance. The tasks of transmission lines are to send electrical
power from one place to another within economic controls to achieve the design of electrical and mechanical,
The Regulation factor, efficiency, and loose with limit of design. The possibility of corona losses should
be another consideration. The increase in power to be transmitted over a long distance. Use of high voltages
for power transmission has been developed. Choice could be made by standard voltage as in Table 1
or by calculation from formula used in the calculation. Choice of voltage is also linked with the conductor
size. The final choice of the voltage and conductor size is made [1]. To predict the efficiency
of the transmission line, the voltage and conductor size is decided, and the sending end voltage
are calculated. The main component of the transmission line is the conductor, where the conductor the actual
primary carrier of electric power. The other part of transmission line is either carry conductor or isolate from
the ground. The electrical parameter of transmission lines resistance, inductance and capacitance can
be determined from specifications for conductor and geometric arrangements of conductor. It lowers
the inductive reactance and increases the capacitive saucepans or capacitance of the line [2]. The voltage
of the transmission line must have constant along the line, and the losses of transmission line must
be minimized so that the efficiency is high [3], and the cost of the line is minimum. In paper, Jyoti deep
Deka1 and ANSI electrical design of 132KV transmission line are shown [4]. This paper presents the choice
and calculation of high voltage line and conductor size [5-8].
 ISSN: 2302-9285
Bulletin of Electr Eng & Inf, Vol. 9, No. 3, June 2020 : 853 – 861
854
2. SELECTION OF WORKING VOLTAGE
The capacity of the power line transmitted through requires an increase in the voltage, the voltage
from generating station increased by step-up power transformer. Higher transmission voltage causes reducing
conductor size [9-12], so conductor size decreases. The transmission line voltages in Iraq are 33KV, 132KV,
400KV. The determine of voltage line, represent major factor in the line designs. There is different voltage
can be choosing from three cases [12-15].
- First case: according to the loading of the line.
The choice of voltage is also linked with the transmitting power required and distances
the following Table 1 may be used:
Table 1. Loading of line
Line-to-line voltage kV
Line loading
Kw x km
11 24×103
33 200×103
66 600×103
110 11×106
132 20×106
166 35×106
230 90×106
- Second case: choice of voltage with a maximum and minimum length, can see in Table 2.
Table 2. Choice of voltage with maximum and minimum length
Line-to-line voltage kV
Length of line km
Minimum Maximum
66
110
132
166
230
400
40
50
50
80
100
400
120
140
160
180
300
800
- Third criteria: according empirical formula for high voltage is given by equations:
𝑉𝐿=5.5√ ((L/1.6) + (P×1000/cosø × Nc × 150))
where; VL=Transmission line voltage in kV.
L=Length of a line in Km.
P=3 phase Power to be transmitted in kW
Nc=Number of circuits.
For Nc=1 (single circuit line).
For Nc=2 (double circuit line).
Cos ø=Power factor of the load.
The various points and specification to be considered in the electrical design of transmission lines
can be worked out as an illustration. Design a transmission line three-phase, 85Mw [16-17], at 0.9 power
factor lagging. Over distance of 160-kM. The regulation of the line should be within 12.5% of the
receiving-end voltage, efficiency 95% and corona losses not to exceed 0.6 kW/Km.
VL=5.5 √ (160/1.6 )+ (85 ×1000/0.9 × Nc ×150))
For
NC=1 (Single Circuit Line)
VL=148 kV
The nearest standard high voltage 220 kV
For
Nc=2 (Double Circuit Line)
VL=112 kV
The nearest standard high voltage 132 kV
Bulletin of Electr Eng & Inf ISSN: 2302-9285 
Design aspects of high voltage transmission line (Jabbar Qasim Fahad)
855
3. SURGE IMPEDANCE LOADING
Surge impedance loading is a very essential parameter in power system. Its mean a maximum
loading of transmission line. A transmission line loaded to its surge impedance loading [17-19], has no net
reactive power flow into or out of the line.
VL/VC=IL XL
Or
V/I=√ (L/C)=Z0
SIL=〖(VL)〗^2/Z0
where; VL=Transmission line voltage in kV
Z0=Surge impedance in ohm
=200 Ω (for double circuit line)
=400 Ω (for single circuit line)
The transmitted power is greater than actual power, hence double circuit power transmitting capability of
the system is higher than the real power to be transferred [16], hence, Double Circuit, 132Kv line is selected
and the value of MF equal 2.5 from Figure 1.
For Double Circuit Line:-
SIL=〖(VL)〗^2/Z0=〖(132)〗^2/200 =87 MW
P t=SIL × MF=87×2.5=217.5 MW
This power transmitting capability of the system is greater than the actual power to be transmitted; hence,
double circuit, 132Kv line, is selected.
Figure 1. Capability curve
4. STANDARD CONDUCTORS USED FOR TRANSMISSION LINE
The significant cost segment of the line’s configuration reply to the conductor. Here are four sorts
of overhead transmitter utilized for electrical transmission line and circulation. ACSR conductors
are generally used for high voltage work [18-22]. The size of conductors chose upon the length
of the transmission line, load on hold and the voltage of the line, ACSR conductor is most commonly usedas
shown in Figure 2 and Table 3 represent geometric mean radius (GMR) values as function of
conductor radius r.
 ISSN: 2302-9285
Bulletin of Electr Eng & Inf, Vol. 9, No. 3, June 2020 : 853 – 861
856
Figure 2. Stranded aluminum conductor with stranded steel core (ACSR)
Table 3. Geometric mean radius values as function of conductor radius r
All aluminum or all copper conductor ACSR
Number of stands GMR Number of all stands GMR
7 0.736 r 6 0.768 r
19 0.758 r 12 0.859 r
37 0.768 r 26 0.809 r
61 0.772 r 30 0.826 r
91 0.774 r 54 0.810 r
127 0.736 r
169 0.779 r
Sold 0.779 r
5. SPACING OF CONDUCTORS
An empirical formula Many factors is taken when calculating the spacing between conductors in
TL, no exact calculation was developed for calculating spacing between phases because of the complicated
situation, like function of many things [16, 17], and there are many empirical formulas that we come up with
and is used to determine the spacing between the conductors. Empirical formulas that are used:
Spacing=√S+V/150 meters
where; S is a sag in meter.
V is a line voltage in kV.
The spacing arrangement may be horizontal or vertical is given in Table 4.
Table 4. Spacing of conductors
The line to line voltage kV Equivalent spacing (m)
11 1
33 1.3
66 2.6
110 5
132 6
166 8
230 10.2
6. TRANSMISSION LINE CONFIGURATION
As Figure 3 shows the transmission line configuration for 132 kV, is show an overhead transmission
line used to transmit electrical energy across alarge distances, it consists of three double circuit nductors.
Overhead transmission is generaly the lowest cost methed of power transmission for alarge quantities
oe electric energy.
Bulletin of Electr Eng & Inf ISSN: 2302-9285 
Design aspects of high voltage transmission line (Jabbar Qasim Fahad)
857
Figure 3. Conductor arrangements for 132 Kv overhead double circuit overhead transmission
7. EFFICIENCY TRANSMISSION LINE
From suitable conductor for this current is ACSR (30/7/2.59) mm conductor. It is necessary
to calculate the line losses and the efficiency to check the suitability of this conductor [10-13].
Losses=3𝐼𝑟2
𝑅
where; R=total resistance per phase at 75o
For
ACSR (30/7/2.36) mm.
Resistance at 20o
is 0.222 Ω/Km.
To calculate the resistance at 75 o
.
𝑅75
𝑅20
=
1
𝛼𝑜
+ 75
1
𝛼𝑜
+ 20
=
228 + 75
228 + 20
𝑅75 = 0.222 ×
308
228
= 0.299Ω/𝑘𝑚
𝑅75 = 0.299 × 160 = 47.98 Ω
𝑇ℎ𝑒 efficiency of the line =
85×106
85×106
+3×4142
×47.98
=77%
The efficiency very poor; hence, the conductor size is not suitable [16]. The same calculation can be done for
another ACSR conductor as shown in Table 5. Figure 4 showed the relation between conductor diameter
and efficiency when the conductor size increased, efficiency of overhead transmission line increased also.
Table 5. Summarizing the results of 132kv lines with the size of ACSR
Line voltage in kV Size of ACSR conductor mm Current carrying capacity A Resistance at 𝑅75𝐶°
in Ω Efficiency%
132
30/7/2.36 400 47.98 77
30/7/2.59 455 39.85 80.5
30/7/3.99 800 16.8 90.8
30/7/4.27 850 14.4 92.02
 ISSN: 2302-9285
Bulletin of Electr Eng & Inf, Vol. 9, No. 3, June 2020 : 853 – 861
858
Figure 4. Dimeter of conductor
8. PARAMETERS OF TRANSMISSION LINE
The ACSR conductor (30/7/4.27) mm has much a higher current rating than the rated current
of proposed line [2]. The number of aluminum strands 30 [3], each having a diameter 4.27 mm. Number of
steel strands 7, overall diameter=29.89 mm, Weight 1977kg/km. Ultimate strength 178.8. In Table 4
an interphase spacing of 6 m is suitable for a 132 kV
𝐿 = 0.4605 𝑙𝑜𝑔
𝐷𝑚
𝐷𝑠
𝑚𝐻 𝑘𝑚
⁄
𝑐 =
0.024
𝑙𝑛
𝐷𝑚
𝐷𝑠
𝜇𝐹/𝑘𝑚
Vs = Vr𝐴 + BIr
Voltage regulation=
Vs−Vr
Vr
100%
Is = VrY (1 +
ZY
4
) + Ir (1 +
ZY
2
)
9. CORONA LOSS
Some ionization is always present in the air due to cosmic rays, ultra-violet radiation and
radioactivity. Therefore, under normal conditions, the air around the conductors contains some ionized
particle conductor and by using steel-cored aluminum conductors (ACSR) conductors. The breakdown
strength of air at 76 cm of mercury is directly proportional air density [23-27]. Table 6 show the ratio of
V and Vd where F is the factor, which are, varies with the ratio. Thus, the breakdown strength of air
at a barometric pressure of b cm of mercury and temperature of t℃ become:
δ =
3.86 × b
273 + t
The disruptive critical voltage 𝑉𝑑 is given by,
𝑉𝑑 = 21.1 × 𝑟 𝑚. δ 𝐿𝑛
𝐷
𝑟
Vd = 21,1 × 14.945 × 10−3
× 0.82 × 0.88 Ln
7.55
14.945 × 10−3
𝑉𝑑 = 143. kV
𝑉
𝑉𝑑
=
132
143
= 0.92
Table 6. Ratio (V/Vd) and factor F
V/Vd) 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2
F 0.012 0.018 0.05 0.08 0.3 1.0 3.5 6.0 8.0
Bulletin of Electr Eng & Inf ISSN: 2302-9285 
Design aspects of high voltage transmission line (Jabbar Qasim Fahad)
859
From Table 5, F=0.05
Corona loss =
21 × 10−6
× f × V2
(log
Deq
r
)
2 × F
Corona loss =
21×10−6×50×(132000)2
(log
7.55
14.945×10−3)
2 × 0.05 = 0.04 Kw/ph/kM
The voltage regulation is with a permissible limit of 12.5%. Therefore the size of conductor and
voltage is suitable for the line [20-22, 28], and the summating the results as shown in Table 7 and Table 8.
Table 7. Parameters of transmission line
Conductor ACSR R (Ω) XL (Ω) Ys Siemens Z Ω/𝑝ℎ𝑎𝑠𝑒 A = D (Ω) B (Ω)
30/7 /4.277 14.4 65.1 4.28× 10−4
66.7 77.5 0.994 0.179 67.5 75
Table 8. Result calculation of sending voltage and percentage regulation
VR (v) VS (v) REG % Is (A) Ps (MW) Corona losses Kw/ph/kM
76210 96336 12.79 2.3% 397.52 − 21.44 88.112 0.04
10. VOLTAGE FLOW LIMIT DESIN SYSTEM PLANNING
Since the desin of high voltage are depend on different parameters it is necessary to make throw
analysis while planning desin system [23-26, 29]. The problems to be stusied in the total system
are (i) selection of the economical of high voltage (ii) determination of the economical size of ACSR
conductor and (iii) comparison of voltage regulation [27]. The flow diagram of the transmission planning
as shown in Figure 5.
Figure 5. Flow diagram of the transmission planning
 ISSN: 2302-9285
Bulletin of Electr Eng & Inf, Vol. 9, No. 3, June 2020 : 853 – 861
860
11. CONCLUSION
The conductor is a major component of the overhead transmission; the calculation was carried out
for 132 kV at different sizes of conductors to make compact design of overhead transmission line.
The electrical design involves selection of voltages, selection of conductors, voltage regulation,
and efficiency. The conductor resistance determines the conductor losses and limits the maximum allowable
current carrying capacity of the conductor. Therefore, the size of conductor and voltage is suitable for
the line, and the summating the results as shown in Tables 7 and 8.
REFERENCES
[1] Akhlaque Ahmad Khan, “Different voltage selection criteria and insulation design of a transmission line for HV,
EHV& UHV system,” International Journal of Advanced Technology & Engineering Research (IJATER), vol. 2,
no. 2, pp. 73-79, May 2012.
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International Journal of Applied Physics and Mathematics, vol. 3, no. 4, pp. 260-263, July 2013.
[3] Jyotideep Deka, Kamaldeep Sharma, Krishan Arora, “Study of 132 kV transmission line design and calculation of
its parameters,” International Journal of Electrical Electronics Engineers, vol. 8, no.1, pp. 958-965, June 2016.
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pp. 240-249, 2016.
[15] M. G. Comber, L. E. Zaffanella, “The use of single-phase overhead test lines and test cage to evaluate the corona
effects of EHV and UHV transmission lines,” IEEE-T-PAS, pp 81-90, Jan-Feb 1974.
[16] P. Sarma Maruvada, “Corona Performance of High voltage Transmission lines,” Research studies press ltd, 2000.
[17] Hnin Yu Lwin U HIa MYO Htay, “Design of 230Kv Twin Bundle Double Circuit Overhead transmission line,”
International Journal of Trend in Scientific research and Development, vol. 3, no. 5, pp. 1967-1970, August 2019.
[18] Babu, Y. R., & Rao, C. S., “A Critical Evaluation of Power Quality Features using Dual APF under Grid Interfaced
DG Scheme,” Indonesian Journal of Electrical Engineering and Computer Science, vol. 7, no. 2,
pp. 322-337, 2017.
[19] Girish Gokhale, Pro. Manish Shah, “A study on different conductors for optimization of power flow, load ability in
long and medium transmission line,” International research journal of Engineering and technology, vol. 0, no. 0,
pp. 1563-1566, May-2017.
[20] Aswani R, Sakthivel R. “Power Flow Analysis of 110/11KV Substation Using ETAP,” International Conference
on “Emerging Trends in Science, Engineering, Business and Disaster Management”-ICBDM 2014, At Noorul
Islam University, Kanyakumari District, Tamilnadu, India, 2014.
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471-87249-8, John Wiley and Sons June 2001.
[22] P. Kundar, “Power System Stability and Control,” New York: McGraw-Hill, 1994.
[23] Kundur, P., Balu, N. J., & Lauby, M. G. “Power system stability and control,” New York: McGraw-hill,
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[25] V. K. Mehta Rohit Mehta “principles of power system (english) 4th edition,” ISBN: 13-9788121924962,
s. Chand, 2005.
Bulletin of Electr Eng & Inf ISSN: 2302-9285 
Design aspects of high voltage transmission line (Jabbar Qasim Fahad)
861
[26] W. Li, X. Ruan, C. Bao, D. Pan and X. Wang, "Grid Synchronization Systems of Three-Phase Grid-Connected
Power Converters: A Complex-Vector-Filter Perspective," in IEEE Transactions on Industrial Electronics, vol. 61,
no. 4, pp. 1855-1870, April 2014.
[27] Budwal Amrinder Singh, Chinmaya R. Chute, Shiva Gourishetti, “Harmonics effect on power quality and its
mitigation techniques using active power filter,” Proceedings of third biennial national conference, NCNTE, 2012.
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shunt active filters,” International Journal of Electrical And Computer Engineering (IJECE), vol 5, no. 5,
pp. 896-904, 2015.
[29] Y. Kusuma Latha, Ch. Saibabu, Y. P. Obulesh, “Control strategy for three phase shunt active power filter with
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no. 1, pp. 31-42, 2011.
BIOGRAPHIES OF AUTHORS
Jabbar Qasim Fahad received the B.S. in Electrical Engineering Department at Al Basra
University in (1972)-Iraq; he is doing Master of Electrical Engineering, Technical University
of Denmark, Denmark. He is interesting in the following Fields (Electrical Power Engineering,
Electrical Machine). He is currently a Senior Lecturer at the Al-Ma’mon University College,
Department of Electrical Power Techniques-Iraq-Baghdad.
Riyadh Kamil Chillab received the B.S. in Electrical Engineering Department at
Al-Mustansiriyah University in (2003)- iraq; he is doing Master of Electrical Engineering,
Baghdad University-iraq. He is interesting in the following Fields (Electrical Power Engineering,
Electrical Machines, Induction Heating). He is currently a Lecturer at the Al-Ma’mon University
Collage, department of Electrical Power Techniques-Iraq-Baghdad.

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Design aspects of high voltage transmission line

  • 1. Bulletin of Electrical Engineering and Informatics Vol. 9, No. 3, June 2020, pp. 853~861 ISSN: 2302-9285, DOI: 10.11591/eei.v9i3.2062  853 Journal homepage: http://beei.org Design aspects of high voltage transmission line Jabbar Qasim Fahad, Riyadh Kamil Chillab Department of Electrical Power Techniques, Al-Ma’mon University College, Iraq Article Info ABSTRACT Article history: Received Oct 17, 2019 Revised Dec 28, 2019 Accepted Feb 12, 2020 The transmission lines are very important in the transmitted of electrical power, and the process of selecting the voltage of the line is an important task in the design and implementation process. The process of transferring electrical power from one side then onto the next place for long away. While maintaining the percentage regulation within the permissible limits is an important problem in the transfer of energy. In electrical transmission line there are important elements are resistance, inductance and capacitance. The purpose of this paper is to study and calculate economic high-tension voltage and selection of overhead line conductor ACSR. Keywords: Corona losses Efficiency Percentage voltage regulation Power factor Transmission line system This is an open access article under the CC BY-SA license. Corresponding Author: Jabbar Qasim Fahad, Department of Electrical Power Techniques, Al-Ma’mon University College, Baghdad, Iraq. Email: jabbarfahad54@gmail.com 1. INTRODUCTION The design of electrical transmission lines is an important factor for the success of this design and the work of the lines correctly. The transmission line are circuits with distributed constants, resistance, inductance, and capacitance and shunt conductance. The tasks of transmission lines are to send electrical power from one place to another within economic controls to achieve the design of electrical and mechanical, The Regulation factor, efficiency, and loose with limit of design. The possibility of corona losses should be another consideration. The increase in power to be transmitted over a long distance. Use of high voltages for power transmission has been developed. Choice could be made by standard voltage as in Table 1 or by calculation from formula used in the calculation. Choice of voltage is also linked with the conductor size. The final choice of the voltage and conductor size is made [1]. To predict the efficiency of the transmission line, the voltage and conductor size is decided, and the sending end voltage are calculated. The main component of the transmission line is the conductor, where the conductor the actual primary carrier of electric power. The other part of transmission line is either carry conductor or isolate from the ground. The electrical parameter of transmission lines resistance, inductance and capacitance can be determined from specifications for conductor and geometric arrangements of conductor. It lowers the inductive reactance and increases the capacitive saucepans or capacitance of the line [2]. The voltage of the transmission line must have constant along the line, and the losses of transmission line must be minimized so that the efficiency is high [3], and the cost of the line is minimum. In paper, Jyoti deep Deka1 and ANSI electrical design of 132KV transmission line are shown [4]. This paper presents the choice and calculation of high voltage line and conductor size [5-8].
  • 2.  ISSN: 2302-9285 Bulletin of Electr Eng & Inf, Vol. 9, No. 3, June 2020 : 853 – 861 854 2. SELECTION OF WORKING VOLTAGE The capacity of the power line transmitted through requires an increase in the voltage, the voltage from generating station increased by step-up power transformer. Higher transmission voltage causes reducing conductor size [9-12], so conductor size decreases. The transmission line voltages in Iraq are 33KV, 132KV, 400KV. The determine of voltage line, represent major factor in the line designs. There is different voltage can be choosing from three cases [12-15]. - First case: according to the loading of the line. The choice of voltage is also linked with the transmitting power required and distances the following Table 1 may be used: Table 1. Loading of line Line-to-line voltage kV Line loading Kw x km 11 24×103 33 200×103 66 600×103 110 11×106 132 20×106 166 35×106 230 90×106 - Second case: choice of voltage with a maximum and minimum length, can see in Table 2. Table 2. Choice of voltage with maximum and minimum length Line-to-line voltage kV Length of line km Minimum Maximum 66 110 132 166 230 400 40 50 50 80 100 400 120 140 160 180 300 800 - Third criteria: according empirical formula for high voltage is given by equations: 𝑉𝐿=5.5√ ((L/1.6) + (P×1000/cosø × Nc × 150)) where; VL=Transmission line voltage in kV. L=Length of a line in Km. P=3 phase Power to be transmitted in kW Nc=Number of circuits. For Nc=1 (single circuit line). For Nc=2 (double circuit line). Cos ø=Power factor of the load. The various points and specification to be considered in the electrical design of transmission lines can be worked out as an illustration. Design a transmission line three-phase, 85Mw [16-17], at 0.9 power factor lagging. Over distance of 160-kM. The regulation of the line should be within 12.5% of the receiving-end voltage, efficiency 95% and corona losses not to exceed 0.6 kW/Km. VL=5.5 √ (160/1.6 )+ (85 ×1000/0.9 × Nc ×150)) For NC=1 (Single Circuit Line) VL=148 kV The nearest standard high voltage 220 kV For Nc=2 (Double Circuit Line) VL=112 kV The nearest standard high voltage 132 kV
  • 3. Bulletin of Electr Eng & Inf ISSN: 2302-9285  Design aspects of high voltage transmission line (Jabbar Qasim Fahad) 855 3. SURGE IMPEDANCE LOADING Surge impedance loading is a very essential parameter in power system. Its mean a maximum loading of transmission line. A transmission line loaded to its surge impedance loading [17-19], has no net reactive power flow into or out of the line. VL/VC=IL XL Or V/I=√ (L/C)=Z0 SIL=〖(VL)〗^2/Z0 where; VL=Transmission line voltage in kV Z0=Surge impedance in ohm =200 Ω (for double circuit line) =400 Ω (for single circuit line) The transmitted power is greater than actual power, hence double circuit power transmitting capability of the system is higher than the real power to be transferred [16], hence, Double Circuit, 132Kv line is selected and the value of MF equal 2.5 from Figure 1. For Double Circuit Line:- SIL=〖(VL)〗^2/Z0=〖(132)〗^2/200 =87 MW P t=SIL × MF=87×2.5=217.5 MW This power transmitting capability of the system is greater than the actual power to be transmitted; hence, double circuit, 132Kv line, is selected. Figure 1. Capability curve 4. STANDARD CONDUCTORS USED FOR TRANSMISSION LINE The significant cost segment of the line’s configuration reply to the conductor. Here are four sorts of overhead transmitter utilized for electrical transmission line and circulation. ACSR conductors are generally used for high voltage work [18-22]. The size of conductors chose upon the length of the transmission line, load on hold and the voltage of the line, ACSR conductor is most commonly usedas shown in Figure 2 and Table 3 represent geometric mean radius (GMR) values as function of conductor radius r.
  • 4.  ISSN: 2302-9285 Bulletin of Electr Eng & Inf, Vol. 9, No. 3, June 2020 : 853 – 861 856 Figure 2. Stranded aluminum conductor with stranded steel core (ACSR) Table 3. Geometric mean radius values as function of conductor radius r All aluminum or all copper conductor ACSR Number of stands GMR Number of all stands GMR 7 0.736 r 6 0.768 r 19 0.758 r 12 0.859 r 37 0.768 r 26 0.809 r 61 0.772 r 30 0.826 r 91 0.774 r 54 0.810 r 127 0.736 r 169 0.779 r Sold 0.779 r 5. SPACING OF CONDUCTORS An empirical formula Many factors is taken when calculating the spacing between conductors in TL, no exact calculation was developed for calculating spacing between phases because of the complicated situation, like function of many things [16, 17], and there are many empirical formulas that we come up with and is used to determine the spacing between the conductors. Empirical formulas that are used: Spacing=√S+V/150 meters where; S is a sag in meter. V is a line voltage in kV. The spacing arrangement may be horizontal or vertical is given in Table 4. Table 4. Spacing of conductors The line to line voltage kV Equivalent spacing (m) 11 1 33 1.3 66 2.6 110 5 132 6 166 8 230 10.2 6. TRANSMISSION LINE CONFIGURATION As Figure 3 shows the transmission line configuration for 132 kV, is show an overhead transmission line used to transmit electrical energy across alarge distances, it consists of three double circuit nductors. Overhead transmission is generaly the lowest cost methed of power transmission for alarge quantities oe electric energy.
  • 5. Bulletin of Electr Eng & Inf ISSN: 2302-9285  Design aspects of high voltage transmission line (Jabbar Qasim Fahad) 857 Figure 3. Conductor arrangements for 132 Kv overhead double circuit overhead transmission 7. EFFICIENCY TRANSMISSION LINE From suitable conductor for this current is ACSR (30/7/2.59) mm conductor. It is necessary to calculate the line losses and the efficiency to check the suitability of this conductor [10-13]. Losses=3𝐼𝑟2 𝑅 where; R=total resistance per phase at 75o For ACSR (30/7/2.36) mm. Resistance at 20o is 0.222 Ω/Km. To calculate the resistance at 75 o . 𝑅75 𝑅20 = 1 𝛼𝑜 + 75 1 𝛼𝑜 + 20 = 228 + 75 228 + 20 𝑅75 = 0.222 × 308 228 = 0.299Ω/𝑘𝑚 𝑅75 = 0.299 × 160 = 47.98 Ω 𝑇ℎ𝑒 efficiency of the line = 85×106 85×106 +3×4142 ×47.98 =77% The efficiency very poor; hence, the conductor size is not suitable [16]. The same calculation can be done for another ACSR conductor as shown in Table 5. Figure 4 showed the relation between conductor diameter and efficiency when the conductor size increased, efficiency of overhead transmission line increased also. Table 5. Summarizing the results of 132kv lines with the size of ACSR Line voltage in kV Size of ACSR conductor mm Current carrying capacity A Resistance at 𝑅75𝐶° in Ω Efficiency% 132 30/7/2.36 400 47.98 77 30/7/2.59 455 39.85 80.5 30/7/3.99 800 16.8 90.8 30/7/4.27 850 14.4 92.02
  • 6.  ISSN: 2302-9285 Bulletin of Electr Eng & Inf, Vol. 9, No. 3, June 2020 : 853 – 861 858 Figure 4. Dimeter of conductor 8. PARAMETERS OF TRANSMISSION LINE The ACSR conductor (30/7/4.27) mm has much a higher current rating than the rated current of proposed line [2]. The number of aluminum strands 30 [3], each having a diameter 4.27 mm. Number of steel strands 7, overall diameter=29.89 mm, Weight 1977kg/km. Ultimate strength 178.8. In Table 4 an interphase spacing of 6 m is suitable for a 132 kV 𝐿 = 0.4605 𝑙𝑜𝑔 𝐷𝑚 𝐷𝑠 𝑚𝐻 𝑘𝑚 ⁄ 𝑐 = 0.024 𝑙𝑛 𝐷𝑚 𝐷𝑠 𝜇𝐹/𝑘𝑚 Vs = Vr𝐴 + BIr Voltage regulation= Vs−Vr Vr 100% Is = VrY (1 + ZY 4 ) + Ir (1 + ZY 2 ) 9. CORONA LOSS Some ionization is always present in the air due to cosmic rays, ultra-violet radiation and radioactivity. Therefore, under normal conditions, the air around the conductors contains some ionized particle conductor and by using steel-cored aluminum conductors (ACSR) conductors. The breakdown strength of air at 76 cm of mercury is directly proportional air density [23-27]. Table 6 show the ratio of V and Vd where F is the factor, which are, varies with the ratio. Thus, the breakdown strength of air at a barometric pressure of b cm of mercury and temperature of t℃ become: δ = 3.86 × b 273 + t The disruptive critical voltage 𝑉𝑑 is given by, 𝑉𝑑 = 21.1 × 𝑟 𝑚. δ 𝐿𝑛 𝐷 𝑟 Vd = 21,1 × 14.945 × 10−3 × 0.82 × 0.88 Ln 7.55 14.945 × 10−3 𝑉𝑑 = 143. kV 𝑉 𝑉𝑑 = 132 143 = 0.92 Table 6. Ratio (V/Vd) and factor F V/Vd) 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 F 0.012 0.018 0.05 0.08 0.3 1.0 3.5 6.0 8.0
  • 7. Bulletin of Electr Eng & Inf ISSN: 2302-9285  Design aspects of high voltage transmission line (Jabbar Qasim Fahad) 859 From Table 5, F=0.05 Corona loss = 21 × 10−6 × f × V2 (log Deq r ) 2 × F Corona loss = 21×10−6×50×(132000)2 (log 7.55 14.945×10−3) 2 × 0.05 = 0.04 Kw/ph/kM The voltage regulation is with a permissible limit of 12.5%. Therefore the size of conductor and voltage is suitable for the line [20-22, 28], and the summating the results as shown in Table 7 and Table 8. Table 7. Parameters of transmission line Conductor ACSR R (Ω) XL (Ω) Ys Siemens Z Ω/𝑝ℎ𝑎𝑠𝑒 A = D (Ω) B (Ω) 30/7 /4.277 14.4 65.1 4.28× 10−4 66.7 77.5 0.994 0.179 67.5 75 Table 8. Result calculation of sending voltage and percentage regulation VR (v) VS (v) REG % Is (A) Ps (MW) Corona losses Kw/ph/kM 76210 96336 12.79 2.3% 397.52 − 21.44 88.112 0.04 10. VOLTAGE FLOW LIMIT DESIN SYSTEM PLANNING Since the desin of high voltage are depend on different parameters it is necessary to make throw analysis while planning desin system [23-26, 29]. The problems to be stusied in the total system are (i) selection of the economical of high voltage (ii) determination of the economical size of ACSR conductor and (iii) comparison of voltage regulation [27]. The flow diagram of the transmission planning as shown in Figure 5. Figure 5. Flow diagram of the transmission planning
  • 8.  ISSN: 2302-9285 Bulletin of Electr Eng & Inf, Vol. 9, No. 3, June 2020 : 853 – 861 860 11. CONCLUSION The conductor is a major component of the overhead transmission; the calculation was carried out for 132 kV at different sizes of conductors to make compact design of overhead transmission line. The electrical design involves selection of voltages, selection of conductors, voltage regulation, and efficiency. The conductor resistance determines the conductor losses and limits the maximum allowable current carrying capacity of the conductor. Therefore, the size of conductor and voltage is suitable for the line, and the summating the results as shown in Tables 7 and 8. REFERENCES [1] Akhlaque Ahmad Khan, “Different voltage selection criteria and insulation design of a transmission line for HV, EHV& UHV system,” International Journal of Advanced Technology & Engineering Research (IJATER), vol. 2, no. 2, pp. 73-79, May 2012. [2] Ramon P. 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  • 9. Bulletin of Electr Eng & Inf ISSN: 2302-9285  Design aspects of high voltage transmission line (Jabbar Qasim Fahad) 861 [26] W. Li, X. Ruan, C. Bao, D. Pan and X. Wang, "Grid Synchronization Systems of Three-Phase Grid-Connected Power Converters: A Complex-Vector-Filter Perspective," in IEEE Transactions on Industrial Electronics, vol. 61, no. 4, pp. 1855-1870, April 2014. [27] Budwal Amrinder Singh, Chinmaya R. Chute, Shiva Gourishetti, “Harmonics effect on power quality and its mitigation techniques using active power filter,” Proceedings of third biennial national conference, NCNTE, 2012. [28] Deepthi Janyavula, Satyendra Nath Saxena, “Unbalanced variable nonlinear load compensation using multiple shunt active filters,” International Journal of Electrical And Computer Engineering (IJECE), vol 5, no. 5, pp. 896-904, 2015. [29] Y. Kusuma Latha, Ch. Saibabu, Y. P. Obulesh, “Control strategy for three phase shunt active power filter with minimum current measurements,” International Journal of Electrical And Computer Engineering (IJECE), vol. 1, no. 1, pp. 31-42, 2011. BIOGRAPHIES OF AUTHORS Jabbar Qasim Fahad received the B.S. in Electrical Engineering Department at Al Basra University in (1972)-Iraq; he is doing Master of Electrical Engineering, Technical University of Denmark, Denmark. He is interesting in the following Fields (Electrical Power Engineering, Electrical Machine). He is currently a Senior Lecturer at the Al-Ma’mon University College, Department of Electrical Power Techniques-Iraq-Baghdad. Riyadh Kamil Chillab received the B.S. in Electrical Engineering Department at Al-Mustansiriyah University in (2003)- iraq; he is doing Master of Electrical Engineering, Baghdad University-iraq. He is interesting in the following Fields (Electrical Power Engineering, Electrical Machines, Induction Heating). He is currently a Lecturer at the Al-Ma’mon University Collage, department of Electrical Power Techniques-Iraq-Baghdad.