Analysis of Induced Voltage on Telecommunication Line in Parallel Distribution System
Analysis of Induced Voltage on Telecommunication Line in Parallel Distribution System
Journal of Electrical Engineering and Technology. 2014. Mar, 9(2): 726-732
Copyright © 2014, The Korean Institute of Electrical Engineers
• Received : April 08, 2013
• Accepted : September 24, 2013
• Published : March 01, 2014 PDF e-PUB PubReader PPT Export by style
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Hyun-Soo Kim
College of Information and Communication Engineering, Sungkyunkwan University, Korea (rc1901@hanmail.net,kiraoov@skku.edu)
Sang-Bong Rhee
Dept. of Electrical Engineering, Yeungnam University, Korea. (hunchul0119@hanmail.net)
Soon-Jeong Lee
College of Information and Communication Engineering, Sungkyunkwan University, Korea (rc1901@hanmail.net,kiraoov@skku.edu)
Chul-Hwan Kim
Corresponding Author: College of Information and Communication Engineering, Sungkyunkwan University, Korea. (hmwkim@hanmail.net)
Yoon Sang Kim
School of Computer Science and Engineering, Korea University of Technology and Education, Korea. (yoonsang@koreatech.ac.kr)

Abstract
A current flowing through a distribution conductor produces induced voltage, which is harmful to a telecommunication line. Previous research on induced voltage has been focused on single-circuit lines in the distribution system. However, the double-circuit lines, referred to as parallel distribution lines, are widely used in distribution systems because they have significant economic and environmental advantages over single-circuit lines. Therefore, a study on the induced voltage in double-circuit lines is needed. This paper presents a method of calculating the induced voltage in a parallel distribution system using four-terminal parameters and vector analysis. The calculation method is verified by the Electromagnetic Transient Program (EMTP) simulation.
Keywords
1. Introduction
Overhead lines electrified with an alternating current (AC) can induce voltage into a telecommunication line. In general, the induced voltage on a telecommunication line has harmful effects; it may result in damage to telecommunication facilities, danger to maintenance workers, deterioration of telecommunication transmission quality, or disturbance of the signal  .
In a distribution system, the induced voltage on a telecommunication line is important to consider when designing a joint right-of-way, as an unbalanced current can increase the induced voltage on the telecommunication line [2 - 4] . Therefore, the induced voltage should be calculated on the basis of agreements between the telecommunications company and electric power company. These calculations should be performed before an existing electric transmission facility is moved, expanded, or constructed. If the inducted voltage is above a certain limit, appropriate measures for the induced voltage should be taken.
Double-circuit lines have recently become fairly common in distribution systems, and it is easy to find instances where distribution lines are physically parallel due to the significant economic and environmental advantage over single-circuit lines. The parallel combination may require both distribution lines to be constructed on the same pole, or the two lines may run on separate, parallel poles on the same right-of-way. Until now, the studies for induced voltage in distribution systems have been performed only on single-circuit lines, so it is necessary to consider the induced voltage from double-circuit lines [5 , 6] .
In this paper, the calculation method using four-terminal parameters is presented for determining induced voltage on a telecommunication line. Parallel overhead distribution lines and the telecommunication line are represented by series impedance and shunt admittance matrices. These matrices are applied for the calculation of the induced voltage on the telecommunication line and take into account the coupling with adjacent parallel distribution lines. Carson’s formula is used to calculate both the impedance and admittance. Effects on the induced voltage according to the load condition and pole type of the distribution lines are analyzed by using the calculation method based on four-terminal parameters.
2. Calculation of Induced Voltage on Telecommunication Line
- 2.1 Calculation of induced voltage in single-circuit lines
To calculate an induced voltage on a telecommunication line, a system model of single-circuit lines is shown in Fig. 1 .
On the basis of Fig. 1 , the telecommunication line laid parallel with overhead distribution lines can be expressed as the relation of voltage and current using an equivalent PI circuit. In this paper, the self and mutual impedance and admittance are obtained using Carson’s formula  . The system frequency is 60 [Hz] and the earth’s resistivity is 100 [Ω·m]. Using four-terminal parameters, the sending voltage and current (V S1 , I S1 ), and the receiving voltage and current (V R1 , I R1 ) are as follows  : PPT Slide
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System model of single-circuit lines PPT Slide
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where PPT Slide
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In (1), sub-matrices are defined as (2). PPT Slide
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In (2), subscripts denote;
• • G: overhead ground wire
• • a, b, and c: 3-phase lines
• • N: neutral wire
• • T: telecommunication line
Overhead ground wires laid on the top of the distribution lines are installed for the purpose of preventing lightning and are grounded, so V SG and V RG can be assumed almost equal to zero. Accordingly, V RG is rewritten as follows: PPT Slide
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where
Z Gabc I Sabc = Z Ga I Sa + Z Gb I Sb + Z Gc I Sc
The sending current of the overhead ground wire can be obtained from (4). PPT Slide
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The sending neutral current is I SN , and V ST is grounded. So the induced voltage on the telecommunication line (V RT ) can be calculated using (5). PPT Slide
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where
Z Tabc I Sabc = Z Ta I Sa + Z Tb I Sb + Z Tc I Sc
- 2.2 Calculation of induced voltage in double-circuit lines
Fig. 2 is a system model of double-circuit lines used to calculate an induced voltage on a telecommunication line.
In the double-circuit lines, voltages and currents on the sending and receiving ends are V S2 , I S2 and V R2 , I R2 respectively, so the relations between the sending and receiving are expressed by (6)  . PPT Slide
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In (6), sub-matrices are defined as follows (7): PPT Slide
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System model of double-circuit lines PPT Slide
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In (7), Ua, Ub, and Uc indicate 3-phase lines in the upper side, and La, Lb, and Lc indicate 3-phase lines in the lower side. The relation between the receiving voltage and current is as follows: PPT Slide
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The receiving voltage of the overhead ground wire in the double-circuit lines can be obtained using (9). PPT Slide
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where
Z GUabc I SUabc = Z GUa I SUa + Z GUb I SUb + Z GUc I SUc
Z GLabc I SLabc = Z GLa I SLa + Z GLb I SLb + Z GLc I SLc
Because V SG and V RG can be also assumed to be almost zero in the double-circuit lines, the sending current of overhead ground wire can be expressed as follows: PPT Slide
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In the double-circuit lines, the sending neutral current can be calculated assuming that the upper and lower sides share the ground point of the neutral line and the neutral current is equal to the total current of the upper and lower side using the principle of superposition. If these things are true, then the neutral current is the same as (11)  . PPT Slide
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In conclusion, the induced voltage on the telecommunication line (V RT ) is represented by (12). Since the V ST is grounded, it can be assumed to be almost zero. In shorthand form, V RT is expressed as follows: PPT Slide
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where
Z TUabc I SUabc = Z TUa I SUa + Z TUb I SUb + Z TUc I SUc
Z TLabc I SLabc = Z TLa I SLa + Z TLb I SLb + Z TLc I SLc
3. System Modeling
To verify the calculation method, Fig. 3 illustrates the configuration of the overhead distribution lines and the telecommunication line.
The induced voltage on the telecommunication line is analyzed according to the pole type in case studies; Fig. 3 (a) is of single-circuit lines. Fig. 3 (b) is of double-circuit lines.
For this case study, the induced voltage with respect to load condition and pole type is measured by EMTP. All results of the case study are measured and calculated on the basis of 1 km parallel distance. In case studies, V RT is a calculation value using four-terminal parameters, the EMTP simulation result is V EMTP , and the error is calculated on the basis of V EMTP . The unbalance ratio of the load is not more than 30%. To analyze the induced voltage in the single- and double-circuit lines, vector analysis is also applied. PPT Slide
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Configuration of distribution lines and telecommunication line
Induced voltage results in single-circuit lines PPT Slide
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Induced voltage results in single-circuit lines
4. Case Study in Single-Circuit Lines
- 4.1 Simulation results
Table 1 shows the calculated induced voltages and the EMTP simulation results. For the case study of the singlecircuit lines, as shown in Table 1 , Case 1 has a balanced load, Case 2A ~ 2C have a single-phase unbalanced load, and Case 3 has a 3-phase unbalanced load. The numerical error in the difference between the EMTP simulation results and the calculated value of (5) is less than 1.14 [%].
- 4.2 Vector analysis
To analyze the induced voltage in the single-circuit lines, vector analysis is applied. The V RT may be divided into two sides from (5), the inducing side (V P ) and the shielding side (V GN ). V RT in the single-circuit lines is expressed as follows: PPT Slide
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where
V P = - (Z Tabc I Sabc ) , V GN = - (Z TG I SG + Z TN I SN )
Using the calculation method presented in (13), V P , V GN and V RT in partitioned from are displayed in Table 2 .
Vector analysis results in single-circuit lines PPT Slide
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Vector analysis results in single-circuit lines PPT Slide
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Vector analysis in single-circuit lines (Case 1)
In Table 2 , V P is caused by a 3-phase current and V GN is caused by the current of an overhead ground wire and a neutral wire. For example, Fig. 4 shows the resultant vector of Case 1 in the single-circuit lines.
5. Case Study in Double-Circuit Lines
- 5.1 Simulation results
Table 3 shows the calculated induced voltages and the EMTP simulation results. In Table 3 , the upper and lower side loads were changed. The calculation results of (12), using the four-terminal parameters and the EMTP simulation, are compared below.
In Table 3 , load conditions are as follows:
• Case 4: 3-phase balanced load in both the upper and lower sides
• Case 5: Single-phase (Uc, Lc-phase) unbalanced load in both the upper and lower sides
• Case 6: 3-phase unbalanced load in both the upper and lower sides
• Case 7A~7C: Single-phase unbalanced load in the upper side and balanced load in the lower side
• Case 8A~8C: Balanced load in the upper side and single- phase unbalanced load in the lower side
The results of the case studies listed in Table 3 show that the numerical error in the difference between the EMTP simulation results and the calculated value of (12) is less than 3.38 [%], so it can be regarded as an exact method.
- 5.2 Vector analysis
Similar to the vector analysis of the single-circuit lines, the V RT may be divided into an inducing side (V P ) and a shielding side (V GN ). Because of double-circuit lines, V P may be again divided into an upper (V UP ) and lower side (V LP ) using (13). V RT is expressed as follows: PPT Slide
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Where
Induced voltage results in double-circuit lines PPT Slide
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Induced voltage results in double-circuit lines
Vector analysis results in double-circuit lines PPT Slide
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Vector analysis results in double-circuit lines PPT Slide
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Induced voltage(VP) is caused by a 3-phase current of the upper and lower sides in double-circuit lines (Case 4) PPT Slide
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Vector analysis in double-circuit lines (Case 4)
V UP = - (Z TUabc I SUabc ), V LP = - (Z TLabc I SLabc )
V GN = - (Z TG I SG + Z GN I SN )
In (14), V UP , V LP , V GN , and V RT in partitioned form are displayed in Table 5.
In Table 4 , V UP is caused by a 3-phase current in the upper side. V LP is caused by a 3-phase current in the lower side. For example, Fig. 5 shows t resultant vector of Case 4 in V P of the double-circuit lines.
The total induced voltage in the double-circuit lines is given as a vector sum (V RT = V UP + V LP + V GN ). The resultant vector is shown in Fig. 6 , and the above results agree with the vector analysis.
6. Comparison of Case Study
Fig. 7 shows the induced voltage on a telecommunication line over which the single- and double-circuit lines carry the same load type. The results indicate that the induced voltage in the double-circuit lines is larger than the induced voltage in the single-circuit lines.
Fig. 8 shows the induced voltage on a telecommunication line through which the single-circuit lines and the upper and lower sides of the double-circuit lines carry the same single-phase unbalanced load.
When comparing Case 2B in the single-circuit lines and Case 8B in the double-circuit lines, regardless of the pole type listed in Fig. 8 , the induced voltage of the doublecircuit lines is smaller than the induced voltage in the single-circuit lines. When comparing the upper and lower sides of the double-circuit lines, the induced voltage of the lower side is smaller than the upper side. This is because of the screening effect of neutral current, which is closely arranged to the b-phase line and the lower sides of the double-circuit lines. PPT Slide
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Comparison of single and double-circuit lines PPT Slide
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Comparison of induced voltage results
7. Conclusion
This paper presented a method to calculate the induced voltage on a telecommunication line in a parallel distribution system. For more actual analysis on the induced voltage from a practical point, parallel overhead distribution lines and the telecommunication line were represented by series impedance and shunt admittance matrices. These matrices were applied to calculate the induced voltage on the telecommunication line. The advantage of this method was that it uses the actual neutral current value and four-terminal parameters to calculate the induced voltage in the double-circuit lines. The calculation method was verified by both the EMTP and vector analysis. Also, various case studies were compared and analyzed according to the load condition and pole type of the distribution system. From the results which did not generate very much of an error when calculating the induced voltage, it is expected that the proposed method be useful to a real system.
BIO Hyun-Soo Kim He received the B.S degree from Youngdong University, Korea, in 2004, and the M.S. degree from Sungkyunkwan University in 2009. Since 2010, he joined Electricity Control Technology Team, Device Solutions, Samsung Electronics, Korea. His current research interests include power system transients, modeling and simulation for power system protection using EMTP. Sang-Bong Rhee He received the B.S., M.S., and Ph.D. degrees form Hanyang University, Korea in 1994, 1999, and 2004, respectively. He serves as a Research Professor at the College of Electrical and Computer Engineering, Sungkyunkwan University, Korea. Currently, he is an assistant professor with the dept. of electrical engineering at Yeungnam University, Korea. His research interests include a distribution system control and operation, and artificial intelligence applications to power system protection Soon-Jeong Lee He received his B.S. degree in Department of Electrical and Electronics Engineering from Kangwon National University, 2010 and M.S. dgree in College of Information and Communication from Sungkyunkwan University, South Korea, 2012 respectively. At present, he is working for his Ph. D. course in Sungkyunkwan University. His research interests are power quality, power system transient analysis and electric vehicle. Chul-Hwan Kim He received his B.S. and M.S. degrees in Electrical Engineering from Sungkyunkwan University, South Korea, 1982 and 1984, respecttively. He received a Ph.D. degree in Electrical Engineering from Sungkyunkwan University in 1990. In 1990 he joined Cheju National University, Cheju, South Korea, as a full-time Lecturer. He has been a visiting academic at the University of BATH, UK, in 1996, 1998, and 1999. Since March 1992, he has been a professor in the College of Information and Communication, Sungkyunkwan University, South Korea. His research interests include power system protection, artificial intelligence application for protection and control, the modelling/protection of underground cable and EMTP software. Yoon Sang Kim He received B.S., M.S., and Ph.D. degrees in Electrical Engineering from Sungkyunkwan University, Seoul, Korea, in 1993, 1995, and 1999, respectively. He was a member of the Postdoctoral Research Staff of Korea Institute of Science and Technology (KIST), Seoul, Korea. He was a Faculty Research Associate in the Department of Electrical Engineering, University of Washington, Seattle. He was a Member of the Senior Research Staff, Samsung Advanced Institute of Technology (SAIT), Suwon, Korea. Since March 2005, he has been an Associate Professor at the School of Computer and Science Engineering, Korea University of Technology Education (KOREATECH), Cheonan, Korea. His current research interests include Virtual simulation, Power-IT technology, and device-based interactive application. Dr. Kim was awarded the Korea Science and Engineering Foundation (KOSEF) Overseas Postdoctoral Fellow in 2000. He is a member of IEEE, IEICE, ICASE, KIPS, and KIEE.
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