Evaluation of the Electric Field of a Single-Core Power Cable at the Inner Conductor Radius
Year 2025,
Volume: 10 Issue: 2, 97 - 113, 30.08.2025
Hafiz Alisoy
,
Reşat Mutlu
,
Rabia Korkmaz Tan
,
Hakan Çanta
Abstract
Dielectric strength is a very important parameter for cables. It can vary according to temperature and frequency. The complex electrical permittivity of the Cross-linked polyethylene (XLPE) and Copper Polyester/Mylar band layers of a cable determine the maximum electric field created inside the cable operating at sinusoidal voltage. The value of this electric field should be less than the dielectric strength of the materials used. The electrical characteristics of XLPE and Copper Polyester tape depend on frequency and temperature. In a power cable, the temperature depends on the radial position, which makes it difficult to calculate the cable’s electric field. In this study, it was shown how to calculate the electric field of the cable by using XLPE and Copper Polyester band data taken from the literature and numerical integration. It was found that the calculated value is less than the Dielectric strength value of XLPE material. It has been shown how the electric field of the power cable under investigation changes according to frequency and temperature.
References
-
[1] Moore, G.F., "Electric cables handbook", Third Edition, Blackwell Science Ltd (1997).
-
[2] Gouda, O.E., Matter, Z., "Effect of the temperature rise on the XLPE dielectric properties", IEEE Proceedings of the 35th Midwest Symposium on Circuits and Systems 1 (1992) : 95-98.
-
[3] Li, C., Chu, Z., Zhang, L., Zhang, J., Tao, J., "Insulation aging diagnosis and defect location of crosslinked polyethylene cable in the distribution network based on radio frequency identification", Materials Express 13(10) (2023) : 1772-1781.
-
[4] Karhan, M., Ugur, M., "XLPE İzoleli Tek Damarlı Orta Gerilim Kablolarında Elektrik Alanının Sulu Ağaçlanmaya Etkisinin İncelenmesi", Göç Sistemleri Konferansı Proceedings (2016).
-
[5] Karhan, M., Çakir, M., Arslan, Ö., Issi, F., Eyüpoğlu, V., "XLPE dielektrik malzemelerde elektrik alanının temas açısına ve damlacık şekline etkisi", Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi 36 (2021).
-
[6] Wagenaars, P., Wouters, P.A.A.F., Van der Wielen, P., Steennis, E.F., "Approximation of Transmission Line Parameters of Single-core and Three-core XLPE Cables", IEEE Transactions on Dielectrics and Electrical Insulation 17 (2010) : 106-115.
-
[7] Gallot-Lavallée, O., "Dielectric Materials and Electrostatics" (2013).
-
[8] Cooper, E., Dissado, L.A., Fothergill, J., "Application of thermoelectric aging models to polymeric insulation in cable geometry", IEEE Transactions on Dielectrics and Electrical Insulation 12 (2005) : 1-10.
-
[9] K.A., "Modern cable insulation", News of Electrical Engineering 2(38) (2006).
-
[10] Uydur, C.C., Arikan, O., Kucukaydin, B., Dursun, B., Kumru, C.F., "The Effects of Overvoltage Aging on 20 kV XLPE Power Cable", International Conference on Electrical and Electronics Engineering Proceedings (2019) : 353-357.
-
[11] Yu, L., "High voltage cables with cross-linked polyethylene insulation", News of Electrical Engineering 2(50) (2008).
-
[12] Lewis, T.J., Llewellyn, J.P., Van Der Sluijs, M.J., Freestone, J., Hampton, R.N., "Electromechanical effects in XLPE cable models", IEEE Conference on Conduction and Breakdown in Solid Dielectrics Proceedings (1995) : 269-273.
-
[13] Goldshtein, E., Lavrinovich, V., Slyusarenko, S., Ushakov, V., Harlov, N., Khrushchov, Y., "Problems of diagnostics of electrical power equipment to assess its residual operating lifetime", IFOST Proceedings (2007).
-
[14] Kovrigin, L.A., "Basics of cable technology: textbook", Perm State Technical University Publishing House (2006).
-
[15] Du, Y., Geng, P., Song, J., Tian, M., Pang, D., "Influence of temperature and frequency on leakage current of XLPE cable insulation", IEEE Conference Proceedings (2016) : 1-4.
-
[16] Liu, Y., Wang, H., Zhang, H., Du, B., "Thermal Aging Evaluation of XLPE Power Cable by Using Multidimensional Characteristic Analysis of Leakage Current", Polymers 14(15) (2022) : 3147.
-
[17] Szczegielniak, T., Jabłoński, P., Kusiak, D., "Analytical Approach to Current Rating of Three-Phase Power Cable with Round Conductors", Energies 16 (2023) : 1821.
-
[18] Aras, F., Oysu, C., "Thermal analysis of 154 kV underground cable joint using finite element method", Journal of the Faculty of Engineering and Architecture of Gazi University 22 (2007) : 281-286.
-
[19] Aras, F., Alekperov, V., Can, N., Kirkici, H., "Aging of 154 kV underground power cable insulation under combined thermal and electrical stresses", IEEE Electrical Insulation Magazine 23(5) (2007) : 25-33.
-
[20] Uydur, C., Arikan, O., "Dielectric performance analysis of laboratory aged power cable under harmonic voltages", Electrical Engineering 104 (2022).
-
[21] Perka, B., Piwowarski, K., "A Method for Determining the Impact of Ambient Temperature on an Electrical Cable during a Fire", Energies 14(21) (2021) : 7260.
-
[22] Akın, F., Arıkan, O., Uydur, C.Ç., "Analysis of solid insulating materials breakdown voltages under different voltage types", Turkish Journal of Electrical Power and Energy Systems 2(1) (2022) : 85-93.
-
[23] DuPont Teijin Film, S.A., "Electrical Properties of Mylar", Technical Report (2023).
-
[24] Nexans, "Comparison among insulation materials", Technical Documentation (2023).
-
[25] Boukezzi, L., Saadi, Y., Boubakeur, A., "The radial distribution of temperature in XLPE cable: An analysis with the Finite Volume Numerical Method (FVM)", Conference on Electrical Insulation and Dielectric Phenomena Proceedings (2010) : 1-4.
-
[26] Privezentsev, V.A., Kholodny, S.D., Ryazanov, I.B., "Basics of cable technology", Energy Publishing House (1975).
-
[27] Software Informer, "GetData Graph Digitizer", Software Documentation (2023).
-
[28] Çanta, H., Mutlu, R., Tan, R.K., "Yeni Üretilen XLPE İzolasyonlu Tek Damarlı Bir Güç Kablosunun Kaçak Empedansının Hesabı", EMO Bilimsel Dergi 14(1) (2024) : 19-26.
-
[29] Tan, R.K., Çanta, H., Mutlu, R., "Artificial Neural Network Models of Cross-Linked Polyethylene", Trakya Üniversitesi Mühendislik Bilimleri Dergisi 25(2) (2024) : 129-141.
-
[30] Uydur, C.C., Arikan, O., Kumru, O., "The Effect of Insulation Defects on Electric Field Distribution of Power Cables", IEEE International Conference on High Voltage Engineering and Application Proceedings (2018) : 1-4.
Evaluation of the Electric Field of a Single-Core Power Cable at the Inner Conductor Radius
Year 2025,
Volume: 10 Issue: 2, 97 - 113, 30.08.2025
Hafiz Alisoy
,
Reşat Mutlu
,
Rabia Korkmaz Tan
,
Hakan Çanta
Abstract
Dielectric strength is a very important parameter for cables. It can vary according to temperature and frequency. The complex electrical permittivity of the Cross-linked polyethylene (XLPE) and Copper Polyester/Mylar band layers of a cable determine the maximum electric field created inside the cable operating at sinusoidal voltage. The value of this electric field should be less than the dielectric strength of the materials used. The electrical characteristics of XLPE and Copper Polyester tape depend on frequency and temperature. In a power cable, the temperature depends on the radial position, which makes it difficult to calculate the cable’s electric field. In this study, it was shown how to calculate the electric field of the cable by using XLPE and Copper Polyester band data taken from the literature and numerical integration. It was found that the calculated value is less than the Dielectric strength value of XLPE material. It has been shown how the electric field of the power cable under investigation changes according to frequency and temperature.
References
-
[1] Moore, G.F., "Electric cables handbook", Third Edition, Blackwell Science Ltd (1997).
-
[2] Gouda, O.E., Matter, Z., "Effect of the temperature rise on the XLPE dielectric properties", IEEE Proceedings of the 35th Midwest Symposium on Circuits and Systems 1 (1992) : 95-98.
-
[3] Li, C., Chu, Z., Zhang, L., Zhang, J., Tao, J., "Insulation aging diagnosis and defect location of crosslinked polyethylene cable in the distribution network based on radio frequency identification", Materials Express 13(10) (2023) : 1772-1781.
-
[4] Karhan, M., Ugur, M., "XLPE İzoleli Tek Damarlı Orta Gerilim Kablolarında Elektrik Alanının Sulu Ağaçlanmaya Etkisinin İncelenmesi", Göç Sistemleri Konferansı Proceedings (2016).
-
[5] Karhan, M., Çakir, M., Arslan, Ö., Issi, F., Eyüpoğlu, V., "XLPE dielektrik malzemelerde elektrik alanının temas açısına ve damlacık şekline etkisi", Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi 36 (2021).
-
[6] Wagenaars, P., Wouters, P.A.A.F., Van der Wielen, P., Steennis, E.F., "Approximation of Transmission Line Parameters of Single-core and Three-core XLPE Cables", IEEE Transactions on Dielectrics and Electrical Insulation 17 (2010) : 106-115.
-
[7] Gallot-Lavallée, O., "Dielectric Materials and Electrostatics" (2013).
-
[8] Cooper, E., Dissado, L.A., Fothergill, J., "Application of thermoelectric aging models to polymeric insulation in cable geometry", IEEE Transactions on Dielectrics and Electrical Insulation 12 (2005) : 1-10.
-
[9] K.A., "Modern cable insulation", News of Electrical Engineering 2(38) (2006).
-
[10] Uydur, C.C., Arikan, O., Kucukaydin, B., Dursun, B., Kumru, C.F., "The Effects of Overvoltage Aging on 20 kV XLPE Power Cable", International Conference on Electrical and Electronics Engineering Proceedings (2019) : 353-357.
-
[11] Yu, L., "High voltage cables with cross-linked polyethylene insulation", News of Electrical Engineering 2(50) (2008).
-
[12] Lewis, T.J., Llewellyn, J.P., Van Der Sluijs, M.J., Freestone, J., Hampton, R.N., "Electromechanical effects in XLPE cable models", IEEE Conference on Conduction and Breakdown in Solid Dielectrics Proceedings (1995) : 269-273.
-
[13] Goldshtein, E., Lavrinovich, V., Slyusarenko, S., Ushakov, V., Harlov, N., Khrushchov, Y., "Problems of diagnostics of electrical power equipment to assess its residual operating lifetime", IFOST Proceedings (2007).
-
[14] Kovrigin, L.A., "Basics of cable technology: textbook", Perm State Technical University Publishing House (2006).
-
[15] Du, Y., Geng, P., Song, J., Tian, M., Pang, D., "Influence of temperature and frequency on leakage current of XLPE cable insulation", IEEE Conference Proceedings (2016) : 1-4.
-
[16] Liu, Y., Wang, H., Zhang, H., Du, B., "Thermal Aging Evaluation of XLPE Power Cable by Using Multidimensional Characteristic Analysis of Leakage Current", Polymers 14(15) (2022) : 3147.
-
[17] Szczegielniak, T., Jabłoński, P., Kusiak, D., "Analytical Approach to Current Rating of Three-Phase Power Cable with Round Conductors", Energies 16 (2023) : 1821.
-
[18] Aras, F., Oysu, C., "Thermal analysis of 154 kV underground cable joint using finite element method", Journal of the Faculty of Engineering and Architecture of Gazi University 22 (2007) : 281-286.
-
[19] Aras, F., Alekperov, V., Can, N., Kirkici, H., "Aging of 154 kV underground power cable insulation under combined thermal and electrical stresses", IEEE Electrical Insulation Magazine 23(5) (2007) : 25-33.
-
[20] Uydur, C., Arikan, O., "Dielectric performance analysis of laboratory aged power cable under harmonic voltages", Electrical Engineering 104 (2022).
-
[21] Perka, B., Piwowarski, K., "A Method for Determining the Impact of Ambient Temperature on an Electrical Cable during a Fire", Energies 14(21) (2021) : 7260.
-
[22] Akın, F., Arıkan, O., Uydur, C.Ç., "Analysis of solid insulating materials breakdown voltages under different voltage types", Turkish Journal of Electrical Power and Energy Systems 2(1) (2022) : 85-93.
-
[23] DuPont Teijin Film, S.A., "Electrical Properties of Mylar", Technical Report (2023).
-
[24] Nexans, "Comparison among insulation materials", Technical Documentation (2023).
-
[25] Boukezzi, L., Saadi, Y., Boubakeur, A., "The radial distribution of temperature in XLPE cable: An analysis with the Finite Volume Numerical Method (FVM)", Conference on Electrical Insulation and Dielectric Phenomena Proceedings (2010) : 1-4.
-
[26] Privezentsev, V.A., Kholodny, S.D., Ryazanov, I.B., "Basics of cable technology", Energy Publishing House (1975).
-
[27] Software Informer, "GetData Graph Digitizer", Software Documentation (2023).
-
[28] Çanta, H., Mutlu, R., Tan, R.K., "Yeni Üretilen XLPE İzolasyonlu Tek Damarlı Bir Güç Kablosunun Kaçak Empedansının Hesabı", EMO Bilimsel Dergi 14(1) (2024) : 19-26.
-
[29] Tan, R.K., Çanta, H., Mutlu, R., "Artificial Neural Network Models of Cross-Linked Polyethylene", Trakya Üniversitesi Mühendislik Bilimleri Dergisi 25(2) (2024) : 129-141.
-
[30] Uydur, C.C., Arikan, O., Kumru, O., "The Effect of Insulation Defects on Electric Field Distribution of Power Cables", IEEE International Conference on High Voltage Engineering and Application Proceedings (2018) : 1-4.