Abstract

Full Text

One of the serious problems in 6-10 kV cable electrical networks is single-phase ground faults (SGF). SGFs, in turn, can lead to interphase short circuits (SC) and power line shutdowns if they last for a long time. However, until the FGD mode transitions to an interphase SC, the cable will be affected by elevated temperatures due to additional heating of the cable by higher harmonic currents (HHC). Additional heating by higher harmonic currents in a steady-state FGD mode can cause the cable temperature to exceed the standard for different types of insulation. At the same time, the determination and accounting of higher harmonic currents in traditional thermal models is difficult because existing models are either too simple and cannot take into account HC currents or they are complex and require a significant number of initial conditions to be specified (e.g., finite element analysis). The traditional approach, based on the root mean square values of individual harmonic currents, is difficult to apply due to the difficulty of recognizing harmonics in networks with an isolated neutral. In this paper, the authors propose a new approach to accounting for additional heating, where the basis for the mathematical model of additional cable heating by harmonic currents is proposed to be the use of wavelet analysis, namely, high-frequency range wavelet coefficients. The advantage of the proposed approach is a significant reduction in computational resources. This creates a practical opportunity to use SGF diagnostic features not only to locate damage, but also to quickly assess the thermal condition of the line in real time.

Keywords

single-phase ground fault, higher harmonics, cable heating, wavelet analysis, thermal process simulation

Dmitry S. Osipov D.Sc. (Engineering), Associate Professor, Polytechnic School, Yugra State University, Khanty-Mansiysk, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it., https://orcid.org/0000-0002-0830-408X

Alexandr O. Paramzin Ph.D. (Engineering), Associate Professor, Polytechnic School, Yugra State University, Khanty-Mansiysk, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it., https://orcid.org/0000-0002-7266-4493

Alexandr O. Shepelev Ph.D. (Engineering), Associate Professor, Polytechnic School, Yugra State University, Khanty-Mansiysk, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it., https://orcid.org/0000-0002-5757-9653

1. Kutumov Yu.D., Mizono V.E., Tikhonov A.I., Shadrikova T.Yu. Building a digital twin model of an underground electrical cable: the thermal part of the problem. Vestnik Ivanovskogo gosudarstvennogo energeticheskogo universiteta [Vestnik IGEU], 2021, no. 3, pp. 59-65. (In Russian). doi: 10.17588/2072-2672.2021.3.059-065

2. Kutumov Yu.D., Shadrikova T.Yu., Shuin V.A. Heating of cable power lines by higher harmonic currents during ground faults in compensated 6-10 kV networks. Elektroenergetika glazami molodezhi: Materialy XII Mezhdunarodnoi nauchno-tekhnicheskoi konferentsii [Proceedings of the XII International Scientific and Technical Conference "Electric Power Engineering through the Eyes of Young People"]. Nizhny Novgorod, R.E. Alekseev Nizhny Novgorod State Technical University Publ., 2022, pp. 131-134. (In Russian)

3. Zaitsev E.S., Lebedev V.D. Algorithm for evaluating the temperature of three-phase high-voltage cable lines with cross-linked polyethylene insulation. Elektricheskie stantsii. [Electrical stations], 2016, no. 9(1022), pp. 34-38. (In Russian)

4. Malyshev A.V., Krivosheev N.V., Marschner W.K. Monitoring of power cable lines with the RTTR system and its impact on the optimization of cable network throughput capacity. Elektro. Elektrotekhnika, elektroenergetika, elektrotekhnicheskaya promyshlennost' [ELEKTRO. Elektrotekhnika, elektroenergetika, elektrotekhnicheskaya promyshlennost'], 2008, no. 2, pp. 22-24. (In Russian)

5. Tkachenko V.A., Kropotin O.V., Shepelev A.O. Mathematical model of a cable power line with cross-linked polyethylene insulation for underground installation. Omskij nauchnyj vestnik. [Omsk Scientific Bulletin], 2018, no. 6(162), pp. 137-141. (In Russian). doi: 10.25206/1813-8225-2018-162-137-141

6. Kutumov Yu.D., Mizono V.E., Shadrikova T.Yu., Tikhonov A.I. Cellular model of transient thermal processes in underground electrical cables and surrounding soil. Vestnik Ivanovskogo gosudarstvennogo energeticheskogo universiteta [Vestnik IGEU], 2021, no. 2, pp. 55-61. (In Russian). doi: 10.17588/2072-2672.2021.2.055-061

7. Shirkovets A.I. Investigation of the parameters of higher harmonics in ground fault current and assessment of their influence on single-phase arc extinction. Relejnaya zashhita i avtomatizaciya [Advancement of Relay Protection, Automation and Control in Electric Power Engineering], 2011, no. 4(5), pp. 14-19. (In Russian)

8. Shuin V.A., Vinokurova T.Yu., Dobryagina O.A., Shagurina E.S. Application of simulation modeling to assess the instability level of higher harmonics in single-phase ground fault current in compensated 6-10 kV cable networks. Vestnik Ivanovskogo gosudarstvennogo energeticheskogo universiteta. [Vestnik IGEU], 2014, no. 6, pp. 31-38. (In Russian)

9. Soldatov A.V., Kudryashova M.N., Antonov V.I., Ivanov N.G., Ivanov M.O. Methods for recognizing higher harmonics against a background of dominant harmonic noise for the purpose of protection against single-phase ground faults. Elektricheskie stantsii. [Electrical stations], 2021, no. 7, pp. 27–34. (In Russian)

10. Paramzin A.O. Development of selective line detection method with single-phase earth fault for industrial 6–35 kV networks with isolated neutral with non-sinusoidal load. Omskij nauchnyj vestnik. [Omsk Scientific Bulletin], 2023, no. 4(188), pp. 100-108. (In Russian). doi: 10.25206/1813-8225-2023-188-100-108

11. Girshin S.S. Elektroenergeticheskie sistemy i seti [Electric power systems and grids]. Omsk, KAN Polygraphic center, 2012. 112 p. (In Russian)

12. Shepelev A.O., Osipov D.S., Tkachenko V.A. Development of correction coefficients for cable cross-sections selection in polymeric cable channel. Izvestiya Tomskogo politekhnicheskogo universiteta. Inzhiniring georesursov. [Bulletin of the Tomsk Polytechnic University. Geo Assets Engineering], 2024, vol. 335, no. 3, pp. 7-16. (In Russian). doi: 10.18799/24131830/2024/3/4209

13. Paramzin A.O. Modernizatsiya metoda otnositelnogo zamera vysshix garmonik dlya opredeleniya prisoedineniya s odnofaznym zamykaniem na zemlyu v setyax 6 (10) kV. Kand. Diss. [Modernization of the method for relative measurement of higher harmonics to determine the connection with a single-phase ground fault in 6 (10) kV networks. Kand. Diss.]. Omsk, 2025. 203 p. (In Russian)

 

Osipov D.S., Paramzin A.O., Shepelev A.O. Evaluation of Cable Line Heating in Single-Phase Earth Fault Mode in the Presence of Higher Harmonic Components. Elektrotekhnicheskie sistemy i kompleksy [Electrotechnical Systems and Complexes], 2026, no. 1(70), pp. 50-55. (In Russian). https://doi.org/10.18503/2311-8318-2026-1(70)-50-55