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# Theoretical basis and methods of magnetic field calculation of high voltage cable

##### Work number - M 33 ALLOWED TO PARTICIPATE

Presented Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine

Authors:
Ph.D. Grinchenko V.S., Ph.D. Tkachenko A.O.

The aim of the work is to develop the theoretical bases and to elaborate methods for calculating the magnetic field of high-voltage three-phase cable lines with two-point bonded shields by analytical solutions.

Authors developed a mathematical model of the magnetic field of three-phase cable lines with two-point bonded shields based on the theoretical and experimental researches. It allows to calculate magnetic field for any arrangement of cable. The expressions which allow determining the magnetic field and currents in the cable shields with two-point bonding and “flat” arrangement are obtained. A simplified compact expression is proposed to calculate the shielding factor for flat cable line, the error of which is within 5%. It is obtained on the basis of the developed mathematical model and application of the Clark transform. The mathematical model of the magnetic field of three-phase cable lines with two-point bonded shields is improved for the case of cables covered by ferromagnetic cores. Expressions are obtained for calculating the shielding factor of the magnetic field of cable lines when ferromagnetic cores used. They take into account the parameters of the cables, their arrangement and the parameters of the ferromagnetic cores.

The results are implemented in the regulatory documents of the Ministry of Energy and Coal: “SOU-N-MEV40.1-37471933-49: 2011.2. Design of cable lines with voltage up to 330 kV: Installation (with changes). - Kyiv: Ministry of Energy and Coal of Ukraine, 2017. - 139 p.” and “SOU-N EE 20.179: 2008. Calculation of electric and magnetic fields of transmission lines. Methodology (with changes). - Kyiv: Ministry of Energy and Coal of Ukraine, 2016. - P. 37” in the sections devoted to the design and calculation of the magnetic field of cable lines two-point bonded cable shields. A new method is developed for calculating the RMS current values of cable shields for “flat” arrangement, which is transferred for implementation to the National Energy Company “UKRENERGO” and allows reducing the calculation error to 5%, which now exceeds 30%.

Number of publications: 9, including 14 scientific articles. According to the Scopus database, the total number of citations of authors publications presented in the work is 18, h-index (for work) = 3. According to the Web of Science database, the total number of citations of authors publications presented in the work is 16, h-index (for work) = 2. According to the Google Scholar database, the total number of citations is 95, h-index (for work) = 5.