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The National Academy of Sciences of Ukraine

The Institute of Electrodynamics

About Institute



M.A. Shcherba
Institute of Electrodynamics of the National Academy of Sciences of Ukraine,
Peremohy, 56, Kyiv-57, 03680, Ukraine,
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The mathematical modeling and the analysis of distribution of electric field, currents, forces and pressures in a solid dielectric (cross-linked polyethylene insulation) are performed for appearing of different-size closely located current-conducting (in particular water) micro-inclusions. The regularities of the field amplification, increasing of the current density and the resulting electromechanical forces and pressures, caused by changes in surface charges at closely located poles of micro-inclusions, have been studied. The dependences of these values on the configuration of micro-inclusions, in particular on their mutual distances, are determined. It is shown that the resultant forces contribute to attracting of small water inclusions to large ones and create conditions for the appearance and development of water trees in solid insulation. References 8, figures 4.
Key words: electric field, water micro-inclusions, dielectric, cross-linked polyethylene, mathematical modeling, forces, pressures, currents.

1. Landau L.D., Lifshyts Е.М. Electrodynamics of continuums. 4-th edition. Мoskva.: Fizmatlit, 2003. 560 p. (Rus)
2. Podoltsev A.D., Kucheriava I.M. Multiphysics modeling in electrical engineering. Kiev: Institut Elektrodinamiki Natsionalnoi Akademii Nauk Ukrainy, 2015. 304 p. (Rus)
3. Shydlovskii A.K., Shcherba A.A., Zolotarev V.M., Podoltsev A.D., Kucheriavaia I.N. Cables with polymer insulation on extra high-voltage. Kyiv: Institut Elektrodinamiki Natsionalnoi Akademii Nauk Ukrainy, 2013. 550 p. (Rus)
4. Shcherba M.A. The features of the local electric field amplifications by conducting inclusions in nonlinear polymer insulation. Tekhnichna Elektrodynamika. 2015. No 2. С. 16–23. (Rus)
5. Burkes K.W., Makram E.B., Hadidi R. Water Tree Detection in Underground Cables Using Time Domain Reflectometry . IEEE Power and Energy Technology Systems Journal. 2015. Vol. 2(2). P. 53-62. DOI:
6. Comsol Inc. Burlington, MA., 2017.
7. Wang W., Tao W., Ma Z., Liu J. The mechanism of water tree growth in XLPE cables based on the finite element method . High Voltage Engineering and Application. 2016. P. 1-4.
8. Zhou K., Li K., Yang M., Huang M. Insight into the influence of mechanical orientation on water tree propagation according to abnormal water tree . IEEE Intern. Conf. In Dielectrics. 2016. Vol. 2. P. 836-839.