Articles

High-frequency periodic processes in two-winding power transformers

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Authors:


M.S.Seheda, orcid.org/0000-0001-8459-5758, Lviv Polytechnic National University, Lviv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

P.F.Gogolyuk, orcid.org/0000-0003-0002-4638, Lviv Polytechnic National University, Lviv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Y.V.Blyznak, orcid.org/0000-0002-4914-2283, Lviv Polytechnic National University, Lviv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.


повний текст / full article



Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2021, (6): 096 - 100

https://doi.org/10.33271/nvngu/2021-6/096



Abstract:



Purpose.
Mathematical modeling of high-frequency periodic processes in winding power transformers to improve the technology of their design and operation.


Methodology.
The methods of the formation of mathematical models for the research of high-frequency periodic processes in transformers and methods of solving systems of partial differential equations are applied.


Findings.
The mathematical model for the research of high-frequency periodic processes in two-winding transformers, with adequate considering of electromagnetic connections of windings and structural parameters of transformers, is created.


Originality.
To form a mathematical model for the research of high-frequency periodic processes, a substitute scheme of a two-windings transformer, taking into account the parameters of the electric and magnetic circuits of windings and electromagnetic connections between them, is proposed.


Practical value.
The mathematical model, which allows analyzing the voltage distribution in the transformer windings for high-frequency periodic processes in windings, and adjusting their insulating abilities, is created.



Keywords:
high-frequency periodic process, mathematical modeling, transformer, boundary value problem, ordinary differential equations

References.


1. Marek, F., & Jakub, F. (2010). Application of the transfer function to recognition of resonance overvoltages in transformer winding. Measurement Science and Technology, 21(12). https://doi.org/10.1088/0957-0233/21/12/125702.

2. Hosseini, S.M.H., Vakilian, M., & Gharehpetian, G.B. (2008). Comparison of transformer detailed models for fast and very fast transient studies. IEEE transactions on power delivery, 23(2), 733-741.

3. Bonidean, S.G., Bdic, M., Iordache, M., & Galan, N. (2015). Simulations and experimental tests on the distribution of over-voltage within transformer windings. UPB Scientific Bulletin, Series C, Electrical Engineering and Computer Science, 77(3).

4. Popov, M., van der Sluis, L., Paap, G.C., & de Herdt, H. (2005). Computation of very fast transient overvoltages in transformer windings. Proceedings of the international conference on power systems transients (IPST05), Montreal, Canada, June 1923. Retrieved from https://www.ipstconf.org/Proc_IPST2005.php.

5. Pedersen, K., Lunow, M.E., Holboell, J., & Henriksen, M. (2005). Detailed High Frequency Models of Various Winding Types in Power Transformers. Proceedings of the international conference on power systems transients (IPST05), Montreal, Canada, June1923,Retrieved from https://www.ipstconf.org/Proc_IPST2005.php.

6. Shibuya, Y., Matsumoto, T., & Teranishi, T. (2005). Modeling and analysis of Transformer winding at high frequencies. Proceedings of the international conference on power systems transients (IPST05), Montreal,Canada, June 1923, Retrieved from https://www.ipstconf.org/Proc_IPST2005.php.

7. Seheda, M., Hoholyuk, O., Gogolyuk, P., & Blyznak, Y. (2020). Mathematical model of periodic wave processes of the windings of high-frequency power sources. 15 International Conference Advancet trends in Radioelectronics, Telecommunications and Computer Engineering, Slavske-Lviv, Ukraine, February 2529. https://doi.org/10.1109/TCSET49122.2020.235575.

8. Seheda, M.S., Cheremnykh, Y.V., Gogolyuk, P.F., & Blyznak,Y.V. (2020). Mathematical model of wave processes in two-winding transformers. Tekhnichna Elektrodynamika, (6), 63-67. https://doi.org/10.15407/techned2020.06.005.

9. Beshta, O., Kuvaiev, V., Mladetskyi, I., & Kuvaiev, M. (2020). Ulpa particle separation model in a spiral classifier. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, (1), 31-35. https://doi.org/10.33271/nvngu/2020-1/031.

10. Beshta, A., Aziukovskyi, O., Balakhontsev, A., & Shestakov, A. (2017). Combined power electronic converter for simultaneous operation of several renewable energy sources. 2017 International Conference on Modern Electrical and Energy Systems (MEES). https://doi.org/10.1109/mees.2017.8248898.

11. CIGRE Brochure 577A, Electrical Transient Interaction between Transformers and the Power System. Part 1: Expertise . Joint Working Group A2/C4.39 (n.d.). Retrieved from http://www.http//xmlopez.webs.uvigo.es/Html/Info/2014_Electrical_Transients_Part1_Expertise.pdf.

12. CIGRE Brochure 577B, Electrical Transient Interaction between Transformers and the Power System. Part 2: Case Studies. Joint Working Group A2/C4.39 (n.d.). Retrieved from http://www.http//xmlopez.webs.uvigo.es/Html/Info/2014_Electrical_Transients_Part2_Expertise.pdf.

 

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ISSN (print) 2071-2227,
ISSN (online) 2223-2362.
Journal was registered by Ministry of Justice of Ukraine.
Registration number КВ No.17742-6592PR dated April 27, 2011.

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