Proceedings of International Conference on Applied Innovation in IT  ·  2023/03/09  ·  Vol. 11  ·  Issue 1  ·  pp. 273–277
Research of Ferroresonance in 6-35 kV Electrical Networks Taking Into Account the Dynamic Model of Non-Linear Inductivity of Power Transformer
Shavkat Begmatov
Considering that distribution networks of 6-35 kV are the longest among electrical networks, one of the specialaspects of improving the reliability of power supply is the study of the effect of ferroresonance on the performance of voltage transformers (VT). Since the ferroresonant mode is quasi-stationary and occurs both at the fundamental frequency and at the subharmonic, the key role in the study is given to the creation of a dynamic model of the nonlinear inductance of the VT. The mathematical models and characteristics of the non-linear inductance of the VT and the resulting mathematical expressions proposed in well-known scientific papers are approximate and do not have sufficient accuracy for the analysis and qualitative assessment of ferroresonance in electrical networks of 6-35 kV. Since ferroresonance is characterized by non-linear abrupt modes of saturation of the VT magnetic circuit, the paper proposes a generalized dynamic model of the nonlinear VT inductance and more accurate analytical equations for the effective analysis of ferroresonance in 6-35 kV electrical networks.
Ferroresonance Electrical Distribution Networks of 6-35 kV Voltage Transformer Generalised Dynamic Model Non-Linear Inductance.
References
  1. K. S. Demirchyan, L. R. Neuman, and et al., “Theoretical foundations of electrical engineering,” St. Peter, 2006, vol. 1, 450 p., ch. 28.
  2. K. S. Demirchyan, L. R. Neiman, and et al., “Theoretical foundations of electrical engineering,” St. Peter, 2006, vol. 2, 575 p.
  3. E. B. Saitov, Sh. Kodirov, Z. F. Beknazarova, A. Nortojiyev, and N. Siddikov, “Developing Renewable Sources of Energy in Uzbekistan Renewable Energy Short Overview: Programs and Prospects,” AIP Conference Proceedings, vol. 2432, 2022, pp. 020015.
  4. E. B. Saitov and T. B. Sodiqov, “Modeling an Autonomous Photovoltaic System in the Matlab Simulink Software Environment,” AIP Conference Proceedings, vol. 2432, 2022, pp. 020022.
  5. E. B. Saitov, Sh. Kodirov, B. M. Kamanov, N. Imomkulov, and I. Kudenov, “Increasing the Efficiency of Autonomous Solar Photovoltaic Installations for Power Supply of Agricultural Consumers,” AIP Conference Proceedings, vol. 2432, 2022, pp. 040036.
  6. J. Bird, “Electrical and Electronic Principles and Technology,” London and New York, 2014, 455 p.
  7. K. Charles, A. Matthew, and N. O. Sadiku, “Fundamentals of Electric Circuits,” New York, 2014, 458 p.
  8. N. A. Antonov, “Analysis of ferroresonant circuits of 110-500 kV electrical networks by the methods of the mathematical modeling,” Dissertation, Ivanovo, 1988, 200 p.
  9. L. A. Vergara Valdes, “Development of a technique for detecting and compensating nonlinear dynamic processes in the medium voltage networks of the electrical complexes,” Dissertation, Ph.D., Moscow, 2016, 161 p.
  10. A. E. A. Araujo, A. C. Soudack, and J. R. Marti, “Ferroresonance in Power Systems: Chaotic Behaviour”, Proceedings-C, vol. 140, no. 3, 1993, pp. 237-240.
  11. B. A. Abdullaev, A. A. Alimov, and D. A. Khalmanov, “To the problem of the calculation capacity of the nonlinear inductance,” in Seventh World Conference on Intelligent Systems for Industrial Autamation, Tashkent, 2012, pp. 112-115.
  12. B. Abdullaev, “Generalized models of non-linear passive elements of electrical circuits and systems,” Tashkent State Technical University, 2015, 180 p.
  13. A. A. Alimov, D. A. Nosirova, F. A. Akbarov, and Kh. A. Muminov, “To the problem of the calculation capacity of the nonlinear inductance,” Journal of Critical Reviews, vol. 7, no. 15, 2020, doi: 10.31838/jcr.07.15.232.
  14. Sh. E. Begmatov, “An innovative way to create secondary power sources with high energy performance,” Technical Science and Innovation, vol. 2, pp. 161-166, 2020.
  15. Sh. E. Begmatov, Kh. I. Khalbutaeva, and S. A. Dusmukhamedova, “Study of ferroresonance in electric networks taking into account the generalized model of nonlinear inductance,” in Science and Life: International Scientific Conference, Sofia, Bulgaria, 20 October 2020, pp. 41-43.
  16. Sh. E. Begmatov, S. A. Dusmukhamedova, and Kh. Holbutaeva, “Study of ferroresonance using generalized models of passive nonlinear elements,” in Rudenko International Conference: Methodological Problems in Reliability Study of Large Energy Systems (RSES 2020), 14 December 2020, doi: 10.1051/e3sconf/202021601115.
  17. B. A. Abdullaev, Sh. E. Begmatov, D. Khalmanov, and S. A. Dusmukhamedova, “Generalized mathematical models of nonlinear passive elements for the research of ferroresonance in electrical networks,” Technical Science and Innovation, vol. 2, pp. 115-123, 2021.
  18. Sh. E. Begmatov, “Method for determining the boundary conditions of ferroresonant over voltages in electrical networks,” in VII International Scientific and Practical Conference: Energy and Energy Saving - Theory and Practice, Kemerovo, Russia, 7-9 December 2022, in press.
  19. Shavkat Begmatov, Dilshod Khalmanov, and Saidakhon Dusmukhamedova, “Analysis of Ferroresonance in 6-35 kV Electric Networks Including Dynamic Model of Non-Linear Inductivity of Power Transformers and Reactors,” Journal of Electrical Engineering & Technology, vol. 17, no. 2, pp. 772-782, 2022, doi: 10.1007/s42835-021-00777-1.

Proceedings of the International Conference on Applied Innovations in IT by Anhalt University of Applied Sciences is licensed under CC BY-SA 4.0  ·  This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License

ICAIIT 2026
International Conference on Applied Innovation in IT
Navigation
Publisher
ISSN2199-8876
Location Anhalt University of Applied Sciences
Phone +49 (0) 3496 67 5611
Address Building 01, Room 425
Bernburger Str. 55
D-06366 Köthen, Germany
Open Access License

All works are licensed under the Creative Commons Attribution-ShareAlike 4.0 International License (CC BY-SA 4.0), unless otherwise noted.

Published by ICAIIT in cooperation with Anhalt University of Applied Sciences.

© 2026 ICAIIT — International Conference on Applied Innovations in IT. Anhalt University of Applied Sciences, Köthen, Germany.
Visitors: site traffic counter