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Development and testing of a methodology to determine parameters of equivalent circuits of power transformers based on fault oscillograms for short-circuit current calculation

Yu.D. Kutumov, A.Yu. Murzin, M.A. Krunov

Vestnik IGEU, 2026 issue 4, pp. 35—48

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Abstract in English: 

Background. Currently, the Common Information Model of the United Power System of Russia is being actively implemented in the electric power industry. Data which is received from Common Information Model is used to develop calculation models for various grid and generating equipment (including unit transformers and interconnecting autotransformers of nuclear power plants) for short-circuit current calculation. However, in real-world practice, an electric power engineering entity does not possess sufficient data to completely instantiate Common Information Model. For example, for multi-winding transformers, determining the active resistances in the positive-sequence equivalent circuit is up-to-date issue, while for all three-phase transformers (including unit transformers of nuclear power plants), calculating the parameters of the zero-sequence equivalent circuit is crucial.

Materials and methods. When compiling and analyzing the equivalent circuit diagrams for multi-winding power transformers, the principles of classical theory of electrical circuit analysis and synthesis have been used. When determining the parameters of the transformer equivalent circuit diagrams, programs for viewing fault oscillograms (Waves, Transcop, etc.) have been used.

Results. Impedance values of the equivalent circuit of multi-winding transformers are determined using various methods, and their characteristics have been provided. A methodology to determine the parameters of equivalent circuits for power transformers using fault oscillograms has been proposed. A method to verify the grid calculation model for short-circuit current calculations has been formulated. The scope of application of fault oscillograms to verify the parameters of equivalent circuits for transformers has been outlined. The results of determining various parameters of equivalent circuits for power transformers using fault oscillograms have been presented.

Conclusions. For some transformers, the active power losses during the short-circuit test may not match the same loss value calculated using the active resistance values of the individual transformer windings. Fault oscillograms are a sufficient tool to determine/verify the parameters of power transformer equivalent circuits (including zero-sequence circuits). However, there is a number of limitations in their use related to the magnitude of fault current and voltage components, as well as current transformer errors.

References in English: 

1. Yusupov, I.Kh. AO «Kontsern Rosenergoatom»: opyt vnedreniya obshchey informatsionnoy modeli [JSC Rosenergoatom Concern: experience in implementing a common information model]. Elektroenergiya. Peredacha i raspredelenie, 2023, no. 6(81), pp. 16–17.

2. Bogomolov, R.A. Sozdanie CIM-modeli v AO «SO EES» [Creating a CIM model at JSC SO UPS]. Elektroenergiya. Peredacha i raspredelenie, 2021, no. 2(65), pp. 26–31.

3. Volkova, T. Perspektiva obmena dannymi informatsionnykh modeley v elektroenergetike mezhdu sub”ektami elektroenergetiki v AO «Rosseti Tyumen’» v sootvetstvii so standartom CIM [Prospect of data exchange of information models in the electric power industry between electric power entities at Rosseti Tyumen JSC in accordance with the CIM standard]. Elektroenergiya. Peredacha i raspredelenie, 2023, no. S3(30), pp. 10–12.

4. Golovinskiy, I.A. Ob osnovakh natsional’nykh standartov tsifrovoy transformatsii v elektroenergetike [On the basis of national standards for digital transformation in the electric power industry]. Energoekspert, 2022, no. 1(81), pp. 68–72.

5. Prikaz Ministerstva energetiki Rossiyskoy Federatsii ot 20.12.2022 № 1340 «Ob utverzhdenii Pravil predostavleniya informatsii, neobkhodimoy dlya osushchestvleniya operativno-dispetcherskogo upravleniya v elektroenergetike» (Zareg. 16.03.2023 № 72599) [Order of the Ministry of Energy of the Russian Federation dated December 20, 2022 No. 1340 “On Approval of the Rules for Providing Information Necessary for Operational Dispatch Management in the Electric Power Industry” (Registered on March 16, 2023 No. 72599)].

6. Shishkov, E.M. Primenenie CIM-modeli dlya rascheta ustanovivshikhsya rezhimov mnogotsepnykh vozdushnykh liniy elektroperedachi [Application of the CIM model for calculating steady-state conditions of multi-circuit overhead power transmission lines]. Sbornik statey Mezhdunarodnoy nauchno-prakticheskoy konferentsii «Put’ k novomu ponimaniyu: integratsiya mezhdistsiplinarnykh issledovaniy v sovremennuyu nauku i praktiku», Irkutsk, 25 oktyabrya 2024 goda [Proceedings of international scientific and practical conference “The Way to a New Understanding: Integration of Interdisciplinary Research into Modern Science and Practice”, Irkutsk, October 25, 2024]. Ufa: Obshchestvo s ogranichennoy otvetstvennost’yu «Aeterna», 2024, pp. 31–33.

7. Khitrich, D.O. Voprosy integratsii formata CIMXML v protsessy formirovaniya perspektivnykh raschetnykh modeley [Issues of integrating the CIMXML format into the processes of forming prospective calculation models]. Novaya nauka: ot idei k rezul’tatu, 2025, no. 5, pp. 234–243.

8. Sistemnyy operator: v energetike obespechen skvoznoy protsess modelirovaniya na baze CIM [System Operator: end-to-end CIM-based modeling process is provided in the power industry]. Available at: https://eepir.ru/new/sistemnyj-operator-v-nbsp-energetike-obespechen-skv...

9. Metodicheskie ukazaniya po sostavleniyu raschetnykh modeley elektroenergeticheskikh sistem dlya provedeniya raschetov elektricheskikh rezhimov [Guidelines for compiling calculation models of electric power systems for calculating electrical operating conditions]. Moscow: AO «SO EES», 2011. 295 p.

10. Trebovaniya k formirovaniyu i aktualizatsii matematicheskikh modeley elektricheskoy seti dlya rascheta parametrov avariynogo rezhima. Utverzhdeno rasporyazheniem № 68r AO «SO EES» ot 19.06.2020 g. [Requirements for the formation and updating of mathematical models of the electrical network for calculating emergency mode parameters. Approved by Order No. 68r of JSC «SO UPS» dated June 19, 2020].  Moscow: AO «SO EES», 2020. 18 p.

11. Rukovodyashchie ukazaniya po releynoy zashchite. Vypusk 11. Raschety tokov korotkogo zamykaniya dlya releynoy zashchity i sistemnoy avtomatiki v setyakh 110–750 kV [Guidelines for Relay Protection. Short-circuit current calculations for relay protection and system automation in 110–750 kV networks]. Moscow: Izdatel'stvo «Energiya», 1979. 152 p.

12. Neklepaev, B.N. (ed.) Rukovodyashchie ukazaniya po raschetu tokov korotkogo zamykaniya i vyboru elektrooborudovaniya [Guidelines for short-circuit current calculation and selection of electrical equipment]. Moscow: Izdatel′stvo NTs ENAS, 2002. 148 p.

13. GOST R 52735-2007 Korotkie zamykaniya v elektroustanovkakh. Metody rascheta v elektroustanovkakh peremennogo toka napryazheniem svyshe 1 kV [Short circuits in electrical installations. Calculation methods in AC electrical installations with voltage above 1 kV]. Available at: https://files.stroyinf.ru/Data2/1/4293837/4293837777.pdf.

14. GOST R 58669-2019 Releynaya zashchita. Transformatory toka izmeritel’nye induktivnye s zamknutym magnitoprovodom dlya zashchity. Metodicheskie ukazaniya po opredeleniyu vremeni do nasyshcheniya pri korotkikh zamykaniyakh [Relay protection. Measuring inductive current transformers with closed magnetic core for protection. Guidelines for determining time to saturation during short circuits]. Available at: https://files.stroyinf.ru/Data/738/73857.pdf?ysclid=moale3esnk482082003.

15. Zasypkin, A.S. Releynaya zashchita transformatorov [Relay protection of transformers]. Moscow: Energoatomizdat, 1989. 240 p.

16. Rukovodyashchie ukazaniya po releynoy zashchite. Vypusk 09. Differentsial’no-faznaya vysokochastotnaya zashchita liniy 110–330 kV [Guidelines for Relay Protection. Issue 09. Differential-phase high-frequency protection of 110–330 kV lines]. Moscow: Energiya, 1972. 115 p.

17. Kutumov, Yu.D., Tsvetkov, M.I. Issledovanie vliyaniya broskov namagnichivayushchego toka transformatorov na ustoychivost’ funktsionirovaniya izmeritel’nykh organov releynoy zashchity v tselyakh sovershenstvovaniya metodik vybora ikh ustavok [Study of the influence of transformer inrush currents on the operational stability of relay protection measuring elements to improve the methods for setting their setpoints]. Vestnik IGEU, 2025, issue 4, pp. 28–37.

18. GOST R 58651.3-2020. Edinaya energeticheskaya sistema i izolirovanno rabotayushchie energosistemy. Informatsionnaya model’ elektroenergetiki. Profil’ informatsionnoy modeli liniy elektroperedachi i elektrosetevogo oborudovaniya napryazheniem 110–750 kV [United power system and isolated power systems. Information model of the electric power industry. Information model profile for power transmission lines and grid equipment with voltage of 110–750 kV]. Available at:  https://docs.cntd.ru/document/573115945.

19. GOST R 58651.Kh (proekt natsional’nogo standarta PNS1.15.016-1.287.24). Edinaya energeticheskaya sistema i izolirovanno rabotayushchie energosistemy. Informatsionnaya model’ elektroenergetiki. Profil’ informatsionnogo obmena i trebovaniya k tsifrovym informatsionnym modelyam elektroenergeticheskikh system [United power system and isolated power systems. Information model of the electric power industry. Information exchange profile and requirements for digital information models of electric power systems]. Moscow: Rosstandart, 2025. 210 p.

20. Leytes, L.V., Pintsov, A.M. Skhemy zameshcheniya mnogoobmotochnykh transformatorov [Equivalent circuits of multi-winding transformers]. Moscow: Energiya, 1974. 192 p.

21. Polevoy, V.A. Skhemy zameshcheniya transformatorov s rasshcheplennymi obmotkami [Equivalent circuits of transformers with split windings]. Moscow: Elektrichestvo, 1949. 96 p.

22. Zalyshkin, M.D. Vybor transformatorov v energeticheskikh sistemakh [Selection of transformers in power systems]. Moscow; Leningrad: Gosenergoizdat, 1960. 96 p.

23. DlgSilent PowerFactory: knowledge base. Available at: https://www.digsilent.de/en/faq-powerfactory.html.

24. Metodicheskie ukazaniya po raschetu i vyboru parametrov nastroyki distantsionnykh zashchit liniy elektroperedachi 110 kV i vyshe. Utverzhdeno rasporyazheniem AO «SO EES» ot 17.08.2021 № 89r [Guidelines for calculation and selection of setting parameters for distance protection of 110 kV and above power transmission lines. Approved by the order of JSC “SO UPS” dated 17.08.2021 № 89-r]. Мoscow: JSC «SO UPS», 2021. 295 p.

Key words in Russian: 
силовой трансформатор, блочный трансформатор электростанции, Единая информационная модель ЕЭС России, схема замещения трансформатора, токи короткого замыкания, осциллограммы аварийных режимов
Key words in English: 
power transformer, power plant unit transformer, Common Information Model of the United Power System of Russia, transformer equivalent circuit, short-circuit current, emergency mode oscillograms
The DOI index: 
10.17588/2072-2672.2026.4.035-048
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