Русская версия English version

Method for determining the magnetizing branch inductance in the equivalent circuit of a current transformer under core saturation

D.Yu. Vikharev

Vestnik IGEU, 2026 issue 2, pp. 49—56

Download PDF

Abstract in English: 

Background. The linearized magnetization characteristic is widely used for analyzing transient processes in current transformers. Its main parameter is the magnetizing branch inductance corresponding to deep core saturation. Currently, analytical expressions for its calculation based on the geometric dimensions of the magnetic core are known. However, their application is complicated by the absence of actual core parameters in technical documentation. Another method for determining the magnetizing branch inductance involves the use of the peak dynamic and average magnetization curves obtained for the secondary winding. It is known that the magnetization curves of modern current transformers are almost horizontal under high magnetizing excitation, which makes it difficult to determine the magnetizing branch inductance with an accuracy of tens of µH using test equipment employed at electric power facilities. Therefore, the development of a method for determining the magnetizing branch inductance in the equivalent circuit of a current transformer under core saturation, providing measurement capability in the µH range, is an urgent task.

Materials and methods. Methods for determining the peak dynamic and average magnetization curves of the current transformer secondary winding were used. The proposed method is based on mathematical modeling techniques for nonlinear electrical circuits. Analytical expressions for calculating the inductance of a toroidal winding were used to evaluate the obtained results.

Results. Processing of experimental data obtained during a physical experiment using a TOL-10 current transformer made it possible to determine the magnetizing branch inductance values according to classical and proposed methods. It was found that the calculated inductance values obtained using classical methods have a spread of up to 50 µH for each magnetization curve, whereas the proposed method provides a spread of no more than 2 µH.

Conclusions. The proposed method makes it possible to measure the magnetizing branch inductance of a current transformer with an accuracy of several µH.

 

References in English: 

1. Drozdov, A.D. Elektricheskie tsepi s ferromagnitnymi serdechnikami v releynoy zashchite [Electrical circuits with ferromagnetic cores in relay protection]. Moscow; Leningrad: Energiya, 1965. 240 p.

2. Podgornyy, E.V., Khlebnikov, S.D. O vybore raschetnoy kharakteristiki namagnichivaniya transformatorov toka v perekhodnykh rezhimakh [On selection of magnetization characteristic of current transformers in transient modes]. Elektrichestvo, 1966, no. 9, pp. 87–90.

3. Kuzhekov, S.L. O metodakh rascheta perekhodnykh i ustanovivshikhsya protsessov v transformatorakh toka [On methods for calculation of transient and steady-state processes in current transformers]. Elektrichestvo, 1975, no. 7, pp. 74–77.

4. Korolev, E.P., Liberzon, E.M. Raschety dopustimykh nagruzok v tokovykh tsepyakh releynoy zashchity [Calculation of permissible loads in relay protection current circuits]. Moscow: Energiya, 1980. 207 p.

5. Podgornyy, E.V., Khlebnikov, S.D. Modelirovanie i raschety perekhodnykh rezhimov v tsepyakh releynoy zashchity [Modeling and calculation of transient modes in relay protection circuits]. Moscow: Energiya, 1974. 206 p.

6. Drozdov, A.D., Kuzhekov, S.L. Issledovanie formy vtorichnogo toka zashchitnykh transformatorov toka v perekhodnykh i ustanovivshikhsya rezhimakh [Investigation of secondary current waveform of protective current transformers in transient and steady-state modes]. Elektrichestvo, 1971, no. 1, pp. 27–32.

7. Kuzhekov, S.L., Degtyarev, A.A. O vosstanovlenii periodicheskoy sostavlyayushchey pervichnogo toka transformatora toka v perekhodnom rezhime [Restoration of periodic component of primary current of current transformer in transient mode]. Izvestiya vysshikh uchebnykh zavedeniy. Elektromekhanika, 2011, no. 3, pp. 29–31.

8. Vikharev, D.Yu., Rodin, N.A. Algoritm vosstanovleniya privedennogo pervichnogo toka pri nasyshchenii elektromagnitnogo transformatora toka bez ispol′zovaniya kharakteristiki namagnichivaniya [Algorithm for reconstruction of reduced primary current under saturation of electromagnetic current transformer without magnetization characteristic]. Izvestiya Rossiyskoy akademii nauk. Energetika, 2022, no. 6, pp. 36–45. DOI: 10.31857/S0002331022060061.

9. GOST R 70507.2-2024. Transformatory izmeritel′nye. Ch. 2. Tekhnicheskie usloviya na transformatory toka [Instrument transformers. Part 2. Technical specifications for current transformers]. Moscow: Standartinform, 2024. 36 p.

10. Barzilovich, V.M. Vysokovol′tnye transformatory toka [High-voltage current transformers]. Moscow; Leningrad: Gosenergoizdat, 1962. 248 p.

11. Jiles, D.C., Atherton, D.L. Theory of ferromagnetic hysteresis. Journal of Magnetism and Magnetic Materials, 1986, vol. 61, issue 1–2, pp. 48–60.

12. Sirota, I.M. Sposob izmereniya induktivnosti rasseyaniya obmotok transformatorov toka [Method for measuring leakage inductance of current transformer windings]. Author’s Certificate USSR, no. 311217, 1971.

Key words in Russian: 
трансформатор тока, кривая намагничивания, насыщение магнитопровода, ветвь намагничивания
Key words in English: 
current transformer, magnetization curve, magnetic core saturation, magnetizing branch
The DOI index: 
10.17588/2072-2672.2026.2.049-056
Downloads count: 
13