Abstract
During fault or transient conditions, the current in the secondary winding of conventional current transformers (CCT) undergoes significant distortion due to residual magnetization of the core caused by a primary current increase. This phenomenon can lead to non-selective or false tripping of relay protection and automation devices, meanwhile the current in the measuring circuits can tend to zero. Nowadays, several methods to compensate the effect of current transformer saturation on secondary winding exist in digital substations. To understand the advantages and disadvantages of various methods, this paper provides a comparative analysis and numerical evaluation of several CCT saturation compensation methods. In this paper, a model of a saturated CCT operating under a three-phase short circuit was studied. As a result, it was found that none of the existing methods can be applied to real-time compensation of CCT saturation in a real power system. In addition to examining and comparing the existing methods, this article presents relatively new methods for secondary current waveform reconstruction based on machine learning. To study its effectiveness, 44.000 cases of CCT saturation were simulated. The most effective methods demonstrated the ability to fully restore secondary current in saturated mode with an average error of approximately 2%. According to the results, further study of this issue regarding the possibility of applying this method in real power systems are needed.
Keywords
saturation of measuring current transformers, restoration of the secondary current waveform, differentiation, equivalent circuit, Gills-Atherton model, least squares method, neural network, machine learning
1. Romanyuk F.A., Tishechkin A.A., Rumyancev V.Y., Novash I.V., Bobko N.N., Glinski E.V. The influence of current transformer saturation on the operation of current protection systems. Energetika. Izvestiya vysshikh uchebnykh zavedeniyi energeticheskikh obyedineniy SNG [Energetika. Proceedings of CIS higher education institutions and power engineering associations], 2010, no. 1(2010), pp. 5-9. (In Russian)
2. State Standard R 58669-2019 United power system and isolated power systems. Relay protection. Inductive measuring current transformers for protection with a closed magnetic circuit. Methodology guidelines for determination of time to saturation during short circuits. Moscow, Standartinform Publ., 2020. 63 p. (In Russian)
3. Riyas A.M., Vimalraj M., Arjuna R.S. Saturation Analysis of Current Transformer. International Journal of Research and Review. 2015, no. 2(6), pp. 337-342
4. Kuzhekov S.L., DegtyarevА.А., DoniN.А., ShurupovА.А., PetrovА.А., Kostarev L.N., Koshelkov I.А. Analysis of non-selective actions of differential protection of busbars during external single-phase short circuits with saturation of current transformers in the undamaged phase. Releynaya zashchita i avtomatizatsiya [Advancement of Relay Protection, Automation and Control in Electric Power Engineering], 2019, no. 1 (34), pp. 28-36. (In Russian)
5. Belčević N.M., StojanovićZ. N. Algorithm for phasor estimation during current transformer saturation and/or DC component presence: definition and application in arc detection on overhead lines. IET Generation, Transmission & Distribution. 2020, no. 14(7), pp. 1378-1388. doi: 10.1049/iet-gtd.2019.0787
6. Wiszniewski A., Rebizant W., Schiel L. Correction of Current Transformer Transient Performance. IEEE Transactions on Power Delivery. 2008, no. 23 (2). doi: 10.1109/TPWRD. 2008.915832
7. Kang Y.-C., Kang S.-H., Crossley P. An algorithm for detecting CT saturation using the secondary current third-difference function. Bologna Power Tech Conference. IEEE, 2003. doi: 10.1109/PTC.2003.1304742
8. Sahebi A., Askarian-Abyaneh H., Sadeghi S.H.H., Samet H., Malik O.P. Efficient method for differential protection of power transformer in the presence of the fault current limiters. IET Generation, Transmission & Distribution. 2023, no. 17 (17). doi: 10.1049/gtd2.12937
9. Zhou S., Wei P., Li X., Jiang L. An online diagnosis method for the inter-turn fault of current transformer based on ΔI-E curves. Journal of Physics Conference Series. 2023, no. 2656 (1). doi: 10.1088/1742-6596/2656/1/012028
10. Rumyancev Y.V. Determination of current transformer saturation based on the use of an artificial neural network. Energetika. Izvestiya vysshikh uchebnykh zavedeniyi energeticheskikh obyedineniy SNG [Energetika. Proceedings of CIS higher education institutions and power engineering associations], 2023, vol. 66, no. 3, pp. 233-245. (In Russian). doi: https://doi.org/10.21122/1029-7448-2023-66-3-233-245
11. Schons F.K., Santos E.M., Da Silva C.D.L., Kilian E.D., Oliveira F., Severo L.B. Performance Analysis of Clarke Components Prediction via Derivative-Functions of Different Orders Applied in Digital Frequency Estimation in Electric Power Systems. 6th International Conference on Green Energy and Applications (ICGEA). IEEE, 2022. doi: 10.1109/ ICGEA54406.2022.9792100
12. Odinaev I., Gulakhmadov A., Murzin P., Tavlincev A., Semenko S., Kokorin E., Safaraliev M., Chen X. Comparison of Mathematical Methods for Compensating a Current Signal under Current Transformers Saturation Conditions. Sensors. 2021, no. 21 (21), 7273. doi: 10.3390/s21217273
13. Jarrahi M.A., Samet H., Ghanbari T. Fault Detection in DC Microgrid: A Transient Monitoring Function-Based Method. IEEE Transactions on Industrial Electronics. 2023, no. 70 (6), pp. 6284-6294. doi: 10.1109/TIE.2022.3194580
14. Odinaev I., Pazderin A.V., Murzin P.V., Tashchilin V.A., Samoylenko V.O., Ghoziev B.N. Detection of the initial region of the current transformer core saturation. Renewable Energies & Power Quality Journal. 2021, no. 19 (4). doi: 10.24084/repqj19.322
15. Ozgonenel O., Terzi U.K., Petričenko L., Petričenko R. Current Transformer Modeling for Compensating Algorithms. Fourth International Conference on Power Engineering, Energy and Electrical Drives. IEEE, 2013. doi: 10.1109/PowerEng.2013.6635663
16. Fallahi A., Ramezani N., Ahmadi I. Current Transformers’ Saturation Detection and Compensation Based on Instantaneous Flux Density Calculations. Automatika. 2016, no. 57 (4), pp. 1070-1078. doi: 10.7305/automatika.2017.04.1555
17. Zhang D., Chen J.C., Phung T. Study on Transient and Frequency Response of Current Transformer Using Jiles-Atherton Model. Tencon - Spring. IEEE, 2013. doi: 10.1109/TENCONSpring.2013.6584451
18. Iliev I.K., Kryukov A., Suslov K., Kodolov N., Kryukov A., Beloev I., Valeeva Y. Modeling of Measuring Transducers for Relay Protection Systems of Electrical Installations. Sensors. 2025, no. 25 (2). doi: 10.3390/s25020344
19. Atiyah W.A., Karimi S., Moradi M. Transformer Differential Protection Method for Recognition between Power Transformer Internal Defects and Inrush Current: A Comprehensive Review of detection Techniques. Applied Science and Engineering Progress. 2025, no. 18(1). doi: 10.14416/j.asep. 2024.07.008
20. Annakkage U.D., McLaren P.G., Dirks E., Jayasinghe R.P., Parker A.D. A current transformer model based on the Jiles-Atherton Theory of ferromagnetic hysteresis. IEEE Transactions on Power Delivery. 2000, no. 15(1). Pp. 57-61. doi:10.1109/61.847229
21. Shi D.Y., Buse J., Wu Q.H., Jiang L. Fast Compensation of Current Transformer Saturation. PES Innovative Smart Grid Technologies Conference Europe (ISGT Europe). IEEE, 2010. doi: 10.1109/ISGTEUROPE.2010.5638931
22. Yu D.C., Cummins J.C., Wang Zh., Yoon H.-J., Kojovic L.A. Correction of Current Transformer Distorted Secondary Currents Due to Saturation Using Artificial Neural Networks. IEEE Transactions on Power Delivery. 2001, no. 16(2). doi: 10.1109/61.915481
23. Bhat S. Reconstruction of CT Secondary Waveform Using ANN and Exponential Smoothing. International Journal of Engineering Development and Re-search. 2014, no. 2(4), pp. 3559-3564.
24. Severo L.B., Santos E.M., Silva C.D.L., Oliveria F.A., Kilian E.D., Schons F.K. A Proposal for Detection and Correction of the Secondary Waveform of Current Transformers through Artificial Neural Networks. PES Generation, Transmission and Distribution Conference and Exposition – Latin America (IEEE PES GTD Latin Amer-ica). IEEE, 2023. doi:10.1109/IEEEPESGTDLatinAmeri53482.2022.10037780
25. Odinaev I., Abdel-Aty A.-H., Pazderin A., Safaraliev M., Matrenin P., Senyuk M., Menaem A.A., Kanan M. Restoration of the current transformer secondary current under core saturation conditions based on ANN. Heliyon. 2024, no. 10 (18). doi: 10.1016/j.heliyon.2024.e37960 26. Haghjoo F., Pak M.H. Compensation of CT Distorted Secondary Current Waveform in Online Conditions. IEEE Transactions on Power Delivery. 2016, no. 31(2), pp. 711-720. doi: 10.1109/TPWRD.2015.2448634
Dubrovin P.P., Odinaev I.N., Pazderin A.V. Secondary Current Restoration Methods for Saturated Conventional Current Transformers. Elektrotekhnicheskie sistemy i kompleksy [Electrotechnical Systems and Complexes], 2025, no. 4(69), pp. 23-31. (In Russian). https://doi.org/10.18503/2311-8318-2025-4(69)-23-31
