Methodology for determining null consequency current in one-phase locations on the ground in the energy systems of mining enterprises

In the power systems of mining enterprises with 6–10 kV networks with isolated neutrals, the task of selective and highly sensitive detection of single-phase ground closures is particularly relevant. Traditional relay protections and control systems do not provide the required sensitivity at low leakage currents, are poorly adapted to changes in network schemes and load modes, leading to non-selective disconnections, unjustified shutdowns of technological equipment, and increased energy losses. The work proposes a method for determining zero-sequence current based on an improved magnetic modulation sensor with a sensitivity of up to 1-2 mA, which is used instead of classical current transformers. The sensors are installed according to a longitudinal differential scheme at the entrance and exit of the controlled section, allowing for the calculation of differential current and the reliable recording of single-phase ground fault occurrences. It is proposed to organize measurement information exchange between sensors via Wi-Fi channels or specialized signal lines, and to prevent false activations, an additional logical block for confirming emergency mode is introduced. The implementation of the proposed methodology as part of intelligent control and management systems for the energy systems of mining enterprises allows for increased selectivity in disconnecting damaged sections, reducing technological equipment downtime, and increasing the overall energy and resource efficiency of the technological process of mining enterprises.

Ataullayev N. O., Karshibayev A. I., Ataullayeva N. B. Methodology for determining null consequency current in one-phase locations on the ground in the energy systems of mining enterprises. MIAB. Mining Inf. Anal. Bull. 2026;(12):171-184. [In Russ]. DOI: 10.25018/0236_1493_2026_12_0_171.

This article is presented within the framework of the Resolution of the President of the Republic of Uzbekistan No. PP-436 dated December 2, 2022 «On measures to improve the effectiveness of reforms aimed at transitioning the Republic of Uzbekistan to a "green" economy until 2030.»

N.O. Ataullayev¹, PhD, Associate Professor, Associate Professor of the «Electric Power Engineering» department, e-mail: nodir-82@list.ru, ORCID ID: 0000-0002-1689-813X,
A.I. Karshibayev¹, DSc, Professor, Dean of the Faculty of Energy Mechanics, e-mail: a_karshibaev@mail.ru, ORCID ID: 0000-0003-1088-4041,
N.B. Ataullayeva, Teacher, Karmana Polytechnic School No. 2, Navoi, Republic of Uzbekistan
¹ Navoi State Mining and Technology University, 210100, Navoi, Republic of Uzbekistan.

N.O. Ataullayev, e-mail: nodir-82@list.ru.

1. Ataullaev N. O., Deryugina E. A., Murodov Kh. Sh. Static characteristics of DC converters with magnetic modulation and an analog filter. Science and technology. 2023, no. 5, pp. 428—432. [In Russ]. DOI: 10.21122/2227-1031-2023-22-5-428-432.

2. Bala Prasad M., Ganesh P., Vinay Kumar K., Mohanarao P. A., Aakula Swathi, Vasupalli Manoj Renewable energy integration in modern power systems: challenges and opportunities. E3S Web of Conferences. 2024, vol. 591, article 03002. DOI: 10.1051/e3sconf/202459103002.

3. Merey Jetpissov, Kazhybek Tergemes, Saken Sheryazov, Algazy Zhauyt, Toleuserik Sadykbek, Abdissattar Berdibekov, Gulbarshyn Smailova A selective method for identifying single-phase ground faults with transient resistance in isolated neutral medium-voltage networks. Energies. 2025, vol. 18, no. 21, article 5699. DOI: 10.3390/en18215699. 

4. Mukhtorov A. F., Gafurov M. O., Annayev Z. Y. Reliability of electrical systems of enterprises with continuous technological processes. Universum: technical sciences. 2020, no. 11(80). [In Russ]. URL: https://7universum.com/ru/tech/archive/item/10863.

5. Andréia da Silva Santos, Lucas Teles Faria, Mara Lúcia M. Lopes, Anna Diva P. Lotufo, Carlos R. Minussi Efficient methodology for detection and classification of short-circuit faults in distribution systems with distributed generation. Sensors. 2022, vol. 22, no. 23, article 9418. DOI: 10.3390/s22239418. 

6. Yilong Kang, Huanruo Qi, Rui Liu, Xiangyang Yan, Chen Chen, Fei Guo, Fang Guo, Xiaoxiao Dong Short-circuit current calculation of single-phase to ground fault in petal-shaped distribution network. Processes. 2025, vol. 13, no. 8, article 2393. DOI: 10.3390/pr13082393. 

7. Mosin D. A., Tsvetkov A. Yu., Prokhorov M. A. Methodological approach to improving automated control systems for complex special-purpose organizational and technical systems based on the implementation of artificial intelligence technologies. Theoretical Foundations, Calculations, and Design. 2021, pp. 3—14. [In Russ]. DOI: 10.53816/23061456_2021_11—12_3. 

8. Nazarychev A. N., Ustinov D. A., Pelenyev D. N., Babyr K. V. Investigation of protection against single-phase ground closures based on measuring reverse-sequence current. Electricity. 2024, no. 2, pp. 31—41. [In Russ]. DOI: 10.24160/0013-5380-2024-2-31-41.

9. Romanyuk F. A., Rumyantsev Yu. V., Rumyantsev V. Yu., Novash I. V. Improving the algorithm for forming orthogonal components of input quantities in microprocessor protections. Energy. Proceedings of Higher Educational Institutions and CIS Energy Associations. 2021, vol. 64, no. 2, pp. 95—108. [In Russ]. DOI: 10.21122/1029-7448-2021-64-2-95-108.

10. Romanyuk F. A., Rumyantsev V. Yu., Rumyantsev Yu. V. Digital filters of symmetrical components of input signals of microprocessor protections of electrical installations. Energy. Proceedings of Higher Educational Institutions and CIS Energy Associations. 2023, vol. 66, no. 1, pp. 5—17. [In Russ]. DOI: 10.21122/1029-7448-2023-66-1-5-17. 

11. Nosenko V. A., Silaev A. A., Efremkin S. I. Overview of wireless technologies used for automating technological processes. Don Engineering Bulletin. 2019, no. 1(52). [In Russ]. https://www.ivdon.ru/-back_media/uploads/article/pdf/IVD_200_Nosenko.pdf_bc9f4b2f02.pdf.

12. Jiawei Yuan, Tong Wu, Yanjie Hu, Zaibin Jiao Faulty feeder detection based on image recognition of voltage-current waveforms in noneffectively grounded distribution networks. International Journal of Electrical Power & Energy Systems. 2022, vol. 143, article 108434. DOI: 10.1016/j.ijepes.2022.108434.

13. Xianmin Mu, Qiyu Sheng, Jialin Li, Siqi Yu, Jiahao Zhang Fault detection system of single-phase grounding based on electric field sensor. IEEE Conference on Industrial Electronics and Applications (IEACon). Malaysia. 2022, pp. 61—66. DOI: 10.1109/IEACon55029.2022.9951738. 

14. Ataullayev N., Tatkeyeva G., Kurabayev I., Murodov X. Experimental research of the developed method to determine the network insulation for ungrounded AC systems in laboratory conditions. International Conference on Electrical, Computer and Energy Technologies. Prague, Czech Republic. 2022, pp. 1—4. DOI: 10.1109/ICECET55527.2022.9873012. 

15. Aleshin K. S., Kuzmina N. V., Semushkin A. A., Shadrikova T. Y., Shuin V. A. Multi-frequency directional protection against earth faults in uncompensated 6–10 kV networks. Vestnik IGEU. 2025, no. 5, pp. 39—49. [In Russ]. DOI: 10.17588/2072-2672.2025.5.039-049. 

16. Hang Wang, Tianhu Weng, Wenfang Ding, Shuai Yang, Zheng Xiao, Hang Li, Jun Chen Phase selection method for 10 kv three-core cables under single-phase grounding fault transient based on surface magnetic field sensing. Sensors. 2026, vol. 26, no. 3, article 1016. DOI: 10.3390/s26031016. 

17. Amirov S. F., Mukhimov Sh. S., Yuldashev N. R. Development of a mathematical model for a current transformer with automatic range control using the parametric structural scheme method. Railway Transport: Current Issues and Innovations. 2023, vol. 3, no. 3, pp. 55—61. [In Russ]. https://transportjournals.-com/index.php/InnoTrans/article/view/53.

18. Georgeta B., Antonov A., Constantin B. Aspects of the earthing and short-circuit device’s safety quality. MATEC Web of Conferences. 2022, vol. 373, article 00057. DOI: 10.1051/matecconf/202237300057. 

19. Karshiboev A. I., Ataullaev N. O., Rakhimova Sh. Development of an imitation model of the magnetic system MDM of a microprocessor protective device for measuring TNP in power systems. International journal of advanced technology and natural science. 2025, vol. 3(6), pp. 156—161. [In Russ]. DOI: 10.24412/2181-144X-2025-3-156-161.

20. Hongchun Shu, Yaqi Deng, Jun Dong, Pulin Cao, Bo Yang, Zhiqian Bo A detection method of high impedance arcing fault for distribution network with distributed generation based on CEEMDAN and TEO algorithm. International Transactions on Electrical Energy Systems. 2021, vol. 31, no. 22, pp. 1—17. DOI: 10.1002/2050-7038.12926. 

21. Mohammadi A., Jannati M., Shams M. A protection scheme based on conditional generative adversarial network and convolutional classifier for high impedance fault detection in distribution networks. Electric Power Systems Research. 2022, vol. 212, article 108633. DOI: 10.1016/j.epsr.2022.108633. 

22. Shabanov V. A., Sorokin A. V. Determination of single-phase closing currents in a network with an isolated neutral. XIII Vserossiyskaya nauchno-prakticheskaya konferentsiya molodykh uchenykh «Rossiya Molodaya» [XIII All-Russian Scientific and Practical Conference of Young Scientists «Young Rossia»], Kemerovo, 2021, pp. 021323.1-8. [In Russ]. https://science.kuzstu.ru/wp-content/Events/Conference/RM/-2021/RM21/pages/Articles/021323.pdf.

23. Masoom A., Mahseredjian J., Ould-Bachir T., Guironne A. MSEMT: An advanced modelica library for power system electromagnetic transient studies. IEEE Transactions on Power Delivery. 2021, vol. 37, no. 4, pp. 2453—2463. DOI: 10.1109/TPWRD.2021.3111127.