Vol. 337 No. 2 (2026)

DOI https://doi.org/10.18799/24131830/2026/2/5403

Advanced voltage selection model for a gas field electrical distribution grid

Relevance. In the development of a gas fields, an important function is performed by the power supply system. One of the main criteria affecting the reliability of the power supply system is the correctly selected voltage class. In a market economy, on the one hand, the power supply system must be technically reliable, providing continuous power supply to consumers, on the other hand, it must be optimal in terms of capital and operating costs. Existing mathematical models for selecting the voltage class are based on the life cycle of a field, but they do not take into account the drilling period. Currently, many oil and gas companies are forming requirements for the power supply of drilling rigs via two overhead power line circuits. Aim. To develop a mathematical model for the rational choice of voltage for an electric distribution grid, taking into account the drilling period of gas wells and the entire life cycle of gas field development. Object. The power supply scheme of a gas field. Methods. Theory of experimental planning, calculation of discounted costs, statistical method. Results and conclusions. It was revealed that the nature of the electrical load of the drilling rig has a sharply variable load schedule, while that of a gas-condensate well cluster is uniform. To account for the feature of the electrical load, it is proposed to introduce the simultaneity coefficient in the mathematical model. Thus, the mathematical models take into account five factors: the number of gas-condensate well clusters, the length of the power line, the load growth coefficient, the load distribution coefficient, and the simultaneity coefficient. The authors have developed a mathematical model for choosing rational voltage and seven mathematical models for calculating discounted costs for voltage classes 3, 6, 10, 20, 35, 110, 220 kV. Mathematical models have the form of a regression equation of a polynomial type. The significance of the coefficients of the polynomials is estimated using the Student's t-criterion. The adequacy of mathematical models is verified by the Fisher's criterion. The accuracy of the model calculation is 11.36%, which is considered sufficient for technical and economic tasks. The rational voltage of the distribution electric grid of a particular deposit (Urat=35 kV) was selected. It was established that a correctly selected voltage class at the design stage, taking into account the drilling period and the entire life cycle of the field operation, can save up to 40% of discounted costs for the development of the distribution grid.

Keywords:

drilling rig, voltage selection, discounted costs, experimental planning theory, cluster of gas wells, deposit, simultaneity coefficient, distribution grid, electrical load

Authors:

A.A. Yarkina

R.N. Khamitov

A.S. Sorogin

O.V. Arkhipova

References:

1. Norouzi H., Golchoob Firoozjaee M., Rezaei M. Investigation of distribution system modification using operation voltage unification in order to decrease interruptions in dust climate. Heliyon, 2024. DOI: 10.1016/j.heliyon.2024.e37335.

2. American National Standard for Electric Power Systems and Equipment – Voltage Ratings (60 Hertz). USA, National Electrical Manufacturers Association, 2020. 7 p.

3. IEEE Recommended Practice for Electric Power Distribution for Industrial Plants. NY, IEEE, 1993. 765 p.

4. Antunes T., Castro R., Santos P.J., Pires A.J. Technology selection of high-voltage offshore substations based on artificial intelligence. Energies, 2024, vol. 17. DOI: 10.3390/en17174278.

5. Duan J., Li Z., Zhou Y., Wei Z. Study on the voltage level sequence of future urban DC distribution network in China: A Review. International Journal of Electrical Power & Energy Systems, 2020, vol. 117. DOI: 10.1016/j.ijepes.2019.105640.

6. Pedrini F., Donadel C.B. Enhancing energy efficiency in medium-voltage distribution networks through voltage level elevation: a technical and economic assessment. Energy Efficiency First, 2024. DOI: 10.1016/j.eef.2025.100002.

7. Khan A.A., Minai A.F. Different voltage selection criteria and insulation design of a transmission line for HV, EHV & UHV system. International Journal of Advanced Technology & Engineering Research, 2012, vol. 2, Iss. 2, pp. 73–79.

8. Fatma A. F. Determining the optimum medium voltage level by analysis of different voltage levels. World Journal of Environmental Research, 2020, vol. 10, Iss. 2, pp. 37–49. DOI: 10.18844/wjer.v10i2.5344.

9. Neklyudova P.A. Selection of the nominal voltage of an electrical network. Theory and practice of modern science, 2017, no. 2 (20), pp. 424–428. (In Russ.)

10. Uzbekov M.O., Nematzhonov A.A.U. Selecting voltage based on known line length and transmitted power. Modern innovations, 2019, no. 2 (30), pp. 30–34. (In Russ.)

11. Cherepanov V.V., Suvorova I.A. Researching of technical and economic expediency of applicability 20 kV voltage in urban power networks. Energy security and energy saving, 2012, no. 5 (47), pp. 12–14. (In Russ.)

12. Vakhnina V.V., Chernenko A.N. Design of power supply systems: electronic teaching aid. Tolyatti, Tolyatti State University Publ., 2016. 78 p. (In Russ.)

13. Balashov O.P. Electricity supply. Rubtsovsk, Rubtsovsk Industrial Institute Publ., 2013. 53 p. (In Russ.)

14. Ershov A.M. Power supply systems. P. 4: Power supply of industrial enterprises and cities. Chelyabinsk, South Ural State University Publ., 2020. 324 p. (In Russ.)

15. Koshchuk G.A., Kosarev B.A., Fedorov V.K. Optimized voltage of energy source definition for power system with dispersed generation. Omsk Scientific Bulletin, 2018, no. 6 (62), pp. 115–118. (In Russ.)

16. Fedorov A.A., Kameneva V.V. Basics of power supply to industrial enterprises. 4th ed., revised and expanded. Moscow, Energoatomizdat Publ., 1984. 472 p. (In Russ.)

17. Bogachkov I.M. Decision support for selecting a rational voltage for a gas field's power supply system, taking into account its life cycle. Cand. Diss. Omsk, 2021. 195 p. (In Russ.)

18. Bogachkov I.M., Khamitov R.N., Valiev M.K. The choice of the optimal voltage class of gas field electricity supply system. Electrotechnical Systems and Complexes, 2020, no. 4 (49), pp. 35–41. (In Russ.)

19. Bogachkov I.M. Mathematical models for calculating the optimal voltage of the external electricity supply system for gas fields obtained using the experiment planning theory. Electrotechnical Systems and Complexes, 2021, no. 1 (50), pp. 4–9. (In Russ.)

20. Bogachkov I.M. External power supply system optimization by choosing a progressive voltage class considering the total life cycle of a gas field. Journal of Transsib Railway Studies, 2020, no. 2 (42), pp. 114–130. (In Russ.)

21. Bogachkov I.M., Khamitov R.N., Frayshteter V.P. Estimation of electric loads dynamics in the gas fields of Western Siberia taking into account the life cycle of the fields. IOP Conference Series: Materials Science and Engineering. 2021. DOI: 10.1088/1757-899X/1118/1/012015.

22. Lipatov E.Yu. Technology of drilling oil and gas wells. Tyumen, Industrial University of Tyumen Publ., 2022. 191 p. (In Russ.)

23. STO Gazprom 2-6.2-1028-2015. Categorization of electrical receivers of industrial facilities of PJSC Gazprom: organization standard: official publication: approved and put into effect by Order of PJSC Gazprom No. 366 dated February 1, 2016: replacing STO Gazprom 2-6.2-149-2007. Moscow, House Poligrafiya LLC Publ., 2015. 65 p. (In Russ.)

24. Electrical Installation Rules: all current sections of PUE-6 and PUE-7. 9th ed. – Novosibirsk, Sib. Univ. Publ., 2008. 854 p. (In Russ.)

25. Bogachkov I.M. The study of the power supply system of the existing gas fields in Western Siberia using the theory of experimental planning. IOP Conference Series: Materials Science and Engineering, 2021. DOI: 10.1088/1757-899X/1118/1/012030

26. Bogachkov I.M., Khamitov R.N., Freishteter V.P. Assessment of the dynamics of electrical loads of gas fields in Western Siberia taking into account the life cycle of the field. Modern problems of mechanical engineering. Materials of the XIII International scientific and practical conference. Tomsk, 2020. pp. 71–72. (In Russ.)

27. Bogachkov I.M. Designing power supply systems with account to the entire life cycle of the gas field as exemplified by the existing fields in Western Siberia. IOP Conference Series: Earth and Environmental Science, 2021, vol. 720, no. 1, pp. 012096.

28. Sherzhukov E.R., Okhlopkov D.O. Problems and risks of using energy storage devices. Bulletin of Science, 2023, no. 7 (64), pp. 353–357. (In Russ.)

29. Kamanina M.A., Demidova A.M., Okhlopkov D.O. Prospects for the application of energy storage systems. Bulletin of Science, 2023, no. 7 (64), pp. 14–22. (In Russ.)

30. Poloskov S. Electric energy storage devices for drilling rigs. (In Russ.) Available at: https://www.elec.ru/publications/peredacha-raspredelenie-i-nakoplenie-elektroenergi/7676/?ysclid=mhpwrdv1o4953527238 (accessed 10 October 2025).

31. Bogachkov I.M., Khamitov R.N. Optimizing the power supply system of the gas well clusters by choosing a progressive voltage class considering the total life cycle of a gas field. IOP Conference Series: Earth and Environmental Science. International Science and Technology Conference "Earth Science", 2021, pp. 012075.

32. Bogachkov I.M. Selecting the voltage class for a system of external power supply system for the entire life cycle of a gas field. IOP Conference Series: Earth and Environmental Science. Ser. International Science and Technology Conference "Earth Science", 2021, pp. 012097.

33. Sidnyaev N.I. Theory of experiment planning and statistical data analysis. Moscow, Yurayt Publ., 2026. 495 p. (In Russ.)

34. Bogachkov I.M., Khamitov R.N. The coefficient of load distribution along the power transmission line as a factor in selecting the voltage class. Dynamics of systems, mechanisms and machines. Proc. of the XIV International IEEE Scientific and Technical Conference. Omsk, November 10–12, 2020. Omsk, OmskGTU Publ., 2020. Vol. 8, no. 3, pp. 30–36. (In Russ.)

35. Bogachkov I.M., Khamitov R.N. The algorithm for selecting the optimal voltage class of the gas field power supply system, taking into account the entire life cycle. Journal of Physics: Conference Series. 5. Ser. "V International Scientific and Technical Conference "Mechanical Science and Technology Update". Omsk, 2021. pp. 012068.

36. Guidelines for assessing the effectiveness of investment projects (second edition, revised and supplemented). Approved by Ministry of Economy of the Russian Federation, Ministry of Finance of the Russian Federation, State Committee of the Russian Federation for Construction, Architectural and Housing Policy of 21.06.1999 No. VK 477. (In Russ.) Available at: https://normativ.kontur.ru/document?moduleId=1&documentId=8730 (accessed 10 October 2025).