Vol. 337 No. 5 (2026)
DOI https://doi.org/10.18799/24131830/2026/5/5562
Static stability calculation applying the theory of experiment design for complex power supply system of gas field
Relevance. The need to assess static stability in power supply systems with distributed generation during gas field design. Designers develop and analyze various power supply scheme options at early stages to define the system concept. Complex systems demand extensive computations for static stability, requiring significant labor and time per conceptual scheme variant. Aim. Development of a mathematical model for the complex power supply system of a gas field occurs. The model calculates static stability using the theory of experiment design. It boosts efficiency in developing the electrical engineering section of design documentation. Object. Main power supply scheme "one through main line". Methods. Mathematical modeling, statistical analysis, theory of experiment design, and simulation modeling with the Matlab software package. Results and conclusions. The authors carried out the analysis of existing static stability calculation methods for complex systems identifies optimization parameters. They determined the most significant affecting factors and their variation ranges follows. The paper introduces the regression equations for maximum transmissible power and static stability margin coefficient appear. The authors calculated static stability occurs for a gas field with a "one through main line" scheme and two distributed generation sources using standard methods. According to the classical synchronous machine stability theory underpins the traditional method the authors constructed a simulation model in Matlab and determined system static stability. Calculation applies the regression equation for static stability. Performance of static stability calculations uses the derived regression equations. The paper introduces comparison of results from all three methods ensues. The error in stability margin coefficient from the regression equation versus the classical method stays below 10%. Comparison of computation times across the three methods also occurs. Regression equation calculations show major time advantages. Thus, research results confirm the model applicability derived via design of experiments theory at the conceptual design stage for gas fields. This enhances efficiency in electrical engineering design documentation development.
For citation: Baturin N.S., Bogachkov I.M., Khamitov R.N., Zherebtsov S.N. Static stability calculation applying the theory of experiment design for complex power supply system of gas field. Bulletin of the Tomsk Polytechnic University. Geo Assets Engineering, 2026, vol. 337, no. 5, pp. 144-159. https://doi.org/10.18799/24131830/2026/5/5562
Keywords:
static stability, theory of experiment design, distributed generation, gas field, synchronous generator, regression equation
References:
1. Kosarev B.A., Fedorov V.K., Khamitov R.N. Modeling the connection of a prosumer inparallel operation with the power supply system of an oil and gas production enterprise. Bulletin of the Tomsk Polytechnic University. Geo Аssets Engineering, 2020, vol. 331, no. 8, pp. 144–153. (In Russ.) DOI: 10.18799/24131830/2020/8/2776.
2. Kosarev B.A., Koshchuk G.A., Fedorov V.K., Polyntsev L.G. Dynamic redistribution of power sources in an electrical system with distributed generation. Omsk Scientific Bulletin, 2019, vol. 2 (164), pp. 50–55. (In Russ.) DOI: 10.25206/1813-8225-2019-164-50-55.
3. SS 20375-2014. Electrogenerator sets with internal combustion engines. Terms and definitions. Moscow, Standartinform Publ., 2015. 12 p. (In Russ.)
4. Glazyrin A.S., Bolovin E.V., Arkhipova O.V., Kovalev V.Z., Khamitov R.N., Kladiev S.N., Filipas A.A., Timoshkin V.V., Kopyrin V.A. Adaptive short-term forecasting of electricity consumption by autonomous power systems of small northern settlements based on retrospective regression analysis methods. Bulletin of the Tomsk Polytechnic University. Geo Аssets Engineering, 2023, vol. 334, no. 4, pp. 231–248. (In Russ.) DOI: 10.18799/24131830/2023/4/4213.
5. Hossain A., Negnevitsky M., Wang X., Franklin E., Hassan W., Hossein M.A., Gray E., Hosseinabadi P.A. Control System Design Challenges in Renewable Energy based Offshore DC Microgrids. International Marine Energy Journal, 2026, vol. 8, pp. 459–464. DOI: 10.36688/imej.8.459-464.
6. SS 51238-2025. Renewable energy. Small hydropower. Terms and definitions. Moscow, Standartinform Publ., 2026. 16 p. (In Russ.)
7. Sikiru A., Shu'aibu Y., Amoo A., Sadiq A., Yisah Y. Potential of renewable energy sources for distributed generations: an overview. International Journal of Scientific Advances, 2023, vol. 4. pp. 107–117. DOI: 10.51542/ijscia.v4i1.21.
8. Ilyushin P.V. Integration of power plants based on renewable energy sources in the Unified Energy System of Russia: review of problematic issues and approaches to their solution. Bulletin of the Moscow Power Engineering Institute. Bulletin of the MEI, 2022, no. 4, pp. 98–107. (In Russ.) DOI: 10.24160/1993-6982-2022-4-98-107.
9. Fose N., Singh A.R., Krishnamurthy S., Ratshitanga M. P.Moodley Empowering distribution system operators: a review of distributed energy resource forecasting techniques. Heliyon, 2024. vol. 10 (15), pp. 1–27. DOI: 10.1016/j.heliyon.2024.e34800.
10. Gu S., Lu Y., Gu H. Comparative study on static voltage stability indices of new energy power station grid-connected system. Journal of Engineering Research and Reports, 2025, vol. 27, pp. 524–532. DOI: 10.9734/jerr/2025/v27i3144.
11. Arechkik A., Loudiyi K., Aggour M. Steady state and dynamic analysis of renewable energy integration into the grid using PSS/E software. Energy Procedia, 2017, vol. 141, pp. 119–125. DOI: 10.1016/j.egypro.2017.11.023.
12. Venikov A.V. Transient electromechanical processes in electrical systems. Moscow, Vysshaya shkola Publ., 1985. 536 p. (In Russ.)
13. Kulikov Yu.A. Transient processes in electrical systems. Novosibirsk, Novosibirsk State Technical University Publ., 2006. 278 p. (In Russ.)
14. Gurevich Yu.E., Libova L.E., Okin A.A. Calculations of stability and emergency automation in power systems. Moscow, Energoatomizdat Publ., 1990. 392 p. (In Russ.)
15. Hemming R.V. Numerical methods for scientists and engineers. Moscow, Nauka Publ., 1972. 400 p. (In Russ.)
16. Pirumov U.G. Numerical methods. Moscow, Yurayt Publ., 2026. 421 p. (In Russ.)
17. Shi J., Cai Y., Hong X. Early-stage power system planning for remote industrial facilities. IEEE Transactions on Power Delivery, 2020, vol. 35, pp. 892–902. DOI:10.1093/ietfec/e91-a.12.3443.
18. Hu J. Stability analysis and optimization of power grids with high penetration of renewable energy: a comprehensive review. Applied and Computational Engineering, 2025, vol. 147, pp. 232–237. DOI:10.54254/2755-2721/2025.22914.
19. Gurevich Yu.E., Ilyushin P.V. Features of regime calculations in energy districts with distributed generation. Monograph. Nizhny Novgorod, RANEPA Publ., 2018. 280 p. (In Russ.)
20. Sopov V.I., Shchurov N.I. Power supply of oil and gas complexes and production facilities. Novosibirsk, NSTU Publ., 2017. 168 p. (In Russ.)
21. Milano F. An open source power system analysis toolbox. IEEE Transactions on Power Systems, 2005, vol. 20, pp. 1199–1206. DOI: 10.1109/TPWRS.2005.851911.
22. Pierobon L., Iyengar K., Breuhaus P., Kandepu R., Haglind F., Hana M. Dynamic stability analysis of offshore oil and gas platform power systems. IEEE Transactions on Industry Applications, 2019, vol. 55, pp. 3782–3792. DOI: 10.1115/GT2014-25497.
23. Venikov A.V. Theory of similarity and modeling. Moscow, Vysshaya shkola Publ., 1976. 479 p. (In Russ.)
24. Adler Yu.P., Markova E.V., Granovsky Yu.V. Experiment planning in the search for optimal conditions. Moscow, Nauka Publ., 1976. 279 p. (In Russ.)
25. SO 153-34.20.576-2003. Methodological guidelines on power system stability. Moscow, NTC ENAS Publ., 2004. 18 p. (In Russ.)
26. Eid A., Alsafrani M. Multi-criteria assessment of optimization methods for controlling renewable energy sources in distribution systems. Scientific Reports, 2025, vol. 15, pp. 1–9. DOI: 10.1038/s41598-025-20339-5.
27. STO Gazprom 2-6.2-1028-2015. Power receiver categorization of industrial facilities of PJSC Gazprom. Moscow, Gazprom Publ., 2015. 65 p. (In Russ.)
28. Baturin N.S., Bogachkov I.M., Khamitov R.N. A distribution point placement on the general plan of the assembly point, taking into account the entire life cycle of a gas field. Bulletin of the Tomsk Polytechnic University. Geo Аssets Engineering, 2024, vol. 336, no. 5, pp. 195–206. (In Russ.) DOI: 10.18799/24131830/2025/5/4903.
29. Baturin N.S., Khamitov R.N., Shlyk Yu.K., Litvinova N.A., Stepanov O.A. Assessment of the economic efficiency of using electric energy storage systems in gas well bushes. Bulletin of the Tula State University. Technical sciences, 2025, no. 4, pp. 309–324. (In Russ.) DOI: 10.24412/2071-6168-2025-4-309-310.
30. Glazyrin A.S., Isaev Yu.N., Kladiev S.N., Leonov A.P., Rakov I.V., Kolesnikov A.V., Langraf S.V., Filipas A.A., Kopyrin V.A., Khamitov R.N., Kovalev V.Z. Unloaded oil-submersible cable reduced dynamic model order optimization based on the frequency response approximation. Bulletin of the Tomsk Polytechnic University. Geo Аssets Engineering, 2021, vol. 332, no. 9, pp. 154–167. (In Russ.) DOI: 10.18799/24131830/2021/9/3365.
31. Bolovin E.V., Glazyrin A. S. Method for identifying parameters of submersible induction motors of electrical submersible pump units for oil production Bulletin of the Tomsk Polytechnic University. Geo Аssets Engineering, 2017, vol. 328, no. 1, pp. 123–131. (In Russ.)
32. Xu C., He S., Wang L., Yu H. Difference analysis method of grid connection influence between CRE and DRE based on bus state trajectory. Frontiers in Energy Research, 2023, vol. 11, pp. 1–9. DOI: 10.3389/fenrg.2023.1266252.
33. Isong U., Okpura N., Oritsetimeyin Tim P. The IEEE 33 bus distribution system load flow analysis using newton Raphson method. Journal of Multidisciplinary Engineering Science and Technology, 2023, vol. 10, pp. 16039–16047.
34. Khan H., Hanif A., Anwar N. Rotor angle and voltage stability analysis with fault location identification on the IEEE 9 bus system. Engineering, Technology & Applied Science Research, 2025, vol. 10, pp. 5259–5264. DOI: 10.48084/etasr.3175.
35. Öztürk S., Çifci A. Investigating transient responses of IEEE 6 bus power system to various fault types using PowerWorld simulator. International Scientific and Vocational Studies Journal, 2024, vol. 8, pp. 137–151. DOI: 10.47897/bilmes.1565442.
36. Vaithilingam C., Alsakati A., Alnasseir J. Transient stability analysis of IEEE 9-bus system integrated with DFIG and SCIG based wind turbines. Journal of Physics: Conference Series, 2021, vol. 2120, pp. 1–15. DOI: 10.1088/1742-6596/2120/1/012023.
37. Glazyrin A.S., Isaev Yu.N., Kopyrin V.A., Timoshkin V.V., Kladiev S.N., Khamitov R.N., Kovalev V.Z., Losev F.A., Leonov A.P., Popov E.I. Transient processes in electricalcomplex of production well with downhole compensator of reactive power. Bulletin of the Tomsk Polytechnic University. Geo Аssets Engineering, 2023, vol. 334. no. 5. pp. 168–180. (In Russ.) DOI: 10.18799/24131830/2023/5/4255.
38. Losev F.A., Sushkov V.V. Polycriterial approach to the analysis of measures to improve the stability of electric motor load units of oil producing enterprises. Bulletin of the Tomsk Polytechnic University. Geo Аssets Engineering, 2019, vol. 330, no. 8, pp. 55–64. (In Russ.) DOI: 10.18799/24131830/2019/8/2212.
