Vol. 337 No. 6 (2026)
DOI https://doi.org/10.18799/24131830/2026/6/5636
Fault-tolerant control of a brushless DC motor of a pump unit as part of a hazardous production facility
Relevance. Brushless direct current motors are a key component of modern pumping equipment used at hazardous production facilities, including those in the oil and gas industry. Their high energy efficiency, reliability, and compact size determine their widespread use in fluid pumping systems, where uninterrupted operation is critical for ensuring technological and industrial safety. A failure of the pump unit electric motor can cause process stoppage, lead to significant economic losses, and create conditions for emergency situations with severe consequences. Therefore, ensuring stable operation of the brushless DC drive under emergency conditions, particularly in the event of loss of one or more supply phases, is an urgent scientific and technical challenge. Aim. Development of a control algorithm for a brushless DC motor that ensures its fault-tolerant operation under open-phase conditions, as well as analysis of the effectiveness of the developed algorithm. Object. Brushless direct current motor used in a pumping unit for transporting process fluid and capable of operating under open-phase power supply conditions. Methods. Mathematical description of electromechanical processes, computer modeling. Results. The authors have developed the mathematical model of a brushless direct current motor designed for joint operation with a pumping unit. The authors carried out simulation modeling of the motor operation under normal and open-phase power supply conditions. Graphs of the volumetric flow rate of the process fluid were obtained under various operating scenarios: without and with the use of a recovery algorithm.
For citation: Odnokopylov G.I., Rozaev I.A., Tinnikov P.E., Bragin A.D., Lyapunov D.Yu., Lazutkina E.E., Pantyukhina E.V., Sokolov S.S., Bolshakov R.S., Kalinichenko V.S. Fault-tolerant control of a brushless DC motor of a pump unit as part of a hazardous production facility. Bulletin of the Tomsk Polytechnic University. Geo Assets Engineering, 2026, vol. 337, no. 6, pp. 243-256. https://doi.org/10.18799/24131830/2026/6/5636
Keywords:
Brushless direct current motor, recovery algorithm, pump unit, emergency operation mode of electric motor, electric drive survivability, hazardous production facility
References:
1. Afanasev V.Ya., Suslov D.A. Economic security in the oil industry: political risks. Vestnik ekonomicheskoy bezopasnosti, 2024, no. 1, pp. 191–197. (In Russ.) DOI: 10.24412/2414-3995-2024-1-191-197.
2. Chugayeva Yu.A., Unanov A.L., Bozhenov M.S., Thagushev M.Z. Russian and world fuel and energy complex: threats and prospects for improving economic security. Estestvenno-gumanitarnyye issledovaniya, 2024, no. 2 (52), pp. 283–286. (In Russ.)
3. Zolotarev A.D. Operational reliability management system in drilling: realities of the Russian market. Izvestiya Tulskogo gosudarstvennogo universiteta. Tekhnicheskiye nauki, 2024, no. 5, pp. 64–69. DOI: 10.24412/2071-6168-2024-5-64-65. (In Russ.)
4. Gayfullina M.M., Nizamova G.Z. State and prospects of the development of the oil refining industry in Russia. Ekonomika i upravleniye: nauchno-prakticheskiy zhurnal, 2025, no. 5 (185), pp. 43–47. (In Russ.) DOI: 10.34773/EU.2025.5.7.
5. Bratukhina E.A., Fominykh M.S. Assessment of the level of development of the Russian oil and gas industry in modern conditions. Vektor ekonomiki, 2024, no. 9 (99), pp. 27–34. (In Russ.)
6. Tsvetkov A.N., Kornilov V.Yu., Safin A.R., Kuvshinov N.E., Petrov T.I., Gibadullin R.R. Development of a test bench for the study of pump jack electric drives. Vestnik MGTU. Trudy Murmanskogo gosudarstvennogo tekhnicheskogo universiteta, 2020, vol. 23, no. 4, pp. 364–375. (In Russ.) DOI: 10.21443/1560-9278-2020-23-4-364-375.
7. Zyuzev A.M., Bitkin M.E., Kononenko A.B., Kryukov O.V., Bychkov E.V. Analysis of monitoring data of electromechanical equipment at oil and gas enterprises. Avtomatizatsiya i IT v neftegazovoy oblasti, 2024, no. 5 (59), pp. 38–45. (In Russ.)
8. Ivshin I.V., Safin A.R., Gibadullin R.R., Petrov T.I., Tsvetkov A.N., Nizamiev M.F., Kornilov V.Yu. Analysis of the development of electric drives for oil pump jacks based on patent search results. Izvestiya vysshikh uchebnykh zavedeniy. Problemy energetiki, 2019, vol. 21, no. 5, pp. 3–13. (In Russ.) DOI: 10.30724/1998-9903-2019-21-5-3-13.
9. Gavrilov R.S., Mustafaev Yu.N. Control of permanent magnet synchronous machines. St Petersburg, Baltic State University Publ., 2019. 78 p. (In Russ.)
10. Suvorkova E.E., Dementyev Yu.N., Burulko L.K. Calculation of magnetic fields and inductive parameters of synchronous reluctance motors. Fundamentalnye issledovaniya, 2016, no. 6-1, pp. 112–116. (In Russ.)
11. Korzhubayev A.G., Filimonova I.V., Eder L.V. On the real prospects for the integrated development of oil and gas resources in the east of Russia. Russian Journal of Education and Psychology, 2010, no. 4 (1), pp. 402–414. (In Russ.)
12. Masterpanov A.M. On the main problems facing the Russian oil and gas complex in the coming decades. Problemy ekonomiki i upravleniya neftegazovym kompleksom, 2024, no. 1 (229), pp. 5–7. (In Russ.)
13. Van'kov A.A., Nurgaliyev R.G., Gapchenko E.A. Analysis of the application of complete drives based on submersible valve motors at «RITEKneft'». Territoriya Neftegaz, 2010, no. 9, pp. 74–79. (In Russ.)
14. Lysenko O.A., Simakov A.V. Modeling of energy characteristics of synchronous and asynchronous submersible electric motors. Omskiy nauchny vestnik, 2017, no. 6 (156), pp. 79–83. (In Russ.)
15. Khakimyanov M.I., Shafikov I.N. Analysis of electricity consumption in mechanized oil production with centrifugal pumps. Elektrotekhnicheskie i informatsionnye kompleksy i sistemy, 2013, vol. 9, no. 3, pp. 37–41. (In Russ.)
16. Romanov V.S., Goldshteyn V.G. Methods of dynamic improvement of energy efficiency and reliability of submersible electric motors for oil production. Dinamika sistem, mekhanizmov i mashin, 2017, vol. 5, no. 3, pp. 96–100. (In Russ.)
17. Odnokopylov G.I., Gavrilin A.N., Sokolov S.S., Rozaev I.A., Tinnikov P.E., Bragin A.D. Mathematical model of a valve electric motor in phase-loss modes. Izvestiya Tulskogo gosudarstvennogo universiteta. Tekhnicheskie nauki, 2024, no. 9, pp. 29–35. (In Russ.) DOI: 10.24412/2071-6168-2024-9-29-30.
18. Odnokopylov G.I., Rozaev I.A., Tinnikov P.E., Bragin A.D., Lyapunov D.Yu., Pantyukhina E.V., Bolshakov R.S. Fault-tolerant brushless DC motor for an electric oil pump. Bulletin of the Tomsk Polytechnic University. Geo Asset Engineering, 2026, vol. 337, no. 4, pp. 207–219. DOI: 10.18799/24131830/2026/4/5504.
19. Vorobyeva A.P., Antropova I.A. Creation of a mathematical model of a brushless DC motor using the MATLAB SIMULINK software environment. Politekhnicheskiy molodezhny zhurnal, 2024, no. 6, pp. 1–12. (In Russ.)
20. Velchenko A.A., Pavlyukovets S.A., Radkevich A.A. Mathematical model of a brushless DC motor based on the voltage equation of a three-phase winding. Sistemny analiz i prikladnaya informatika, 2024, no. 1, pp. 19–24. (In Russ.)
21. Glazyrin A.S., Popov E.I., Kopryin V.A., Popov S.S., Khamitov R.N., Deneko M.V. Development of a mathematical model of a permanent magnet synchronous motor in discrete time. Dinamika sistem, mekhanizmov i mashin, 2024, vol. 12, no. 1, pp. 36–42. (In Russ.)
22. Glazyrin A.S., Popov E.I., Kopryin V.A., Popov S.S., Bolovin E.V. Development of an observer of angular velocity and load torque for permanent magnet synchronous motors with increased stability to parametric disturbances. Elektrotekhnicheskie sistemy i kompleksy, 2024, no. 4 (65), pp. 47–54. (In Russ.)
23. Nos O.V., Pudkova T.V., Nos N.I. Synthesis of an observer of rotational EMF for a permanent magnet synchronous motor with a switchable structure and self-adjusting subsystems of filtration and angular position estimation. Nauchno-tekhnicheskiy vestnik informatsionnykh tekhnologiy, mekhaniki i optiki, 2024, vol. 24, no. 3, pp. 415–423. (In Russ.)
24. Glazyrin A.S., Popov E.I., Kopryin V.A., Popov S.S., Bolovin E.V., Kovalev V.Z., Khamitov R.N., Timoshkin V.V. Development of an observer of rotor angular speed and load torque for an adjustable permanent magnet synchronous motor fed through a long cable. Bulletin of the Tomsk Polytechnic University. Geo Asset Engineering, 2024, vol. 335, no. 11, pp. 237–257. (In Russ.)
25. Glazyrin A.S., Isaev Yu.N., Kopryin V.A., Timoshkin V.V., Kladiyev S.N., Khamitov R.N., Kovalev V.Z., Losev F.A., Leonov A.P., Popov E.I. Transient processes in the electrical complex of a producing well with a downhole reactive power compensator. Bulletin of the Tomsk Polytechnic University. Geo Asset Engineering, 2023, vol. 334, no. 5, pp. 168–180. (In Russ.) DOI: 10.18799/24131830/2023/5/4255.
26. Popov M.M., Lukutin B.V., Shandarova E.B., Rozaev I.A. Device for controlling frequency of current generated by autonomous generator of micro hydroelectric power plant. Patent RF, no. 2833947, 2025. (In Russ.)
27. Odnokopylov G.I., Gavrilin A.N., Sokolov S.S., Rozaev I.A., Tinnikov P.E., Bragin A.D. Study of a fault-tolerant valve electric motor in phase-loss modes. Izvestiya Tulskogo gosudarstvennogo universiteta. Tekhnicheskie nauki, 2025, no. 8, pp. 329–343. (In Russ.) DOI: 10.24412/2071-6168-2025-8-329-330.
28. Odnokopylov G.I., Gavrilin A.N., Bragin A.D., Rozaev I.A. Study of a fault-tolerant asynchronous electric drive of a pump unit as part of a hazardous production facility. Izvestiya Tulskogo gosudarstvennogo universiteta. Tekhnicheskie nauki, 2025, no. 1, pp. 384–394. (In Russ.) DOI: 10.24412/2071-6168-2025-1-384-385.
29. Odnokopylov G.I., Bukreyev V.G., Rozaev I.A. Study of a fault-tolerant switched-reluctance motor pump for oil production. Bulletin of the Tomsk Polytechnic University. Geo Asset Engineering, 2019, vol. 330, no. 10, pp. 69–81. (In Russ.) DOI: 10.18799/24131830/2019/10/2299.
30. Odnokopylov G.I., Rozaev I.A. Sensorless fault-tolerant control algorithms for a switched-reluctance motor pump for oil production. Bulletin of the Tomsk Polytechnic University. Geo Asset Engineering, 2020, vol. 331, no. 5, pp. 208–218. (In Russ.) DOI: 10.18799/24131830/2020/5/2653.
31. Tomilin A.K., Prokopenko E.V. Control of longitudinal oscillations of a mechatronic system using a capacitive parameter. Bulletin of the Tomsk Polytechnic University. Geo Asset Engineering, 2015, vol. 326, no. 6, pp. 122–127. (In Russ.)
32. Odnokopylov G.I. Methods and algorithms for fault-tolerant control of electric drives of hazardous production facilities. Dr. Diss. Tomsk, 2017. 343 p. (In Russ.)
33. Rozaev I.A. Algorithms for fault-tolerant control of a switched-reluctance motor drive for industrial facilities. Cand. Diss. Tomsk, 2022. 160 p. (In Russ.)
34. Popov M.M. Autonomous microhydroelectric power plants with controlled electricity balance. Cand. Diss. Tomsk, 2025. 128 p. (In Russ.)
35. Korolev N. Analytical diagnostic and control system of energy and mechanical efficiency of electric drives. Energies, 2025, vol. 18, no. 9, art. no. 2266. DOI: 10.3390/en18092266.
36. Odnokopylov G.I., Rozaev I.A., Bragin A.D. Installation for research of emergency modes of valve motor. Patent RF, no. 136184, 2013. (In Russ.)
37. Odnokopylov G.I., Rozaev I.A. Fault-tolerant control algorithms of switched-reluctance motor drive in open-phase modes. Proceedings of IFOST-2016: 11th International Forum on Strategic Technology. Novosibirsk, 1–3 June 2016. Novosibirsk, Novosibirsk State Technical University Publ., 2016. pp. 140–144. DOI: 10.1109/IFOST.2016.7884212.
38. Odnokopylov G.I., Rozaev I.A. Fault-tolerant control of switched-reluctance drive in emergency modes. International Siberian Conference on Control and Communications, SIBCON 2015. Proceedings. Omsk, 21–23 May 2015. Art. no. 7147192. DOI: 10.1109/SIBCON.2015.7147192.
39. Odnokopylov G., Bragin A. Fault tolerant vector control of induction motor drive. IOP Conference Series: Materials Science and Engineering, 2014, vol. 66, art. no. 012015. DOI: 10.1088/1757-899X/66/1/012015.
40. Prokhorov S.V., Krivoshein Y.O., Shilin A.A. Automatic control of hot water supply system on solar collectors. International Multi-Conference on Industrial Engineering and Modern Technologies, FarEastCon. Vladivostok, 1–4 October 2019. Vladivostok, Institute of Electrical and Electronics Engineers Inc., 2019. Art. no. 8934364. DOI: 10.1109/FarEastCon.2019.8934364.
41. Zakamaldin A.A., Shilin A.A. Neural simulation of ball mill grinding process. IOP Conference Series: Materials Science and Engineering, 2020, vol. 795, art. no. 012010. DOI: 10.1088/1757-899X/795/1/012010.
42. Kovalev V.Z., Glazyrin A.S., Arkhipova O.V., Khusainov E.I., Kopryin V.A., Popov E.I., Khamitov R.N., Filipas A.A., Popov S.S., Bolovin E.V., Belyauskene E.A. Assessment of the influence of stator steel losses on the energy performance of a submersible motor under a stochastic assembly procedure of a post-repair submersible motor. Bulletin of the Tomsk Polytechnic University. Geo Assets Engineering, 2025, vol. 336, no. 10, pp. 248–260. DOI: 10.18799/24131830/2025/10/5376. (In Russ.)
43. Savrasov F.V., Prokhorov S.V., Shilin A.A. The computer simulation of hoarfrost's clearing process in the air recuperation system. Journal of Physics: Conference Series, 2017, vol. 803, art. no. 012134. DOI: 10.1088/1742-6596/803/1/012134.
44. Shilin A., Bukreev V., Prohorov S. Pressure pump power control in the primary circuit of the heat exchange system. MATEC Web of Conferences, 2016, vol. 91, art. no. 01043. DOI: 10.1051/matecconf/20169101043.
45. Tian B., An Q.T., Sun L., Semenov D., Mirzaeva G. Fault-tolerant control of a five-phase permanent magnet synchronous motor for industry applications. IEEE Transactions on Industry Applications, 2018, vol. 54, no. 4, pp. 3943–3952. DOI: 10.1109/TIA.2018.2820060.
46. Zhou Ch., Zhong R., Su J., Jing G., Li Z., Sun X. A fault-tolerant hybrid control strategy for dual three-phase pmsm with low losses in full torque operation range. IEEE Transactions on Transportation Electrification, 2025, vol. 11, no. 6, pp. 14023–14037. DOI: 10.1109/TTE.2025.3606617.
47. Bu H., Cho Y. A practical position sensorless control of long-cable-fed PMSM drives with a sine-wave filter for electrical submersible pumps. IEEE International Symposium on Sensorless Control for Electrical Drives (SLED). Seoul, Korea Republic 2023. pp. 1–7. DOI: 10.1109/SLED57582.2023.10261376.
48. Sen W., Bingyi Z., Guihong F. Research of low-speed and direct-drive PMSM for new oil drilling mud pump. International Conference on Electrical Machines and Systems. Beijing, China, 2011. pp. 1–5. DOI: 10.1109/ICEMS.2011.6073822.
49. Yang S., Jiang X., Wei Z., Zhou J., Wang K., Han Z. Open-circuit fault diagnosis strategy for partial energy electric pump system based on grey prediction theory. 25th International Conference on Electrical Machines and Systems (ICEMS). Chiang Mai, Thailand, 2022. pp. 1–5. DOI: 10.1109/ICEMS56177.2022.9983053.
50. Krishnan R. Switched reluctance motor drives: modeling, simulation, analysis, design, and applications. Boca Raton, CRC Press, 2001. 456 p.
51. Siadatan A., Roohisankestani M., Farhangian S. Design and Simulation of a new Switched Reluctance Motor with changes in the shape of stator and rotor in order to reduce torque ripple and comparison with the conventional motor. International Symposium on Power Electronics, Electrical Drives, Automation and Motion (SPEEDAM). Amalfi, Italy, 2018. pp. 353–358. DOI: 10.1109/SPEEDAM.2018.8445245.
52. Schramm A., Gerling D. Evaluation and comparison of fault tolerant switched reluctance machines for a specific application. 9th Spanish–Portuguese Congress on Electrical Engineering (9CHLIE). Marbella, Spain, 2005. pp. 1–6.
53. Liu G., Yang J., Zhao W., Ji J., Chen Q., Gong W. Design and analysis of a new fault-tolerant permanent-magnet vernier machine for electric vehicles. IEEE Transactions on Magnetics, 2012, vol. 48, no. 11, pp. 4176–4179. DOI: 10.1109/TMAG.2012.2204042.
54. Mir S., Islam M.S., Sebastian T., Husain I. Fault-tolerant switched reluctance motor drive using adaptive fuzzy logic controller. IEEE Transactions on Power Electronics, 2004, vol. 19, no. 2, pp. 289–295. DOI: 10.1109/TPEL.2003.820549.
55. Saleh A., Sayed N., Abdel G.A., Eskander M.N. Fault-tolerant control of permanent magnet synchronous motor drive under open-phase fault. Advanced Science, Technology and Engineering Systems Journal, 2020, vol. 5, no. 6, pp. 455–463. DOI: 10.25046/aj050654.
56. Meinguet F., Nguyen N.-K., Sandulescu P., Kestelyn X., Semail E. Fault-tolerant operation of an open-end winding five-phase PMSM drive with inverter faults. IECON 2013 – 39th Annual Conference of the IEEE Industrial Electronics Society. Vienna, Austria, 2013. pp. 5191–5196. DOI: 10.1109/IECON.2013.6699978.
57. Zhang L., Delpha C., Diallo D., Nguyen N.-K. Incipient stator winding short-circuit diagnosis in seven-phase electrical machines using phase currents. IEEE Sensors Journal, 2026. DOI: 10.1109/JSEN.2026.3657227.
58. Zhao H., Gong J., Hao D., Sun H., Nguyen N.K., Bracikowski N. Vibration and noise analysis of non-sinusoidal multi-phase permanent magnet synchronous machines with fractional slot concentrated winding. IECON 2024 – 50th Annual Conference of the IEEE Industrial Electronics Society. Chicago, IL, USA, 2024. pp. 1–6. DOI: 10.1109/IECON55916.2024.10905697.
59. Acarnley P.P., Watson J.F. Review of position sensorless operation of brushless permanent magnet machines. IEEE Transactions on Industrial Electronics, 2006, vol. 53, no. 2, pp. 352–362. DOI: 10.1109/TIE.2005.862324.
60. Ignatiev I.K., Shabanov V.A. Principles of protection of synchronous motors against asynchronous mode. Electric drive, electric technologies and electric equipment of enterprises: Proc. of X International scientific and technical conference. Ufa, 16–18 April 2025. pp. 77–86. (In Russ.)
61. Bolognani S., Zordan M., Zigliotto M. Experimental fault-tolerant control of a PMSM drive. IEEE Transactions on Industrial Electronics, 2000, vol. 47, no. 5, pp. 1134–1141. DOI: 10.1109/41.873224.
62. Ertugrul N., Soong W., Dostal G., Saxon D. Fault tolerant motor drive system with redundancy for critical applications. IEEE 33rd Annual IEEE Power Electronics Specialists Conference. Proceedings (Cat. No.02CH37289). Cairns, QLD, Australia, 2002. Vol. 3, pp. 1457–1462. DOI: 10.1109/PSEC.2002.1022381.
63. Sergakis A., Salinas M., Gkiolekas N., Gyftakis K.N. A Review of condition monitoring of permanent magnet synchronous machines: techniques, challenges and future directions. Energies, 2025, vol. 18, no. 5, art. no. 1177. DOI: 10.3390/en18051177.
64. Derkachev S.V., Sidorov V.A. Mathematical modeling of induction motor damages. Nadezhnost i bezopasnost energetiki, 2025, vol. 18, no. 1, pp. 59–64. (In Russ.) DOI: 10.24223/1999-5555-2025-18-1-59-64.
65. Huang Q., Luo L., Zhang X., Diao L. Fault tolerant control for open winding brushless DC motor with power device failure. Journal of Electrical Engineering & Technology, 2024, vol. 19, no. 5, pp. 3175–3189. DOI: 10.1007/s42835-024-01784-0.
66. Xu Y., Wang J., Zhang H. Open-circuit fault-tolerant control for nonsinusoidal back EMF five-phase PMSM with copper loss reduction. IEEE Transactions on Industrial Electronics, 2024, vol. 71, no. 7, pp. 6524–6533. DOI: 10.1109/TIE.2023.3299025.
