Modern Transportation Systems and TechnologiesModern Transportation Systems and TechnologiesИнновационные транспортные системы и технологии2782-3733Eco-Vector68727410.17816/transsyst687274Original studiesОригинальные статьиResearch ArticleDetermination of operating parameters of toroidal field coils of a tokamak based on a high-temperature superconductorОпределение рабочих параметров катушек тороидального поля токамака на основе высокотемпературного сверхпроводникаhttps://orcid.org/0009-0001-7383-00945365-6190AleksandrovD. A.АлександровД. А.
Russian Federation

research engineer

инженер-исследователь

cfrfcfrfdima123@gmail.comhttps://orcid.org/0000-0003-2301-17683368-8809MartirosianI. V.МартиросянИ. В.
Russian Federation

Cand. Sci. (Phys. Math.), research engineer

инженер

mephizic@gmail.comhttps://orcid.org/0009-0003-9462-57569216-7080VinitskiyE. A.ВиницкийЕ. А.
Russian Federation

engineer

инженер

egor.vinitsky@gmail.comhttps://orcid.org/0000-0002-8981-56064776-7939OsipovM. A.ОсиповМ. А.
Russian Federation

research engineer

инженер-исследователь

max.vfk@gmail.comhttps://orcid.org/0000-0002-3137-42896643-7817PokrovskiiS. V.ПокровскийС. В.
Russian Federation

Cand. Sci. (Phys. Math.), Head of the Laboratory

канд. физ.-мат. наук , заведующий научно-исследовательской лаборатории

sergeypokrovskii@gmail.comNational research nuclear university MEPHIНациональный Исследовательский Ядерный Университет300920251134094211107202518072025Copyright ©; 2025, Aleksandrov D.А., Martirosian I.V., Vinitskiy Е.А., Osipov M.А., Pokrovskii S.V.Copyright ©; 2025, Александров Д.А., Мартиросян И.В., Виницкий Е.А., Осипов М.А., Покровский С.В.2025Aleksandrov D.А., Martirosian I.V., Vinitskiy Е.А., Osipov M.А., Pokrovskii S.V.Александров Д.А., Мартиросян И.В., Виницкий Е.А., Осипов М.А., Покровский С.В.https://creativecommons.org/licenses/by/4.0https://transsyst.ru/transj/article/view/687274

Aim: to determine the operating parameters of the toroidal magnetic field system (operating temperature, number of CORC cables, transport current value) of the MEPhIST-1 superconducting tokamak

Materials and Methods: numerical calculation of the toroidal magnetic field of a tokamak was performed in the COMSOL Multiphysics software

Results: magnetic field distributions were obtained for various values of the transport current flowing through the tokamak coil. The proportionality coefficients between the maximum magnetic field on the coil and the transport current, the operating magnetic field and the operating transport current were determined.

Conclusion: the number of CORC cables required to achieve an operating magnetic field induction of 1 T has been determined: 7 at a temperature of 37.6 K and 6 at a temperature of 33.6 K. It has been shown that it is possible to achieve an operating field value of about 1.5T with 7 CORC cables when the temperature is lowered to 21.1 K.

Цель. Определение рабочих параметров системы тороидального магнитного поля (рабочая температура, количество CORC-кабелей, величина транспортного тока) сверхпроводящего токамака MEPhIST-1

Материалы и методы. Численный расчет тороидального магнитного поля токамака выполнен в среде моделирования COMSOL Multiphysics

Результаты. Получены распределения магнитного поля для различных значений транспортного тока, протекающего через катушку токамака. Определены коэффициенты пропорциональности между максимальным магнитным полем на катушке и транспортным током, рабочим магнитным полем и рабочим транспортным током.

Заключение. Определено число CORC-кабелей для достижения рабочей величины индукции магнитного поля в 1 Тл: 7 при температуре в 37,6 К и 6 при температуре в 33,6 К. Показано, что возможно достижение значений рабочего поля порядка 1,5 Тл на 7 CORC-кабелях при понижении температуры до 21,1 К.

HTS compositesnumerical modellingtokamakCORC cableВТСП композитычисленное моделированиетокамакCORC-кабельThe study was supported by the Russian Science Foundation grant No. 24-29-00749, https://rscf.ru/project/24-29-00749/.Исследование выполнено за счет гранта Российского научного фонда № 24-29-00749, https://rscf.ru/project/24-29-00749/.Muehlich P, Hamacher T. Global transportation scenarios in the multi-regional EFDA-TIMES energy model. Fusion Engineering and Design. 2009;84(7):1361–1366. doi: https://doi.org/10.1016/j.fusengdes.2008.12.016Muehlich P., Hamacher T. Global transportation scenarios in the multi-regional EFDA-TIMES energy model // Fusion Engineering and Design. 2009. Vol. 84, N 7. P. 1361–1366. doi: https://doi.org/10.1016/j.fusengdes.2008.12.016Lerede D, Saccone M, Bustreo C, et al. Could clean industrial progresses and the rise of electricity demand foster the penetration of nuclear fusion in the European energy mix? Fusion Engineering and Design. 2021;172. doi: https://doi.org/10.1016/j.fusengdes.2021.112880 EDN: BNAQQOLerede D., Saccone M., Bustreo C., et al. Could clean industrial progresses and the rise of electricity demand foster the penetration of nuclear fusion in the European energy mix? // Fusion Engineering and Design. 2021. Vol. 172, N. doi: https://doi.org/10.1016/j.fusengdes.2021.112880 EDN: BNAQQOGao X, Zhang T, Wu M, et al. Recent results of fusion triple product on EAST tokamak. Plasma Science and Technology. 2021;23(9). doi: 10.1088/2058-6272/ac1165 EDN: RCDXUPGao X., Zhang T., Wu M., et al. Recent results of fusion triple product on EAST tokamak // Plasma Science and Technology. 2021. Vol. 23, N 9. doi: 10.1088/2058-6272/ac1165 EDN: RCDXUPKim H-S, Jeon Y, Han H, et al. Development of high-performance long-pulse discharge in KSTAR. Nuclear Fusion. 2024;64(1). doi: 10.1088/1741-4326/ad0fbd EDN: YEFTYIKim H.-S., Jeon Y., Han H., et al. Development of high-performance long-pulse discharge in KSTAR // Nuclear Fusion. 2024. Vol. 64, N 1. P. 016033. doi: 10.1088/1741-4326/ad0fbd EDN: YEFTYICreely AJ, Greenwald MJ, Ballinger SB, et al. Overview of the SPARC tokamak. Journal of Plasma Physics. 2020;86(5). doi: 10.1017/S0022377820001257 EDN: XOIYOHCreely A.J., Greenwald M.J., Ballinger S.B., et al. Overview of the SPARC tokamak // Journal of Plasma Physics. 2020. Vol. 86, N 5. doi: 10.1017/S0022377820001257 EDN: XOIYOHZhai Y, van der Laan D, Connolly P, Kessel C. Conceptual design of HTS magnets for fusion nuclear science facility. Fusion Engineering and Design. 2021;168. doi: https://doi.org/10.1016/j.fusengdes.2021.112611 EDN: RFOOXZZhai Y., van der Laan D., Connolly P., Kessel C. Conceptual design of HTS magnets for fusion nuclear science facility // Fusion Engineering and Design. 2021. Vol. 168, N. doi: https://doi.org/10.1016/j.fusengdes.2021.112611 EDN: RFOOXZMolodyk A, Samoilenkov S, Markelov A, et al. Development and large volume production of extremely high current density YBa2Cu3O7 superconducting wires for fusion. Scientific Reports. 2021;11(1):2084. doi: 10.1038/s41598-021-81559-z EDN: FQXYLWMolodyk A., Samoilenkov S., Markelov A., et al. Development and large volume production of extremely high current density YBa2Cu3O7 superconducting wires for fusion // Scientific Reports. 2021. Vol. 11, N 1. doi: 10.1038/s41598-021-81559-z EDN: FQXYLWFederici G, Siccinio M, Bachmann C, et al. Relationship between magnetic field and tokamak size—a system engineering perspective and implications to fusion development. Nuclear Fusion. 2024;64(3):036025. doi: 10.1088/1741-4326/ad2425 EDN: QJXQPSFederici G., Siccinio M., Bachmann C., et al. Relationship between magnetic field and tokamak size—a system engineering perspective and implications to fusion development // Nuclear Fusion. 2024. Vol. 64, N 3. doi: 10.1088/1741-4326/ad2425 EDN: QJXQPSZohm H. On the Use of High Magnetic Field in Reactor Grade Tokamaks. Journal of Fusion Energy. 2019;38(1):3–10. doi: 10.1007/s10894-018-0177-yZohm H. On the Use of High Magnetic Field in Reactor Grade Tokamaks // Journal of Fusion Energy. 2019. Vol. 38, N 1. P. 3–10. doi: 10.1007/s10894-018-0177-yKrat S, Prishvitsyn A, Alieva A, et al. MEPhIST-0 Tokamak for Education and Research. Fusion Science and Technology. 2023;79(4):446–464. doi: 10.1080/15361055.2022.2149033 EDN: ZIBZCHKrat S., Prishvitsyn A., Alieva A., et al. MEPhIST-0 Tokamak for Education and Research // Fusion Science and Technology. 2023. Vol. 79, N 4. P. 446–464. doi: 10.1080/15361055.2022.2149033 EDN: ZIBZCHGryaznevich M, Asunta O. Overview and status of construction of ST40. Fusion Engineering and Design. 2017;123:177–180. doi: https://doi.org/10.1016/j.fusengdes.2017.03.011 EDN: VDFVMWGryaznevich M., Asunta O. Overview and status of construction of ST40 // Fusion Engineering and Design. 2017. Vol. 123, N. P. 177–180. doi: https://doi.org/10.1016/j.fusengdes.2017.03.011 EDN: VDFVMWKuteev BV, Azizov EA, Bykov AS, et al. Steady-state operation in compact tokamaks with copper coils. Nuclear Fusion. 2011;51(7). doi: 10.1088/0029-5515/51/7/073013 EDN: MWVEXCKuteev B.V., Azizov E.A., Bykov A.S., et al. Steady-state operation in compact tokamaks with copper coils // Nuclear Fusion. 2011. Vol. 51, N 7. doi: 10.1088/0029-5515/51/7/073013 EDN: MWVEXCFile J, Mills RG, Sheffield GV. Large Superconducting Magnet Designs for Fusion Reactors. IEEE Transactions on Nuclear Science. 1971;18(4):277–282. doi: 10.1109/TNS.1971.4326354File J., Mills R.G., Sheffield G.V. Large Superconducting Magnet Designs for Fusion Reactors // IEEE Transactions on Nuclear Science. 1971. Vol. 18, N 4. P. 277–282. doi: 10.1109/TNS.1971.4326354Shafranov VD. Optimum Shape of a Toroidal Solenoid. Soviet Physics Technical Physics. 1973;17:1433.Shafranov V.D. Optimum Shape of a Toroidal Solenoid // Soviet Physics Technical Physics. 1973. Vol. 17. P. 1433.Vinitskiy EA, Ulasevich DL, Prishvitsyn AS, et al. Optimization of the Toroidal Magnetic Coil System for the Small Spherical Tokamak MEPhIST-0. Fusion Science and Technology. 2025;81(5):485–494. doi: 10.1080/15361055.2024.2431782Vinitskiy E.A., Ulasevich D.L., Prishvitsyn A.S., et al. Optimization of the Toroidal Magnetic Coil System for the Small Spherical Tokamak MEPhIST-0 // Fusion Science and Technology. 2025. Vol. 81, N 5. P. 485–494. doi: 10.1080/15361055.2024.2431782Khodzhibagiyan HG, Novikov MS, Fisher EZ, Shemchuk AV. Concept of the High-Temperature Superconductor Magnetic System of the New Nuclotron Synchrotron. Physics of Particles and Nuclei Letters. 2024;21(1):68–72. doi: 10.1134/S1547477124010060 EDN: GOFBTGKhodzhibagiyan H.G., Novikov M.S., Fisher E.Z., Shemchuk A.V. Concept of the High-Temperature Superconductor Magnetic System of the New Nuclotron Synchrotron // Physics of Particles and Nuclei Letters. 2024. Vol. 21, N 1. P. 68–72. doi: 10.1134/S1547477124010060 EDN: GOFBTGAlexandrov DA, Martirosian IV, Pokrovskii SV, et al. Energy capacity and energy losses of inductive energy storage device based on composite HTS tapes. Modern Transportation Systems and Technologies. 2024;10(2):215–230. doi: https://doi.org/10.17816/transsyst632274 EDN: LKEQVAlexandrov D.A., Martirosian I.V., Pokrovskii S.V., et al. Energy capacity and energy losses of inductive energy storage device based on composite HTS tapes // Modern Transportation Systems and Technologies. 2024. Vol. 10, N 2. P. 215–230. doi: https://doi.org/10.17816/transsyst632274 EDN: LKEQVU