Development and verification of a computational model of the magnetic system of the “Beta-decay” experimental facility, calculation of spatial distributions of fields and forces

V. M. Amoskov ; V. N. Vasiliev ; A. D. Grosheva ; O. A. Kovalchuk ; V. P. Kukhtin ; E. A. Lamzin ; D. D. Melnikov ; A. N. Murashkin ; D. A. Ovsyannikov ; A. P. Serebrov ; S. E. Sychevsky

Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 20 (2024) no. 4, pp. 520-533

Résumé

The work is devoted to the development and testing of a computational model of the precision magnetic system of the experimental facility “Beta-decay” for measuring the correlation coefficients of the neutron beta-decay, created at the Scientific Research Center “Kurchatov Institute”. The magnetic field of the system in its various configurations is studied, and the possibility of applying an adapted geometric model to calculations is also investigated. The distributions of magnetic fields and forces arising in the system are calculated. Verification of the model is carried out by comparing the results of calculations performed by several independent software. The results of numerical modeling coincide with the required accuracy for all software packages used, in particular, the estimate of the relative deviation of the force values does not exceed 3 %.

Détail

Keywords: computational models, magnetic systems, magnetic fields.

Bibliographie

[1] Serebrov A. P., Vassiljev A. V., Varlamov V. E., Egorov A. I., Ezhov V. F., Zherebtsov O. M., Zinoviev V. G., Ivochkin V. G., Ivanov S. N., Ivanov S. A., Kolomensky E. A., Konoplev K. A., Krasnoschekova I. A., Lasakov M. S., Lyamkin V. A., Murashkin A. N., Neustroev P. V., Onegin M. S., Pirozhkov A. N., Polyshkin A. O., Prudnikov D. V., Ryabov V. L., Samoylov R. M., Sbitnev S. V., Fomin A. K., Cherniy A. V., Shoka I. V., Geltenbort P., Zimmer O., Gridnev K. A., Fomichev A. V., Dmitriev S. P., Dovator N. A., Martemyanov V. P., Petelin A. L., “Fundamental interactions research program for the PIK reactor”, Nuclear Physics, 79:3 (2016), 187–197 (in Russian)

[2] Serebrov A., Rudnev Yu., Murashkin A., Zherebtsov O., Kharitonov A., Korolev V., Morozov T., Fomin A., Pusenkov V., Schebetov A., Varlamov V., “Project of Neutron Beta-decay A-asymmetry measurement with relative accuracy of (1-2)$\times$10(-3)”, Journal of Research of the National Institute of Standards and Technology, 2005, no. 4, 383–387 | DOI

[3] Doynikov N., Lamzin E., Sytchevsky S., “On computation of 3-D magnetostatic fields of electrophysical apparatus magnet systems”, IEEE Transactions on Magnetics, 1992, no. 28, 908–911 | DOI

[4] Belov A., Belyakova T., Filatov O., Kukhtin V., Lamzin E., Shatil N., Sytchevsky S., Gridnev K., Semchenkov A., Semchenkova O., Artukh A., Sereda Yu., Teterev Yu., Budzanowski A., Koscielniak F., Szmider J., “Program package for accurate 3D reconstruction of magnetic fields from the boundary measurements”, Nuclear Instruments and Methods in Physics Research. Section A, 2003, no. 513, 448–464 | DOI

[5] Arslanova D., Gavrish Yu., Gapionok E., Grosheva A., Knyazev N., Kukhtin V., Lamzin E., Nezhentsev A., Ovsyannikov A., Ovsyannikov D., Sytchevsky S., Znamenshchikova N., “Feasibility study of permanent magnet dipoles for SILA facility”, Cybernetics and Physics, 12:4 (2023), 252–256 | DOI

[6] Belov A., Belyakova T., Kukhtin V., Lamzin E., Sytchevsky S., Filatov O., KOMPOT/M 1.0: computer code for 3D simulation of magnetostatic field in the analysis and synthesis of magnetic systems for electrophysical devices, Russian Federation Computer Program Register. Registration Certificate no. 2003612492, M., 2003, November 12

[7] Belov A., Belyakova T., Belyakov V., Kukhtin V., Lamzin E., Sytchevsky S., Filatov O., KOMPOT/C 1.0: computer code for 3D simulation of stationary distribution of currents in regions of complex geometry, Russian Federation Computer Program Register, Registration Certificate no. 2003612494, November 12, M., 2003

[8] Belov A., Belyakova T., Belyakov V., Vassiljev V., Kukhtin V., Lamzin E., Sytchevsky S., Filatov O., Shatil N., KOMPOT/T 1.0: computer code for 3D simulation of thermostatic fields, Russian Federation Computer Program Register, Registration Certificate no. 2003612493, M., 2003, November 12

[9] Diop Sh. Ya., Kaparkova M. V., Kukhtin V. P., Makarov A. A., Rodin I. Yu., Sytchevsky S. E., Firsov A. A., “Numerical models for analysis and adjustment of magnetic field in medical centers. I. Simulation of geomagnetic field disturbances”, Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 18:3 (2022), 365–378 (in Russian) | DOI

[10] Amoskov V. M., Belov A. V., Belyakov V. A., Belyakova T. F., Gribov Yu. V., Kukhtin V. P., Lamzin E. A., Sytchevsky S. E., “Computation technology based on KOMPOT and KLONDIKE codes for magnetostatic simulations in tokamaks”, Plasma Devices and Operations, 16:2 (2008), 89–103 | DOI

[11] Amoskov V., Belov A., Belyakov V., Belyakova T., Gapionok E., Garkusha D., Glukhikh M., Kukhtin V., Lamzin E., Maksimenkova N., Mingalev B., Sytchevsky S., Filatov O., KLONDIKE 1.0: computer code for 3D simulation of magnet systems of complex geometry with retentive and non-retentive materials and current carrying components, Russian Federation Computer Program Register, Registration Certificate no. 2003612487, M., 2003, November 12

[12] COMSOL Multiphysics\circledR v.6.2, COMSOL\circledR Software Version 6.2 (accessed: February 25, 2024) https://www.comsol.com/

[13] Krasnikov G. E., Nagornov O. V., Starostin N. V., Modeling of physical processes using the Comsol Multiphysics package, National Research Nuclear University Moscow Engineering Physics Institute Press, M., 2012, 184 pp. (in Russian)

[14] Frenkel Ya. I., Selected works, v. 1, General theory of electricity, USSR Academy of Sciences Press, M.–L., 1956, 370 pp. (in Russian)

[15] Carpenter C. J., “Theory and application of magnetic shells”, Proceedings of the IEEE, 114:7 (1967), 995–1000

[16] Strang G., Fix G., An analysis of the FE method, Prentice-Hall, Englewood Cliffs, New Jersey, 1973, 306 pp.

[17] Elleaume P., Chubar O., Chavanne J., “Computing 3D magnetic field from insertion devices”, Proceedings of the 17$^{\rm th}$ IEEE Particle Accelerator Conference (PAC'97) (Vancouver, British Columbia), 1997, 3509–3511 | DOI

[18] Chubar O., Elleaume P., Chavanne J., “A 3D magnetostatics computer code for insertion devices”, Proceedings of the 6$^{\rm th}$ International Conference on Synchrotron Radiation Instrumentation (SRI'97) (Himeji, Hyogo, Japan), 1997, 481–484 | DOI

[19] Amoskov V. M., Belyakov V. A., Belyakova T. F., Hardware and software package for measuring the characteristics of magnetic materials in a wide range of induction, Joint Institute for Nuclear Reserch Publ., Dubna, 2004, 19 pp. (in Russian)