Modelling and design of permanent magnet multipoles for beam transport and focusing. II. Configuring the quad
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 18 (2022) no. 4, pp. 454-472 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

An optimized magnetic specification has been searched for a PM quadrupole constructed for the DC-140 cyclotron in JINR, Dubna. The field inhomogeneity should be reduced to come closer to an ideal distribution. The quad parameters should be determined with very high mechanical and magnetic precision in order to reach the specified gradient. Results of the analytic study based on a 2D model gave initial values for the PM blocks dimensions and orientations. To ensure stringent performance criteria, parametrized 2D and 3D models of the quad were built. These models were used to optimize the magnet configuration, analyze its sensitivity to various errors and derive parameter tolerances. Additional adjustment to suitable field quality is foreseen using results of a trajectory analysis and acceptance inspection. The design parameters for the best suited magnet configuration are presented and the performance criteria are defined. However, an electromagnetic analysis of the selected configuration has revealed that the relative field error adopted previously as the optimization criterion gives low accuracy estimate. Alternative estimations are proposed utilizing the field gradient error as the basic criterion to satisfy the constraint on the field inhomogeneity.
Mots-clés : permanent magnet, quadrupole, simulation.
Keywords: beam transport, direct and inverse problems
@article{VSPUI_2022_18_4_a1,
     author = {V. M. Amoskov and V. N. Vasiliev and E. I. Gapionok and G. G. Gulbekyan and N. S. Edamenko and I. A. Ivanenko and N. Yu. Kazarinov and I. V. Kalagin and M. V. Kaparkova and V. P. Kukhtin and E. A. Lamzin and A. A. Makarov and A. N. Nezhentzev and D. A. Ovsyannikov and D. A. Ovsyannikov (Jr.) and N. F. Osipov and I. Yu. Rodin and S. E. Sychevsky and A. A. Firsov and N. A. Shatil},
     title = {Modelling and design of permanent magnet multipoles for beam transport and focusing. {II.} {Configuring} the quad},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {454--472},
     year = {2022},
     volume = {18},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2022_18_4_a1/}
}
TY  - JOUR
AU  - V. M. Amoskov
AU  - V. N. Vasiliev
AU  - E. I. Gapionok
AU  - G. G. Gulbekyan
AU  - N. S. Edamenko
AU  - I. A. Ivanenko
AU  - N. Yu. Kazarinov
AU  - I. V. Kalagin
AU  - M. V. Kaparkova
AU  - V. P. Kukhtin
AU  - E. A. Lamzin
AU  - A. A. Makarov
AU  - A. N. Nezhentzev
AU  - D. A. Ovsyannikov
AU  - D. A. Ovsyannikov (Jr.)
AU  - N. F. Osipov
AU  - I. Yu. Rodin
AU  - S. E. Sychevsky
AU  - A. A. Firsov
AU  - N. A. Shatil
TI  - Modelling and design of permanent magnet multipoles for beam transport and focusing. II. Configuring the quad
JO  - Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
PY  - 2022
SP  - 454
EP  - 472
VL  - 18
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VSPUI_2022_18_4_a1/
LA  - ru
ID  - VSPUI_2022_18_4_a1
ER  - 
%0 Journal Article
%A V. M. Amoskov
%A V. N. Vasiliev
%A E. I. Gapionok
%A G. G. Gulbekyan
%A N. S. Edamenko
%A I. A. Ivanenko
%A N. Yu. Kazarinov
%A I. V. Kalagin
%A M. V. Kaparkova
%A V. P. Kukhtin
%A E. A. Lamzin
%A A. A. Makarov
%A A. N. Nezhentzev
%A D. A. Ovsyannikov
%A D. A. Ovsyannikov (Jr.)
%A N. F. Osipov
%A I. Yu. Rodin
%A S. E. Sychevsky
%A A. A. Firsov
%A N. A. Shatil
%T Modelling and design of permanent magnet multipoles for beam transport and focusing. II. Configuring the quad
%J Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
%D 2022
%P 454-472
%V 18
%N 4
%U http://geodesic.mathdoc.fr/item/VSPUI_2022_18_4_a1/
%G ru
%F VSPUI_2022_18_4_a1
V. M. Amoskov; V. N. Vasiliev; E. I. Gapionok; G. G. Gulbekyan; N. S. Edamenko; I. A. Ivanenko; N. Yu. Kazarinov; I. V. Kalagin; M. V. Kaparkova; V. P. Kukhtin; E. A. Lamzin; A. A. Makarov; A. N. Nezhentzev; D. A. Ovsyannikov; D. A. Ovsyannikov (Jr.); N. F. Osipov; I. Yu. Rodin; S. E. Sychevsky; A. A. Firsov; N. A. Shatil. Modelling and design of permanent magnet multipoles for beam transport and focusing. II. Configuring the quad. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 18 (2022) no. 4, pp. 454-472. http://geodesic.mathdoc.fr/item/VSPUI_2022_18_4_a1/

[1] Amoskov V. M., Vasiliev V. N., Gapionok E. I., Gulbekyan G. G., Edamenko N. S., Ivanenko I. A., Kazarinov N. Y., Kalagin I. V., Kaparkova M. V., Kukhtin V. P., Lamzin E. A., Makarov A. A., Nezhentzev A. N., Ovsyannikov D. A., Ovsyannikov D. A. (jr), Osipov N. F., Rodin I. Yu., Sytchevsky S. E., Firsov A. A., “Modelling and design of permanent magnet multipoles for beam transport and focusing. I. Selection of optimal design and parameters”, Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 17:4 (2021), 313–329 (In Russian) | DOI | MR

[2] Mitrofanov S., Apel P., Bashevoy V., Bekhterev V., Bogomolov S., Borisov O., Franko J., Gikal B., Gulbekyan G., Ivanenko I., Kalagin I., Kazarinov N., Mironov V., Semin V., Skuratov V., Tikhomirov A., “The DC130 project: new multipurpose applied science facility for FLNR”, Proceedings of 14$^{\rm th}$ Intern. Conference on Heavy Ion Accelerator Technology (Lanzhou, China, 2018), 122–124 | DOI

[3] Kazarinov N., Apel P., Bekhterev V., Bogomolov S., Bashevoy V., Borisov O., Gulbekian G., Franko J., Ivanenko I., Kalagin I., Mironov V., Mitrofanov S., Tikhomirov A., Semin V., Skuratov V., “Conceptual design of FLNR JINR radiation facility based on DC130 cyclotron”, Proceedings of 61$^{\rm th}$ Advanced Beam Dynamics Workshop on High-Intensity and High-Brightness Hadron Beams (Daejeon, Korea, 2018), 324–328 | DOI

[4] Batygin V. V., Toptygin I. N., Problems in electrodynamics, Academic Press, London–New York, 1964, 587 pp. | MR | MR

[5] Thome R. J., Tarrh J. M., MHD and fusion magnets: field and force design concepts, Wiley Publ, New York, 1982, 249 pp.

[6] Tikhonov A. N., Arsenin V. Ya., Solutions of ill-posed problems, Halsted Press, New York, 1977, 288 pp. | MR

[7] Krasnikov G. E., Nagornov O. V., Starostin N. V., Simulation of physical processes with Comsol Multiphysics software, NRNU MEPhI Publ, M., 2012, 184 pp. (In Russian)

[8] Prakht V. A., Dmitrievskiy V. A., Sarapulov F. N., Simulation of thermal and electromagnetic processes in electrical devices. COMSOL software, Sputnik+ Publ, M., 2011, 158 pp. (In Russian)

[9] Zatonov I. A., “Using the computer code Elcut to select field parameters in a betatron-type particle accelerator”, Proceedings of IV Russian forum on Space Engineering for young scientists, Tomsk Polytechnic University Press, Tomsk, 2016, 130–135 (In Russian)

[10] Yilong Liu, Alex T. L. Leong, Yujiao Zhao, Linfang Xiao, Henry K. F. Mak, Anderson Chun On Tsang, Gary K. K. Lau, Gilberto K. K. Leung, Ed X. Wu, “A low-cost and shielding-free ultra-low-field brain MRI scanner”, Nature Communications, 12:1 (2021), 27317, 1 pp. | DOI

[11] O'Reilly T., Teeuwisse W. M., Webb A. G., “Three-dimensional MRI in a homogenous 27 cm diameter bore Halbach array magnet”, Journal of Magnetic Resonance, 307 (2019), 106578 | DOI

[12] Amoskov V. M., Arslanova D. N., Bazarov A. M., Belov A. V., Belyakov V. A., Belyakova T. F., Firsov A. A., Gapionok E. I., Kaparkova M. V., Kukhtin V. P., Lamzin E. A., Larionov M. S., Maximenkova N. A., Mikhailov V. M., Nezhentzev A. N., Ovsyannikov D. A., Ovsyannikov A. D., Rodin I. Y., Shatil N. A., Sychevsky S. E., Vasiliev V. N., Zaitzev A. A., “Simulation of electrodynamic suspension systems for levitating vehicles. I. Modelling of electromagnetic behaviour of maglev vehicles with electrodynamic suspension”, Vestnik of Saint Petersburg University. Series 10. Applied Mathematics. Computer Science. Control Processes, 2014, no. 4, 5–15 | MR

[13] Amoskov V. M., Arslanova D. N., Bazarov A. M., Belov A. V., Belyakov V. A., Belyakova T. F., Vasiliev V. N., Gapionok E. I., Zaitzev A. A., Kaparkova M. V., Kukhtin V. P., Lamzin E. A., Larionov M. S., Maximenkova N. A., Mikhailov V. M., Nezhentzev A. N., Ovsyannikov D. A., Ovsyannikov A. D., Rodin I. Yu., Sychevsky S. E., Firsov A. A., Shatil N. A., “Simulation of electrodynamic suspension systems for levitating vehicles. II. Validation of computational models”, Vestnik of Saint Petersburg University. Series 10. Applied Mathematics. Computer Science. Control Processes, 2015, no. 2, 18–32 (In Russian) | MR

[14] Amoskov V. M., Arslanova D. N., Bazarov A. M., Belov A. V., Belyakov V. A., Belyakova T. F., Vasiliev V. N., Gapionok E. I., Zaitzev A. A., Kaparkova M. V., Kukhtin V. P., Lamzin E. A., Larionov M. S., Maximenkova N. A., Mikhailov V. M., Nezhentzev A. N., Ovsyannikov D. A., Ovsyannikov A. D., Rodin I. Y., Sychevsky S. E., Firsov A. A., Shatil N. A., “Simulation of electrodynamic suspension systems for levitating vehicles. III. Continuous track systems”, Vestnik of Saint Petersburg University. Series 10. Applied Mathematics. Computer Science. Control Processes, 2015, no. 3, 4–21 (In Russian) | MR

[15] Amoskov V. M., Arslanova D. N., Bazarov A. M., Belov A. V., Belyakov V. A., Belyakova T. F., Vasiliev V. N., Gapionok E. I., Zaitzev A. A., Zenkevich M. Y., Kaparkova M. V., Kukhtin V. P., Lamzin E. A., Larionov M. S., Maximenkova N. A., Mikhailov V. M., Nezhentzev A. N., Ovsyannikov D. A., Ovsyannikov A. D., Rodin I. Y., Sychevsky S. E., Firsov A. A., Shatil N. A., “Simulation of electrodynamic suspension systems for levitating vehicles. IV. Discrete track systems”, Vestnik of Saint Petersburg University. Series 10. Applied Mathematics. Computer Science. Control Processes, 2016, no. 3, 4–17 (In Russian) | MR

[16] Amoskov V., Arslanova D., Baranov G., Bazarov A., Belyakov V., Firsov A., Kaparkova M., Kavin A., Khokhlov M., Kukhtin V., Kuzmenkov V., Labusov A., Lamzin E., Lantzetov A., Larionov M., Nezhentzev A., Ovsyannikov D., Ovsyannikov A., Rodin I., Shatil N., Sytchevsky S., Vasiliev V., Zapretilina E., Zenkevich M., “Modelling EMS maglev systems to develop control algorithms”, Cybernenics and Physics, 7:1 (2018), 11–17 | DOI | MR

[17] Amoskov V. M., Belov A. V., Belyakov V. A., Gapionok E. I., Gribov Y. V., Kukhtin V. P., Lamzin E. A., Mita Y., Ovsyannikov A. D., Ovsyannikov D. A., Patisson L., Sytchevsky S. E., Zavadskiy S. V., “Magnetic model MMTC-2.2 of ITER tokamak complex”, Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 15:3 (2019), 5–21 | DOI | MR

[18] Arslanova D., Firsov A., Kukhtin V., Lamzin E., Larionov M., Nezhentzev A., Ovsyannikov D., Rodin I., Shatil N., Sytchevsky S., Vasiliev V., Zaitsev A., “Power-efficient low-stray field hybrid magnets for MAGLEV technology”, Cybernenics and Physics, 10:3 (2021), 117–121 | DOI