Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2021, Volume 17, Issue 4, Pages 313–329
DOI: https://doi.org/10.21638/11701/spbu10.2021.401 (Mi vspui499) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Applied mathematics

Modelling and design of permanent magnet multipoles for beam transport and focusing. I. Selection of optimal design and parameters

V. M. Amoskova, V. N. Vasilieva, E. I. Gapionoka, G. G. Gulbekyanb, N. S. Edamenkob, I. A. Ivanenkob, N. Yu. Kazarinovb, I. V. Kalaginb, M. V. Kaparkovaa, V. P. Kukhtina, E. A. Lamzina, A. A. Makarova, A. N. Nezhentzeva, D. A. Ovsyannikovc, D. A. Ovsyannikov (Jr.)ad, N. F. Osipovb, I. Yu. Rodina, S. E. Sychevskyac, A. A. Firsova

a D. V. Efremov Institute of Electrophysical Apparatus, 3, Doroga na Metallostroy, St. Petersburg, 196641, Russian Federation
b Joint Institute for Nuclear Research, 6, ul. Zholio-Kyuri, Moscow Region, Dubna, 141980, Russian Federation
c St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
d St. Petersburg State University of Industrial Technologies and Design, 18, ul. Bolshaya Morskaya, St. Petersburg, 191186, Russian Federation
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DOI: https://doi.org/10.21638/11701/spbu10.2021.401
Abstract: The design and specification choices are described for a PM quadrupole used to enable beam transport in a cyclotron. First an analytic study with a simplified 2D model is performed to give initial values for magnet configuration and performance. Characteristics of PM blocks and cylinders are analysed. Then a 3D parametrized model is used to solve the direct magnetostatic problem and accurately define quad specifications. Simulations are carried out with KOMPOT electromagnetic code utilizing the differential formulation. The regularization method is applied to solve the inverse problem. Magnetic characteristics, dimensions and shapes of the PM units and iron parts are determined in order to reach the specified field gradient. Possible correction of the resulting the ideal specification is discussed with respect to additional constraints put by practical implementation. Candidate PM materials are proposed. Simulated field maps are presented. The method described may serve as a basis for virtual prototyping and be integrated into end-to-end design and construction of magnet systems.
Keywords: permanent magnet, quadrupole, beam transport, analytical model, numerical model, direct and inverse problems, computed code, simulation.
Funding agency Grant number
Saint Petersburg State University INI_2021, ID:73371205
This work was supported by the Saint Petersburg State University (project INI_2021, ID:73371205).
Received: July 15, 2021
Accepted: October 13, 2021
Document Type: Article
UDC: 621.3.038 (615+617)
MSC: 78M50
Language: Russian
Citation: 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, “Modelling and design of permanent magnet multipoles for beam transport and focusing. I. Selection of optimal design and parameters”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 17:4 (2021), 313–329
Citation in format AMSBIB
\Bibitem{AmoVasGap21}
\by 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
\paper Modelling and design of permanent magnet multipoles for beam transport and focusing. I. Selection of optimal design and parameters
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2021
\vol 17
\issue 4
\pages 313--329
\mathnet{http://mi.mathnet.ru/vspui499}
\crossref{https://doi.org/10.21638/11701/spbu10.2021.401}
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