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, 2022, Volume 18, Issue 4, Pages 454–472
DOI: https://doi.org/10.21638/11701/spbu10.2022.402
(Mi vspui548)
 

Applied mathematics

Modelling and design of permanent magnet multipoles for beam transport and focusing. II. Configuring the quad

V. M. Amoskova, V. N. Vasilieva, E. I. Gapionoka, G. G. Gulbekyanb, N. S. Edamenkoc, 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.)d, N. F. Osipovb, I. Yu. Rodina, S. E. Sychevskyc, A. A. Firsova, N. A. Shatila

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. Joliot-Curie, 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, Bolshaya Morskaya ul., St Petersburg, 191186, Russian Federation
References:
Abstract: 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.
Keywords: permanent magnet, quadrupole, beam transport, direct and inverse problems, simulation.
Received: September 1, 2022
Accepted: September 1, 2022
Document Type: Article
UDC: 621.3.038 (615+617)
MSC: 78M-50
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, N. A. Shatil, “Modelling and design of permanent magnet multipoles for beam transport and focusing. II. Configuring the quad”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 18:4 (2022), 454–472
Citation in format AMSBIB
\Bibitem{AmoVasGap22}
\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, N.~A.~Shatil
\paper Modelling and design of permanent magnet multipoles for beam transport and focusing. II. Configuring the quad
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2022
\vol 18
\issue 4
\pages 454--472
\mathnet{http://mi.mathnet.ru/vspui548}
\crossref{https://doi.org/10.21638/11701/spbu10.2022.402}
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