Analytic Estimates of Magnetic Energy in Superconducting Quadrupoles

In this paper, we propose analytical formulae to determine the magnetic energy stored in superconducting quadrupoles made of sector coils. The study is based on the Fourier transformation of the current density flowing within the coils. The case of real magnets (i.e., magnets which are not made of p...

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Detalles Bibliográficos
Autores principales: Borgnolutti, F, Mailfert, A, Todesco, E
Lenguaje:eng
Publicado: 2008
Materias:
Accelerators and Storage Rings
Acceso en línea:https://dx.doi.org/10.1109/TASC.2008.2007271
http://cds.cern.ch/record/1169274
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author Borgnolutti, F
Mailfert, A
Todesco, E
author_facet Borgnolutti, F
Mailfert, A
Todesco, E
author_sort Borgnolutti, F
collection CERN
description In this paper, we propose analytical formulae to determine the magnetic energy stored in superconducting quadrupoles made of sector coils. The study is based on the Fourier transformation of the current density flowing within the coils. The case of real magnets (i.e., magnets which are not made of pure sector coils) is treated and a heuristic corrective coefficient allowing taking into account the energy enhancement due to current grading is derived from a numerical study. We also introduce the effect of an unsaturated iron yoke on the stored energy and we discuss the issue of the yoke saturation.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2008
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spelling cern-11692742019-09-30T06:29:59Zdoi:10.1109/TASC.2008.2007271http://cds.cern.ch/record/1169274engBorgnolutti, FMailfert, ATodesco, EAnalytic Estimates of Magnetic Energy in Superconducting QuadrupolesAccelerators and Storage RingsIn this paper, we propose analytical formulae to determine the magnetic energy stored in superconducting quadrupoles made of sector coils. The study is based on the Fourier transformation of the current density flowing within the coils. The case of real magnets (i.e., magnets which are not made of pure sector coils) is treated and a heuristic corrective coefficient allowing taking into account the energy enhancement due to current grading is derived from a numerical study. We also introduce the effect of an unsaturated iron yoke on the stored energy and we discuss the issue of the yoke saturation.oai:cds.cern.ch:11692742008
spellingShingle Accelerators and Storage Rings
Borgnolutti, F
Mailfert, A
Todesco, E
Analytic Estimates of Magnetic Energy in Superconducting Quadrupoles
title Analytic Estimates of Magnetic Energy in Superconducting Quadrupoles
title_full Analytic Estimates of Magnetic Energy in Superconducting Quadrupoles
title_fullStr Analytic Estimates of Magnetic Energy in Superconducting Quadrupoles
title_full_unstemmed Analytic Estimates of Magnetic Energy in Superconducting Quadrupoles
title_short Analytic Estimates of Magnetic Energy in Superconducting Quadrupoles
title_sort analytic estimates of magnetic energy in superconducting quadrupoles
topic Accelerators and Storage Rings
url https://dx.doi.org/10.1109/TASC.2008.2007271
http://cds.cern.ch/record/1169274
work_keys_str_mv AT borgnoluttif analyticestimatesofmagneticenergyinsuperconductingquadrupoles
AT mailferta analyticestimatesofmagneticenergyinsuperconductingquadrupoles
AT todescoe analyticestimatesofmagneticenergyinsuperconductingquadrupoles

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