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dc.contributor.author
Díaz Florez, Guillermo A.
dc.contributor.author
Mombello, Enrique Esteban
dc.date.available
2018-09-28T15:01:38Z
dc.date.issued
2016-03
dc.identifier.citation
Díaz Florez, Guillermo A.; Mombello, Enrique Esteban; New compact and singularity free formulations for the magnetic field produced by a finite cylinder considering linearly varying current density; IOS Press; International Journal of Applied Electromagnetics and Mechanics; 50; 3; 3-2016; 483-501
dc.identifier.issn
1383-5416
dc.identifier.uri
http://hdl.handle.net/11336/61201
dc.description.abstract
This paper presents new compact analytical expressions for the magnetic field calculation produced by a finite cylindrical sheet. A linearly varying surface current density between the ends of the cylindrical sheet has been assumed as current source. The expressions presented in this work are substantially more compact if compared with the ones currently available in the literature. Since the solutions are given in terms of complete elliptic integrals of the first, second and third kind, and the last two ones diverge at certain arguments, the field expressions also diverge at these critical points, even though the field solution is finite. These singular points are located at the ends of the current sheet cylinder. New analytical expressions are also presented for these critical points avoiding the singularities in an elegant way. The radial component of the magnetic field strength is separately discussed, and it has been proven that its solution at singular points diverges. To improve the computational performance on the evaluation of magnetic field at critical points, an alternative formulation is presented, where complete elliptic integrals of the second and third kind are replaced with alternative functions. Numerical algorithms for the computation of these functions are also presented.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
IOS Press
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Current Carrying Cylinder
dc.subject
Elliptic Integrals
dc.subject
Magnetic Field
dc.subject
Singularity
dc.subject.classification
Ingeniería de Sistemas y Comunicaciones
dc.subject.classification
Ingeniería Eléctrica, Ingeniería Electrónica e Ingeniería de la Información
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INGENIERÍAS Y TECNOLOGÍAS
dc.title
New compact and singularity free formulations for the magnetic field produced by a finite cylinder considering linearly varying current density
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-09-27T20:16:05Z
dc.journal.volume
50
dc.journal.number
3
dc.journal.pagination
483-501
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Díaz Florez, Guillermo A.. Universidad de La Salle; Colombia
dc.description.fil
Fil: Mombello, Enrique Esteban. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan. Instituto de Energía Eléctrica. Universidad Nacional de San Juan. Facultad de Ingeniería. Instituto de Energía Eléctrica; Argentina
dc.journal.title
International Journal of Applied Electromagnetics and Mechanics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.3233/JAE-150132
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://content.iospress.com/articles/international-journal-of-applied-electromagnetics-and-mechanics/jae150132
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