A Recursive Formula for the Evaluation of Earth Return Impedance on Buried Cables

This paper presents an alternative solution based on infinite series for the accurate and efficient evaluation of cable earth return impedances. This method uses Wedepohl and Wilcox’s transformation to decompose Pollaczek’s integral in a set of Bessel functions and a definite integral. The main feat...

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Autores:
Iracheta, Reynaldo
Tipo de recurso:
Article of journal
Fecha de publicación:
2015
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/67641
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/67641
http://bdigital.unal.edu.co/68670/
Palabra clave:
62 Ingeniería y operaciones afines / Engineering
Earth-return impedance
Pollaczek’s integral
Wedepohl’s integral
infinite series expansion
recursive formula
buried cables
Numerical Laplace Transform (NLT).
Impedancia de retorno por tierra
Integral de Pollaczek
Integral de Wedepohl
serie infinita
fórmula recursiva
cables subterráneos
Transformada Numérica de Laplace (NLT).
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_58c985eb562cc1d4ab68fe4e7942fc50
oai_identifier_str oai:repositorio.unal.edu.co:unal/67641
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
dc.title.spa.fl_str_mv A Recursive Formula for the Evaluation of Earth Return Impedance on Buried Cables
title A Recursive Formula for the Evaluation of Earth Return Impedance on Buried Cables
spellingShingle A Recursive Formula for the Evaluation of Earth Return Impedance on Buried Cables
62 Ingeniería y operaciones afines / Engineering
Earth-return impedance
Pollaczek’s integral
Wedepohl’s integral
infinite series expansion
recursive formula
buried cables
Numerical Laplace Transform (NLT).
Impedancia de retorno por tierra
Integral de Pollaczek
Integral de Wedepohl
serie infinita
fórmula recursiva
cables subterráneos
Transformada Numérica de Laplace (NLT).
title_short A Recursive Formula for the Evaluation of Earth Return Impedance on Buried Cables
title_full A Recursive Formula for the Evaluation of Earth Return Impedance on Buried Cables
title_fullStr A Recursive Formula for the Evaluation of Earth Return Impedance on Buried Cables
title_full_unstemmed A Recursive Formula for the Evaluation of Earth Return Impedance on Buried Cables
title_sort A Recursive Formula for the Evaluation of Earth Return Impedance on Buried Cables
dc.creator.fl_str_mv Iracheta, Reynaldo
dc.contributor.author.spa.fl_str_mv Iracheta, Reynaldo
dc.subject.ddc.spa.fl_str_mv 62 Ingeniería y operaciones afines / Engineering
topic 62 Ingeniería y operaciones afines / Engineering
Earth-return impedance
Pollaczek’s integral
Wedepohl’s integral
infinite series expansion
recursive formula
buried cables
Numerical Laplace Transform (NLT).
Impedancia de retorno por tierra
Integral de Pollaczek
Integral de Wedepohl
serie infinita
fórmula recursiva
cables subterráneos
Transformada Numérica de Laplace (NLT).
dc.subject.proposal.spa.fl_str_mv Earth-return impedance
Pollaczek’s integral
Wedepohl’s integral
infinite series expansion
recursive formula
buried cables
Numerical Laplace Transform (NLT).
Impedancia de retorno por tierra
Integral de Pollaczek
Integral de Wedepohl
serie infinita
fórmula recursiva
cables subterráneos
Transformada Numérica de Laplace (NLT).
description This paper presents an alternative solution based on infinite series for the accurate and efficient evaluation of cable earth return impedances. This method uses Wedepohl and Wilcox’s transformation to decompose Pollaczek’s integral in a set of Bessel functions and a definite integral. The main feature of Bessel functions is that they are easy to compute in modern mathematical software tools such as Matlab. The main contributions of this paper are the approximation of the definite integral by an infinite series, since it does not have analytical solution; and its numerical solution by means of a recursive formula. The accuracy and efficiency of this recursive formula is compared against the numerical integration method for a broad range of frequencies and cable  configurations. Finally, the proposed method is used as a subroutine for cable parameter calculation in the inverse Numerical Laplace Transform (NLT) to obtain accurate transient responses in the time domain.
publishDate 2015
dc.date.issued.spa.fl_str_mv 2015-09-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T04:44:48Z
dc.date.available.spa.fl_str_mv 2019-07-03T04:44:48Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
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dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.content.spa.fl_str_mv Text
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dc.identifier.issn.spa.fl_str_mv ISSN: 2248-8723
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/67641
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/68670/
identifier_str_mv ISSN: 2248-8723
url https://repositorio.unal.edu.co/handle/unal/67641
http://bdigital.unal.edu.co/68670/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/ingeinv/article/view/49391
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Ingeniería e Investigación
Ingeniería e Investigación
dc.relation.references.spa.fl_str_mv Iracheta, Reynaldo (2015) A Recursive Formula for the Evaluation of Earth Return Impedance on Buried Cables. Ingeniería e Investigación, 35 (3). pp. 34-43. ISSN 2248-8723
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ingeniería
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/67641/1/49391-276921-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Iracheta, Reynaldob45384d9-7092-4097-bb75-4b8d2349373a3002019-07-03T04:44:48Z2019-07-03T04:44:48Z2015-09-01ISSN: 2248-8723https://repositorio.unal.edu.co/handle/unal/67641http://bdigital.unal.edu.co/68670/This paper presents an alternative solution based on infinite series for the accurate and efficient evaluation of cable earth return impedances. This method uses Wedepohl and Wilcox’s transformation to decompose Pollaczek’s integral in a set of Bessel functions and a definite integral. The main feature of Bessel functions is that they are easy to compute in modern mathematical software tools such as Matlab. The main contributions of this paper are the approximation of the definite integral by an infinite series, since it does not have analytical solution; and its numerical solution by means of a recursive formula. The accuracy and efficiency of this recursive formula is compared against the numerical integration method for a broad range of frequencies and cable  configurations. Finally, the proposed method is used as a subroutine for cable parameter calculation in the inverse Numerical Laplace Transform (NLT) to obtain accurate transient responses in the time domain.En este artículo se presenta una solución alternativa basada en series infinitas para la evaluación precisa y eficiente de la impedancia de retorno por tierra en cables subterráneos. En este método se utiliza la transformación de Wedepohl y Wilcox para descomponer la integral impropia de Pollaczek en un conjunto de funciones de Bessel más una integral definida. La característica principal de las funciones de Bessel es que son fáciles de calcular con herramientas modernas de software matemático como Matlab. Las principales contribuciones de este artículo son la aproximación de la integral definida por una serie infinita, dado que no tiene solución ana-lítica, y su evaluación numérica por medio de una fórmula recursiva. La precisión y eficiencia de la fórmula recursiva se compara contra el método de integración numérica para un amplio rango de frecuencias y configuraciones de cables subterráneos. Finalmen-te, se utiliza el método propuesto como una subrutina de cálculo de parámetros de cables en la Transformada Numérica de Laplace (NLT) para obtener respuestas transitorias precisas en el dominio del tiempo.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ingenieríahttps://revistas.unal.edu.co/index.php/ingeinv/article/view/49391Universidad Nacional de Colombia Revistas electrónicas UN Ingeniería e InvestigaciónIngeniería e InvestigaciónIracheta, Reynaldo (2015) A Recursive Formula for the Evaluation of Earth Return Impedance on Buried Cables. Ingeniería e Investigación, 35 (3). pp. 34-43. ISSN 2248-872362 Ingeniería y operaciones afines / EngineeringEarth-return impedancePollaczek’s integralWedepohl’s integralinfinite series expansionrecursive formulaburied cablesNumerical Laplace Transform (NLT).Impedancia de retorno por tierraIntegral de PollaczekIntegral de Wedepohlserie infinitafórmula recursivacables subterráneosTransformada Numérica de Laplace (NLT).A Recursive Formula for the Evaluation of Earth Return Impedance on Buried CablesArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL49391-276921-1-PB.pdfapplication/pdf2513406https://repositorio.unal.edu.co/bitstream/unal/67641/1/49391-276921-1-PB.pdfa85d3400807ad0a1cdf24f7a489725cfMD51THUMBNAIL49391-276921-1-PB.pdf.jpg49391-276921-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg8490https://repositorio.unal.edu.co/bitstream/unal/67641/2/49391-276921-1-PB.pdf.jpg646dad5c85cf588022a686cd1cf9cf4fMD52unal/67641oai:repositorio.unal.edu.co:unal/676412024-05-22 23:34:05.434Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co