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...
- 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
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| 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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http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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http://purl.org/redcol/resource_type/ART |
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publishedVersion |
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ISSN: 2248-8723 |
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https://repositorio.unal.edu.co/handle/unal/67641 |
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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 |
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http://purl.org/coar/access_right/c_abf2 |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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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 |
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openAccess |
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application/pdf |
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Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ingeniería |
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Universidad Nacional de Colombia |
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1806886401402208256 |
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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 |