On Various High-Order Newton-Like Power Flow Methods for Well and Ill-Conditioned Cases

Recently, the high-order Newton-like methods have gained popularity for solving power flow problems due to their simplicity, versatility and, in some cases, efficiency. In this context, recent research studied the applicability of the 4th order Jarrat’s method as applied to power flow calculation (P...

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Detalles Bibliográficos
Autores: Alharbi, Talal, Tostado-Véliz, Marcos, Alrumayh, Omar, Jurado-Melguizo, Francisco
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Universidad de Jaén
Repositorio:RUJA. Repositorio Institucional de la Producción Científica de la Universidad de Jaén
OAI Identifier:oai:ruja.ujaen.es:10953/2920
Acceso en línea:https://www.mdpi.com/2227-7390/9/17/2019
https://hdl.handle.net/10953/2920
Access Level:acceso abierto
Palabra clave:Power-flow analysis
High-order Newton-like methods
4th order Jarrat's method
Continuous Newton's method
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spelling On Various High-Order Newton-Like Power Flow Methods for Well and Ill-Conditioned CasesAlharbi, TalalTostado-Véliz, MarcosAlrumayh, OmarJurado-Melguizo, FranciscoPower-flow analysisHigh-order Newton-like methods4th order Jarrat's methodContinuous Newton's methodRecently, the high-order Newton-like methods have gained popularity for solving power flow problems due to their simplicity, versatility and, in some cases, efficiency. In this context, recent research studied the applicability of the 4th order Jarrat’s method as applied to power flow calculation (PFC). Despite the 4th order of convergence of this technique, it is not competitive with the conventional solvers due to its very high computational cost. This paper addresses this issue by proposing two efficient modifications of the 4th order Jarrat’s method, which present the fourth and sixth order of convergence. In addition, continuous versions of the new proposals and the 4th order Jarrat’s method extend their applicability to ill-conditioned cases. Extensive results in multiple realistic power networks serve to sow the performance of the developed solvers. Results obtained in both well and ill-conditioned cases are promising.MDPI202420242021info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://www.mdpi.com/2227-7390/9/17/2019https://hdl.handle.net/10953/2920reponame:RUJA. Repositorio Institucional de la Producción Científica de la Universidad de Jaéninstname:Universidad de JaénInglésMathematics [2021]; [9]: [2019]info:eu-repo/semantics/openAccessoai:ruja.ujaen.es:10953/29202026-06-24T12:41:07Z
dc.title.none.fl_str_mv On Various High-Order Newton-Like Power Flow Methods for Well and Ill-Conditioned Cases
title On Various High-Order Newton-Like Power Flow Methods for Well and Ill-Conditioned Cases
spellingShingle On Various High-Order Newton-Like Power Flow Methods for Well and Ill-Conditioned Cases
Alharbi, Talal
Power-flow analysis
High-order Newton-like methods
4th order Jarrat's method
Continuous Newton's method
title_short On Various High-Order Newton-Like Power Flow Methods for Well and Ill-Conditioned Cases
title_full On Various High-Order Newton-Like Power Flow Methods for Well and Ill-Conditioned Cases
title_fullStr On Various High-Order Newton-Like Power Flow Methods for Well and Ill-Conditioned Cases
title_full_unstemmed On Various High-Order Newton-Like Power Flow Methods for Well and Ill-Conditioned Cases
title_sort On Various High-Order Newton-Like Power Flow Methods for Well and Ill-Conditioned Cases
dc.creator.none.fl_str_mv Alharbi, Talal
Tostado-Véliz, Marcos
Alrumayh, Omar
Jurado-Melguizo, Francisco
author Alharbi, Talal
author_facet Alharbi, Talal
Tostado-Véliz, Marcos
Alrumayh, Omar
Jurado-Melguizo, Francisco
author_role author
author2 Tostado-Véliz, Marcos
Alrumayh, Omar
Jurado-Melguizo, Francisco
author2_role author
author
author
dc.subject.none.fl_str_mv Power-flow analysis
High-order Newton-like methods
4th order Jarrat's method
Continuous Newton's method
topic Power-flow analysis
High-order Newton-like methods
4th order Jarrat's method
Continuous Newton's method
description Recently, the high-order Newton-like methods have gained popularity for solving power flow problems due to their simplicity, versatility and, in some cases, efficiency. In this context, recent research studied the applicability of the 4th order Jarrat’s method as applied to power flow calculation (PFC). Despite the 4th order of convergence of this technique, it is not competitive with the conventional solvers due to its very high computational cost. This paper addresses this issue by proposing two efficient modifications of the 4th order Jarrat’s method, which present the fourth and sixth order of convergence. In addition, continuous versions of the new proposals and the 4th order Jarrat’s method extend their applicability to ill-conditioned cases. Extensive results in multiple realistic power networks serve to sow the performance of the developed solvers. Results obtained in both well and ill-conditioned cases are promising.
publishDate 2021
dc.date.none.fl_str_mv 2021
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://www.mdpi.com/2227-7390/9/17/2019
https://hdl.handle.net/10953/2920
url https://www.mdpi.com/2227-7390/9/17/2019
https://hdl.handle.net/10953/2920
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Mathematics [2021]; [9]: [2019]
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:RUJA. Repositorio Institucional de la Producción Científica de la Universidad de Jaén
instname:Universidad de Jaén
instname_str Universidad de Jaén
reponame_str RUJA. Repositorio Institucional de la Producción Científica de la Universidad de Jaén
collection RUJA. Repositorio Institucional de la Producción Científica de la Universidad de Jaén
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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