An improved version of the Continuous Newton’s method for efficiently solving the Power-Flow in Ill-conditioned systems

This paper tackles the efficient Power-Flow solution of ill-conditioned cases. In that sense, those methods based on the Continuous Newton’s philosophy look very promising, however, these methodologies still present some issues mainly related with the computational efficiency or the robustness prope...

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Detalles Bibliográficos
Autores: Tostado-Véliz, Marcos, Matos, Manuel A., Peças Lopes, João A., 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:10953/2900
Acceso en línea:https://www.sciencedirect.com/science/article/pii/S0142061520301812
https://hdl.handle.net/10953/2900
Access Level:acceso abierto
Palabra clave:Power-flow
Ill-conditioned power systems
Continous Newton's method
High-order Newton-like methods
Lavretiev's regularization
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spelling An improved version of the Continuous Newton’s method for efficiently solving the Power-Flow in Ill-conditioned systemsTostado-Véliz, MarcosMatos, Manuel A.Peças Lopes, João A.Jurado-Melguizo, FranciscoPower-flowIll-conditioned power systemsContinous Newton's methodHigh-order Newton-like methodsLavretiev's regularizationThis paper tackles the efficient Power-Flow solution of ill-conditioned cases. In that sense, those methods based on the Continuous Newton’s philosophy look very promising, however, these methodologies still present some issues mainly related with the computational efficiency or the robustness properties. In order to overcome these drawbacks, we suggest several modifications about the standard structure of the Continuous Newton’s method. Thus, the standard Continuous Newton’s paradigm is firstly modified with a frozen Jacobian scheme for reducing its computational burden; secondly, it is extended for being used with High-order Newton-like method for achieving higher convergence rate and, finally, a regularization scheme is introduced for improving its robustness features. On the basis of the suggested improvements, a Power-Flow solution paradigm is developed. As example, a novel Power-Flow solver based on the introduced solution framework and the 4th order Runge-Kutta formula is developed. The novel technique is validated in several realistic large-scale ill-conditioned systems. Results show that the suggested modifications allow to overcome the drawbacks presented by those methodologies based on the Continuous Newton’s method. On the light of the results obtained it can be also claimed, that the developed solution paradigm constitutes a promising framework for developing robust and efficient Power-Flow solution techniques.Elsevier202420242021info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://www.sciencedirect.com/science/article/pii/S0142061520301812https://hdl.handle.net/10953/2900reponame:RUJA. Repositorio Institucional de la Producción Científica de la Universidad de Jaéninstname:Universidad de JaénInglésInternational Journal of Electrical Power & Energy Systems [2021]; [124]: [106389]info:eu-repo/semantics/openAccessoai:ruja.ujaen.es:10953/29002026-06-24T12:41:07Z
dc.title.none.fl_str_mv An improved version of the Continuous Newton’s method for efficiently solving the Power-Flow in Ill-conditioned systems
title An improved version of the Continuous Newton’s method for efficiently solving the Power-Flow in Ill-conditioned systems
spellingShingle An improved version of the Continuous Newton’s method for efficiently solving the Power-Flow in Ill-conditioned systems
Tostado-Véliz, Marcos
Power-flow
Ill-conditioned power systems
Continous Newton's method
High-order Newton-like methods
Lavretiev's regularization
title_short An improved version of the Continuous Newton’s method for efficiently solving the Power-Flow in Ill-conditioned systems
title_full An improved version of the Continuous Newton’s method for efficiently solving the Power-Flow in Ill-conditioned systems
title_fullStr An improved version of the Continuous Newton’s method for efficiently solving the Power-Flow in Ill-conditioned systems
title_full_unstemmed An improved version of the Continuous Newton’s method for efficiently solving the Power-Flow in Ill-conditioned systems
title_sort An improved version of the Continuous Newton’s method for efficiently solving the Power-Flow in Ill-conditioned systems
dc.creator.none.fl_str_mv Tostado-Véliz, Marcos
Matos, Manuel A.
Peças Lopes, João A.
Jurado-Melguizo, Francisco
author Tostado-Véliz, Marcos
author_facet Tostado-Véliz, Marcos
Matos, Manuel A.
Peças Lopes, João A.
Jurado-Melguizo, Francisco
author_role author
author2 Matos, Manuel A.
Peças Lopes, João A.
Jurado-Melguizo, Francisco
author2_role author
author
author
dc.subject.none.fl_str_mv Power-flow
Ill-conditioned power systems
Continous Newton's method
High-order Newton-like methods
Lavretiev's regularization
topic Power-flow
Ill-conditioned power systems
Continous Newton's method
High-order Newton-like methods
Lavretiev's regularization
description This paper tackles the efficient Power-Flow solution of ill-conditioned cases. In that sense, those methods based on the Continuous Newton’s philosophy look very promising, however, these methodologies still present some issues mainly related with the computational efficiency or the robustness properties. In order to overcome these drawbacks, we suggest several modifications about the standard structure of the Continuous Newton’s method. Thus, the standard Continuous Newton’s paradigm is firstly modified with a frozen Jacobian scheme for reducing its computational burden; secondly, it is extended for being used with High-order Newton-like method for achieving higher convergence rate and, finally, a regularization scheme is introduced for improving its robustness features. On the basis of the suggested improvements, a Power-Flow solution paradigm is developed. As example, a novel Power-Flow solver based on the introduced solution framework and the 4th order Runge-Kutta formula is developed. The novel technique is validated in several realistic large-scale ill-conditioned systems. Results show that the suggested modifications allow to overcome the drawbacks presented by those methodologies based on the Continuous Newton’s method. On the light of the results obtained it can be also claimed, that the developed solution paradigm constitutes a promising framework for developing robust and efficient Power-Flow solution techniques.
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.sciencedirect.com/science/article/pii/S0142061520301812
https://hdl.handle.net/10953/2900
url https://www.sciencedirect.com/science/article/pii/S0142061520301812
https://hdl.handle.net/10953/2900
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv International Journal of Electrical Power & Energy Systems [2021]; [124]: [106389]
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 Elsevier
publisher.none.fl_str_mv Elsevier
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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