Enlarged current injection model for the power flow solution of unbalanced distribution networks

This paper presents an approach for the power flow solution of three-phase, four-wire unbalanced distribution networks. The proposed formulation uses rectangular coordinates and, unlike most earlier approaches, both bus voltages and injected currents are retained as variables. The Newton–Raphson met...

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Main Authors: Rubén Carmona-Pardo, Álvaro Rodríguez del Nozal, Esther Romero-Ramos, Antonio Gómez-Expósito
Format: Article
Language:English
Published: Elsevier 2025-04-01
Series:International Journal of Electrical Power & Energy Systems
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0142061525000468
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author Rubén Carmona-Pardo
Álvaro Rodríguez del Nozal
Esther Romero-Ramos
Antonio Gómez-Expósito
author_facet Rubén Carmona-Pardo
Álvaro Rodríguez del Nozal
Esther Romero-Ramos
Antonio Gómez-Expósito
author_sort Rubén Carmona-Pardo
collection DOAJ
description This paper presents an approach for the power flow solution of three-phase, four-wire unbalanced distribution networks. The proposed formulation uses rectangular coordinates and, unlike most earlier approaches, both bus voltages and injected currents are retained as variables. The Newton–Raphson method is then applied to the augmented system of equations, resulting in an iterative process that is solved optimally. All together, this scheme constitutes a novel solution to the power flow problem of unbalanced distribution networks, leveraging its enhanced numerical conditioning to improve the convergence rate. A thorough analysis of the proposed approach on several real-life distribution networks demonstrates its performance and robustness, when compared to the conventional current injection method.
format Article
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institution Kabale University
issn 0142-0615
language English
publishDate 2025-04-01
publisher Elsevier
record_format Article
series International Journal of Electrical Power & Energy Systems
spelling doaj-art-608209730f234be5b17f3f9a25e566df2025-02-02T05:26:37ZengElsevierInternational Journal of Electrical Power & Energy Systems0142-06152025-04-01165110495Enlarged current injection model for the power flow solution of unbalanced distribution networksRubén Carmona-Pardo0Álvaro Rodríguez del Nozal1Esther Romero-Ramos2Antonio Gómez-Expósito3Department of Electrical Engineering, Universidad de Sevilla, Seville, Spain; Ingelectus Innovative Electrical Solutions, Seville, SpainDepartment of Electrical Engineering, Universidad de Sevilla, Seville, Spain; Corresponding author.Department of Electrical Engineering, Universidad de Sevilla, Seville, Spain; ENGREEN Laboratory of Engineering for Energy and Environmental Sustainability of Universidad de Sevilla, Seville, SpainDepartment of Electrical Engineering, Universidad de Sevilla, Seville, Spain; ENGREEN Laboratory of Engineering for Energy and Environmental Sustainability of Universidad de Sevilla, Seville, SpainThis paper presents an approach for the power flow solution of three-phase, four-wire unbalanced distribution networks. The proposed formulation uses rectangular coordinates and, unlike most earlier approaches, both bus voltages and injected currents are retained as variables. The Newton–Raphson method is then applied to the augmented system of equations, resulting in an iterative process that is solved optimally. All together, this scheme constitutes a novel solution to the power flow problem of unbalanced distribution networks, leveraging its enhanced numerical conditioning to improve the convergence rate. A thorough analysis of the proposed approach on several real-life distribution networks demonstrates its performance and robustness, when compared to the conventional current injection method.http://www.sciencedirect.com/science/article/pii/S0142061525000468Power flowCurrent injection methodsDistribution networksRectangular coordinates
spellingShingle Rubén Carmona-Pardo
Álvaro Rodríguez del Nozal
Esther Romero-Ramos
Antonio Gómez-Expósito
Enlarged current injection model for the power flow solution of unbalanced distribution networks
International Journal of Electrical Power & Energy Systems
Power flow
Current injection methods
Distribution networks
Rectangular coordinates
title Enlarged current injection model for the power flow solution of unbalanced distribution networks
title_full Enlarged current injection model for the power flow solution of unbalanced distribution networks
title_fullStr Enlarged current injection model for the power flow solution of unbalanced distribution networks
title_full_unstemmed Enlarged current injection model for the power flow solution of unbalanced distribution networks
title_short Enlarged current injection model for the power flow solution of unbalanced distribution networks
title_sort enlarged current injection model for the power flow solution of unbalanced distribution networks
topic Power flow
Current injection methods
Distribution networks
Rectangular coordinates
url http://www.sciencedirect.com/science/article/pii/S0142061525000468
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AT alvarorodriguezdelnozal enlargedcurrentinjectionmodelforthepowerflowsolutionofunbalanceddistributionnetworks
AT estherromeroramos enlargedcurrentinjectionmodelforthepowerflowsolutionofunbalanceddistributionnetworks
AT antoniogomezexposito enlargedcurrentinjectionmodelforthepowerflowsolutionofunbalanceddistributionnetworks