A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation

This paper presents a comparative analysis of six different iterative power flow methods applied to AC distribution networks, which have been recently reported in the scientific literature. These power flow methods are (i) successive approximations, (ii) matricial backward/forward method, (iii) tria...

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Autores principales:	Oscar Danilo Montoya, Alexander Molina-Cabrera, Jesus C. Hernández
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	power flow methods electric distribution grids single-phase representation numerical methods for distribution networks linear and quadratic convergence Electronics TK7800-8360
Acceso en línea:	https://doaj.org/article/ac8617f05a804a5bb52392b04537f702
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id	oai:doaj.org-article:ac8617f05a804a5bb52392b04537f702
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spelling	oai:doaj.org-article:ac8617f05a804a5bb52392b04537f7022021-11-11T15:36:45ZA Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation10.3390/electronics102125732079-9292https://doaj.org/article/ac8617f05a804a5bb52392b04537f7022021-10-01T00:00:00Zhttps://www.mdpi.com/2079-9292/10/21/2573https://doaj.org/toc/2079-9292This paper presents a comparative analysis of six different iterative power flow methods applied to AC distribution networks, which have been recently reported in the scientific literature. These power flow methods are (i) successive approximations, (ii) matricial backward/forward method, (iii) triangular-based approach, (iv) product linearization method, (v) hyperbolic linearization method, and (vi) diagonal approximation method. The first three methods and the last one are formulated without recurring derivatives, and they can be directly formulated in the complex domain; the fourth and fifth methods are based on the linear approximation of the power balance equations that are also formulated in the complex domain. The numerical comparison involves three main aspects: the convergence rate, processing time, and the number of iterations calculated using the classical Newton–Raphson method as the reference case. Numerical results from two test feeders composed of 34 and 85 nodes demonstrate that the derivative-free methods have linear convergence, and the methods that use derivatives in their formulation have quadratic convergence.Oscar Danilo MontoyaAlexander Molina-CabreraJesus C. HernándezMDPI AGarticlepower flow methodselectric distribution gridssingle-phase representationnumerical methods for distribution networkslinear and quadratic convergenceElectronicsTK7800-8360ENElectronics, Vol 10, Iss 2573, p 2573 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	power flow methods electric distribution grids single-phase representation numerical methods for distribution networks linear and quadratic convergence Electronics TK7800-8360
spellingShingle	power flow methods electric distribution grids single-phase representation numerical methods for distribution networks linear and quadratic convergence Electronics TK7800-8360 Oscar Danilo Montoya Alexander Molina-Cabrera Jesus C. Hernández A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation
description	This paper presents a comparative analysis of six different iterative power flow methods applied to AC distribution networks, which have been recently reported in the scientific literature. These power flow methods are (i) successive approximations, (ii) matricial backward/forward method, (iii) triangular-based approach, (iv) product linearization method, (v) hyperbolic linearization method, and (vi) diagonal approximation method. The first three methods and the last one are formulated without recurring derivatives, and they can be directly formulated in the complex domain; the fourth and fifth methods are based on the linear approximation of the power balance equations that are also formulated in the complex domain. The numerical comparison involves three main aspects: the convergence rate, processing time, and the number of iterations calculated using the classical Newton–Raphson method as the reference case. Numerical results from two test feeders composed of 34 and 85 nodes demonstrate that the derivative-free methods have linear convergence, and the methods that use derivatives in their formulation have quadratic convergence.
format	article
author	Oscar Danilo Montoya Alexander Molina-Cabrera Jesus C. Hernández
author_facet	Oscar Danilo Montoya Alexander Molina-Cabrera Jesus C. Hernández
author_sort	Oscar Danilo Montoya
title	A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation
title_short	A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation
title_full	A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation
title_fullStr	A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation
title_full_unstemmed	A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation
title_sort	comparative study on power flow methods applied to ac distribution networks with single-phase representation
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/ac8617f05a804a5bb52392b04537f702
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A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation

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