Evaluation on the equivalence between the backward/forward iterative sweep and the triangular-based power flow methods in electrical distribution networks
This paper demonstrates that graph-based power flow methods for strictly radial distribution networks (one based on the upper-triangular matrix and the other on the incidence matrix or classical backward/forward power flow method) are equivalent, implying that both recursive power flow formulas are...
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| Format: | Article |
| Language: | English |
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Universidad Industrial de Santander
2024-11-01
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| Series: | Revista UIS Ingenierías |
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| Online Access: | https://revistas.uis.edu.co/index.php/revistauisingenierias/article/view/14702 |
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| author | Oscar Danilo Montoya-Giraldo Walter Gil-González Edwin Rivas-Trujillo |
| author_facet | Oscar Danilo Montoya-Giraldo Walter Gil-González Edwin Rivas-Trujillo |
| author_sort | Oscar Danilo Montoya-Giraldo |
| collection | DOAJ |
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This paper demonstrates that graph-based power flow methods for strictly radial distribution networks (one based on the upper-triangular matrix and the other on the incidence matrix or classical backward/forward power flow method) are equivalent, implying that both recursive power flow formulas are the same. A small distribution network composed
of seven nodes and six distribution lines is considered to demonstrate this equivalence. The main contribution of this research lies in the fact that it obtains a matrix relation between the upper triangular matrix and the demand-to-demand
branch-to-node incidence matrix. Numerical comparisons in single-phase distribution networks comprising 33, 34, 69,
and 85 nodes and three-phase asymmetric networks comprising 8, 25, and 37 nodes confirm the theoretical results.
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| format | Article |
| id | doaj-art-09c92c4ab8f54ac29e38f63ff38ef39b |
| institution | Kabale University |
| issn | 1657-4583 2145-8456 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Universidad Industrial de Santander |
| record_format | Article |
| series | Revista UIS Ingenierías |
| spelling | doaj-art-09c92c4ab8f54ac29e38f63ff38ef39b2024-12-03T17:52:22ZengUniversidad Industrial de SantanderRevista UIS Ingenierías1657-45832145-84562024-11-0123410.18273/revuin.v23n4-2024009Evaluation on the equivalence between the backward/forward iterative sweep and the triangular-based power flow methods in electrical distribution networksOscar Danilo Montoya-Giraldo0Walter Gil-González1Edwin Rivas-Trujillo2Universidad Distrital Francisco José de CaldasUniversidad Tecnológica de PereiraUniversidad Distrital Francisco José de Caldas This paper demonstrates that graph-based power flow methods for strictly radial distribution networks (one based on the upper-triangular matrix and the other on the incidence matrix or classical backward/forward power flow method) are equivalent, implying that both recursive power flow formulas are the same. A small distribution network composed of seven nodes and six distribution lines is considered to demonstrate this equivalence. The main contribution of this research lies in the fact that it obtains a matrix relation between the upper triangular matrix and the demand-to-demand branch-to-node incidence matrix. Numerical comparisons in single-phase distribution networks comprising 33, 34, 69, and 85 nodes and three-phase asymmetric networks comprising 8, 25, and 37 nodes confirm the theoretical results. https://revistas.uis.edu.co/index.php/revistauisingenierias/article/view/14702Upper-triangular matrixbranch-to-node incidence matrixpower flow methodsequivalent formulation |
| spellingShingle | Oscar Danilo Montoya-Giraldo Walter Gil-González Edwin Rivas-Trujillo Evaluation on the equivalence between the backward/forward iterative sweep and the triangular-based power flow methods in electrical distribution networks Revista UIS Ingenierías Upper-triangular matrix branch-to-node incidence matrix power flow methods equivalent formulation |
| title | Evaluation on the equivalence between the backward/forward iterative sweep and the triangular-based power flow methods in electrical distribution networks |
| title_full | Evaluation on the equivalence between the backward/forward iterative sweep and the triangular-based power flow methods in electrical distribution networks |
| title_fullStr | Evaluation on the equivalence between the backward/forward iterative sweep and the triangular-based power flow methods in electrical distribution networks |
| title_full_unstemmed | Evaluation on the equivalence between the backward/forward iterative sweep and the triangular-based power flow methods in electrical distribution networks |
| title_short | Evaluation on the equivalence between the backward/forward iterative sweep and the triangular-based power flow methods in electrical distribution networks |
| title_sort | evaluation on the equivalence between the backward forward iterative sweep and the triangular based power flow methods in electrical distribution networks |
| topic | Upper-triangular matrix branch-to-node incidence matrix power flow methods equivalent formulation |
| url | https://revistas.uis.edu.co/index.php/revistauisingenierias/article/view/14702 |
| work_keys_str_mv | AT oscardanilomontoyagiraldo evaluationontheequivalencebetweenthebackwardforwarditerativesweepandthetriangularbasedpowerflowmethodsinelectricaldistributionnetworks AT waltergilgonzalez evaluationontheequivalencebetweenthebackwardforwarditerativesweepandthetriangularbasedpowerflowmethodsinelectricaldistributionnetworks AT edwinrivastrujillo evaluationontheequivalencebetweenthebackwardforwarditerativesweepandthetriangularbasedpowerflowmethodsinelectricaldistributionnetworks |