Revista UIS Ingenierías

Vol. 23 No. 4 (2024): Revista UIS Ingenierías
Articles

Evaluation on the equivalence between the backward/forward iterative sweep and the triangular-based power flow methods in electrical distribution networks

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  • Oscar Danilo Montoya-Giraldo,
  • Walter Gil-González,
  • Edwin Rivas-Trujillo
Oscar Danilo Montoya-Giraldo
Universidad Distrital Francisco José de Caldas
Walter Gil-González
Universidad Tecnológica de Pereira
Edwin Rivas-Trujillo
Universidad Distrital Francisco José de Caldas
DOI: https://doi.org/10.18273/revuin.v23n4-2024009

Published 2024-11-27

Keywords

  • Upper-triangular matrix,
  • branch-to-node incidence matrix,
  • power flow methods,
  • equivalent formulation

How to Cite

Montoya-Giraldo, O. D., Gil-González, W., & Rivas-Trujillo, E. (2024). Evaluation on the equivalence between the backward/forward iterative sweep and the triangular-based power flow methods in electrical distribution networks. Revista UIS Ingenierías, 23(4), 113–122. https://doi.org/10.18273/revuin.v23n4-2024009

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Creative Commons License

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Abstract

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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