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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Universidad Industrial de Santander
2024-11-01
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| Series: | Revista UIS Ingenierías |
| Subjects: | |
| Online Access: | https://revistas.uis.edu.co/index.php/revistauisingenierias/article/view/14702 |
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| Summary: | 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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| ISSN: | 1657-4583 2145-8456 |