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...
- Autores:
-
Montoya, Oscar Danilo
Molina-Cabrera, Alexander
Hernández, Jesus C.
- Tipo de recurso:
- Fecha de publicación:
- 2021
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/10382
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/10382
https://doi.org/10.3390/electronics10212573
- Palabra clave:
- Power flow methods
Electric distribution grids
Single-phase representation
Numerical methods for distribution networks
Linear and quadratic convergence
LEMB
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation |
| title |
A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation |
| spellingShingle |
A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation Power flow methods Electric distribution grids Single-phase representation Numerical methods for distribution networks Linear and quadratic convergence LEMB |
| 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 |
A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation |
| dc.creator.fl_str_mv |
Montoya, Oscar Danilo Molina-Cabrera, Alexander Hernández, Jesus C. |
| dc.contributor.author.none.fl_str_mv |
Montoya, Oscar Danilo Molina-Cabrera, Alexander Hernández, Jesus C. |
| dc.subject.keywords.spa.fl_str_mv |
Power flow methods Electric distribution grids Single-phase representation Numerical methods for distribution networks Linear and quadratic convergence |
| topic |
Power flow methods Electric distribution grids Single-phase representation Numerical methods for distribution networks Linear and quadratic convergence LEMB |
| dc.subject.armarc.none.fl_str_mv |
LEMB |
| 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 |
| publishDate |
2021 |
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2021-10-21 |
| dc.date.accessioned.none.fl_str_mv |
2022-01-17T20:39:58Z |
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2022-01-17T20:39:58Z |
| dc.date.submitted.none.fl_str_mv |
2022-01-07 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/restrictedAccess |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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Montoya, O.D.; Molina-Cabrera, A.; Hernández, J.C. A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation. Electronics 2021, 10, 2573. https://doi.org/10.3390/ electronics10212573 |
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https://hdl.handle.net/20.500.12585/10382 |
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https://doi.org/10.3390/electronics10212573 |
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Universidad Tecnológica de Bolívar |
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Repositorio Universidad Tecnológica de Bolívar |
| identifier_str_mv |
Montoya, O.D.; Molina-Cabrera, A.; Hernández, J.C. A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation. Electronics 2021, 10, 2573. https://doi.org/10.3390/ electronics10212573 Universidad Tecnológica de Bolívar Repositorio Universidad Tecnológica de Bolívar |
| url |
https://hdl.handle.net/20.500.12585/10382 https://doi.org/10.3390/electronics10212573 |
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eng |
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eng |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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info:eu-repo/semantics/openAccess |
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://purl.org/coar/access_right/c_abf2 |
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openAccess |
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17 páginas |
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application/pdf |
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Cartagena de Indias |
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Electronics - vol. 10 n° 21 |
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Universidad Tecnológica de Bolívar |
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Montoya, Oscar Danilo8a59ede1-6a4a-4d2e-abdc-d0afb14d4480Molina-Cabrera, Alexander01b29f76-a1f3-4151-a070-ce883ba39849Hernández, Jesus C.349b3120-388b-42be-8bea-32156f0dc09d2022-01-17T20:39:58Z2022-01-17T20:39:58Z2021-10-212022-01-07Montoya, O.D.; Molina-Cabrera, A.; Hernández, J.C. A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation. Electronics 2021, 10, 2573. https://doi.org/10.3390/ electronics10212573https://hdl.handle.net/20.500.12585/10382https://doi.org/10.3390/electronics10212573Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarThis 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 convergence17 páginasapplication/pdfenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://purl.org/coar/access_right/c_abf2Electronics - vol. 10 n° 21A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representationinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/restrictedAccesshttp://purl.org/coar/resource_type/c_2df8fbb1Power flow methodsElectric distribution gridsSingle-phase representationNumerical methods for distribution networksLinear and quadratic convergenceLEMBCartagena de IndiasMurty, P. Load Flow Analysis. In Electrical Power Systems; Elsevier: Amsterdam, The Netherlands, 2017; pp. 527–587. doi:10.1016/b978-0-08-101124-9.00019-x.Albadi, M. Power Flow Analysis. In Computational Models in Engineering; IntechOpen: London, UK, 2020. doi:10.5772/intechopen.83374.Tyagi, A.; Kumar, K.; Ansari, M.A.; Kumar, B. An efficient load flow solution for distribution system with addition of distributed generation using improved harmony search algorithms. J. Electr. Syst. Inf. Technol. 2020, 7, 1–16. doi:10.1186/s43067-020-00014-7Milano, F. Analogy and Convergence of Levenberg’s and Lyapunov-Based Methods for Power Flow Analysis. IEEE Trans. Power Syst. 2016, 31, 1663–1664. doi:10.1109/tpwrs.2015.2415455.Acosta, C.; Hincapié, R.A.; Granada, M.; Escobar, A.H.; Gallego, R.A. An Efficient Three Phase Four Wire Radial Power Flow Including Neutral-Earth Effect. J. Control Autom. Electr. Syst. 2013, 24, 690–701. doi:10.1007/s40313-013-0049-7Herrera-Briñez, M.C.; Montoya, O.D.; Alvarado-Barrios, L.; Chamorro, H.R. The Equivalence between Successive Approximations and Matricial Load Flow Formulations. Appl. Sci. 2021, 11, 2905. doi:10.3390/app11072905Shirmohammadi, D.; Hong, H.; Semlyen, A.; Luo, G. A compensation-based power flow method for weakly meshed distribution and transmission networks. IEEE Trans. Power Syst. 1988, 3, 753–762. doi:10.1109/59.192932.Cheng, C.; Shirmohammadi, D. A three-phase power flow method for real-time distribution system analysis. IEEE Trans. Power Syst. 1995, 10, 671–679. doi:10.1109/59.387902.Haque, M. Efficient load flow method for distribution systems with radial or mesh configuration. IEE Proc. Gener. Transm. Distrib. 1996, 143, 33. doi:10.1049/ip-gtd:19960045.Teng, J.H. A modified Gauss–Seidel algorithm of three-phase power flow analysis in distribution networks. Int. J. Electr. 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