Convergence analysis of the triangular-based power flow method for AC distribution grids
This paper addresses the convergence analysis of the triangular-based power flow (PF) method in alternating current radial distribution networks. The PF formulation is made via upper-triangular matrices, which enables finding a general iterative PF formula that does not require admittance matrix cal...
- Autores:
-
Herrera, María Camila
Montoya, Oscar Danilo
Molina-Cabrera, Alexander
Grisales-Noreña, Luis Fernando
Giral-Ramírez, Diego Armando
- 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:20.500.12585/10705
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/10705
- Palabra clave:
- Banach fixed-point theorem
Convergence analysis
Electric distribution networks
Triangular-based power flow method
LEMB
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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Convergence analysis of the triangular-based power flow method for AC distribution grids |
| title |
Convergence analysis of the triangular-based power flow method for AC distribution grids |
| spellingShingle |
Convergence analysis of the triangular-based power flow method for AC distribution grids Banach fixed-point theorem Convergence analysis Electric distribution networks Triangular-based power flow method LEMB |
| title_short |
Convergence analysis of the triangular-based power flow method for AC distribution grids |
| title_full |
Convergence analysis of the triangular-based power flow method for AC distribution grids |
| title_fullStr |
Convergence analysis of the triangular-based power flow method for AC distribution grids |
| title_full_unstemmed |
Convergence analysis of the triangular-based power flow method for AC distribution grids |
| title_sort |
Convergence analysis of the triangular-based power flow method for AC distribution grids |
| dc.creator.fl_str_mv |
Herrera, María Camila Montoya, Oscar Danilo Molina-Cabrera, Alexander Grisales-Noreña, Luis Fernando Giral-Ramírez, Diego Armando |
| dc.contributor.author.none.fl_str_mv |
Herrera, María Camila Montoya, Oscar Danilo Molina-Cabrera, Alexander Grisales-Noreña, Luis Fernando Giral-Ramírez, Diego Armando |
| dc.subject.keywords.spa.fl_str_mv |
Banach fixed-point theorem Convergence analysis Electric distribution networks Triangular-based power flow method |
| topic |
Banach fixed-point theorem Convergence analysis Electric distribution networks Triangular-based power flow method LEMB |
| dc.subject.armarc.none.fl_str_mv |
LEMB |
| description |
This paper addresses the convergence analysis of the triangular-based power flow (PF) method in alternating current radial distribution networks. The PF formulation is made via upper-triangular matrices, which enables finding a general iterative PF formula that does not require admittance matrix calculations. The convergence analysis of this iter ative formula is carried out by applying the Banach fixed-point theorem (BFPT), which allows demonstrating that under an adequate voltage profile the triangular-based PF always converges. Numerical validations are made, on the well-known 33 and 69 dis tribution networks test systems. Gauss-seidel, newton-raphson, and backward/forward PF methods are considered for the sake of comparison. All the simulations are carried out in MATLAB software. |
| publishDate |
2021 |
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2021-06-30 |
| dc.date.accessioned.none.fl_str_mv |
2022-07-08T13:53:44Z |
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2022-07-08T13:53:44Z |
| dc.date.submitted.none.fl_str_mv |
2022-07-07 |
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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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Herrera, Maria & Montoya Giraldo, Oscar & Molina-Cabrera, Alexander & Grisales-Noreña, Luis & Giral-Ramirez, Diego. (2022). Convergence analysis of the triangular-based power flow method for AC distribution grids. International Journal of Electrical and Computer Engineering (IJECE). 12. 41. 10.11591/ijece.v12i1.pp41-49. |
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https://hdl.handle.net/20.500.12585/10705 |
| dc.identifier.doi.none.fl_str_mv |
10.11591/ijece.v12i1.pp41-49 |
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Universidad Tecnológica de Bolívar |
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Repositorio Universidad Tecnológica de Bolívar |
| identifier_str_mv |
Herrera, Maria & Montoya Giraldo, Oscar & Molina-Cabrera, Alexander & Grisales-Noreña, Luis & Giral-Ramirez, Diego. (2022). Convergence analysis of the triangular-based power flow method for AC distribution grids. International Journal of Electrical and Computer Engineering (IJECE). 12. 41. 10.11591/ijece.v12i1.pp41-49. 10.11591/ijece.v12i1.pp41-49 Universidad Tecnológica de Bolívar Repositorio Universidad Tecnológica de Bolívar |
| url |
https://hdl.handle.net/20.500.12585/10705 |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
eng |
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http://purl.org/coar/access_right/c_abf2 |
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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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9 Páginas |
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application/pdf |
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Cartagena de Indias |
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International Journal of Electrical and Computer Engineering (IJECE) - Vol. 12, No 1 (2022) |
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Universidad Tecnológica de Bolívar |
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Herrera, María Camila393b8ac2-a884-4d22-b4cb-fbaa5e97005eMontoya, Oscar Danilo8a59ede1-6a4a-4d2e-abdc-d0afb14d4480Molina-Cabrera, Alexander01b29f76-a1f3-4151-a070-ce883ba39849Grisales-Noreña, Luis Fernando7c27cda4-5fe4-4686-8f72-b0442c58a5d1Giral-Ramírez, Diego Armandoa9612d05-bc90-49f9-94c7-20a0766e00f52022-07-08T13:53:44Z2022-07-08T13:53:44Z2021-06-302022-07-07Herrera, Maria & Montoya Giraldo, Oscar & Molina-Cabrera, Alexander & Grisales-Noreña, Luis & Giral-Ramirez, Diego. (2022). Convergence analysis of the triangular-based power flow method for AC distribution grids. International Journal of Electrical and Computer Engineering (IJECE). 12. 41. 10.11591/ijece.v12i1.pp41-49.https://hdl.handle.net/20.500.12585/1070510.11591/ijece.v12i1.pp41-49Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarThis paper addresses the convergence analysis of the triangular-based power flow (PF) method in alternating current radial distribution networks. The PF formulation is made via upper-triangular matrices, which enables finding a general iterative PF formula that does not require admittance matrix calculations. The convergence analysis of this iter ative formula is carried out by applying the Banach fixed-point theorem (BFPT), which allows demonstrating that under an adequate voltage profile the triangular-based PF always converges. Numerical validations are made, on the well-known 33 and 69 dis tribution networks test systems. Gauss-seidel, newton-raphson, and backward/forward PF methods are considered for the sake of comparison. All the simulations are carried out in MATLAB software.9 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_abf2International Journal of Electrical and Computer Engineering (IJECE) - Vol. 12, No 1 (2022)Convergence analysis of the triangular-based power flow method for AC distribution gridsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/restrictedAccesshttp://purl.org/coar/resource_type/c_2df8fbb1Banach fixed-point theoremConvergence analysisElectric distribution networksTriangular-based power flow methodLEMBCartagena de IndiasR. Poudineh, D. Peng, and S. Mirnezami, “Electricity networks,” Oxford Institute for Energy Studies, techreport, Dec. 2017.M. S. Rawat and S. 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Gil-Gonzalez, “On the numerical analysis based on successive approximations for power flow problems in AC distribution systems,” Electric Power Systems Research, vol. 187, Oct. 2020, Art. No. 106454, doi: 10.1016/j.epsr.2020.106454.J. J. Grainger and W. D. Stevenson, “Power system analysis,” ser. McGraw-Hill series in electrical and computer engineering: Power and energy. McGraw-Hill, 2003.] T. Gonen, “Modern power system analysis,” CRC Press, 2016O. D. Montoya-Giraldo, W. J. Gil-Gonzalez, and A. Garces-Ruız, “Flujo de potencia optimo para redes radiales y enmalladas empleando programacion semidefinida,” TecnoLogicas, vol. 20, no. 40, pp. 29–42, Sep. 2017.S. H. Low, “Convex relaxation of optimal power flow Part I: Formulations and equivalence,” IEEE Trans. Control Netw. Syst, vol. 1, no. 1, pp. 15–27, Mar. 2014, doi: 10.1109/TCNS.2014.2309732.M. Milovanovic, J. Radosavljevic, and B. 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Milano, “Analogy and convergence of levenberg’s and lyapunov-Based methods for power flow analysis,” IEEE Transactions on Power Systems, vol. 31, no. 2, pp. 1663–1664, Mar. 2016, doi: 10.1109/TPWRS.2015.2415455http://purl.org/coar/resource_type/c_2df8fbb1ORIGINAL25082-49641-1-PB.pdf25082-49641-1-PB.pdfapplication/pdf591984https://repositorio.utb.edu.co/bitstream/20.500.12585/10705/1/25082-49641-1-PB.pdfc02ebc7f56eb9fded97f4e95b47deb77MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805https://repositorio.utb.edu.co/bitstream/20.500.12585/10705/2/license_rdf4460e5956bc1d1639be9ae6146a50347MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-83182https://repositorio.utb.edu.co/bitstream/20.500.12585/10705/3/license.txte20ad307a1c5f3f25af9304a7a7c86b6MD53TEXT25082-49641-1-PB.pdf.txt25082-49641-1-PB.pdf.txtExtracted 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