The equivalence between successive approximations and matricial load flow formulations
This paper shows the equivalence of the matricial form of the classical backward/forward load flow formulation for distribution networks with the recently developed successive approximations (SA) load flow approach. Both formulations allow solving the load flow problem in meshed and radial distribut...
- Autores:
-
Herrera Briñez, María Camila
Montoya, Oscar Danilo
Alvarado-Barrios, Lázaro
Chamorro, Harold R.
- 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:20.500.12585/10341
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/10341
- Palabra clave:
- Successive approximations method
Matricial backward/forward method
Load flow analysis
Electrical distribution networks
Equivalent formulations
LEMB
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc/4.0/
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| dc.title.spa.fl_str_mv |
The equivalence between successive approximations and matricial load flow formulations |
| title |
The equivalence between successive approximations and matricial load flow formulations |
| spellingShingle |
The equivalence between successive approximations and matricial load flow formulations Successive approximations method Matricial backward/forward method Load flow analysis Electrical distribution networks Equivalent formulations LEMB |
| title_short |
The equivalence between successive approximations and matricial load flow formulations |
| title_full |
The equivalence between successive approximations and matricial load flow formulations |
| title_fullStr |
The equivalence between successive approximations and matricial load flow formulations |
| title_full_unstemmed |
The equivalence between successive approximations and matricial load flow formulations |
| title_sort |
The equivalence between successive approximations and matricial load flow formulations |
| dc.creator.fl_str_mv |
Herrera Briñez, María Camila Montoya, Oscar Danilo Alvarado-Barrios, Lázaro Chamorro, Harold R. |
| dc.contributor.author.none.fl_str_mv |
Herrera Briñez, María Camila Montoya, Oscar Danilo Alvarado-Barrios, Lázaro Chamorro, Harold R. |
| dc.subject.keywords.spa.fl_str_mv |
Successive approximations method Matricial backward/forward method Load flow analysis Electrical distribution networks Equivalent formulations |
| topic |
Successive approximations method Matricial backward/forward method Load flow analysis Electrical distribution networks Equivalent formulations LEMB |
| dc.subject.armarc.none.fl_str_mv |
LEMB |
| description |
This paper shows the equivalence of the matricial form of the classical backward/forward load flow formulation for distribution networks with the recently developed successive approximations (SA) load flow approach. Both formulations allow solving the load flow problem in meshed and radial distribution grids even if these are operated with alternating current (AC) or direct current (DC) technologies. Both load flow methods are completely described in this research to make a fair comparison between them and demonstrate their equivalence. Numerical comparisons in the 33- and 69-bus test feeder with radial topology show that both methods have the same number of iterations to find the solution with a convergence error defined as 1×10−10 |
| publishDate |
2021 |
| dc.date.accessioned.none.fl_str_mv |
2021-07-29T19:53:10Z |
| dc.date.available.none.fl_str_mv |
2021-07-29T19:53:10Z |
| dc.date.issued.none.fl_str_mv |
2021-03-24 |
| dc.date.submitted.none.fl_str_mv |
2021-07-29 |
| dc.type.driver.spa.fl_str_mv |
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 |
| dc.identifier.citation.spa.fl_str_mv |
Herrera-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. https://doi.org/10.3390/app11072905 |
| dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/20.500.12585/10341 |
| dc.identifier.doi.none.fl_str_mv |
10.3390/app11072905 |
| dc.identifier.instname.spa.fl_str_mv |
Universidad Tecnológica de Bolívar |
| dc.identifier.reponame.spa.fl_str_mv |
Repositorio Universidad Tecnológica de Bolívar |
| identifier_str_mv |
Herrera-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. https://doi.org/10.3390/app11072905 10.3390/app11072905 Universidad Tecnológica de Bolívar Repositorio Universidad Tecnológica de Bolívar |
| url |
https://hdl.handle.net/20.500.12585/10341 |
| 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/4.0/ |
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info:eu-repo/semantics/openAccess |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ Atribución-NoComercial 4.0 Internacional http://purl.org/coar/access_right/c_abf2 |
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openAccess |
| dc.format.extent.none.fl_str_mv |
10 páginas |
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Recurso en línea / Electrónico |
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application/pdf |
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Cartagena de Indias |
| dc.publisher.sede.spa.fl_str_mv |
Campus Tecnológico |
| dc.publisher.discipline.spa.fl_str_mv |
Ingeniería Eléctrica |
| dc.source.spa.fl_str_mv |
Applied Sciences 2021 |
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Universidad Tecnológica de Bolívar |
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Herrera Briñez, María Camila997159e5-77ba-4631-b8df-8051145cd408Montoya, Oscar Danilo8a59ede1-6a4a-4d2e-abdc-d0afb14d4480Alvarado-Barrios, Lázaro32360024-18b0-46cd-8b05-2744e95b85f6Chamorro, Harold R.59e2dcd8-f603-4e1f-8459-da694d5a324d2021-07-29T19:53:10Z2021-07-29T19:53:10Z2021-03-242021-07-29Herrera-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. https://doi.org/10.3390/app11072905https://hdl.handle.net/20.500.12585/1034110.3390/app11072905Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarThis paper shows the equivalence of the matricial form of the classical backward/forward load flow formulation for distribution networks with the recently developed successive approximations (SA) load flow approach. Both formulations allow solving the load flow problem in meshed and radial distribution grids even if these are operated with alternating current (AC) or direct current (DC) technologies. Both load flow methods are completely described in this research to make a fair comparison between them and demonstrate their equivalence. Numerical comparisons in the 33- and 69-bus test feeder with radial topology show that both methods have the same number of iterations to find the solution with a convergence error defined as 1×10−10Universidad Tecnológica de Bolívar10 páginasRecurso en línea / Electrónicoapplication/pdfenghttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccessAtribución-NoComercial 4.0 Internacionalhttp://purl.org/coar/access_right/c_abf2Applied Sciences 2021The equivalence between successive approximations and matricial load flow formulationsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/restrictedAccesshttp://purl.org/coar/resource_type/c_2df8fbb1Successive approximations methodMatricial backward/forward methodLoad flow analysisElectrical distribution networksEquivalent formulationsLEMBCartagena de IndiasCampus TecnológicoIngeniería EléctricaInvestigadoresAbdi, H.; Beigvand, S.D.; Scala, M.L. A review of optimal power flow studies applied to smart grids and microgrids. Renew. Sustain. Energy Rev. 2017, 71, 742–766.Lavaei, J.; Low, S.H. Zero Duality Gap in Optimal Power Flow Problem. IEEE Trans. Power Syst. 2012, 27, 92–107Marini, A.; Mortazavi, S.; Piegari, L.; Ghazizadeh, M.S. An efficient graph-based power flow algorithm for electrical distribution systems with a comprehensive modeling of distributed generations. Electr. Power Syst. Res. 2019, 170, 229–243Phongtrakul, T.; Kongjeen, Y.; Bhumkittipich, K. Analysis of Power Load Flow for Power Distribution System based on PyPSA Toolbox. In Proceedings of the 2018 15th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology (ECTI-CON), Chiang Rai, Thailand, 18–21 July 2018.Prabhu, J.A.X.; Sharma, S.; Nataraj, M.; Tripathi, D.P. Design of electrical system based on load flow analysis using ETAP for IEC projects. In Proceedings of the 2016 IEEE 6th International Conference on Power Systems (ICPS), New Delhi, India, 4–6 March 2016Grainger, J.J.; Stevenson, W.D. Power System Analysis; McGraw-Hill series in electrical and computer engineering: Power and energy; McGraw-Hill: New York, NY, USA, 2003Gönen, T. Modern Power System Analysis; CRC Press: Boca Raton, FL, USA, 2016Montoya, O.D.; Gil-González, W.; Giral, D.A. On the Matricial Formulation of Iterative Sweep Power Flow for Radial and Meshed Distribution Networks with Guarantee of Convergence. Appl. Sci. 2020, 10, 5802Shen, T.; Li, Y.; Xiang, J. A Graph-Based Power Flow Method for Balanced Distribution Systems. Energies 2018, 11, 511.Garces, A. A Linear Three-Phase Load Flow for Power Distribution Systems. IEEE Trans. Power Syst. 2016, 31, 827–828Bocanegra, S.Y.; Gil-Gonzalez, W.; Montoya, O.D. A New Iterative Power Flow Method for AC Distribution Grids with Radial and Mesh Topologies. In Proceedings of the 2020 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC), Ixtapa, Mexico, 4–6 November 2020Montoya, O.D.; Gil-González, W. On the numerical analysis based on successive approximations for power flow problems in AC distribution systems. Electr. Power Syst. Res. 2020, 187, 106454Li, Z.; Yu, J.; Wu, Q.H. Approximate Linear Power Flow Using Logarithmic Transform of Voltage Magnitudes With Reactive Power and Transmission Loss Consideration. IEEE Trans. Power Syst. 2018, 33, 4593–4603.Montoya, O.D. On Linear Analysis of the Power Flow Equations for DC and AC Grids With CPLs. IEEE Trans. Circuits Syst. II Express Briefs 2019, 66, 2032–2036Molzahn, D.K.; Hiskens, I.A. Sparsity-Exploiting Moment-Based Relaxations of the Optimal Power Flow Problem. IEEE Trans. Power Syst. 2015, 30, 3168–3180Grisales-Noreña, L.; Montoya, D.G.; Ramos-Paja, C. Optimal Sizing and Location of Distributed Generators Based on PBIL and PSO Techniques. Energies 2018, 11, 1018Simpson-Porco, J.W.; Dorfler, F.; Bullo, F. On Resistive Networks of Constant-Power Devices. IEEE Trans. Circuits Syst. II Express Briefs 2015, 62, 811–815.Montoya, O.D.; Garrido, V.M.; Gil-Gonzalez, W.; Grisales-Norena, L.F. Power Flow Analysis in DC Grids: Two Alternative Numerical Methods. IEEE Trans. Circuits Syst. II Express Briefs 2019, 66, 1865–1869Montoya, O.D. On the Existence of the Power Flow Solution in DC Grids With CPLs Through a Graph-Based Method. IEEE Trans. Circuits Syst. II Express Briefs 2020, 67, 1434–1438Kaur, S.; Kumbhar, G.; Sharma, J. A MINLP technique for optimal placement of multiple DG units in distribution systems. Int. J. Electr. Power Energy Syst. 2014, 63, 609–617.Gil-González, W.; Montoya, O.D.; Rajagopalan, A.; Grisales-Noreña, L.F.; Hernández, J.C. Optimal Selection and Location of Fixed-Step Capacitor Banks in Distribution Networks Using a Discrete Version of the Vortex Search Algorithm. Energies 2020, 13, 4914Riaño, F.E.; Cruz, J.F.; Montoya, O.D.; Chamorro, H.R.; Alvarado-Barrios, L. Reduction of Losses and Operating Costs in Distribution Networks Using a Genetic Algorithm and Mathematical Optimization. Electronics 2021, 10, 419.Montoya, O.D.; Gil-González, W.; Hernández, J.C. Efficient Operative Cost Reduction in Distribution Grids Considering the Optimal Placement and Sizing of D-STATCOMs Using a Discrete-Continuous VSA. Appl. Sci. 2021, 11, 2175Taher, S.A.; Karimi, M.H. Optimal reconfiguration and DG allocation in balanced and unbalanced distribution systems. Ain Shams Eng. J. 2014, 5, 735–749Priyadarshini, R.; Prakash, R.; Shankaralingappa, C.B. Network Reconfiguration of radial distribution network using Cuckoo Search Algorithm. In Proceedings of the 2015 Annual IEEE India Conference (INDICON), New Delhi, India, 17–20 December 2015Lagace, P.J.; Vuong, M.H.; Kamwa, I. Improving power flow convergence by Newton Raphson with a Levenberg-Marquardt method. In Proceedings of the 2008 IEEE Power and Energy Society General Meeting—Conversion and Delivery of Electrical Energy in the 21st Century, Pittsburgh, PA, USA, 20–24 July 2008; pp. 1–6Milano, F. Analogy and Convergence of Levenberg’s and Lyapunov-Based Methods for Power Flow Analysis. IEEE Trans. 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