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Article

The Equivalence between Successive Approximations and Matricial Load Flow Formulations

1
Estudiante de Ingeniería Eléctrica, Universidad Distrital Francisco José de Caldas, Bogotá 11021, Colombia
2
Facultad de Ingeniería, Universidad Distrital Francisco José de Caldas, Bogotá 11021, Colombia
3
Laboratorio Inteligente de Energía, Universidad Tecnológica de Bolívar, Cartagena 131001, Colombia
4
Department of Engineering, Universidad Loyola Andalucía, 41704 Sevilla, Spain
5
Department of Electrical Engineering at KTH, Royal Institute of Technology, SE-44 100 Stockholm, Sweden
*
Author to whom correspondence should be addressed.
Academic Editor: Pierluigi Siano
Appl. Sci. 2021, 11(7), 2905; https://doi.org/10.3390/app11072905
Received: 24 February 2021 / Revised: 17 March 2021 / Accepted: 22 March 2021 / Published: 24 March 2021
(This article belongs to the Special Issue Smart Energy Systems and Technologies)
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 1×1010. View Full-Text
Keywords: successive approximations method; matricial backward/forward method; load flow analysis; electrical distribution networks; equivalent formulations successive approximations method; matricial backward/forward method; load flow analysis; electrical distribution networks; equivalent formulations
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MDPI and ACS Style

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

AMA Style

Herrera-Briñez MC, Montoya OD, Alvarado-Barrios L, Chamorro HR. The Equivalence between Successive Approximations and Matricial Load Flow Formulations. Applied Sciences. 2021; 11(7):2905. https://doi.org/10.3390/app11072905

Chicago/Turabian Style

Herrera-Briñez, María C., Oscar D. Montoya, Lazaro Alvarado-Barrios, and Harold R. Chamorro. 2021. "The Equivalence between Successive Approximations and Matricial Load Flow Formulations" Applied Sciences 11, no. 7: 2905. https://doi.org/10.3390/app11072905

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