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The equivalence between successive approximations and matricial load flow formulations

Authors

Herrera-Briñez M.C. , Montoya O.D. , ALVARADO BARRIOS, LÁZARO, Chamorro H.R.

External publication

No

Means

Appl. Sci.-Basel

Scope

Article

Nature

Científica

JCR Quartile

SJR Quartile

JCR Impact

2.838

SJR Impact

0.507

Publication date

01/01/2021

ISI

000638345800001

Scopus Id

2-s2.0-85103840699

Abstract

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 . © 2021 by the authors. Licensee MDPI, Basel, Switzerland.

Keywords

Electrical distribution networks; Equivalent formulations; Load flow analysis; Matricial backward/forward method; Successive approximations method

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