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Alexander Molina-Cabrera
Universidad Tecnológica de Pereira
Computer Science & IT Electrical & Electronics Engineering

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Convergence analysis of the triangular-based power flow method for AC distribution grids Maria Camila Herrera; Oscar Danilo Montoya; Alexander Molina-Cabrera; Luis Fernando Grisales-Noreña; Diego Armando Giral-Ramirez
International Journal of Electrical and Computer Engineering (IJECE) Vol 12, No 1: February 2022
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijece.v12i1.pp41-49

Abstract

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 iterative 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 distribution 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.
Co-Authors Diego Armando Giral-Ramirez Luis Fernando Grisales-Noreña Maria Camila Herrera Oscar Danilo Montoya