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 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.

• Autores: Herrera, María Camila; Montoya, Oscar Danilo; Molina-Cabrera, Alexander; Grisales-Noreña, Luis Fernando; Giral-Ramírez, Diego Armando
• 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/