A fixed-point current injection power flow for electric distribution systems using Laurent series

his paper proposes a new power flow (PF) formulation for electrical distribution systems using the current injection method and applying the Laurent series expansion. Two solution algorithms are proposed: a Newtonlike iterative procedure and a fixed-point iteration based on the successive approximation method (SAM). The convergence analysis of the SAM is proven via the Banach fixed-point theorem, ensuring numerical stability, the uniqueness of the solution, and independence on the initializing point. Numerical results are obtained for both proposed algorithms and compared to well-known PF formulations considering their rate of convergence, computational time, and numerical stability. Tests are performed for different branch ����∕���� ratios, loading conditions, and initialization points in balanced and unbalanced networks with radial and weakly-meshed topologies. Results show that the SAM is computationally more efficient than the compared PFs, being more than ten times faster than the backward–forward sweep algorithm.

• Autores: Giraldo, Juan S; Montoya, Oscar Danilo; Vergara, Pedro P.; Milano, Federico
• Fecha de publicación: 2022
• Institución: Universidad Tecnológica de Bolívar
• Repositorio: Repositorio Institucional UTB
• Idioma: eng
• OAI Identifier: oai:repositorio.utb.edu.co:20.500.12585/11117
• Acceso en línea: https://hdl.handle.net/20.500.12585/11117; https://doi.org/10.1016/j.epsr.2022.108326
• Palabra clave: Current injection power flow; Laurent series; Fixed-point iteration; Three-phase systems; LEMB
• Rights: openAccess
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/