Giraldo, Juan SMontoya, Oscar DaniloVergara, Pedro P.Milano, Federico2022-09-232022-09-232022-07-022022-09-23Giraldo, Juan & Montoya Giraldo, Oscar & Vergara, Pedro P. & Milano, Federico. (2022). A fixed-point current injection power flow for electric distribution systems using Laurent series. Electric Power Systems Research. 211. 108326. 10.1016/j.epsr.2022.108326.https://hdl.handle.net/20.500.12585/11117his 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 𝑅����∕𝑋���� 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.8 Páginasapplication/pdfenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/articlehttps://doi.org/10.1016/j.epsr.2022.108326Current injection power flowLaurent seriesFixed-point iterationThree-phase systemsinfo:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivatives 4.0 InternacionalUniversidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarLEMB