Tostado-Véliz, MarcosKamel, SalahJurado-Melguizo, Francisco2024-06-122024-06-122021-03M. Tostado-Véliz, S. Kamel and F. Jurado, "Two Efficient and Reliable Power-Flow Methods With Seventh Order of Convergence," in IEEE Systems Journal, vol. 15, no. 1, pp. 1026-1035, March 2021, doi: 10.1109/JSYST.2020.3004667.1932-818410.1109/JSYST.2020.3004667https://ieeexplore.ieee.org/document/9133438https://hdl.handle.net/10953/2901Developing efficient power-flow (PF) solution techniques competitive with the conventional Newton-Raphson (NR), will be necessary in the future power system paradigm. In this article, two seventh-order PF solution methods based on two classic cubic nonlinear solvers are developed. The developed methods are more efficient than the standard NR. Up to ten realistic distribution and transmission systems are considered for validating the developed methods. Three scenarios, including base load, maximum load level, and enforcement of generators' reactive limits, are considered. Results show that the developed PF solution methods enable computational savings higher than 20% and 30% with respect to standard NR and the cubic methods, respectively.engComputational efficiencyCubic nonlinear solversHigh-order methodsPower flow analysisRealistic power systemsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess