Tostado-Véliz, MarcosKamel, SalahJurado-Melguizo, Francisco2024-06-062024-06-062020-11M. Tostado-Véliz, S. Kamel and F. Jurado, "Power Flow Approach Based on the S-Iteration Process," in IEEE Transactions on Power Systems, vol. 35, no. 6, pp. 4148-4158, Nov. 2020, doi: 10.1109/TPWRS.2020.2989270.0885-895010.1109/TPWRS.2020.2989270https://ieeexplore.ieee.org/document/9072619https://hdl.handle.net/10953/2867In this paper, the application of the S-iteration process for solving the Power Flow (PF) problemis comprehensively studied. Thus, a combined approach between the S-iteration processand Newton's method (SIP-NR) is adapted for solving PF equations. Moreover, drawbacksshown by SIP-NRunder heavy loading conditions due to its linear convergence are addressed by developing a simple but reliable technique called Modified SIP-NR(MSIP-NR). MSIP-NR uses anon-repeatedly updating Jacobianscheme with the aim toaccelerate the convergence of SIP-NR. The introduced PF techniques are validated using well and ill-conditioned systemsunder several demand scenarios. The obtained results prove the robustness and efficiency of the introducedPF techniquescompared with other well-known methodologies. On the light of the results obtained, the introduced PF techniques may be used for different applications in power system analysis. Some of these potential applications are enumerated and discussed.engPF analysisS-iteration processNewton's methodWell and ill-conditioned power systemsHeavy loading conditionsReactive power limitsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess