Abstract This paper proposes a new power flow formulation for alternating-current distribution networks for radial and mesh topologies. This formulation corresponds to a successive approximation based on a modification of the conventional Gauss-Seidel numerical method by using a successive approximation approach. This power flow method allows working with complex variables by reducing the number of required calculations and avoiding the transformation of the power flow model into polar coordinates. Additionally, it does not use derivatives for approximating the problem as it occurs with Taylor-based approaches. Simulation results confirm that the proposed method is faster concerning computational time, as well as in the total number of iterations required. Numerical comparisons with classical methods such as Gauss-Seidel, Newton-Raphson, Levenberg-Marquardt, graph-based methods, and linear approximations have been made and implemented in MATLAB software to demonstrate the effectiveness of the proposed approach regarding power flow solutions in radial and mesh distribution networks.

中文翻译：

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基于逐次逼近的交流配电系统潮流问题的数值分析

摘要 本文为辐射状和网状拓扑的交流配电网络提出了一种新的潮流公式。该公式对应于通过使用逐次逼近方法对传统 Gauss-Seidel 数值方法进行修改的逐次逼近。这种潮流方法允许通过减少所需的计算数量并避免将潮流模型转换为极坐标来处理复杂变量。此外，它不使用导数来逼近问题，因为它出现在基于泰勒的方法中。仿真结果证实，所提出的方法在计算时间以及所需的总迭代次数方面更快。与经典方法（如 Gauss-Seidel、Newton-Raphson、