Promising framework based on multistep continuous Newton scheme for developing robust PF methods

Solving power‐flow (PF) problem of ill‐conditioned systems is still a challenge in realistic power systems due to most of available techniques are quite inefficient. This study aims to address this issue by introducing a novel PF solution paradigm. It basically reformulates the traditional continuous Newton's method in a multistep scheme, so that, the variables are progressively refined each step using different numerical arrangements. The developed solution paradigm envisages a novel family of PF techniques. For the sake of exemplify, two novel methods based on the introduced solution paradigm are developed. They are tested in several large‐scale realistic ill‐conditioned systems under different stressing and demanding conditions. Up to eight well known PF solution techniques are considered for comparison. Results shown that the introduced solution paradigm constitutes a promising framework for developing robust and efficient PF methods, which may be widespread used in industry applications.