Abstract Recently, the Power Flow solution in large scale ill-conditioned systems has attracted huge attention. Despite the considerable efforts conducted in this line, this issue may be considered an open topic nowadays. Consequently, the paper aims at filling this gap by proposing a novel robust and efficient Power Flow solution technique inspired by the Romberg’s Integration Scheme. The resulting algorithm is numerically stable and has a computational burden comparable to the Newton’s technique. Several numerical results in different ill-conditioned systems from 3012-, to 13659-bus systems serve to show the performance of the developed method. Other available Power Flow solvers are considered for comparison. In all studied cases, results obtained with the developed method were promising, outperforming the other considered methodologies.

中文翻译：

---

基于Romberg积分方案的大规模病态案例高效可靠潮流求解方法

摘要 近年来，大规模病态系统的潮流解决方案引起了极大的关注。尽管在这方面进行了相当大的努力，但这个问题现在可能被认为是一个开放的话题。因此，本文旨在通过提出一种受 Romberg 集成方案启发的新型稳健高效的潮流解决方案技术来填补这一空白。由此产生的算法在数值上是稳定的，并且具有与牛顿技术相当的计算负担。从 3012 到 13659 总线系统的不同病态系统中的几个数值结果用于显示所开发方法的性能。考虑比较其他可用的潮流求解器。在所有研究案例中，使用开发的方法获得的结果很有希望，优于其他考虑的方法。