An efficient and reliable power flow solution method for large scale Ill-conditioned cases based on the Romberg’s integration scheme

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.