Open AccessRobust and efficient approach based on Richardson extrapolation for solving badly initialised/ill‐conditioned power‐flow problems
Author(s) -
TostadoVéliz Marcos,
Kamel Salah,
Jurado Francisco
Publication year - 2019
Publication title -
iet generation, transmission and distribution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.92
H-Index - 110
eISSN - 1751-8695
pISSN - 1751-8687
DOI - 10.1049/iet-gtd.2018.6786
Subject(s) - extrapolation , convergence (economics) , electric power system , computation , computer science , mathematical optimization , power (physics) , mathematics , algorithm , statistics , physics , quantum mechanics , economics , economic growth
In this study, the authors focus on solving the power‐flow (PF) problems of badly initialised/ill‐conditioned power systems, where the solution of these systems is a challenge for most of state‐of‐the‐art PF techniques. This challenge is increased in case of large and very large‐scale power systems which have a huge number of variables. Consequently, the PF techniques used should have a high degree of efficiency in order to handle the large vectors and matrix computations. In this study, a novel PF approach based on the Richardson extrapolation is proposed to solve these systems. The proposed approach is validated using various badly initialised/ill‐conditioned systems, comparing its performance with several well known PF techniques. The obtained results prove that the proposed approach is robust and efficient enough to properly manage the badly initialised/ill‐conditioned systems even if they consist of a huge number of buses, whereas the other PF techniques face different convergence difficulties.