Several robust and efficient load flow techniques based on combined approach for ill-conditioned power systems

Abstract

This paper addresses the load flow (LF) problem of medium, large and very large-scale ill-conditioned power systems using several proposed techniques based on a combined approach. The proposed approach uses a novel combination among homotopic functions, numerical methods and the Newton’s technique for efficiently solving ill-conditioned systems. Using the proposed approach, any numerical method can be adapted to develop efficient and robust LF techniques. In this work, two novel LF techniques based on this combined approach using Forward-Euler formula and Ralston method are proposed. The proposed techniques are tested on several medium and large-scale ill-conditioned systems, comparing their performance with other well-known LF methods. Results show that the proposed LF techniques are robust and efficient enough to address the issues related with medium and large-scale ill-conditioned systems and they are not significantly affected by the initial guess considered.