Mann-Iteration Process for Power Flow Calculation of Large-Scale Ill-Conditioned Systems: Theoretical Analysis and Numerical Results

IEEE Access

Salah Kamel¹  Abdulaziz Alkuhayli²  Francisco Jurado³  Marcos Tostado-Veliz⁴  Rania A. Turky⁵  Hany M. Hasanien⁶ 

[1] Department of Electrical Engineering, College of Engineering, King Saud University, Riyadh, Saudi Arabia;Department of Electrical Engineering, Faculty of Engineering and Technology, Future University in Egypt, Cairo, Egypt;Department of Electrical Engineering, Faculty of Engineering, Aswan University, Aswan, Egypt;Department of Electrical Engineering, Superior Polytechnic School of Linares, University of Ja&x00E9;Department of Electrical Power and Machines, Faculty of Engineering, Ain Shams University, Cairo, Egypt;n, Linares, Spain;

关键词: Power-flow analysis;    ill-conditioned systems;    large-scale systems;    Mann Iteration Process;   

DOI  :  10.1109/ACCESS.2021.3114969

来源: DOAJ

【 摘 要 】

Power Flow solution of realistic ill-conditioned systems has recently attracted huge attention. Nevertheless, there are still some gaps in this field. For example, most of available references do not provide exhaustive theoretical analysis about convergence properties of proposed approaches. In addition, efficient solution of large-scale ill-conditioned systems is still an open topic. This paper tackles these issues by comprehensively studying the suitability of the Mann Iteration Process for the solution of ill-conditioned systems. A comprehensive theoretical analysis is provided, from which is demonstrated that the Mann Iteration Process has with asymptotic stability, may achieve a high convergence rate and constitutes a robust methodology, improving the contractive properties of the Newton-Raphson method. Moreover, some interesting links with other Power-Flow approaches are obtained as by-product. Several numerical experiments serve to confirm the theoretical findings and to compare the performance of the Mann Iteration Process with other well-known PF solvers. In all cases, the results obtained with the Mann Iteration Process are superior to that obtained using other methodologies, being able to efficiently solve various large-scale ill-conditioned systems.

【 授权许可】

Unknown