On Various High-Order Newton-Like Power Flow Methods for Well and Ill-Conditioned Cases

Mathematics

Talal Alharbi¹  Omar Alrumayh²  Marcos Tostado-Véliz³  Francisco Jurado³ 

[1] Department of Electrical Engineering, College of Engineering, Qassim University, Buraydah 52571, Saudi Arabia;Department of Electrical Engineering, College of Engineering, Qassim University, Unaizah 56452, Saudi Arabia;Department of Electrical Engineering, University of Jaén, 23700 Linares, Spain;

关键词: power flow analysis;    high-order Newton-like methods;    4th order Jarrat’s method;    Continuous Newton’s method;   

DOI  :  10.3390/math9172019

来源: DOAJ

【 摘 要 】

Recently, the high-order Newton-like methods have gained popularity for solving power flow problems due to their simplicity, versatility and, in some cases, efficiency. In this context, recent research studied the applicability of the 4th order Jarrat’s method as applied to power flow calculation (PFC). Despite the 4th order of convergence of this technique, it is not competitive with the conventional solvers due to its very high computational cost. This paper addresses this issue by proposing two efficient modifications of the 4th order Jarrat’s method, which present the fourth and sixth order of convergence. In addition, continuous versions of the new proposals and the 4th order Jarrat’s method extend their applicability to ill-conditioned cases. Extensive results in multiple realistic power networks serve to sow the performance of the developed solvers. Results obtained in both well and ill-conditioned cases are promising.

【 授权许可】

Unknown