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

Talal Alharbi, Marcos Tostado-Véliz, Omar Alrumayh and Francisco Jurado
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Talal Alharbi: Department of Electrical Engineering, College of Engineering, Qassim University, Buraydah 52571, Saudi Arabia
Marcos Tostado-Véliz: Department of Electrical Engineering, University of Jaén, 23700 Linares, Spain
Omar Alrumayh: Department of Electrical Engineering, College of Engineering, Qassim University, Unaizah 56452, Saudi Arabia
Francisco Jurado: Department of Electrical Engineering, University of Jaén, 23700 Linares, Spain

Mathematics, 2021, vol. 9, issue 17, 1-17

Abstract: 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.

Keywords: power flow analysis; high-order Newton-like methods; 4th order Jarrat’s method; Continuous Newton’s method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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