Application of high‐order Levenberg–Marquardt method for solving the power flow problem in the ill‐conditioned systems. Issue 12 (1st September 2016)

• Record Type: Journal Article
• Authors: Pourbagher, Rohallah; Derakhshandeh, Sayed Yaser
• Is Part Of: IET generation, transmission & distribution. Volume 10:Issue 12(2016)
• Page Start: 3017
• Page End: 3022
• Publication Date: 2016-09-01
• Subjects: load flow -- power system reliability -- Jacobian matrices -- Newton method -- computational complexity -- least squares approximations; high‐order Levenberg‐Marquardt method -- power flow problem -- ill‐conditioned power system -- Jacobian matrix -- Newton method -- controlling parameters -- computation time reduction -- 11‐bus ill‐conditioned test system -- 57‐bus ill‐conditioned test system -- 118‐bus ill‐conditioned test system -- 2383‐bus ill‐conditioned test system -- iteration number reduction; Electric power production -- Periodicals; Electric power transmission -- Periodicals; Electric power distribution -- Periodicals; 621.3105
• DOI: 10.1049/iet-gtd.2016.0064
• Languages: English
• ISSNs: 1751-8687

Abstract

Abstract : In an ill‐conditioned power system, the Jacobian matrix is singular or near singular and solving the power flow equations by the traditional methods such as Newton method may lead to divergence. In this paper, we have applied a high‐order Levenberg–Marquardt approach for solving the power flow problems in the ill‐conditioned power systems. High reliability and high speed are the main characteristics of the proposed method. Using the controlling parameters of this method ( σ and μ ) can decrease the number of iterations and the computation time in solving the power flow problem of the ill‐conditioned power systems. The proposed formulations and algorithm are tested on the 11‐bus, 57‐bus, 118‐bus and 2383‐bus ill‐conditioned test systems. The simulation results show that the proposed method can significantly reduce the computation time and the number of iterations.