Application of high-order Levenberg-Marquardt method for solving the power flow problem in the ill-conditioned systems

被引：47

作者：

Pourbagher, Rohallah ^{[1
]}

Derakhshandeh, Sayed Yaser ^{[1
]}

机构：

[1] Shahrekord Univ, Dept Engn, Shahrekord, Iran

来源：

IET GENERATION TRANSMISSION & DISTRIBUTION | 2016年 / 10卷 / 12期

关键词：

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; 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; NONLINEAR EQUATIONS; ALGORITHM;

D O I：

10.1049/iet-gtd.2016.0064

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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 (sigma and ) 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.

引用

页码：3017 / 3022

页数：6

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