Volume 5 Number 3 (Jun. 2013)
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IJCEE 2013 Vol.5(3): 288-290 ISSN: 1793-8163
DOI: 10.7763/IJCEE.2013.V5.714

The Analysis of the Convergence of Newton-Raphson Method Based on the Current Injection in Distribution Network Case

Tan Tingting, Li Yang, Li Ying, and Jiang Tong
Abstract—This paper applies the Newton-Raphson method based on current injection into the case of distribution network. Firstly, the correction equations of these two methods have been derived and compared. The Jacobian matrix of the traditional Newton-Raphson must be recalculated in each iteration, while the Newton-Raphson method based on current injection only need recalculate the diagonal elements of its Jacobian matrix which mainly consists of admittance matrix’s elements. It reduces the computation and makes the programming easier as well. Based on these, their convergence properties have been derived. Both of them have the quadratic convergence, the only difference is the coefficients. IEEE11 system has been used to test this method, and compared with the traditional Newton-Raphson method. The results show the Newton-Raphson (N-R)method based on current injection reliable and effectively.

Index Terms—Current injection, newton-raphson, distribution network.

The authors are with State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing, China.(e-mail: 554093671@qq.com).

 

Cite:Tan Tingting, Li Yang, Li Ying, and Jiang Tong, "The Analysis of the Convergence of Newton-Raphson Method Based on the Current Injection in Distribution Network Case," International Journal of Computer and Electrical Engineering vol. 5, no. 3, pp. 288-290, 2013.

General Information

ISSN: 1793-8163
Frequency: Semiyearly
Editor-in-Chief: Prof. Yucong Duan
Abstracting/ Indexing: EI (INSPEC, IET), Ulrich's Periodicals Directory, Google Scholar, EBSCO, Engineering & Technology Digital Library, ProQuest, and Electronic Journals Library
E-mail: ijcee@iap.org

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