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Convergence Region of Newton Iterative Power Flow Method : Numerical Studies
Joint Authors
Deng, Jiao-Jiao
Chiang, Hsiao-Dong
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Power flow study plays a fundamental role in the process of power system operation and planning.
Of the several methods in commercial power flow package, the Newton-Raphson (NR) method is the most popular one.
In this paper, we numerically study the convergence region of each power flow solution under the NR method.
This study of convergence region provides insights of the complexity of the NR method in finding power flow solutions.
Our numerical studies confirm that the convergence region of NR method has a fractal boundary and find that this fractal boundary of convergence regions persists under different loading conditions.
In addition, the convergence regions of NR method for power flow equations with different nonlinear load models are also fractal.
This fractal property highlights the importance of choosing initial guesses since a small variation of an initial guess near the convergence boundary leads to two different power flow solutions.
One vital variation of Newton method popular in power industry is the fast decoupled power flow method whose convergence region is also numerically studied on an IEEE 14-bus test system which is of 22-dimensional in state space.
American Psychological Association (APA)
Deng, Jiao-Jiao& Chiang, Hsiao-Dong. 2013. Convergence Region of Newton Iterative Power Flow Method : Numerical Studies. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-477324
Modern Language Association (MLA)
Deng, Jiao-Jiao& Chiang, Hsiao-Dong. Convergence Region of Newton Iterative Power Flow Method : Numerical Studies. Journal of Applied Mathematics No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-477324
American Medical Association (AMA)
Deng, Jiao-Jiao& Chiang, Hsiao-Dong. Convergence Region of Newton Iterative Power Flow Method : Numerical Studies. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-477324
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477324