Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/24907
Title: Available transfer capability calculation using a smoothing pointwise maximum function
Authors: Tong, X
Wu, FF
Qi, L 
Keywords: Available transfer capability (ATC)
Convergence
Decoupled method
Equations
Load flow
Mathematical model
Pointwise maximum function (PMF)
Power systems
Security
Security region
Smoothing methods
Smoothing newton method
Smoothing Newton method
Issue Date: 2008
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on circuits and systems. I, Regular papers, 2008, v. 55, no. 1, p. 462-474 How to cite?
Journal: IEEE transactions on circuits and systems. I, Regular papers 
Abstract: The determination of the available transfer capability (ATC) is formulated as a problem of finding the solution of a system of equations using the pointwise maximum function, which collapses all operating constraints of the system into one equation. The resulting equations are semismooth. The semismooth equations are solved by the use of a smoothing function. Two solution algorithms are presented. One is a smoothing Newton method in which the smoothing parameter is treated as an independent variable. Another one is a smoothing decoupled Newton method, which incorporates the inherent weak-coupling characteristics of power systems into the algorithm and is suitable for solving large scale problems. The convergence of the two algorithms is studied in detail. A numerical example is presented to illustrate the effectiveness of the proposed methods.
URI: http://hdl.handle.net/10397/24907
ISSN: 1549-8328
EISSN: 1558-0806
DOI: 10.1109/TCSI.2007.910542
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