On convexity of power flow feasibility boundary

Makarov, Y.V., Dong, Z.Y. and Hill, D.J. (2008) On convexity of power flow feasibility boundary. IEEE Transactions on Power Systems, 23 2: 811-813. doi:10.1109/TPWRS.2008.919307

Author Makarov, Y.V.
Dong, Z.Y.
Hill, D.J.
Title On convexity of power flow feasibility boundary
Journal name IEEE Transactions on Power Systems   Check publisher's open access policy
ISSN 0885-8950
Publication date 2008-05-02
Sub-type Article (original research)
DOI 10.1109/TPWRS.2008.919307
Open Access Status
Volume 23
Issue 2
Start page 811
End page 813
Total pages 3
Editor Vittal, V.
Place of publication USA
Publisher IEEE
Language eng
Subject C1
090607 Power and Energy Systems Engineering (excl. Renewable Power)
850604 Energy Transmission and Distribution (excl. Hydrogen)
Abstract Power flow feasibility boundaries are constraints limiting the operating transmission capability and the available stability (security) margin of the system. The convexity properties of this boundary are important to the analytical description of its shape (including the needs of approximation) and for the calculation of security margins. These analyses are significantly simplified if the boundary is convex. The conjecture that the boundary is convex in the space of system parameters has been used over a long time. However, some alarming experimental counterexamples already exist which show that this boundary is not always convex. In this letter, an analytical approach is presented to analyze the convexity properties of the power flow feasibility boundary. In particular, the approach helps to identify nonconvex parts of the boundary. Numerical case studies illustrate the effectiveness of the approach.
Keyword Convexity
Power flow feasibility boundary
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2009 Higher Education Research Data Collection
School of Information Technology and Electrical Engineering Publications
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Citation counts: TR Web of Science Citation Count  Cited 21 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 31 times in Scopus Article | Citations
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Created: Sun, 05 Apr 2009, 18:17:05 EST by Donna Clark on behalf of School of Information Technol and Elec Engineering