A sufficient saddle point characterization for the Lagrangian associated with general OPF problems

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Abstract

In this paper, we consider the non-convex optimal power flow (OPF) problems. We are interested in solving these non-convex problems by applying the distributed primal-dual gradient dynamics. We derive a sufficient positive semidefinite condition to characterize the relationship between KKT points and saddle points for the Lagrangian associated with the OPF problem. Two illustrative examples are provided to demonstrate the effectiveness and limitations of this characterization.

Original languageEnglish (US)
Article number7039531
Pages (from-to)1119-1124
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume2015-February
Issue numberFebruary
DOIs
StatePublished - Jan 1 2014
Externally publishedYes
Event2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States
Duration: Dec 15 2014Dec 17 2014

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