DocumentCode
114532
Title
A sufficient saddle point characterization for the Lagrangian associated with general OPF problems
Author
Xu Ma ; Elia, Nicola
Author_Institution
Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA, USA
fYear
2014
fDate
15-17 Dec. 2014
Firstpage
1119
Lastpage
1124
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.
Keywords
concave programming; gradient methods; load flow; KKT points; Lagrangian; distributed primal-dual gradient dynamics; general OPF problems; nonconvex optimal power flow problems; positive semidefinite condition; saddle point characterization; Eigenvalues and eigenfunctions; Generators; Minimization; Optimization; Sparse matrices; Symmetric matrices; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location
Los Angeles, CA
Print_ISBN
978-1-4799-7746-8
Type
conf
DOI
10.1109/CDC.2014.7039531
Filename
7039531
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