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
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;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7039531
