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 language||English (US)|
|Number of pages||6|
|Journal||Proceedings of the IEEE Conference on Decision and Control|
|State||Published - Jan 1 2014|
|Event||2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States|
Duration: Dec 15 2014 → Dec 17 2014