以下の論文が最近一部の分野(制御等)で少し話題になっているので、ここで紹介する。
Semidefinite programming for optimal power flow problems
Xiaoqing Bai*, Hua Wei, Katsuki Fujisawa, Yong Wang
Abstract
This paper presents a new solution using the semidefinite programming (SDP) technique to solve the optimal power flow problems
(OPF). The proposed method involves reformulating the OPF problems into a SDP model and developing an algorithm of interior point
method (IPM) for SDP. That is said, OPF in a nonlinear programming (NP) model, which is a nonconvex problem, has been accurately
transformed into a SDP model which is a convex problem. Based on SDP, the OPF problem can be solved by primal–dual interior point
algorithms which possess superlinear convergence. The proposed method has been tested with four kinds of objective functions of OPF.
Extensive numerical simulations on test systems with sizes ranging from 4 to 300 buses have shown that this method is promising for
OPF problems due to its robustness.
International Journal of Electrical Power & Energy Systems
Volume 30, Issues 6–7, July–September 2008, Pages 383–392