TY - JOUR
T1 - Semidefinite programming for optimal power flow problems
AU - Bai, Xiaoqing
AU - Wei, Hua
AU - Fujisawa, Katsuki
AU - Wang, Yong
N1 - Funding Information:
This work was supported in part by National Natural Science Foundation of China under Grant 50467001, Guangxi Science Foundation under Grant 0448025, Doctoral Fund of Ministry of Education of China under Grand 20060593002, and Guangxi Education Department under Grant GJK No. 200420.
PY - 2008/7
Y1 - 2008/7
N2 - 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.
AB - 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.
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U2 - 10.1016/j.ijepes.2007.12.003
DO - 10.1016/j.ijepes.2007.12.003
M3 - Article
AN - SCOPUS:44649096459
SN - 0142-0615
VL - 30
SP - 383
EP - 392
JO - International Journal of Electrical Power and Energy Systems
JF - International Journal of Electrical Power and Energy Systems
IS - 6-7
ER -