Zero Duality Gap in Optimal Power Flow Problem

  title={Zero Duality Gap in Optimal Power Flow Problem},
  author={Javad Lavaei and Steven H. Low},
  journal={IEEE Transactions on Power Systems},
The optimal power flow (OPF) problem is nonconvex and generally hard to solve. In this paper, we propose a semidefinite programming (SDP) optimization, which is the dual of an equivalent form of the OPF problem. A global optimum solution to the OPF problem can be retrieved from a solution of this convex dual problem whenever the duality gap is zero. A necessary and sufficient condition is provided in this paper to guarantee the existence of no duality gap for the OPF problem. This condition is… CONTINUE READING
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