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Global optimization for the OPF problem via two‐degree SDP method
Author(s) -
Tian Junyang,
Wei Hua
Publication year - 2015
Publication title -
ieej transactions on electrical and electronic engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 30
eISSN - 1931-4981
pISSN - 1931-4973
DOI - 10.1002/tee.22068
Subject(s) - semidefinite programming , degree (music) , mathematical optimization , power flow , rank (graph theory) , computer science , mathematics , optimization problem , power (physics) , electric power system , physics , quantum mechanics , combinatorics , acoustics
This letter proposes a two‐degree semidefinite programming (SDP) method for achieving the global optimum of the optimal power flow (OPF) problem. The method extends the variables to four degrees, and formulates an SDP problem with a two‐degree extended matrix. It satisfies the rank‐1 condition. Experimental results show that this method is more reliable for reaching the OPF's global optimum than existing SDP methods. © 2014 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.