Journal article
A Sufficient Condition on Convex Relaxation of AC Optimal Power Flow in Distribution Networks
This paper proposes a sufficient condition for the convex relaxation of AC Optimal Power Flow (OPF) in radial distribution networks as a second order cone program (SOCP) to be exact. The condition requires that the allowed reverse power flow is only reactive or active, or none. Under the proposed sufficient condition, the feasible sub-injection region (power injections of nodes excluding the root node) of the AC OPF is convex.
The exactness of the convex relaxation under the proposed condition is proved through constructing a group of monotonic series with limits, which ensures that the optimal solution of the SOCP can be converted to an optimal solution of the original AC OPF. The efficacy of the convex relaxation to solve the AC OPF is demonstrated by case studies of an optimal multi-period planning problem of electric vehicles (EVs) in distribution networks.
Language: | English |
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Publisher: | IEEE |
Year: | 2016 |
Pages: | 1359-1368 |
ISSN: | 15580679 and 08858950 |
Types: | Journal article |
DOI: | 10.1109/TPWRS.2016.2574805 |
ORCIDs: | Huang, Shaojun , Wu, Qiuwei and Zhao, Haoran |
AC optimal power flow (AC OPF) Convex relaxation, convexity Electric vehicle (EV) Power distribution network Second order cone program (SOCP)
AC optimal power flow Economics Electric vehicles Linear approximation Load flow OPF Planning SOCP Sufficient conditions convex relaxation convexity distribution networks electric vehicle (EV) electric vehicles load flow multiperiod planning problem power distribution network radial distribution networks reverse power flow second order cone program second order cone program (SOCP) sufficient condition