期刊
IEEE TRANSACTIONS ON POWER SYSTEMS
卷 32, 期 2, 页码 1359-1368出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPWRS.2016.2574805
关键词
AC optimal power flow (AC OPF); convex relaxation; convexity; electric vehicle (EV); power distribution network; second order cone program (SOCP)
资金
- EU Seventh Framework Programme (FP7) through the Ideal Grid for All (IDE4L) project
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 cond (s) over bar ition 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 in distribution networks.
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