多相配电网阶梯电压调节器的最优潮流
Optimal Power Flow with Step-Voltage Regulators in Multi-Phase Distribution Networks
摘要：
本文提出了一种基于支路潮流的多相配电网最优潮流（OPF）问题，该问题允许Y形、闭合三角形和开放三角形步进电压调节器（SVRs）的抽头选择。假设SVR是理想的，并且它们的抽头由连续的决策变量表示。为了解决非线性问题，传统的OPF的分支流半定规划框架进行了扩展，以适应SVR边缘。解决了三种类型的非凸性：（a）非SVR边缘上的秩1约束，（b）SVR功率流和抽头上的非线性等式约束，以及（c）SVR电压和抽头上的三线性等式。利用对SVR次级电压的实际相位分离假设，为（c）和（a）的某些秩-1约束提供新颖的McCormick松弛，同时丢弃其余的。使用基于功率守恒的线性松弛来代替（b）。标准配电测试馈线的数值模拟证实了所提出的凸公式的优点。
英文摘要：
This paper develops a branch-flow based optimal power flow (OPF) problem for multi-phase distribution networks that allows for tap selection of wye, closed-delta, and open-delta step-voltage regulators (SVRs). SVRs are assumed ideal and their taps are represented by continuous decision variables. To tackle the non-linearity, the branch-flow semidefinite programming framework of traditional OPF is expanded to accommodate SVR edges. Three types of non-convexity are addressed: (a) rank-1 constraints on non-SVR edges, (b) nonlinear equality constraints on SVR power flows and taps, and (c) trilinear equalities on SVR voltages and taps. Leveraging a practical phase-separation assumption on the SVR secondary voltage, novel McCormick relaxations are provided for (c) and certain rank-1 constraints of (a), while dropping the rest. A linear relaxation based on conservation of power is used in place of (b). Numerical simulations on standard distribution test feeders corroborate the merits of the proposed convex formulation.
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