AC-Feasibility on Tree Networks is NP-Hard

AC-Feasibility on Tree Networks is NP-Hard
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树形网络上的 AC 可行性是 NP 难的

DOI:
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发表时间:
2014
影响因子:
6.6
通讯作者:
Pascal Van Hentenryck
Pascal Van Hentenryck
中科院分区:
工程技术1区
文献类型:
--
作者:
Karsten Lehmann;Alban Grastien;Pascal Van Hentenryck

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近年来,人们对潮流的凸松弛产生了极大的兴趣,有几篇论文表明,在各种负载或电压条件下,树网络的二阶锥松弛是紧的。本文表明,交流的可行性,即,对于树型网络,寻找某个发电机的调度是否满足给定的需求是NP难的。
Recent years have witnessed significant interest in convex relaxations of the power flows, with several papers showing that the second-order cone relaxation is tight for tree networks under various conditions on loads or voltages. This paper shows that ac-feasibility, i.e., to find whether some generator dispatch can satisfy a given demand, is NP-hard for tree networks.