The Nk Problem in Power Grids : New Models , Formulations and Numerical Experiments 1

The Nk Problem in Power Grids : New Models , Formulations and Numerical Experiments 1
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电网中的 Nk 问题:新模型、公式和数值实验 1

DOI:
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发表时间:
2008
期刊:
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通讯作者:
A. Verma
A. Verma
中科院分区:
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文献类型:
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作者:
D. Bienstock;A. Verma

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给定一个由网络建模的电网,以及描述潮流、发电和消耗的方程,所谓的N - k问题是问是否存在k个或更少的弧线,这些弧线的移除将导致系统故障。k很小的情况是有实际意义的。我们给出了与该问题相关的混合整数线性模型和连续非线性模型的理论和数值结果。
Given a power grid modeled by a network together with equations describing power flows, power generation and consumption, the so-called N − k problem asks whether there exists a set of k or fewer arcs whose removal will cause the system to fail. The case where k is small is of practical interest. We present theoretical and numerical results involving a mixed-integer linear model and a continuous nonlinear model related to this problem.