论文标题

电网中无标度停电大小的出现

Emergence of scale-free blackout sizes in power grids

论文作者

Nesti, Tommaso, Sloothaak, Fiona, Zwart, Bert

论文摘要

我们将功率电网建模为具有重尾水槽的图形,代表了城市的需求,并在此类图上研究了级联故障。我们的分析将停电大小的无规模与城市规模的无规模联系起来,与先前的研究相比,这表明这种性质受自组织的批判性约束。我们的结果基于一个新的数学框架,该框架将功率流的物理和罕见的事件分析结合在一起,用于重尾分布,并使用各种合成网络和德国传输网格进行了验证。

We model power grids as graphs with heavy-tailed sinks, which represent demand from cities, and study cascading failures on such graphs. Our analysis links the scale-free nature of blackout sizes to the scale-free nature of city sizes, contrasting previous studies suggesting that this nature is governed by self-organized criticality. Our results are based on a new mathematical framework combining the physics of power flow with rare event analysis for heavy-tailed distributions, and are validated using various synthetic networks and the German transmission grid.

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