Distribution of blackouts in the power grid and the Motter and Lai model
Distribution of blackouts in the power grid and the Motter and Lai model
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DOI：
10.1103/physreve.103.032309
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发表时间：
2021-03-17
影响因子：
2.4
通讯作者：
Zussman, Gil
中科院分区：
文献类型：
--
作者：
Kornbluth, Yosef;Cwilich, Gabriel;Zussman, Gil
卡雷拉斯、多布森和同事研究了实际电网停电规模的经验数据，并使用直流近似通过计算机模拟对其进行建模。他们发现，由此产生的停电规模按照幂律分布，并表明这是因为电网被驱动到自组织临界状态。相比之下，最近的研究发现，级联的分布是双峰的，导致非常小的停电或非常大的停电，吞没系统的有限部分。在这里，我们协调这两种方法，并研究停电的分布如何随模型参数变化，包括容差标准和级联期间超载线路故障的动态规则。此外，我们对 Motter 和 Lai 模型研究了相同的问题，并发现了类似的结果，这表明网络上流量的物理定律并不像网络拓扑、过载条件和故障的动态规则那么重要。
Carreras, Dobson, and colleagues have studied empirical data on the sizes of the blackouts in real grids and modeled them with computer simulations using the direct current approximation. They have found that the resulting blackout sizes are distributed as a power law and suggested that this is because the grids are driven to the self-organized critical state. In contrast, more recent studies found that the distribution of cascades is bimodal resulting in either a very small blackout or a very large blackout, engulfing a finite fraction of the system. Here we reconcile the two approaches and investigate how the distribution of the blackouts changes with model parameters, including the tolerance criteria and the dynamic rules of failure of the overloaded lines during the cascade. In addition, we study the same problem for the Motter and Lai model and find similar results, suggesting that the physical laws of flow on the network are not as important as network topology, overload conditions, and dynamic rules of failure.