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arXiv 1602.02562physics.soc-phcond-mat.stat-mechnlin.AO
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电力网和其他空间嵌入式基础设施网络的随机增长模型

A Random Growth Model for Power Grids and Other Spatially Embedded Infrastructure Networks

Paul Schultz, Jobst Heitzig, Jürgen Kurths

摘要:

我们提出了一个模型来创建合成网络,也可以作为某种基础设施网络演变的叙述。它包括一个初始化阶段的网络扩展树状的最小成本和一个增长阶段的附件规则之间的权衡成本优化和冗余。此外,我们实现了一些线被分裂的网格的演变过程中的功能。我们表明,由此产生的度分布有一个指数尾,可能会显示在度2,适合现实世界的电网网络的观察最大。特别地,可以部分独立地控制指数衰减的平均度和斜率。为了验证我们的分析形式在多大程度上描述了度分布,我们进行了统计检验,表明指数尾的假设对于我们的模型数据是可以接受的。

英文摘要:

We propose a model to create synthetic networks that may also serve as a narrative of a certain kind of infrastructure network evolution. It consists of an initialization phase with the network extending tree-like for minimum cost and a growth phase with an attachment rule giving a trade-off between cost-optimization and redundancy. Furthermore, we implement the feature of some lines being split during the grid's evolution. We show that the resulting degree distribution has an exponential tail and may show a maximum at degree two, suitable to observations of real-world power grid networks. In particular, the mean degree and the slope of the exponential decay can be controlled in partial independence. To verify to which extent the degree distribution is described by our analytic form, we conduct statistical tests, showing that the hypothesis of an exponential tail is well-accepted for our model data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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