Analyzing and Quantifying the Effect of $k$ -Line Failures in Power Grids
Analyzing and Quantifying the Effect of $k$ -Line Failures in Power Grids
复制标题
分析和量化 $k$ 线路故障对电网的影响
DOI：
--
复制
发表时间：
2018
影响因子：
4.2
通讯作者：
G. Zussman
中科院分区：
文献类型：
--
作者：
Saleh Soltan;Alexander Loh;G. Zussman
电网应急分析是提高电网故障恢复能力的最有效方法之一。应急分析的主要目标是检测电网中可能导致关键状态的故障，并部署预防措施以避免这种状态。然而，由于存在大量的可能性，高阶偶发分析的计算成本很高，并且没有得到充分部署。为了规避这个问题，我们使用直流潮流模型并基于该模型，分析计算 <inline-formula> <tex-math notation="LaTeX">$k$</tex-math></inline-formula> 线路故障（即 <inline-formula> <tex-math notation="LaTeX">$k$</tex-math></inline-formula> 不同线路中的故障）后潮流的重新分配引入 <inline-formula><tex-math notation="LaTeX">$k$</tex-math> </inline-formula> 行故障的<italic>干扰值</italic>。我们表明，对于任何一组线路故障，无论网格大小如何，都可以在 <inline-formula> <tex-math notation="LaTeX">$O(1)$</tex-math></inline-formula> 中有效地计算该值，并且可以有效地用于过滤掉非关键意外事件。因此，扰动值可以通过揭示对更深入分析至关重要的突发事件来显着降低突发事件分析的时间复杂度，并为电网中高阶突发事件分析的部署铺平道路。
Contingency analysis in power grids is one of the most effective ways to improve grids’ resilience against failures. The main goal of contingency analysis is to detect probable failures in the grid that result in a critical state and deploy preventive measures to avoid such a state. Due to the large number of possibilities, however, high-order contingency analysis is computationally expensive and not fully deployed. In order to circumvent this issue, we analytically compute the redistribution of power flows following a <inline-formula> <tex-math notation="LaTeX">$k$</tex-math></inline-formula>-line failure (i.e., failures in <inline-formula> <tex-math notation="LaTeX">$k$</tex-math></inline-formula> distinct lines) using the dc power flow model and based on that introduce the <italic>disturbance value</italic> of a <inline-formula><tex-math notation="LaTeX">$k$</tex-math> </inline-formula>-line failure. We show that this value can be efficiently computed in <inline-formula> <tex-math notation="LaTeX">$O(1)$</tex-math></inline-formula> for any set of line failures independent of the size of the grid and can be effectively used to filter out noncritical contingencies. The disturbance value can, therefore, significantly reduce the time complexity of contingency analysis by revealing contingencies that are vital for more in depth analysis and pave the way for the deployment of high-order contingency analysis in power grids.