电网拓扑结构如何影响危险扰动的强度
How Network Topology Affects the Strength of Dangerous Power Grid Perturbations
AI总结：
针对现有电网稳定性量化指标无法反映扰动强度的问题，本文提出盆地稳定性边界和生存性边界两种新指标，研究拓扑结构对危险扰动强度的影响，发现新的高脆弱节点并建立拓扑与低稳定性节点的关联。
摘要：
较大的扰动可能将电网从稳定的同步状态推向不良状态。通过研究电网对此类扰动的稳定性来识别脆弱性，有助于防止未来的停电事故。盆地稳定性（衡量系统渐近稳定性）和生存性（衡量系统暂态稳定性）等概率稳定性量化指标，已被广泛用于量化电网节点的稳定性。然而，这些指标无法提供使系统失稳的扰动强度信息。为衡量使系统稳定性受损的临界扰动强度，我们采用两种基于概率距离的稳定性指标：盆地稳定性边界（针对系统渐近行为）和生存性边界（新定义的针对系统暂态行为的稳定性指标）。利用这些指标，我们详细研究了网络拓扑对危险电网扰动强度的影响，发现了一类此前未知的高脆弱性节点，并建立了树状网络结构、节点连通性与低稳定性节点之间的关联。
英文摘要：
Reasonably large perturbations may push a power grid from its stable synchronous state into an undesirable state. Identifying vulnerabilities in power grids by studying power grid stability against such perturbations can aid in preventing future blackouts. Probabilistic stability quantifiers such as basin stability, which measures the asymptotic stability of a system, and survivability, which measures the transient stability of a system, have been commonly used to quantify the stability of nodes in a power grid. However, these quantifiers do not provide information about the strength of perturbations that destabilize the system. To measure the strength of perturbations beyond which the stability of the system gets compromised, we employ two probabilistic distance-based stability measures -- basin stability bound, which deals with a system's asymptotic behaviour, and survivability bound, a newly defined stability measure that deals with a system's transient behaviour. Using these stability quantifiers, we conduct a detailed study on the impact of network topology on the strength of dangerous power grid perturbations. In this, we uncover a new class of highly vulnerable nodes that were previously unknown. Additionally, we establish connections with tree-like network structures and node connectivity to lowly stable nodes.
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。
