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带惯性的耦合振子中安全 basin 的能垒表征

Energy-barrier characterization of secured basins in coupled oscillators with inertia

Jaiyong Lee, Daekyung Lee, Seung-Woo Son, Sang Hoon Lee, Mi Jin Lee, Heetae Kim

arXiv 2610.11147首次发表:更新:

发表机构

Korea Institute of Energy Technology; Supply Chain Intelligence Institute Austria; Hanyang University; Gyeongsang National University; Pusan National University(韩国能源技术研究院; 奥地利供应链智能研究所; 汉阳大学; 庆尚国立大学; 釜山国立大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究针对带惯性的耦合振子,提出安全 basin 的能垒表征方法,揭示了仅靠最终同步状态评估稳定性的不足,为区分电网暂态稳定性的节点级影响提供了实用框架。

AI 中文摘要

二阶 Kuramoto 模型可捕捉与电网同步相关的转子动力学。在实际电网中,角度稳定极限被违反会触发模型未包含的保护动作,限制了该模型仅适用于保持在这些极限内的轨迹。因此,我们将安全 basin 定义为扰动空间中,其轨迹在整个暂态过程中始终保持在角度稳定极限内的扰动区域。随后,我们通过能垒对安全 basin 进行表征,量化其特征能量尺度及不同扰动方向上的异质性。在七个电网模型中,该表征揭示了仅通过最终同步状态评估稳定性时会被忽略的角度稳定脆弱性。研究还表明,表征安全 basin 的两种能垒度量与结构连通性和动力学参数存在不同关联。该表征还具有实际优势,因为从状态空间扰动导出的能量阈值在区分短期电力扰动下的安全与不安全结果时仍然有效,且可通过在安全 basin 边界附近集中模拟来高效估计。总体而言,安全 basin 框架为区分带同步约束的振子网络中节点级结构和动力学对暂态稳定性的影响提供了有用基础。

英文摘要

The second-order Kuramoto model captures rotor dynamics relevant to synchronization in power grids. In actual power grids, violation of angle-stability limits can trigger protective actions that are not included in the model, restricting its validity to trajectories that remain within these limits. We therefore define the secured basin as the region of disturbance space comprising disturbances whose trajectories remain within the angle-stability limits throughout the transient. We then characterize the secured basin through energy barriers, quantifying their characteristic energy scale and heterogeneity across perturbation directions. Across seven power-grid models, this characterization revealed angle-stability vulnerabilities overlooked when stability is assessed solely by the final synchronization state. It also showed that the two energy-barrier measures characterizing the secured basin exhibit distinct associations with structural connectivity and dynamical parameters. This characterization further offers practical advantages, as energy thresholds derived from state-space perturbations remain effective in distinguishing secured and unsecured outcomes under short-duration power disturbances and can be estimated efficiently by concentrating simulations near the secured-basin boundary. Overall, the secured-basin framework provides a useful basis for distinguishing node-level structural and dynamical influences on transient stability in oscillator networks with synchronization constraints.

Comments22 pages, 7 figures

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