利用库普曼算子进行数据驱动的瞬态稳定性分析

IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC International Journal of Electrical Power & Energy Systems Pub Date : 2024-10-23 DOI:10.1016/j.ijepes.2024.110307
Amar Ramapuram Matavalam , Boya Hou , Hyungjin Choi , Subhonmesh Bose , Umesh Vaidya
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引用次数: 0

摘要

我们提出了利用 Koopman 算子的单位特征函数进行电力系统暂态稳定性分析的数据驱动方法。我们证明,具有单位特征值的 Koopman 特征函数可以确定故障后稳定平衡的吸引区域。然后,我们利用这一特性来估计故障的临界清除时间。我们提供了两种数据驱动的方法来估算上述特征函数;第一种方法利用了长轨迹的时间平均值,第二种方法则利用了在重现核希尔伯特空间上对系统动态的非参数学习,以及短时间的状态传播。我们的方法不需要明确的电力系统模型知识,但需要能通过电力系统动态传播状态的模拟器。三个电力系统实例的数值实验证明了我们方法的有效性。
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Data-driven transient stability analysis using the Koopman operator
We present data-driven methods for power system transient stability analysis using a unit eigenfunction of the Koopman operator. We show that the Koopman eigenfunction with unit eigenvalue can identify the region of attraction of the post-fault stable equilibrium. We then leverage this property to estimate the critical clearing time of a fault. We provide two data-driven methods to estimate said eigenfunction; the first method utilizes time averages over long trajectories, and the second method leverages nonparametric learning of system dynamics over reproducing kernel Hilbert spaces with short bursts of state propagation. Our methods do not require explicit knowledge of the power system model, but require a simulator that can propagate states through the power system dynamics. Numerical experiments on three power system examples demonstrate the efficacy of our method.
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来源期刊
International Journal of Electrical Power & Energy Systems
International Journal of Electrical Power & Energy Systems 工程技术-工程:电子与电气
CiteScore
12.10
自引率
17.30%
发文量
1022
审稿时长
51 days
期刊介绍: The journal covers theoretical developments in electrical power and energy systems and their applications. The coverage embraces: generation and network planning; reliability; long and short term operation; expert systems; neural networks; object oriented systems; system control centres; database and information systems; stock and parameter estimation; system security and adequacy; network theory, modelling and computation; small and large system dynamics; dynamic model identification; on-line control including load and switching control; protection; distribution systems; energy economics; impact of non-conventional systems; and man-machine interfaces. As well as original research papers, the journal publishes short contributions, book reviews and conference reports. All papers are peer-reviewed by at least two referees.
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