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Data-driven transient stability analysis using the Koopman operator
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DOI：10.1016/j.ijepes.2024.110307.png)
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摘要
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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.
Keyword:
Power systems
Transient stability
Koopman operator
Reproducing kernel Hilbert space
期刊
I
IF:
5
论文数:
1.1W
被引数:
3.1W
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引用论文
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Propagating Parameter Uncertainty in Power System Nonlinear Dynamic Simulations Using a Koopman Operator-Based Surrogate Model使用基于Koopman算子的代理模型在电力系统非线性动态仿真中传播参数不确定性
OAAI
OAAI分享收藏Nonlinear Koopman Modes and Power System Stability Assessment Without Models非线性Koopman模式和无模型的电力系统稳定性评估OAAI
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