Data-driven Estimation for a Region of Attraction for Transient Stability Using the Koopman Operator

Le Zheng; Xin Liu; Yanhui Xu; Wei Hu; Chongru Liu

doi:10.17775/CSEEJPES.2021.09360

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Data-driven Estimation for a Region of Attraction for Transient Stability Using the Koopman Operator

Regular Papers | 更新时间：2026-10-15

- Data-driven Estimation for a Region of Attraction for Transient Stability Using the Koopman Operator
- Data-driven Estimation for a Region of Attraction for Transient Stability Using the Koopman Operator
- 中国电机工程学会电力与能源系统学报(英文) 2023年9卷第4期页码：1405-1413
- 作者机构：
  
  1. School of Electrical and Electronic Engineering, North China Electric Power University,Beijing,China
  2. Department of Electrical Engineering, Tsinghua University,Beijing,China
- 作者简介：
- 基金信息：
- DOI：10.17775/CSEEJPES.2021.09360
  中图分类号：
- 纸质出版：2023-07-01
- 稿件说明：
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Le Zheng, Xin Liu, Yanhui Xu, 等. Data-driven Estimation for a Region of Attraction for Transient Stability Using the Koopman Operator[J]. 中国电机工程学会电力与能源系统学报(英文), 2023,9(4):1405-1413.

Le Zheng, Xin Liu, Yanhui Xu, et al. Data-driven Estimation for a Region of Attraction for Transient Stability Using the Koopman Operator[J]. CSEE Journal of Power and Energy Systems, 2023, 9(4): 1405-1413.
Le Zheng, Xin Liu, Yanhui Xu, 等. Data-driven Estimation for a Region of Attraction for Transient Stability Using the Koopman Operator[J]. 中国电机工程学会电力与能源系统学报(英文), 2023,9(4):1405-1413. DOI： 10.17775/CSEEJPES.2021.09360.

Le Zheng, Xin Liu, Yanhui Xu, et al. Data-driven Estimation for a Region of Attraction for Transient Stability Using the Koopman Operator[J]. CSEE Journal of Power and Energy Systems, 2023, 9(4): 1405-1413. DOI： 10.17775/CSEEJPES.2021.09360.

摘要

Abstract

This paper presents a novel Koopman Operator based framework to estimate the region of attraction for power system transient stability analysis. The Koopman eigenfunctions are used to numerically construct a Lyapunov function. Then the level set of the function is utilized to estimate the boundary of the region of attraction. The method provides a systematic method to construct the Lyapunov function with data sampled from the state space

which suits any power system models and is easy to use compared to traditional Lyapunov direct methods. In addition

the constructed Lyapunov function can capture the geometric properties of the region of attraction

thus providing useful information about the instability modes. The method has been verified by a simple illustrative example and three power system models

including a voltage source converter interfaced system to analyze the large signal synchronizing instability induced by the phase lock loop dynamics. The proposed method provides an alternative approach to understanding the geometric properties and estimating the boundary of the region of attraction of power systems in a data driven manner.

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Keywords

references

30. H. Choi and S. Bose. Transient stability analysis of power systems using Koopman Operators [Online ] . Available: http://boses.ece.illinois.edu/files/TSKoopman.pdf, 2018.

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