Estimating Critical Clearing Time of Grid Faults Using DA of State-Reduction Model of Power Systems

Yang Liu; Zhongyang Chen; Huanjin Yao; Lin Yi; Q. H. Wu

doi:10.17775/CSEEJPES.2022.07170

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Estimating Critical Clearing Time of Grid Faults Using DA of State-Reduction Model of Power Systems

Special Section Papers | 更新时间：2026-10-15

- Estimating Critical Clearing Time of Grid Faults Using DA of State-Reduction Model of Power Systems
- Estimating Critical Clearing Time of Grid Faults Using DA of State-Reduction Model of Power Systems
- 中国电机工程学会电力与能源系统学报(英文) 2024年10卷第2期页码：807-820
- 作者机构：
  
  1. School of Electric Power Engineering, South China University of Technology,Guangzhou,China
  2. China Southern Power Grid Research Institute,Guangzhou,China
- 作者简介：
- 基金信息：
- DOI：10.17775/CSEEJPES.2022.07170
  中图分类号：
- 纸质出版：2024-03-01
- 稿件说明：
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Yang Liu, Zhongyang Chen, Huanjin Yao, 等. Estimating Critical Clearing Time of Grid Faults Using DA of State-Reduction Model of Power Systems[J]. 中国电机工程学会电力与能源系统学报(英文), 2024,10(2):807-820.

Yang Liu, Zhongyang Chen, Huanjin Yao, et al. Estimating Critical Clearing Time of Grid Faults Using DA of State-Reduction Model of Power Systems[J]. CSEE Journal of Power and Energy Systems, 2024, 10(2): 807-820.
Yang Liu, Zhongyang Chen, Huanjin Yao, 等. Estimating Critical Clearing Time of Grid Faults Using DA of State-Reduction Model of Power Systems[J]. 中国电机工程学会电力与能源系统学报(英文), 2024,10(2):807-820. DOI： 10.17775/CSEEJPES.2022.07170.

Yang Liu, Zhongyang Chen, Huanjin Yao, et al. Estimating Critical Clearing Time of Grid Faults Using DA of State-Reduction Model of Power Systems[J]. CSEE Journal of Power and Energy Systems, 2024, 10(2): 807-820. DOI： 10.17775/CSEEJPES.2022.07170.

摘要

Abstract

This paper proposes a critical clearing time (CCT) estimation method by the domain of attraction (DA) of a state-reduction model of power systems using sum of squares (SOS) programming. By exploiting the property of the Jacobian matrix and the structure of the boundary of the DA

it is found the DA of the state-reduction model and that of the full model of a power system are topological isomorphism. There are one-to-one correspondence relationships between the number of equilibrium points

the type of equilibrium points

and solutions of the two system models. Based on these findings

an expanding interior algorithm is proposed with SOS programming to estimate the DA of the state-reduction model. State trajectories of the full model can be transformed to those of the state-reduction model by orthogonal or equiradius projection. In this way

CCT of a grid fault is estimated with the DA of the state-reduction model. The calculational burden of SOS programming in the DA estimation using the state-reduction model is rather small compared with using the full model. Simulation results show the proposed expanding interior algorithm is able to provide a tight estimation of DA of power systems with higher accuracy and lower time costs.

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