Estimating Transient Stability Regions of Large-Scale Power Systems Part II: Reduced-Order Stability Region with Computational Efficiency

Yuqing Lin; Tianhao Wen; Lei Chen; Yang Liu; Q. H. Wu

doi:10.17775/CSEEJPES.2024.01180

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Estimating Transient Stability Regions of Large-Scale Power Systems Part II: Reduced-Order Stability Region with Computational Efficiency

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

- Estimating Transient Stability Regions of Large-Scale Power Systems Part II: Reduced-Order Stability Region with Computational Efficiency
- CSEE Journal of Power and Energy Systems Vol. 11, Issue 1, Pages: 38-50(2025)
- 作者机构：
  
  School of Electric Power Engineering, South China University of Technology,Guangzhou,China
- 作者简介：
- 基金信息：
- DOI：10.17775/CSEEJPES.2024.01180
  CLC：
- Published：01 January 2025
- 稿件说明：
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Yuqing Lin, Tianhao Wen, Lei Chen, et al. Estimating Transient Stability Regions of Large-Scale Power Systems Part II: Reduced-Order Stability Region with Computational Efficiency[J]. CSEE Journal of Power and Energy Systems, 2025, 11(1): 38-50.
DOI：

Yuqing Lin, Tianhao Wen, Lei Chen, et al. Estimating Transient Stability Regions of Large-Scale Power Systems Part II: Reduced-Order Stability Region with Computational Efficiency[J]. CSEE Journal of Power and Energy Systems, 2025, 11(1): 38-50. DOI： 10.17775/CSEEJPES.2024.01180.

摘要

Abstract

Part II of this paper presents a reduced-order stability region (ROSR) based method to estimate the full-order stability region (FOSR) of a large-scale power system. First

we introduce the definitions of FOSR and ROSR

followed by a comprehensive theory that reveals the relationships between them. Since the full-order system can be rewritten as a standard two timescale model and the reduced-order system is regarded as the slow subsystem of it

the proposed theory is derived based on the idea of singular perturbation. With rigorous mathematical proof

the properties of FOSR and ROSR are revealed. Moreover

a modified Energy Augmented Dynamic (EAD) algorithm and a constrained equidistant projection (CEP) approach are employed to estimate the ROSR and FOSR

respectively. The modified EAD algorithm and CEP form a so-called reduced-order stability region mapping (ROSRM) method. Finally

the proposed ROSRM method is applied to the IEEE 10-machine-39-bus power system

and simulation studies confirm its superiority to the traditional energy function method in terms of computational speed and reliability of results.

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