Improved Partial Refactorization Method for Static Security Analysis Under Complex Faults

WANG Yi; LI Kemeng; CAO Guofang; SHAN Xin; LU Juanjuan; CHEN Zhong

doi:10.7500/AEPS20250520006

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Improved Partial Refactorization Method for Static Security Analysis Under Complex Faults

Application Research | 更新时间：2026-02-28

- Improved Partial Refactorization Method for Static Security Analysis Under Complex Faults
- Automation of Electric Power Systems Vol. 50, Issue 3, Pages: 167-179(2026)
- 作者机构：
  
  1.国电南瑞科技股份有限公司，江苏省南京市 211106
  2.东南大学电气工程学院，江苏省南京市 210096
- 作者简介：
- 基金信息：
  
  National Key R&D Program of China(2022YFB2404200)
- DOI：10.7500/AEPS20250520006
  CLC：
- Received：20 May 2025，
  
  Revised：2025-08-10，
  
  Online First：09 September 2025，
  
  Published：10 February 2026
- 稿件说明：
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王毅,李可萌,曹国芳等.复杂故障下静态安全分析的部分因子化修正改进方法[J].电力系统自动化,2026,50(3):167-179.

WANG Yi,LI Kemeng,CAO Guofang,et al.Improved Partial Refactorization Method for Static Security Analysis Under Complex Faults[J].Automation of Electric Power Systems,2026,50(3):167-179.
王毅,李可萌,曹国芳等.复杂故障下静态安全分析的部分因子化修正改进方法[J].电力系统自动化,2026,50(3):167-179. DOI： 10.7500/AEPS20250520006.

WANG Yi,LI Kemeng,CAO Guofang,et al.Improved Partial Refactorization Method for Static Security Analysis Under Complex Faults[J].Automation of Electric Power Systems,2026,50(3):167-179. DOI： 10.7500/AEPS20250520006.

摘要

新型电力系统运行方式变化愈发频繁且复杂，要求静态安全分析应用能快速处理各种复杂预想故障。复杂预想故障存在电气节点数增减等特性，现有部分因子化修正方法适用性不佳，限制了当前静态安全分析应用的性能。为此，文中提出了部分因子化修正改进方法。首先，分析了现有考虑线路

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的部分因子化修正方法和加大数法在母联开关

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（节点增加）、母线

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（节点减少）等场景下的应用局限性。然后，针对电气节点减少场景提出了节点隔离法，通过理论推导证明了节点隔离法可在远优于加大数法数值稳定性的基础上实现方程求解误差接近机器精度。随后，针对电气节点不变及增加场景，提出了增量矩阵分解策略和两阶段法，克服了以往部分因子化修正技术仅能高效处理线路

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等简单故障的弊端。接着，提出了部分因子化修正框架，整合了节点隔离法（节点减少）、增量矩阵分解（节点不变）和两阶段法（节点增加），将部分因子化修正技术的适用范围拓展到全类型预想故障。最后，设计了包含D5000测试环境和仿真环境的多种规模算例，验证了所提方法较D5000内置算法及传统部分因子化修正算法的优势，支撑了静态安全分析应用。

Abstract

The change of operation modes of new power systems is becoming increasingly frequent and complex

which demands that static security analysis applications rapidly handle various complex anticipated faults. Complex anticipated faults involve the increases or decreases in the number of electrical nodes

for which existing partial refactorization methods exhibit poor adaptability

limiting the performance of current static security analysis applications. To address this

this paper proposes an improved partial refactorization method. Firstly

the limitations of existing partial refactorization methods considering line

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contingencies and the large-number method in the scenarios such as bus-tie switch

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(node addition) and busbar

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(node reduction) are analyzed. Subsequently

a node isolation method is proposed for scenarios with reduced electrical nodes. Theoretical derivation demonstrates that the node isolation method achieves solution errors close to machine precision while offering significantly superior numerical stability compared to the large-number method. For the scenarios with the unchanged or increased number of electrical nodes

an incremental matrix decomposition strategy and a two-stage method are proposed

overcoming the limitation of previous partial refactorization techniques that could only efficiently handle simple faults like line

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. Furthermore

by integrating the node isolation method (for node reduction)

incremental matrix decomposition (for unchanged nodes)

and the two-stage method (for node addition)

a partial refactorization framework is proposed

thereby extending the applicability of partial refactorization technology to all types of contingency scenarios. Finally

case studies of various scales

designed within the D5000 test environment and simulation environment

verify the advantages of the proposed method over the built-in algorithms of D5000 and traditional partial refactorization algorithms

thereby supporting the application of static security analysis

关键词

Keywords

references

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