电力系统自动化2026，Vol.50Issue(3)：167-179,13.DOI:10.7500/AEPS20250520006
复杂故障下静态安全分析的部分因子化修正改进方法
Improved Partial Refactorization Method for Static Security Analysis Under Complex Faults
摘要
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 N-1 contingencies and the large-number method in the scenarios such as bus-tie switch N-1(node addition)and busbar N-1(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 N-1.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
静态安全分析/部分因子化修正/故障/节点隔离/拓扑变化Key words
static security analysis/new power system/partial refactorization/fault/node isolation/topology change引用本文复制引用
王毅,李可萌,曹国芳,闪鑫,陆娟娟,陈中..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):167-179,13.基金项目
国家重点研发计划资助项目(2022YFB2404200). This work is supported by National Key R&D Program of China(No.2022YFB2404200). （2022YFB2404200）
