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N-1的部分因子化修正方法和加大数法在母联开关N-1(节点增加)、母线N-1(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N-1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。
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.
作者
王毅
李可萌
曹国芳
闪鑫
陆娟娟
陈中
WANG Yi;LI Kemeng;CAO Guofang;SHAN Xin;LU Juanjuan;CHEN Zhong(NARI Technology Co.,Ltd.,Nanjing 211106,China;School of Electrical Engineering,Southeast University,Nanjing 210096,China)
出处
《电力系统自动化》
北大核心
2026年第3期167-179,共13页
Automation of Electric Power Systems
基金
国家重点研发计划资助项目(2022YFB2404200)。
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
static security analysis
new power system
partial refactorization
fault
node isolation
topology change
