一种可反映电缆全类型故障的相模变换矩阵  

A phase-mode transformation matrix for reflecting all types of cable faults

作　　者：王植 王宾[2] WANG Zhi;WANG Bin(Yantai Xiaoheng Yunwei Electric Power Technology Co.,Ltd.,Yantai 264000,China;National Key Laboratory of New Power System Operation and Control(Department of Electrical Engineering,Tsinghua University),Beijing 100084,China)

机构地区：[1]烟台小亨运帷电力技术有限公司,山东烟台264000 [2]新型电力系统运行与控制全国重点实验室(清华大学电机系),北京100084

出　　处：《电力系统保护与控制》2025年第6期42-50,共9页Power System Protection and Control

基　　金：国家自然科学基金项目资助(U23B20117)。

摘　　要：相模变换是实现三相耦合电力系统故障分析的基础。相模变换矩阵结构的差异性将直接影响故障辨识的快速性、准确性和基于单一模量进行故障类型辨识的有效性。针对现有相模变换提取的模故障分量不能反映所有故障类型的问题,提出一种可反映全类型电缆故障的故障分量相模变换矩阵。首先,基于电缆的物理结构,对电缆进行故障暂态特征模量分析,总结各等效导体间的耦合特征。然后,结合均匀换位电缆线路参数的数学特征,提出一种可反映全类型电缆故障的故障分量相模变换矩阵,并分析各模量的传输路径和衰减特性。最后,以某配网系统为例,在PSCAD中进行仿真验证。结果表明:所提解耦矩阵能有效解耦电缆系统,解耦出的单一模量即可以反映电缆的全故障类型,且波速度稳定、衰减小,适用于电缆测距。Phase-mode transformation is fundamental for fault analysis in three-phase coupled power systems.The structural differences in phase-mode transformation matrices directly affect the speed and accuracy of fault identification,as well as the effectiveness of single-mode fault type classification.To address the issue that existing phase-mode transformations fail to extract modal fault components that reflect all fault types,this paper proposes a phase-mode transformation matrix for fault components capable of representing all types of cable faults.First,based on the physical structure of the cables,a transient fault characteristic analysis is conducted to summarize the coupling characteristics between equivalent conductors.Then,considering the mathematical characteristics of uniformly transposed cable line parameters,a fault component phase-mode transformation matrix that reflects all cable fault types is proposed.The transmission paths and attenuation characteristics of each mode are also analyzed.Finally,a case study based on a distribution network system is conducted,and simulation verification is performed in PSCAD.The results show that the proposed decoupling matrix can effectively decouple the cable system,allowing a single extracted mode to reflect all cable fault types while maintaining stable wave velocity and minimum attenuation,making it suitable for cable fault location.

关 键 词：相模变换 电缆线路 故障检测 行波测距 

分 类 号：TM7[电气工程—电力系统及自动化]