基于表面磁场反演的三芯电缆相电流测量方法  

Phase Current Measurement of Three-core Cables Based on Inverse Analysis of Sur-face Magnetic Field

作　　者：王航 黄炳 廖雁群 南保峰 黄邦斗 邵涛[3] WANG Hang;HUANG Bing;LIAO Yanqun;NAN Baofeng;HUANG Bangdou*;SHAO Tao(Hubei Engineering Research Center for Safety Monitoring of New Energy and Power Grid Equipment(Hubei University of Technology),Wuhan 430068,Hubei Province,China;Zhuhai Power Supply Bureau of Guangdong Power Grid Co.,Ltd.,Zhuhai 519000,Guangdong Province,China;Institute of Electrical Engineering,Chinese Academy of Sciences,Haidian District,Beijing 100190,China)

机构地区：[1]新能源及电网装备安全监测湖北省工程研究中心(湖北工业大学),湖北省武汉市430068 [2]广东电网有限责任公司珠海供电局,广东省珠海市519000 [3]中国科学院电工研究所,北京市海淀区100190

出　　处：《中国电机工程学报》2025年第3期1182-1193,I0032,共13页PROCEEDINGS OF THE CHINESE SOCIETY FOR ELECTRICAL ENGINEERING

摘　　要：相电流是反映三芯电缆运行情况的重要状态量,传统的铁磁式电流互感器无法在三芯统包电缆上非侵入式测量相电流。该文建立相差60°的环形霍尔阵列测量三芯电缆表面磁场的模型,基于安培环路定理构建相电流与测量点磁场的非线性方程组,提出基于差分进化算法的表面磁场反演相电流的数值计算方法,采用数值仿真和模拟试验验证传感模型和数值计算方法的有效性。仿真结果表明,差分进化算法优于粒子群和遗传算法,在电缆芯线对称情况下,差分进化算法反演得到的ABC相电流幅值误差绝对值分别为0.02、0.01、0.01 A,电流相位误差绝对值分别为0.00°、0.01°、0.01°。在偏芯情况下反演得到的ABC相电流幅值最大误差绝对值分别为0.48、0.88、0.71 A,电流相位最大误差绝对值分别为0.14°、0.11°、0.08°。试验结果表明,偏芯情况下,差分进化算法反演得到的三相电流误差较小,三相电流幅值误差小于4.14%,电流相位误差小于0.23 rad。该文提出的环形霍尔阵列比差角差接近1.0级电流互感器,可满足工程测量需求。Phase current of three-core cable is an important parameter for condition monitoring,which cannot be directly measured non-invasively by traditional ferromagnetic current transformers around the surface of three-core integrated cable.In this paper,six Hall sensors are designed to be clapped around uniformly on the circular surface of cable,whilst the magnetic induction intensity along the cable surface is modeled,the nonlinear equations of the phase current and the magnetic field at measured points are deduced based on Ampere circuital theorem,the differential evolution algorithm is proposed to solve the nonlinear equations of the measured magnetic field and phase current,and the model as well as method are verified by simulation and experiment.The results show that the differential evolution method is better than particle swarm optimization and genetic algorithm in the simulation.Under the simulation condition of symmetric cable core,the magnitude error of the calculated phase ABC current is 0.02,0.01,0.01 A,and the phase error is 0.00°,0.01°,0.01°,respectively.Under the simulation condition of asymmetric cable core,the magnitude errors of the calculated phase ABC current is 0.48,0.88,0.71 A,and the phase error is 0.14°,0.11°,0.08°,respectively.The experimental results show that the three-phase current error obtained by differential evolution inversion is minimum,the three-phase current magnitude error is within 4.14%,and the current phase error is within 0.23 rad.The ratio and phase error of the proposed annular Hall sensor is approximate to the current transformer class 1.0,which can meet field test demand.

关 键 词：三芯电缆 表面磁场 磁场反演 相电流 差分进化算法 

分 类 号：TM937.1[电气工程—电力电子与电力传动]