Gan Mengying, You Hongsen, Yuan Jiansheng
Department of Electrical Engineering, Tsinghua University, Beijing 100084, China.
Sensors (Basel). 2024 May 14;24(10):3115. doi: 10.3390/s24103115.
An online measurement method is proposed in this paper, and a system is established for detecting the excitation impedance of current transformers (CTs) based on Norton's theorem. The theorem is carried out by connecting a resistance and an inductance at the secondary side port of the CT to get the equations for calculating the impedance. The iterative method is used to solve the equations, and the solution is revised to consider the nonlinearity of the core. The main variable in the equations is the variation of the secondary current with the resistance or inductance. To obtain the secondary current variation accurately, which is less than 1‱ of the current, a differential method is proposed, which is based on charging two capacitors and measuring the difference of their voltages instead of measuring each current separately first and then obtaining the current variation by subtraction. This is equivalent to saving two currents first and then measuring the current difference. The differential method avoids the problem of error amplification in the process of measuring two currents separately first and then subtracting them to obtain the current variation and solves the problem that two currents do not appear simultaneously. The results verify the correctness and accuracy of the proposed method and system. The acquisition of the excitation impedance is the basis for obtaining the working characteristics of CT cores, including magnetic and loss characteristics, as well as the error of CTs.
本文提出了一种在线测量方法,并基于诺顿定理建立了一个用于检测电流互感器(CT)励磁阻抗的系统。该定理通过在CT的二次侧端口连接一个电阻和一个电感来实现,从而得到计算阻抗的方程。采用迭代法求解方程,并对解进行修正以考虑铁芯的非线性。方程中的主要变量是二次电流随电阻或电感的变化。为了精确获取小于电流1‱ 的二次电流变化,提出了一种微分方法,该方法基于对两个电容器充电并测量它们的电压差,而不是先分别测量每个电流,然后通过减法得到电流变化。这相当于先保存两个电流,然后测量电流差。微分方法避免了先分别测量两个电流然后相减得到电流变化过程中的误差放大问题,并解决了两个电流不同时出现的问题。结果验证了所提方法和系统的正确性和准确性。励磁阻抗的获取是获得CT铁芯工作特性(包括磁特性和损耗特性)以及CT误差的基础。