四端对同轴型计算电阻及其量值传递的研究
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TH85 + 4. 3

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国家自然科学基金(51877202,51777199)项目资助


Research on the four terminal-pair coaxial calculable resistor and its value transmission
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    摘要:

    针对回线型和双螺线型计算电阻普遍存在的热电效应误差以及非金属支撑件引入的介质损耗等导致频率特性变差的 问题,本文研制了一种结构简单且交直流差极小的 1 kΩ 四端对同轴型计算电阻,并基于理论公式计算和三维电磁场有限元仿 真建模得到分布电容、残余电感、趋肤效应、涡流损耗等对其交直流差的贡献量。 设计并研制了一种基于感应分压器原理的高 精度四端对交流电阻电桥,采用两只频率特性已知的商用 10 kΩ 四端对四回线型计算电阻作为标准,实现对四端对同轴型计算 电阻的 400 Hz~ 10 kHz 频率特性的实验验证。 此外,采用该计算电阻还可实现对 100 Ω、1 kΩ、10 kΩ 的商用交流电阻器的高准 确量传,其最佳测量标准不确定度为 1 kHz 下量传 1 kΩ 时的 8×10 -8 。

    Abstract:

    To solve the common problems of the thermoelectric effect error and the dielectric loss of the nonmetallic support frame for the bifilar, quadrifilar, octofilar and double helix calculable resistors, one kind of 1 kΩ four terminal-pair (4TP) coaxial calculable resistor (CCR) with simple structure and minimum AC/ DC resistance difference is developed. On basis of the theoretical calculation and the 3D electromagnetic field finite element simulation, the AC/ DC resistance difference introduced from the distributed capacitance, residual inductance, skin effect and eddy current loss are achieved. A high-precision 4TP AC resistance bridge based on the inductive voltage divider is developed, which could be utilized as the experimental validation of the frequency dependence for the 4TP CCR from 400 Hz to 10 kHz in comparison with two commercial 10 kΩ 4TP quadrifilar calculable resistors with the known frequency dependence. In addition, the 4TP CCR with the same 4TP AC resistance bridge can realize the quantity value transfer for the commercial AC standard resistors within the resistance range of 100 Ω, 1 kΩ and 10 kΩ from 400 Hz to 10 kHz, which has the best standard measurement uncertainty of 8×10 -8 for the 1 kΩ at 1 kHz.

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白 天,王书涛,杨 雁,曲正伟,黄 璐.四端对同轴型计算电阻及其量值传递的研究[J].仪器仪表学报,2022,43(2):84-91

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  • 在线发布日期: 2023-02-06
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