Abstract

This paper presents a simplified method for realizing absolute phase and ac resistance for current shunts using only impedance ratio measurements. The method is based on three geometrically identical current shunts with different resistances, but with the same inductance, capacitance, and ac–dc resistance change. We demonstrate how the inductance, capacitance, and ac resistance can be calculated from the complex impedance ratio measurements, therefore realizing absolute current shunt impedance. The method gives competitive uncertainties of around $200~ \mu \Omega / \Omega $ for amplitude and $400~ \mu $ rad for phase at 1 MHz in the 1- $\Omega $ range.

Highlights

  • W HEN a shunt is used for current measurement, its impedance determines the relation between the input current and its output voltage

  • The common way of calibrating the impedance is to use an impedance ratio bridge to measure the ratio of the shunt impedance to a known reference impedance

  • We present a method [12] to realize absolute phase and ac resistance using only an impedance ratio bridge and shunts calibrated for dc resistance, without the need for reference shunt calibration using other measurement setups

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Summary

INTRODUCTION

W HEN a shunt is used for current measurement, its impedance determines the relation between the input current and its output voltage. The common way of calibrating the impedance is to use an impedance ratio bridge to measure the ratio of the shunt impedance to a known reference impedance. This method is relatively straightforward and gives accurate results, but it is dependent on an absolute calibration of both the amplitude |Zref | and phase φref = arg Zref of the reference impedance. We present a method [12] to realize absolute phase and ac resistance using only an impedance ratio bridge and shunts calibrated for dc resistance, without the need for reference shunt calibration using other measurement setups

CURRENT SHUNT GROUPS
DIGITAL IMPEDANCE BRIDGE
PHASE REALIZATION
AC RESISTANCE REALIZATION
COMPARING SHUNT GROUPS
Monte Carlo Simulation
Inductance Uncertainty
Capacitance Uncertainty
Phase Difference Uncertainty
Uncertainty of Time Constant
Findings
AC Resistance Uncertainty
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