Uncertainty analysis for four terminal-pair capacitance and dissipation factor characterization at 1 and 10 MHz

Abstract

The Electricity Division at the NIST has developed the capability to characterize capacitance and dissipation factor for four terminal-pair (4TP) air dielectric capacitors at frequencies from 1 kHz to 10 MHz. The method involves single-port network analyzer impedance measurements at frequencies from 40 MHz to 200 MHz and capacitance measurements using a precision 1 kHz capacitance meter. A mathematical regression algorithm is used to extrapolate inductance and resistance measurements from the network analyzer down to 1 kHz in order to predict capacitance and dissipation factor from 1 kHz to 10 MHz. A comprehensive uncertainty analysis for the procedure is presented.