Self-Calibration of the Phase Angle Errors of RVDs at Frequencies Up to 100 kHz

A set of coaxial resistive voltage dividers (RVDs) with serial-parallel connection has been designed. A new method has also been proposed to calibrate phase angle errors of RVDs at frequencies up to 100 kHz. The method is mainly based on a special proportional relationship with the resistance and capacitance between two RVDs with identical structure, and the assumption is that the stray capacitance distribution is identical for both RVDs. The absolute phase angle error of an RVD can be derived from the phase difference between the two RVDs. The RVD with ratio of 100:1 consisting of 100-$\Omega $ resistive elements has been built and self-calibrated. After the self-calibration of phase angle errors of the RVDs, a buffer has been introduced to the output of the RVD to reduce external loading error for the practical application. Finally, the standard uncertainty in phase angle error of the 100:1 RVD with buffer consisting of 100-$\Omega $ resistive elements is within $30~\mu $ rad at 100 kHz.