Algorithm for synchronizing the results of measurements of position and EMF of induction in the implementation of the calibration mode of the Kibble balance

Abstract

An algorithm for synchronizing the results of measuring the position of the coil of an electromechanical system (EMS) with measurements of the electromotive force (EMF) of the induction of the EMS coil when implementing the dynamic mode of the Kibble balance has been developed. This algorithm allows the data sets to be scaled to a common time scale without the use of hardware synchronization of data acquisition devices. The algorithm is based on using of the method of numerical differentiation of measurement results using Savitsky-Golay filtering, the selection and minimization of a special objective function by the gradient descent method in the form of a standard deviation between the time values of the EMF of the EMS coil converted as a result of differentiation and subsequent interpolation and the corresponding values of the movement speed the EMS coil. During “Balance” research work, experimental studies were carried out to test the algorithm for processing the results of measurements of the position of the EMS coil and the EMF of the induction of the EMS coil, obtained using the measuring instruments with asynchronous interfaces included in the Kibble balance model. Using the algorithm provides tenfold reducing of the error of the experimental data processing results, due to the lack of synchronization of the results of measurements of the position of the EMS coil and the EMF of the induction of the coil, obtained in the dynamic mode of operation of the created model of the Kibble balance.