Reduction of the dynamic component of the error of determining the mean-integral values of the measuring parameters

Abstract

The urgency of the work consists in the necessity of increasing the accuracy of determining
the average values of dynamic parameters measured practically at all machine building, power
engineering and municipal sector enterprises.
The results of an analysis of methods for determining the average integral value of a
continuous dynamic process on discrete data are presented.
The magnitudes of errors, caused by the discreteness of measurements and methods of
mathematical processing of the signal, were determined.
The dependence of the error in determining the mean value of the measured parameter on
the sampling frequency of sensors and the amplitude of oscillation of the measured quantity, which
allows determining the necessary discreteness of measurement in order to ensure the required
accuracy, is demonstrated.
The error in determining the mean value of the measured parameter, due to the mathematical
method of averaging, is shown. An analysis of various methods of mediating the measured value,
such as the mean square method, the spline method, the Simpson method and its modification, was
carried out.
The spheres of application of mathematical methods for determining the average value of
the measured quantity, providing a minimum error of mathematical processing of measurement
results, are specified.