Abstract

The urgency of the work consists in the necessity of increasing the accuracy of determiningthe average values of dynamic parameters measured practically at all machine building, powerengineering and municipal sector enterprises.The results of an analysis of methods for determining the average integral value of acontinuous dynamic process on discrete data are presented.The magnitudes of errors, caused by the discreteness of measurements and methods ofmathematical processing of the signal, were determined.The dependence of the error in determining the mean value of the measured parameter onthe sampling frequency of sensors and the amplitude of oscillation of the measured quantity, whichallows determining the necessary discreteness of measurement in order to ensure the requiredaccuracy, is demonstrated.The error in determining the mean value of the measured parameter, due to the mathematicalmethod 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, wascarried out.The spheres of application of mathematical methods for determining the average value ofthe measured quantity, providing a minimum error of mathematical processing of measurementresults, are specified.

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