Estimation of Measuring Uncertainty of Electric Motors Torques Using the Theory of Fuzzy Sets

Abstract

The use of the theory of fuzzy variables in metrology opens up new opportunities for taking into account informal information about the sources of uncertainty in the measurement of various mechanical quantities. This is especially relevant when determining errors in the rotational parameters of electric motors. This article discusses a new approach to measurement accuracy assessment that goes beyond traditional measurement methods. In particular, attention is focused on the task of assessing the reliability range of measurements of rotational parameters of electric motors within a certain accuracy class. Each measurement is accompanied by an error that has both systematic and random components. Since the exact value of the measurement results cannot be known within the range that is limited by the accuracy class of the device, the article proposes to consider the true value of the measured value as a fuzzy variable, which allowed getting a better idea of the uncertainty of the measurement. In the article, an attempt was made to estimate the approximate accuracy of measurements of rotational parameters of electric motors using a specially developed membership function. The practical application of this method makes it possible to assess the reliability of measurements in different modes of operation of electrode benders. For a more detailed analysis of this problem, the article provides examples of solving similar problems using the theory of possibilities and the theory of fuzzy sets, which made it possible to better take into account the uncertainties of the rotational parameters of electric motors and determine further ways of developing this problem.