Computer modeling in the study of the effect of normalized quantities on the measurement accuracy of the quadratic transformation function

Authors

DOI:

https://doi.org/10.15587/1729-4061.2022.254337

Keywords:

redundant methods, measurement equations, accuracy improvement, normalized quantities, reproduction errors of quantities

Abstract

The research of the systems of equations of quantities describing, respectively, 5 and 6 measurement cycles revealed the peculiarities of redundancy formation. It is proved that the normalized temperature T1 has the greatest effect on the measurement result for both systems. In addition, it was found that in both systems, an increase in the reproduction accuracy of the normalized temperature T1 (with a constant reproduction error of T2) does not lead to a significant improvement in the results. Due to this, it can be argued on the use of non-precision normalized sources to reproduce the temperature T1. However, an order of magnitude increase in the reproduction accuracy of both normalized quantities T1 and T2 also increases the measurement accuracy by an order of magnitude. Computer modeling confirmed that for the redundant measurement equation (11) at the ratio Т1=Ті(0.0005•Ті+1) in the range (10÷200) °С, measurement with a relative error (0.01÷0.00003) % is provided. When applying the redundant measurement equation (13), the accuracy increases to 0.0059 % only at the end of the range. Based on the results obtained, it was found that the accuracy of redundant measurements is influenced by the type of equation itself, not their number. Processing of the results based on the redundant measurement equation, by the way, ensures the independence of the measurement result from the influence of absolute values of the transformation function parameters, as well as their deviations from nominal values under the influence of external destabilizing factors.

Thus, there is reason to believe that it is possible to increase the accuracy of measurement in a wide range by observing the ratio between normalized and controlled quantities

Author Biographies

Volodymyr Shcherban’, Kyiv National University of Technologies and Design

Doctor of Technical Sciences, Professor, Head of Department

Department of Computer Science

Ganna Korogod, Kyiv National University of Technologies and Design

PhD, Associate Professor

Department of Computer Science

Oksana Kolysko, Kyiv National University of Technologies and Design

PhD, Associate Professor

Department of Computer Science

Antonina Volivach, Kyiv National University of Technologies and Design

PhD, Senior Lecturer

Department of Computer Science

Yury Shcherban’, State Higher Educational Establishment "Kyiv College of Light Industry"

Doctor of Technical Sciences, Professor, Head of Department

Department of Light Industry Technologies

Ganna Shchutska, State Higher Educational Establishment "Kyiv College of Light Industry"

Doctor of Technical Sciences, Associate Professor, Director

Department of Light Industry Technologies

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Published

2022-04-30

How to Cite

Shcherban’, V., Korogod, G., Kolysko, O., Volivach, A., Shcherban’, Y., & Shchutska, G. (2022). Computer modeling in the study of the effect of normalized quantities on the measurement accuracy of the quadratic transformation function. Eastern-European Journal of Enterprise Technologies, 2(5 (116), 6–16. https://doi.org/10.15587/1729-4061.2022.254337

Issue

Section

Applied physics