Keywords
amplitude
digital method
minimization of random measurement errors
How to Cite
Abstract
The errors of measuring the amplitude of sinusoidal signals by the method based on the calculation of the sum of the ratios of digital samples of instantaneous signal values to the sines of the phase angles corresponding to the sampling moments are investigated. A mathematical expression for determining the total random measurement error using the values of the parameters of the error components is obtained. It is shown that there is a minimum value of the total random measurement error as a function of the number of instantaneous signal values taken into account. The method of ensuring the reduction of the level of random error to the desired level is given. The method can be used to create metrological support for measuring the parameters of electrical signals at low and infralow frequencies, including industrial frequency. References 6, figures 4, table 1.
References
Ministerstvo enerhetyky ta zakhystu dovkillia Ukrainy. Normy vyprobuvannia elektroobladnannia. SOU-H EE 20.302:2020. PAT «Nazionalna enerhetychna kompania «Ukrenerho», 2020. 238 p. (Ukr)
Ifeachor E.C., Jervis B.W. Digital signal processing: a practical approach. 2nd edition. Pearson Education, 2002. 933 p. (Eng)
Andow F., Matsushima T., Ivasaki M. Apparatus for calculating amplitude values. Pat. USA 4073008. Publ.07.02.1978. (Eng)
Rudyk A. V. Phase-frequency method of measuring the amplitude of sinusoidal alternating voltage. Vymiriuvalna ta obchisliuvalna tekhnika v tekhnologichnikh protsessack (Khmelnytskyi). 2015. No 4. Pp. 96–102. (Ukr) URL:http://irbis-nbuv.gov.ua/cgi-bin/irbis_nbuv/cgiirbis_64.exe?C21COM=2&I21DBN= UJRN&P21DBN=UJRN&IMAGE_FILE_DOWNLOAD=1&Image_file_name=PDF/vott_2015_4_16.pdf (Ac-cessed 03.05.2022)
Borshchov P.I. Improving the resolution of digital sinusoidal amplitude meters. Tekhnichna Elektrodynamika. 2006. No 3. Pp. 58–62. (Rus)
Borshchov P.I. Selective meter of electrical quantities at industrial frequency. Tekhnichna Elektrodynamika. 2005. No 4. Pp. 74–78. (Rus)
Kukharchuk V.V., Kucheruk V.Y., Volodarskii Y.T., Grabko V.V. Basics of metrology and electrical measurements. Vinnytsia: VNTU, 2011. 522p. (Ukr)
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright (c) 2022 P.I. Borshchov