Computer simulation of logarithmic transformation function to expand the range of high-precision measurements

• Main Authors: Volodymyr Shcherban’, Ganna Korogod, Oksana Kolysko, Mariana Kolysko, Yury Shcherban’, Ganna Shchutska
• Format: Article
• Language: English
• Published: PC Technology Center 2021-04-01
• Series: Eastern-European Journal of Enterprise Technologies
• Subjects: redundant methods; measurement equations; accuracy increase; normalized quantities; reproduction errors of quantities
• Online Access: http://journals.uran.ua/eejet/article/view/227984
• ISSN: 1729-3774; 1729-4061

Studies of the effect of normalized radiation fluxes on the measurement result revealed the most influential one. The value of the normalized flow F0 was shown to have a greater effect on the relative measurement error than ΔF0. This allows investigating the relationship between the controlled Fx and the normalized flow F0. Experimental studies have confirmed that by a threefold increase in the normalized flow F0 relative to the controlled flow Fx, it becomes possible to increase the measurement accuracy in a wide range. In particular, it was found that at the flux value F0=0.16×10-3 W, it becomes possible to measure the controlled flow in a wider range Fх=(0.16×10-3÷0.97×10-3) W with a relative error of thousandths of a percent. The effect of the reproduction error on the measurement result under the condition of a threefold increase in the normalized flow F0 relative to the controlled flow Fх is shown. It was found that an increase in the reproduction error of the normalized radiation fluxes by 1 order leads to a narrowing of the range in which the value of the relative error tends to zero. It is shown that in the absence of a threefold increase in the normalized flow F0, an increase in the reproduction error of the normalized flows by 1 order leads to individual cases of reduction in the relative error to small-order values. The latter, by the way, applies to cases where the ratio between the normalized F0 and controlled flow Fx, as 3 to 1, is ensured. It is shown that the reproduction error of the dark flow does not affect the measurement result.Thus, there is reason to believe that it is possible to expand the measurement range, in which the value of the relative error is thousandths of a percent, even for 1 measurement cycle