Methodology for assessing the accuracy of a measuring instrument for the ion concentration using its measurement model

Authors

DOI:

https://doi.org/10.21014/actaimeko.v14i1.1938

Keywords:

ion concentration, measurement means, metrological characteristics, measurement model, Taylor series, measurement uncertainty

Abstract

To analyze the metrological characteristics of measuring instruments, it was proposed to expand the conversion equation into a Taylor series. The components of this series yield equations that describe the instrument’s sensitivity as well as its additive and multiplicative errors. Additionally, a mathematical model is introduced, allowing the conversion of these additive and multiplicative errors into measurement uncertainty. The proposed models were tested using a measurement model for ion concentration based on ion-selective electrodes. The measurement accuracy assessment methodology demonstrated that the expanded uncertainty of ion concentration measurements ranges from ± 0.101 pX to ± 0.204 pX, depending on the measurement range. Measurements performed at the beginning of the measurement range exhibit lower values of expanded uncertainty, while measurements conducted at the upper measurement range show slightly higher values of expanded uncertainty.

Author Biography

Oleksandr Vasilevskyi, The University of Texas at Austin

Department of Mechanical Engineering 

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Published

2025-03-12

Issue

Vol. 14 No. 1 (2025)

Section

Research Papers

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Copyright (c) 2025 Oleksandr Vasilevskyi

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