Published March 31, 2026 | Version v1
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EVALUATION OF UNCERTAINTY IN THE CALIBRATION OF ANALYTICAL BALANCES BASED ON MATHEMATICAL MODELING

  • 1. 2nd-year Master's student of the Department of Metrology, Technical Regulation, Standardization and Certification, Tashkent State Technical University
  • 2. Head of Department at the Cadastral Agency of the Republic of Uzbekistan, Professor, Doctor of Technical Sciences

Description

To develop a mathematical model for the calibration of analytical balances, the MA204/A model of analytical balance manufactured by Mettler-Toledo was selected. The application of the modeling method enabled the identification of uncertainty sources affecting the calibration process, as well as their reduction.The results of the study showed that the primary sources of uncertainty affecting the MA204/A analytical balance are the off-center loading (eccentricity error) and the drift of the reference weights. Furthermore, it was established that reducing the dominant sources by 30–50% can decrease the overall uncertainty by 25–40%, which represents a practically significant outcome.

These findings further substantiate the practical applicability of the modeling results and confirm their reliability. Based on the conducted research, a set of practical recommendations for reducing uncertainty in the calibration process of analytical balances was developed, along with proposals for their implementation in practice.

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References

  • .JCGM 100:2008. Evaluation of measurement data — Guide to the expression of uncertainty in measurement (GUM). Joint Committee for Guides in Metrology, 2008.
  • .EURAMET cg-18 (2015). Guidelines on the Calibration of Non-Automatic Weighing Instruments. European Association of National Metrology Institutes.
  • .OIML R 111-1:2004. Weights of classes E1, E2, F1, F2, M1, M2, M3 — Metrological and technical requirements. International Organization of Legal Metrology.
  • .ISO/IEC 17025:2017. General requirements for the competence of testing and calibration laboratories. International Organization for Standardization.
  • BIPM. The International System of Units (SI). 9th edition. Bureau International des Poids et Mesures, 2019.