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<p>The article examines the concept of a&#xa0;weighing cycle designed to eliminate balance drift from the weighing result, with the balance drift assumed to be linear. The deviation of the actual balance drift from linearity was found to lead to a&#xa0;significant procedural measurement error. It is noted that with the currently achieved weighing accuracy of primary mass standards and their replicas, as well as the accuracy of watt balances, the balance drift can no longer be considered linear. Experimental data confirming noticeable deviations from linearity in balance drift are presented. When the difference between the compared masses is calculated according to linear and nonlinear drift models, the discrepancy can amount to about 10 µg, which is at least one to two orders of magnitude larger than the standard deviation of a&#xa0;measurement result. Formulas were derived for calculating the result of measuring the mass difference of weights to be compared, which are valid not only for linear but also for nonlinear drift. In order to disseminate the concept of weighing cycles in metrological practice, cycles involving five and six simple weighings of the weights to be compared were developed for the case of nonlinear balance drift to eliminate its effect. These cycles were studied via mathematical simulation and verified experimentally using a&#xa0;CCL1007 comparator (part of GET 3‑2020 State primary standard of the unit of mass—kilogram). The obtained results can be used by specialists for research in the field of metrological assurance of mass measurements.</p>

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Weighing cycles and drift of precision balances

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Yuri I. Kamenskih,
  • Victor S. Snegov

摘要

The article examines the concept of a weighing cycle designed to eliminate balance drift from the weighing result, with the balance drift assumed to be linear. The deviation of the actual balance drift from linearity was found to lead to a significant procedural measurement error. It is noted that with the currently achieved weighing accuracy of primary mass standards and their replicas, as well as the accuracy of watt balances, the balance drift can no longer be considered linear. Experimental data confirming noticeable deviations from linearity in balance drift are presented. When the difference between the compared masses is calculated according to linear and nonlinear drift models, the discrepancy can amount to about 10 µg, which is at least one to two orders of magnitude larger than the standard deviation of a measurement result. Formulas were derived for calculating the result of measuring the mass difference of weights to be compared, which are valid not only for linear but also for nonlinear drift. In order to disseminate the concept of weighing cycles in metrological practice, cycles involving five and six simple weighings of the weights to be compared were developed for the case of nonlinear balance drift to eliminate its effect. These cycles were studied via mathematical simulation and verified experimentally using a CCL1007 comparator (part of GET 3‑2020 State primary standard of the unit of mass—kilogram). The obtained results can be used by specialists for research in the field of metrological assurance of mass measurements.