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<p>National standards must be as accurate and stable as possible to ensure accurate measurements over a long period of time. The choice of travelling standards for comparisons is based on many years of research and the study of the behavior of such standards. The availability of a group of specially designed precision inductance standards in a special thermostat at the national laboratory needed long-term studies of their characteristics before using one of them in comparison of standards. The laboratory has been conducting regular long-term stability studies of the investigated inductance standards of 100 mH at frequency of 1000&#xa0;Hz since 2009, which confirm their stability of no more than 10μH per year. The measurement studied standards were carried out using a special measuring setup for calibrating inductance standards with expanded uncertainty at 35 µH/H. To select the most optimal inductance standard for comparisons, it is advisable that the average results of a single standard be close to the average value of all standards and that it be stable over a long period of time. Drift analysis of the studied standards showed their good stability during 2013–2023, which was confirmed by the Abbe test. The analysis of the results of the detrended sample made it possible to establish the consistency of the standard deviations of the results of the reproduction of the inductance of the studied standards using Student’s and Cochrane tests.</p>

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Selection of Inductance Standard for a Comparison Using Statistical Methods Based on Accurate Measurements

  • 期刊论文

  • 发表日期：

    2026年1月18日

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  • Oleh Velychko,
  • Sergii Kursin,
  • Viktoriia Shvedova,
  • Tetyana Gordiyenko

摘要

National standards must be as accurate and stable as possible to ensure accurate measurements over a long period of time. The choice of travelling standards for comparisons is based on many years of research and the study of the behavior of such standards. The availability of a group of specially designed precision inductance standards in a special thermostat at the national laboratory needed long-term studies of their characteristics before using one of them in comparison of standards. The laboratory has been conducting regular long-term stability studies of the investigated inductance standards of 100 mH at frequency of 1000 Hz since 2009, which confirm their stability of no more than 10μH per year. The measurement studied standards were carried out using a special measuring setup for calibrating inductance standards with expanded uncertainty at 35 µH/H. To select the most optimal inductance standard for comparisons, it is advisable that the average results of a single standard be close to the average value of all standards and that it be stable over a long period of time. Drift analysis of the studied standards showed their good stability during 2013–2023, which was confirmed by the Abbe test. The analysis of the results of the detrended sample made it possible to establish the consistency of the standard deviations of the results of the reproduction of the inductance of the studied standards using Student’s and Cochrane tests.