A sensor uncertainty evaluation model that meets international GUM standards can provide a theoretical foundation for optimizing sensor structure parameters. In this study, a field type circle time-grating sensor was taken as the research object to build an effective uncertainty evaluation model. First, four main uncertainty sources of the field type circle time-grating sensor were found by deducing the mathematical expression of angle measurement and analyzing the sensor uncertainty sources. Second, the transitive relations between the main uncertainty sources and synthetic uncertainty were analyzed and deduced, respectively. Finally, an uncertainty evaluation model with all the main uncertainty sources was built based on modern uncertainty theory. A field type circle time-grating sensor with 72 poles was tested to verify the effectiveness of the proposed uncertainty evaluation model. The results indicated that the evaluation process in the experiment meets the international GUM standards. The peak-to-peak value of the measurement error for the whole week of the field type time grating in this study was 12.09′′. This value was in agreement with the 12.73′′ calculated from the formula of measurement uncertainty evaluation of the field type time grating, which can be used for the actual evaluation of field time grating measurement uncertainty. Moreover, the analysis results can provide a theoretical basis for the optimal design of the time grating sensor structure.

中文翻译：

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场型圆时栅传感器的测量不确定度评估模型

符合国际GUM标准的传感器不确定性评估模型可以为优化传感器结构参数提供理论基础。本研究以场型圆形时栅传感器为研究对象，建立了有效的不确定度评估模型。首先，通过推导角度测量的数学表达式并分析传感器不确定性来源，找到了场型圆时栅传感器的四个主​​要不确定性来源。其次，分别分析和推导了主要不确定性源与综合不确定性之间的传递关系。最后，基于现代不确定性理论，建立了具有所有主要不确定性来源的不确定性评估模型。测试了具有72个极点的场型圆时栅传感器，以验证所提出的不确定性评估模型的有效性。结果表明，实验评估过程符合国际GUM标准。在这项研究中，整个场型时间光栅的整个星期的测量误差的峰-峰值为12.09''。该值与根据场型时间光栅的测量不确定度评估公式计算出的12.73'相吻合，可用于实际时间场光栅测量不确定度的评估。此外，分析结果可为时间光栅传感器结构的优化设计提供理论依据。结果表明，实验评估过程符合国际GUM标准。在这项研究中，整个场型时间光栅的整个星期的测量误差的峰-峰值为12.09''。该值与根据场型时间光栅的测量不确定度评估公式计算出的12.73'相吻合，可用于实际时间场光栅测量不确定度的评估。此外，分析结果可为时间光栅传感器结构的优化设计提供理论依据。结果表明，实验评估过程符合国际GUM标准。在这项研究中，整个场型时间光栅的整个星期的测量误差的峰-峰值为12.09''。该值与根据场型时间光栅的测量不确定度评估公式计算出的12.73'相吻合，可用于实际时间场光栅测量不确定度的评估。此外，分析结果可为时间光栅传感器结构的优化设计提供理论依据。根据场型时间光栅的测量不确定度评估公式计算得到的73′′可用于场时间光栅测量不确定度的实际评估。此外，分析结果可为时间光栅传感器结构的优化设计提供理论依据。根据场型时间光栅的测量不确定度评估公式计算得到的73′′可用于场时间光栅测量不确定度的实际评估。此外，分析结果可为时间光栅传感器结构的优化设计提供理论依据。