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Validation of the GUM using the Monte Carlo method when applied in the calculation of the measurement uncertainty of a compact prover calibration
Flow Measurement and Instrumentation ( IF 2.2 ) Pub Date : 2021-01-05 , DOI: 10.1016/j.flowmeasinst.2020.101877
H.F.F. Castro

This article presents the calibration of a compact prover using the weighing method. An evaluation of measurement uncertainty of the prover calibration has been developed using the GUM and Monte Carlo methodologies. A water draw kit was utilized to direct the liquid flow from the compact prover to a water container in order to weigh the transferred water mass on a balance. This amount of mass was used as reference for the calculation of the prover base volume. A modeling of the flow rate into the water draw kit as a function of time was conceived. This modeling was applied for calculating the error in the liquid volume of the water container due to the switching of two solenoid valves of the water draw kit. A mathematical model of the prover base volume has been developed. This model is non-linear and the two largest sources of uncertainty are related to the balance calibration certificate that together account for 31.84% of the uncertainty budget. This work showed that the GUM approach was validated by Monte Carlo method in the calculation of the measurement uncertainty of the calibration of a compact prover. The absolute differences of the respective endpoints of the coverage intervals of these two methods are less than 0.00023% of estimate of the prover base volume whose value is 151.427 dm³. This result was obtained for a coverage probability of 95% and 106 Monte Carlo iterations. The density of the calibration water and its uncertainty have been calculated through an innovative approach.



中文翻译:

在紧凑型证明者校准的测量不确定度计算中使用蒙特卡洛方法对GUM进行验证

本文介绍了使用称重方法对紧凑型证明机的校准。已经使用GUM和蒙特卡洛方法对证明者校准的测量不确定度进行了评估。利用抽水套件将液体从紧凑的证明者引导到水容器,以便在天平上称量转移的水量。该质量量用作计算证明者基本体积的参考。设想了随时间变化的抽水工具箱中的流量模型。该模型用于计算由于抽水套件的两个电磁阀的切换而导致的水容器的液体体积误差。已经建立了证明者基本数量的数学模型。该模型是非线性的,不确定性的两个最大来源与天平校准证书有关,二者合计占不确定性预算的31.84%。这项工作表明,GUM方法已通过蒙特卡洛方法在紧凑型证明者校准的测量不确定度计算中得到了验证。这两种方法的覆盖时间间隔的各个端点的绝对差小于值为151.427dm³的证明者基本量估计的0.00023%。获得此结果的覆盖率为95%,并且106蒙特卡洛迭代。校准水的密度及其不确定度已通过创新方法进行了计算。

更新日期:2021-01-10
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