García-Berrocal A, Montalvo C, Carmona P, Blázquez J
Universidad Politécnica de Madrid (UPM), CLH Chair in Hydrocarbon Metrology, ETSI Minas y Energía, Ríos Rosas 21, Madrid 28003, Spain.
Universidad Politécnica de Madrid (UPM), CLH Chair in Hydrocarbon Metrology, ETSI Minas y Energía, Ríos Rosas 21, Madrid 28003, Spain.
ISA Trans. 2019 Jul;90:311-318. doi: 10.1016/j.isatra.2019.01.007. Epub 2019 Jan 25.
In recent years, the Coriolis mass flow meters (CMF), devices based on the Coriolis effect over a vibrating pipe, have developed better metrological performance and they are now a reasonable alternative for the custody transfer measurements. Nowadays, many custody transfer operations require measurement of the net volume (volume measured at a certain reference temperature) and, therefore, it is not feasible to use the CMF as a mass flow meter. However, the actual CMF can be used as net volume meters because they have special equipment to measure density and temperature, and a flow computer. In this work, firstly a mathematical simplification of the physical model is proposed for the CMF. We part from the dimensional analysis of the flow-phase relationship produced by the Coriolis force, the main physical principle behind these devices. A simplified formula is obtained and it permits identifying the magnitudes of influence of the CMF as a mass meter. Secondly, its metrological properties are characterized. For such purpose, a 4" straight tube commercial meter has been calibrated in volume, in the 50 to 165 m/h range against a standard container and a bidirectional prover, employing gas oil and kerosene (JET-A1). These calibrations have turned out to be compatible with the ones performed by the manufacturer in mass and using water. Then it is verified that the CMF fulfills the requisites of the legal metrology: maximum error allowed, linearity and repeatability. Skewness is observed in the relative error (expressed in %) of the CMF and it has been researched to be due to systematic effects related to constructive parameters of the meter. Lineal correlation is verified between relative error and temperature, and between relative error and flow rate, with negative slopes of -0.03% °C and -0.001% h/m respectively.
近年来,科里奥利质量流量计(CMF),这种基于振动管上科里奥利效应的装置,已经具备了更好的计量性能,如今在贸易交接计量方面是一种合理的选择。如今,许多贸易交接操作需要测量净体积(在特定参考温度下测量的体积),因此,将CMF用作质量流量计是不可行的。然而,实际的CMF可以用作净体积计,因为它们有测量密度和温度的特殊设备以及一台流量计算机。在这项工作中,首先针对CMF提出了物理模型的数学简化。我们从对科里奥利力产生的流动相关系的量纲分析入手,科里奥利力是这些装置背后的主要物理原理。得到了一个简化公式,它有助于确定CMF作为质量计的影响量值。其次,对其计量特性进行了表征。为此,一台4英寸直管商用流量计在50至165米/小时的范围内,使用粗柴油和煤油(JET - A1),相对于一个标准容器和一台双向检定仪进行了体积校准。这些校准结果与制造商使用水进行的质量校准结果是兼容的。然后验证了CMF满足法制计量的要求:允许的最大误差、线性度和重复性。观察到CMF的相对误差(以百分比表示)存在偏度,并且已经研究发现这是由于与流量计结构参数相关的系统效应所致。验证了相对误差与温度之间以及相对误差与流速之间存在线性相关性,其负斜率分别为-0.03%/°C和-0.001%/(小时/米)。