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Uncertainty analysis for different virtual pump water flow meters

机译：不同虚拟泵水流量计的不确定性分析

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摘要

The water flow rate through a pump can be calculated using other measured inputs, such as pump head, motor input power, and frequency, along with calibrated characteristic curves. Currently virtual pump flowmeters can be classified into three categories-pump head based, shaft power based, and pump efficiency based-based on which measured inputs and characteristic curves are applied. Thus, different virtual meters may have different flow measurement errors propagated from different measured inputs and curve fittings. This article aims to evaluate the measurement uncertainties of these three virtual meters. First, mathematical models of virtual flow measurement and uncertainty analysis are introduced for three virtual meters. Then through experiments on a 125 m(3)/h pump, three virtual meters are developed and the uncertainties of the developed virtual meters are evaluated. Finally, the water flow rates measured by three virtual meters are compared with those measured by an ultrasonic flowmeter. Both the uncertainty analysis and flow measurement comparison show that the pump head-based and shaft power-based virtual meters have unacceptable uncertainties, 13 m(3)/h and 17 m(3)/h, respectively, at lower frequencies due to the mismatch between the pump speed and motor input frequency. In contrast, the pump efficiency-based virtual meter always remains a robust accuracy with uncertainties less than 1.9 m(3)/h.
机译：通过泵的水流速率可以使用其他测量输入来计算，例如泵头，电机输入功率和频率，以及校准的特性曲线。目前，虚拟泵流量计可以分为基于三类泵头，基于轴功率和泵效率基于哪些测量的输入和特性曲线。因此，不同的虚拟仪表可以具有从不同测量的输入和曲线配件传播的不同流量测量误差。本文旨在评估这三个虚拟仪表的测量不确定性。首先，引入了三个虚拟仪表的虚拟流量测量和不确定性分析的数学模型。然后通过在125米（3）/ H泵上的实验中，开发了三个虚拟仪表，评估了发达的虚拟仪表的不确定性。最后，将三个虚拟仪表测量的水流率与超声波流量计测量的那些进行比较。不确定性分析和流量测量比较表明，基于泵头和轴功率的虚拟仪具有不可接受的不确定性，分别在较低频率下具有13m（3）/ h和17m（3）/ h，因此泵速和电机输入频率之间不匹配。相比之下，基于泵的虚拟仪表始终保持稳健的精度，不确定度小于1.9米（3）/ h。

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