Study on the Influences of Multiple Parameters With Uncertainty in the Clamp-On Ultrasonic Flowmeter

For a clamp-on ultrasonic flowmeter based on transit-time differential method, the flow rate calculation model with flow velocity correction is established and verified by experiments carried out in a flow standard facility. Based on established flow rate calculation model, a systematic methodology incorporating the parametric uncertainty distribution is proposed to analyze the influences of multiple parameters with uncertainty on measurement error by establishing the sample-based stochastic model. Monte Carlo sampling (MCS) method is used to randomly select the value of each parameter from its prescribed Gaussian distribution and then combining them together as one sample, and the number of selected samples is determined by conducting stochastic convergence analysis of mean value and the standard deviation of input and output parameters. And finally the influence degrees of multiple parameters are analyzed and compared quantitatively on the same dimension to find out which parameters are influential and which are negligible. The results reveal the different influences of multiple parameters with uncertainty, which can be used as reference for performance improvement and measuring error analysis of the clamp-on ultrasonic flowmeter in industrial local measurement.

[1]  Edward S. Rubin,et al.  Stochastic modeling of chemical processes , 1991 .

[2]  A. Mawardi,et al.  Numerical Simulations of an Optical Fiber Drawing Process Under Uncertainty , 2008, Journal of Lightwave Technology.

[3]  Hae-Man Choi,et al.  Correction of flow metering coefficients by using multi-dimensional non-linear curve fitting , 2012 .

[4]  Roger C. Baker,et al.  Further Studies of the Accuracy of Clamp-on Transit-Time Ultrasonic Flowmeters for Liquids , 2009, IEEE Transactions on Instrumentation and Measurement.

[5]  Frederic Cegla,et al.  The Effect of Internal Pipe Wall Roughness on the Accuracy of Clamp-On Ultrasonic Flowmeters , 2019, IEEE Transactions on Instrumentation and Measurement.

[6]  A. Mawardi,et al.  Effects of parameter uncertainty on the performance variability of proton exchange membrane (PEM) fuel cells , 2006 .

[7]  Oliver Millán-Blasco,et al.  Zero-Flow Offset Variation in Ultrasonic Clamp-On Flowmeters Due to Inhomogeneity and Nonlinearity of Pipe Materials , 2017, IEEE Transactions on Instrumentation and Measurement.

[8]  D. Hsu,et al.  Pitch-catch ultrasonic study on unidirectional CFRP composite laminates using Rayleigh wave transducers , 2012 .

[9]  Yuwen Zhang,et al.  Analysis of phase drift based on uncertainty analysis in electro-thermal excited MEMS resonant sensor , 2017 .

[10]  L. Lynnworth,et al.  Ultrasonic flowmeters: half-century progress report, 1955-2005. , 2006, Ultrasonics.

[11]  Hao Peng,et al.  Uncertainty Analysis of Solid-Liquid-Vapor Phase Change of a Metal Particle Subject to Nanosecond Laser Heating , 2013 .

[12]  J. Rose.  Ultrasonic Waves in Solid Media , 1999 .

[13]  N Bignell,et al.  Recommended table for the density of water between 0 ?C and 40 ?C based on recent experimental reports , 2001 .

[14]  Jinhao Sun,et al.  Design and optimization of a resonant output frequency gyroscope for robust sensitivity and bandwidth performance , 2016 .

[15]  M. L. Sanderson,et al.  Guidelines for the use of ultrasonic non-invasive metering techniques , 2002 .

[16]  Poong Hyun Seong,et al.  Estimation of the flow profile correction factor of a transit-time ultrasonic flow meter for the feedwater flow measurement in a nuclear power plant , 2005, IEEE Transactions on Nuclear Science.

[17]  Matthew R. Myers,et al.  A model for unsteady analysis of preform drawing , 1989 .

[18]  Sanjay Yadav,et al.  Design and development of a novel water flow measurement system , 2017 .

[19]  M. McLinden,et al.  NIST Standard Reference Database 23: Reference Fluid Thermodynamic and Transport Properties-REFPROP, Version 8.0 , 2007 .

[20]  Yuwen Zhang,et al.  Uncertainty analysis of thermal damage to living biological tissues by laser irradiation based on a generalized duel-phase lag model , 2017 .

[21]  Elsa Batista,et al.  The selection of water property formulae for volume and flow calibration , 2008 .

[22]  W. Kang,et al.  Assessment of combined V/Z clamp-on ultrasonic flow metering , 2014 .

[23]  Anett Bailleu.  Ultrasonic transducer positioning system for clamp-on flowmeter applications , 2016, 2016 IEEE Sensors Applications Symposium (SAS).

[24]  Ranga Pitchumani,et al.  Cure Cycle Design for Thermosetting-Matrix Composites Fabrication under Uncertainty , 2004, Ann. Oper. Res..

[25]  Jinhao Sun,et al.  Nonlinear dynamics study based on uncertainty analysis in electro-thermal excited MEMS resonant sensor , 2015 .

[26]  Ranga Pitchumani,et al.  Stochastic modeling of nonisothermal flow during resin transfer molding , 1999 .

[27]  B Iooss,et al.  Numerical simulation of transit-time ultrasonic flowmeters: uncertainties due to flow profile and fluid turbulence. , 2002, Ultrasonics.

[28]  Rumei Zhang,et al.  Studies on the transducers of clamp-on transit-time ultrasonic flow meter , 2014, 2014 4th IEEE International Conference on Information Science and Technology.