Application of empirical mode decomposition based energy ratio to vortex flowmeter state diagnosis

Abstract

To improve the measurement performance, a method for diagnosing the state of vortex flowmeter under various flow conditions was presented. The raw sensor signal of the vortex flowmeter was adaptively decomposed into intrinsic mode functions using the empirical mode decomposition approach. Based on the empirical mode decomposition results, the energy of each intrinsic mode function was extracted, and the vortex energy ratio was proposed to analyze how the perturbation in the flow affected the measurement performance of the vortex flowmeter. The relationship between the vortex energy ratio of the signal and the flow condition was established. The results show that the vortex energy ratio is sensitive to the flow condition and ideal for the characterization of the vortex flowmeter signal. Moreover, the vortex energy ratio under normal flow condition is greater than 80%, which can be adopted as an indicator to diagnose the state of a vortex flowmeter.

Keywords

flow state diagnosis / energy ratio / vortex flowmeter / empirical mode decomposition

References

[1] TavoularisS.Measurement in fluid mechanics [M], 2005, New York, Cambridge University Press

[2] PankaninG. L.. The vortex flowmeter: various methods of investigating phenomena [J]. Measurement Science and Technology, 2005, 16(3): R1-R16

[3] WAKUI H, WADA M, YOSHIOKA T, ANDOH T. “DigitalYEWFLO multivariable type” vortex flowmeter with built-in temperature sensor [R]. Yokogawa Technical Report, 2004: 21–24.

[4] Amadi-EchenduJ. E., ZhuH.. Signal analysis applied to vortex flowmeter [J]. IEEE Transactions on Instrumentation and Measurement, 1992, 41(6): 1001-1004

[5] RossbergA. G., BartholomeK., TimmerJ.. Data-driven optimal filtering for phase and frequency of noisy oscillations: application to vortex flow metering [J]. Physical Review E, 2004, 69(1/2): 16216/1-16216/11

[6] GhaoudT., ClarkeD. W.. Modeling and tracking a vortex flow-meter signal [J]. Flow Measurement and Instrumentation, 2002, 13(3): 103-117

[7] BeraS. C., RayJ. K., ChattopadhyayS.. A modified inductive pick-up type technique of measurement in a vortex flowmeter [J]. Measurement, 2004, 35(1): 19-24

[8] HansV., PoppenG., von LavanteE., PerpeetS.. Vortex shedding flowmeters and ultrasound detection: signal processing and influence of bluff body geometry [J]. Flow Measurement and Instrumentation, 1998, 9(2): 79-82

[9] von LavanteE., PerpeetS., HansV., PoppenG.. Optimization of acoustic signals in a vortex-shedding flowmeter using numerical simulation [J]. International Journal of Heat and Fluid Flow, 1999, 20(4): 402-404

[10] IgarashiT.. Resistance and Strouhal number of a vortex shedder in a circular pipe [J]. JSME International Journal Series B, 1999, 42(4): 586-595

[11] RossbergA. G., RieglerP., BuhlF., HerwigcJ., TimmeraJ.. Detection of improper installation from the sensor signal of vortex flowmeters [J]. Flow Measurement and Instrumentation, 2004, 15(1): 29-35

[12] MiauJ. J., HuC. C., ChouJ. H.. Response of a vortex flowmeter to impulsive vibrations [J]. Flow Measurement and Instrumentation, 2000, 11(1): 41-49

[13] MiauJ. J., WuC. W., HuC. C., ChouJ. H.. A study on signal quality of a vortex flowmeter downstream of two elbows out-of-plane [J]. Flow Measurement and Instrumentation, 2002, 13(3): 75-85

[14] HuangN. E., ShenZ., LongS. R., WuM. C., ShihH. H., ZhengQ., YenN. C., TungC. C., LiuH. H.. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis [J]. Proceedings of Royal Society London Series A, 1998, 454: 903-995

[15] WuZ. H., HuangN. E.. A study of the characteristics of white noise using the empirical mode decomposition method [J]. Proceedings of Royal Society London Series A, 2004, 460: 1597-1611

[16] FlandrinP., RillingG., GoncalvesP.. Empirical mode decomposition as a filter bank [J]. IEEE Signal Processing Letters, 2004, 11(2): 112-114

[17] SunZ.-q., ZhouJ.-m., ZhouP.. Application of Hilbert-Huang transform to denoising in vortex flowmeter [J]. Journal of Central South University of Technology, 2006, 13(5): 501-505

[18] SunZ.-q., ZhangH.-j., ZhouJ.-min.. Investigation of the pressure probe properties as the sensor in the vortex flowmeter [J]. Sensors and Actuators: A. Physical, 2007, 136(2): 646-655

[19] SunZ.-q., ZhangH.-j., ZhouJ.-min.. Evaluation of uncertainty in a vortex flowmeter measurement [J]. Measurement, 2008, 41(4): 349-356