Construction and investigation of a method for measuring the non-stationary pressure using a wavelet transform

Authors

DOI:

https://doi.org/10.15587/1729-4061.2019.156959

Keywords:

measurement of non-stationary pressure, inverse measurement problem, real-time measurement method, wavelet transform

Abstract

Automated control systems badly need measurements of fast-changing non-stationary physical quantities in real time, or close to that. In this area, there is a separate group of tasks on measuring the non-stationary pressure in liquids and gases.

This paper demonstrates that measuring the non-stationary pressure in real time, or close to that, represents a problem on restoring an input signal, which, in terms of mathematics, belongs to the class of ill-posed problems (according to J. Hadamard). We have derived a solution to the inverse problem of measurement that is based on a mathematical model for measuring transformation enabled by a pressure sensor. Based on this solution, we have constructed a measuring method, which implies the wavelet processing of the sensor's output signal. In this case, we suggest that such basic functions of wavelet transformation should be selected that are the modification of the pulse transition function of the sensor.

 This paper reports an experimental study into the feasibility of the developed method, based on the measurement of the simulated pressure pulse. A pressure pulse is simulated by dropping a ball of the calibrated mass onto the sensor's membrane. We have proposed a measurement scheme for determining the duration of touch between the ball and the membrane. Testing the accuracy of the method implies comparing the actual mass of the ball with that derived from the sensor's output signal. The proposed method has demonstrated high accuracy because the maximum relative error in determining the mass of the falling ball was only 0.65 %.

The proposed method for measuring the non-stationary pressure could be used in control systems that require the high-speed dynamic correction of a measurement error. Specifically, these include control system in aerospace engineering, testing complexes, military technology, scientific research

Author Biographies

Myroslav Tykhan, Lviv Polytechnic National University S. Bandery str., 12, Lviv, Ukraine, 79013

Doctor of Technical Sciences, Professor

Department of Precision Mechanics Devices

Taras Repetylo, Lviv Polytechnic National University S. Bandery str., 12, Lviv, Ukraine, 79013

PhD, Associate Professor

Department of Precision Mechanics Devices

Serhii Kliuchkovskyi, Lviv Polytechnic National University S. Bandery str., 12, Lviv, Ukraine, 79013

PhD, Associate Professor

Department of Precision Mechanics Devices

Olha Markina, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” Peremohy ave., 37, Kyiv, Ukraine, 03056

PhD, Associate Professor

Department of Scientific, Analytical and Ecological Instruments and Systems

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Published

2019-02-18

How to Cite

Tykhan, M., Repetylo, T., Kliuchkovskyi, S., & Markina, O. (2019). Construction and investigation of a method for measuring the non-stationary pressure using a wavelet transform. Eastern-European Journal of Enterprise Technologies, 1(5 (97), 28–34. https://doi.org/10.15587/1729-4061.2019.156959

Issue

Vol. 1 No. 5 (97) (2019): Applied physics

Section

Applied physics

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Copyright (c) 2019 Myroslav Tykhan, Taras Repetylo, Serhii Kliuchkovskyi, Olha Markina

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