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Article information
2017 , Volume 22, ¹ 5, p.58-72
Levin A.A., Spiryaev V.A.
Investigation of frequency-selective properties of Hilbert-Huang transform and its modifications on the example of studying the self-excited pressure oscillations
In this paper, we consider the application of the Hilbert -Huang transform (HHT) to the analysis of non-stationary time series generated by self-excited pressure oscillations in the volume of boiling liquid. Applying the HHT allows to decompose the signal into a set of intrinsic mode functions (IMF) with its frequencies and amplitudes. However, the “mode mixing” problem appears in the study of time series of thermophysical nature that are using the classical HHT. Such problem arises as the presence of oscillations of very disparate amplitude in an IMF, or the presence of very similar oscillations in different IMFs. To overcome these problems, a modified HHT method (mHHT) is proposed. It performs decomposition over an ensemble of signals plus introduction of Gaussian white noise with the subsequent averaging of the obtained IMF. A comparison of the decomposition using HHT and mHHT by estimating the power spectral density of each IMF on the time series studied in the paper shows the absolute advantage of mHHT. In addition, since it is necessary to specify the input mHHT parameters that affect the quality of the decomposition, we made an additional study on their optimal choice. To evaluate the obtained sets of IMF corresponding to different input parameters, the concept of the qualitative set is formulated. It is based on the analysis of the frequency properties of IMF by estimating the spectral power density. The use of mHHT with optimally selected parameters for studying the dynamics of pressure allows qualitative identification of the IMF that corresponds to the main frequencies and mechanisms of pressure oscillations. Analysis of the obtained IMF allows us to identify two stages of the self-oscillatory process: the initial stage and the stage of developed boiling.
[full text]
Keywords: Hilbert-Huang transform, self-excited pressure oscillations, non-stationary time series
Author(s):
Levin Anatoliy Alekseevich
PhD.
Position: Head of Laboratory
Office: Melentiev Energy Systems Institute of Siberian Branch of the Russian Academy of Sciences
Address: 664033, Russia, Irkutsk, Lermontov St., 130
Phone Office: (3952)429960
E-mail: Levin@isem.irk.ru
Spiryaev Vadim Alexandrovich
Position: engineer
Office: Melentiev Energy Systems Institute of Siberian Branch of the Russian Academy of Sciences
Address: 664033, Russia, Irkutsk, Lermontov St., 130
Phone Office: (3952)500646
E-mail: errolorr@gmail.com
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Bibliography link:
Levin A.A., Spiryaev V.A. Investigation of frequency-selective properties of Hilbert-Huang transform and its modifications on the example of studying the self-excited pressure oscillations // Computational technologies. 2017. V. 22. ¹ 5. P. 58-72
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