Izvestiya VUZ. Applied Nonlinear Dynamics
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Izvestiya VUZ. Applied Nonlinear Dynamics, 2021, Volume 29, Issue 6, Pages 892–904
DOI: https://doi.org/10.18500/0869-6632-2021-29-6-892-904
(Mi ivp454)
 

APPLIED PROBLEMS OF NONLINEAR OSCILLATION AND WAVE THEORY

Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time series

A. V. Kurbakoab, D. D. Kulminskijbc, E. I. Borovkovaabd, A. R. Kiselevad, V. V. Skazkinaa, V. I. Ponomarenkoab, M. D. Prokhorovb, B. P. Bezruchkoab, V. I. Gridnevad, A. S. Karavaevabde

a Saratov State University, Russia
b Saratov Branch of Kotelnikov Institute of Radioengineering and Electronics of RAS, Russia
c Sirius University of Science and Technology, Sochi, Russia
d Saratov State Medical University, Russia
e University Innopolis, Russia
Abstract: Purpose of this work is to of the research - Increasing the sensitivity of a method for diagnosing phase synchronization of autogenerators based on their non-stationary time series in real time, and also a comparison of the statistical properties of the proposed modification of the method with the well-known method for diagnostics of loop synchronization, which has proven itself in the analysis of experimental data. Methods. The paper compares the probabilities of the appearance of an error of the second kind of the developed modified method for diagnostics of phase synchronization with the probabilities of occurrence of an error of the second kind of the known method at equal values of sensitivity. When comparing the methods, generated test time realizations with a priori known boundaries of the phase synchronization sections are used, which repeat the statistical properties of the experimental data. It also compares the computational complexity of the two methods. Results. A modification of the method for diagnosing phase synchronization of autonomic regulation circuits in real time is proposed. It is shown that the proposed modification provides similar values of sensitivity and probability of appearance of errors of the second kind as the previously proposed approach. The developed method has less computational complexity than the previously proposed method. The values of free parameters corresponding to different values of sensitivity and probability of appearance of errors of the second kind are obtained. Conclusion. The area of application of the developed method with modification is formulated. The low computational complexity of the proposed method, as well as the possibility of switching devices to integer computations in calculations, makes it possible to use it for wearable registrations performing calculations in real time, based on small-sized low-power processors that do not support floating-point arithmetic operations.
Keywords: phase synchronization, sensitivity, specificity, oscillator, time series, nonstationarity.
Funding agency Grant number
Russian Foundation for Basic Research 20-02-00702
Ministry of Science and Higher Education of the Russian Federation МК-2723.2021.4
НШ-2594.2020.2
This work was supported by the Russian Foundation for Basic Research, Grant No 20-02-00702, by the President of the Russian Federation, Grant No. MK-2723.2021.4, by the President of the Russian Federation, Grant No. NS-2594.2020.2
Received: 21.04.2021
Bibliographic databases:
Document Type: Article
UDC: 530.182, 537.86
Language: Russian
Citation: A. V. Kurbako, D. D. Kulminskij, E. I. Borovkova, A. R. Kiselev, V. V. Skazkina, V. I. Ponomarenko, M. D. Prokhorov, B. P. Bezruchko, V. I. Gridnev, A. S. Karavaev, “Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time series”, Izvestiya VUZ. Applied Nonlinear Dynamics, 29:6 (2021), 892–904
Citation in format AMSBIB
\Bibitem{KurKulBor21}
\by A.~V.~Kurbako, D.~D.~Kulminskij, E.~I.~Borovkova, A.~R.~Kiselev, V.~V.~Skazkina, V.~I.~Ponomarenko, M.~D.~Prokhorov, B.~P.~Bezruchko, V.~I.~Gridnev, A.~S.~Karavaev
\paper Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time series
\jour Izvestiya VUZ. Applied Nonlinear Dynamics
\yr 2021
\vol 29
\issue 6
\pages 892--904
\mathnet{http://mi.mathnet.ru/ivp454}
\crossref{https://doi.org/10.18500/0869-6632-2021-29-6-892-904}
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