ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Kurbako A. V., Kulminskiy D. D., Borovkova E. I., Kiselev A. R., Skazkina V. V., Ponomarenko V. I., Prokhorov M. D., Bezruchko B. P., Gridnev V. I., Karavaev A. S. 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, 2021, vol. 29, iss. 6, pp. 892-904. DOI: 10.18500/0869-6632-2021-29-6-892-904

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Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
530.182, 537.86
DOI: 
10.18500/0869-6632-2021-29-6-892-904

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

Autors: 
Kurbako Aleksandr Vasilievich, Saratov State University
Kulminskiy Danil Dmitrievich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Borovkova Ekaterina Igorevna, Saratov State University
Kiselev Anton Robertovich, Saratov research Institute of Cardiology
Skazkina Victoria Viktorovna, Saratov State University
Ponomarenko Vladimir Ivanovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Prokhorov Mihail Dmitrievich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Bezruchko Boris Petrovich, Saratov State University
Gridnev Vladimir Ivanovich, Saratov research Institute of Cardiology
Karavaev Anatolij Sergeevich, Saratov State University
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.

Key words: 
phase synchronization
sensitivity
specificity
oscillator
time series
nonstationarity
Acknowledgments: 
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
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Received: 
21.04.2021
Accepted: 
27.10.2021
Published: 
30.11.2021
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