Імовірнісно-статистичний і кореляційно-спектральний аналізи струму рекуперації електрорухомого складу постійного струму

A. V. Nikitenko; M. O. Kostin

doi:10.15802/stp2014/25818

Authors

A. V. Nikitenko Dep. «Electrical Engineering and Electromechanics», Dnipropetrovsk National University of Railway Transport named after Аcademician. V. Lazaryan, Lazayan St., 2, Dnipropetrovsk, Ukraine, 49010, tel. +38 (056) 373 15 37, e-mail nikiten-ko.diit@gmail.com, ORCID 0000-0002-6426-5097, Ukraine https://orcid.org/0000-0002-6426-5097
M. O. Kostin Dep. «Electrical Engineering and Electromechanics», Dnipropetrovsk National University of Railway Transport named after Аcademician. V. Lazaryan, Lazayan St., 2, Dnipropetrovsk, Ukraine, 49010, tel. +38 (056) 373 15 37, ORCID 0000-0002-0856-6397, Ukraine https://orcid.org/0000-0002-0856-6397

DOI:

https://doi.org/10.15802/stp2014/25818

Keywords:

method, stochastic process, voltage, current, correlation function, electric transport, dispersion, spectrum, recuperation

Abstract

Purpose. Defining and analysis of the probabilistic and spectral characteristics of random current in regenerative braking mode of DC electric rolling stock are observed in this paper. Methodology. The elements and methods of the probability theory (particularly the theory of stationary and non-stationary processes) and methods of the sampling theory are used for processing of the regenerated current data arrays by PC. Findings. The regenerated current records are obtained from the locomotives and trains in Ukraine railways and trams in Poland. It was established that the current has uninterrupted and the jumping variations in time (especially in trams). For the random current in the regenerative braking mode the functions of mathematical expectation, dispersion and standard deviation are calculated. Histograms, probabilistic characteristics and correlation functions are calculated and plotted down for this current too. It was established that the current of the regenerative braking mode can be considered like the stationary and non-ergodic process. The spectral analysis of these records and “tail part” of the correlation function found weak periodical (or low-frequency) components which are known like an interharmonic. Originality. Firstly, the theory of non-stationary random processes was adapted for the analysis of the recuperated current which has uninterrupted and the jumping variations in time. Secondly, the presence of interharmonics in the stochastic process of regenerated current was defined for the first time. And finally, the patterns of temporal changes of the correlation current function are defined too. This allows to reasonably apply the correlation functions method in the identification of the electric traction system devices. Practical value. The results of probabilistic and statistic analysis of the recuperated current allow to estimate the quality of recovered energy and energy quality indices of electric rolling stock in the regenerative braking mode. But the correlation and spectral analysis is required to determine the electromagnetic compatibility of the electric rolling stock in the regenerative braking mode with the subsystems and the electric traction devices.

Author Biographies

A. V. Nikitenko, Dep. «Electrical Engineering and Electromechanics», Dnipropetrovsk National University of Railway Transport named after Аcademician. V. Lazaryan, Lazayan St., 2, Dnipropetrovsk, Ukraine, 49010, tel. +38 (056) 373 15 37, e-mail nikiten-ko.diit@gmail.com, ORCID 0000-0002-6426-5097

А. В. Нікітенко

M. O. Kostin, Dep. «Electrical Engineering and Electromechanics», Dnipropetrovsk National University of Railway Transport named after Аcademician. V. Lazaryan, Lazayan St., 2, Dnipropetrovsk, Ukraine, 49010, tel. +38 (056) 373 15 37, ORCID 0000-0002-0856-6397

М. О. Костін

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