2015 16th International Conference on Computational Problems of Electrical Engineering (CPEE) 2015
DOI: 10.1109/cpee.2015.7333358
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Methods of spectral analysis of traction voltages and currents as random functions

Abstract: -The paper shows the methods of spectral analysis of stochastic traction voltages and currents. The results of analysis are shown for the voltage, which was recorded in the process of real operation of EPL2T electric multiple-unit train.

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Cited by 2 publications
(5 citation statements)
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“…The method of a "discrete electrical engineering" has to be used for ergodic processes of voltage and current and the correlation-dispersion method may be used in case of non-ergodic processes. The last one is based on the application of auto-and cross-correlation functions [13]. This method allows to estimate the effectiveness regenerative braking and energy loss in the electric transport system with high precision.…”
Section: Discussionmentioning
confidence: 99%
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“…The method of a "discrete electrical engineering" has to be used for ergodic processes of voltage and current and the correlation-dispersion method may be used in case of non-ergodic processes. The last one is based on the application of auto-and cross-correlation functions [13]. This method allows to estimate the effectiveness regenerative braking and energy loss in the electric transport system with high precision.…”
Section: Discussionmentioning
confidence: 99%
“…The voltages and currents are the stochastic processes (Fig. 1), especially in the RBM [12][13][14]. The DC locomotives and multiple-unit trains are equipped with the AMPs of electromagnetic or ferrodynamic types, while new vehicles are equipped with digital meters [15].…”
Section: Recovered Energy Evaluationmentioning
confidence: 99%
“…Let us substitute (16) with the formula of spectral density of the n-th rectangular pulse [20], then Then, let us change the order of integration and addition in (18). We should also consider the filtering property of the delta function, which is that if this function is present in the integral as a multiplier, then the integration result will be equal to the value of another integral function (or expression) at the point (moment of time) where the delta function is concentrated, regardless of the limits of integration.…”
Section: Methods For Estimating Of Spectra Of Randommentioning
confidence: 99%
“…So, as it was done in the first method, let us perform sampling of the pulse function a(t) with the interval of Δt. Then, the values a n =a(n•Δt) are the reference values of already periodic analogue function in the form of a sequence of delta function, "weighed" by reference a(n•Δt) of the analogue function a(t): Taking into account the filtering effect of the delta function, (16) takes the following form:…”
Section: Methods For Estimating Of Spectra Of Randommentioning
confidence: 99%
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