Balance of feeder powers of DC traction substations based on Fryze’s conception
DOI:
https://doi.org/10.15802/etr.v0i12.100706Keywords:
, power, feeder line, stochastic process, current, balance, Fryze, voltage, traction substation, discrete electrical engineering.Abstract
The main aim of the paper is theoretical definition of the method and numerical calculation of the components of power balance in the feeders using the new conception based on Fryze’s power theory. The methodology uses the approaches of the “discrete electrical engineering”, theory of random processes and the time records of voltage and current in feeder lines of the DC traction substation. In addition, the probabilistic-spectral method is applied for the recorded data processing. The estimation of components of balance of feeder powers is performed using proposed method. It is show, that the average daily values of Fryze’s reactive power exceed the values of active power over a whole number of days. Therefoure, the variance of reactive power exceeds its rate for the active power in 2…2,5 times. It was proved, that the stochastic voltages and currents are the stationary ergodic processes in the first approximation. The novelty consists in the new conception of electric power balance for feeder electric circuits of the DC traction substations using Fryze’s conception. The method of “discrete electrical engineering” for estimation the components of power balance of feeder circuits with stochastic voltages and currents is investigated. The laws of time variations are determined for the total, active and reactive powers. The obtained analytical expressions of the total power components allow to perform the analysis of electric power balance for feeder lines and, in addition, for all traction substation taking into account the random technological changes of voltages and currents in the feeder lines and substation. It is recommended to predict and estimate the effectiveness of the traction substation operation using the numerical and graphical dependences of the components of feeder powers with the next developing of control algorithms for the energy flow from traction substation to electric rolling stock.
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