A NEW MATHEMATICAL MODEL OF DYNAMIC PROCESSES IN DIRECT CURRENT TRACTION POWER SUPPLY SYSTEM

A NEW MATHEMATICAL MODEL OF DYNAMIC PROCESSES IN DIRECT CURRENT TRACTION POWER SUPPLY SYSTEM

A new autonomous 4D nonlinear model with two nonlinearities describing the dynamics of change of voltage and current in the contact railway electric network is offered. This model is a connection of two 2D oscillatory circuits for current and voltage in the contact electric network. In the found sys...

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Bibliographic Details
Main Authors: Vasiliy Ye. Belozyorov, Yevhen M. Kosariev, Mykola M. Pulin, Viktor G. Sychenko, Vadym G. Zaytsev
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2019-03-01
Series:Journal of Optimization, Differential Equations and Their Applications
Subjects:
Time series
polynomial models
chaos
four-dimensional chaotic system
time-delayed embedding
multidimensional recurrence quantification analysis
voltage stabilization
Online Access:https://model-dnu.dp.ua/index.php/SM/article/view/133
Description
Summary:A new autonomous 4D nonlinear model with two nonlinearities describing the dynamics of change of voltage and current in the contact railway electric network is offered. This model is a connection of two 2D oscillatory circuits for current and voltage in the contact electric network. In the found system for the defined values of parameters an existence of limit cycles is proved. By introduction of new variables this system can be reduced to 5D system only with one quadratic nonlinearity. The constructed model may be used for the control by voltage stability in a direct current power supply system.
ISSN:2617-0108
2663-6824

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