MATHEMATICAL MODELS AND METHODS FOR COMPUTER CONTROL OF THE POWER SUPPLY OF RAILWAYS ON THE BASIS OF PUKHOV’S DIFFERENTIAL TRANSFORMATIONS

O.I. Stasiuk, L.L. Goncharova

Èlektron. model. 2018, 38(4):123-135
https://doi.org/10.15407/emodel.38.04.123

ABSTRACT

The results of the analysis of the current state of scientific research in the sphere of intellectualization of railway electrical networks are presented. It is shown that urgent problem is the creation of progressive mathematical models and methods of formation of new knowledge by increasing the level of informativeness of the initial data. A set of advanced differential mathematical models has been developed based on the mathematical apparatus of differential transformation for determining the informativeness level of the data obtained as a result of synchronous recording of abnormal modes of the power supply systems. The computer-based methods have been proposed for organizing computational process with the use of differential images for spectral and correlation analysis of initial information.

KEYWORDS

mathematical models, differential transformations, intellectualization, stochastic processes, optimization, intelligent information processing.

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