Abstract
Methods for innovative transformation of railway power supply systems are analyzed. It is shown that modern intelligent power networks represent a new quality of a mutually integrated architecture of a distributed computer environment for the control of power supply and the topology of a traction power network, which are oriented towards the accumulation of new knowledge and optimization of energy resources. To synthesize mathematical models for investigating intelligent systems, a graph of a distributed computer environment is proposed, which adequately reflects the topology of a railway power grid. The paper also proposes a differential mathematical model of a distributed computer environment of intellectualization of procedures for all-mode control of power supply and methods for determining the probabilities of states of nodes, throughput, number of busy channels, and number of failures of requests for service.
Similar content being viewed by others
References
O. I. Stasiuk, L. L. Goncharova, and V. F. Maxymchuk, “Methods of railway smart grids organizations based on the SMART Grid concept,” Information Management Systems for Rail Transport, No. 2, 29–37 (2014).
A. I. Stasiuk and L. L. Goncharova, “Mathematical models and methods of the analysis of computer networks of control of power supply of railways traction substations,” Journal of Automation and Information Sciences, Vol. 49 No. 2, 50–60 (2017).
A. I. Stasiuk and L. L. Goncharova, “Mathematical models of computer intellectualization of technologies for synchronous phasor measurements of parameters of electric networks,” Cybernetics and Systems Analysis, Vol. 52, No. 5, 825–830 (2016).
A. I. Stasiuk and L. L. Goncharova, “Differential mathematical models to investigate the computer network architecture of an all-mode system of control over a distance of railways,” Cybernetics and Systems Analysis, Vol. 53, No. 1, 157–164 (2017).
O. F. Butkevych, A. V. Levkonyuk, and O. I. Stasiuk, “Increasing the reliability of monitoring the acceptability of workloads of controlled cutsets of power systems,” Technical Electrodynamics, No. 2, 56–67 (2014).
V. N. Opanasenko and S. L. Kryvyi, “Partitioning the full range of Boolean functions based on the threshold and threshold relation,” Cybernetics and Systems Analysis, Vol. 48, No. 3, 459–468 (2012).
A. I. Stasiuk and L. L. Goncharova, “Mathematical models and methods for computer control of the power supply of the railways on the basis of Pukhov’s differential transformations,” Electronic Modeling, Vol. 38, No. 4, 127–139 (2016).
V. N. Opanasenko and S. L. Kryvyi, “Synthesis of adaptive logical networks on the basis of Zhegalkin polynomials,” Cybernetics and Systems Analysis, Vol. 51, No. 6, 969–977 (2015).
E. S. Ventsel’, Operations Research [in Russian], Sov. Radio, Moscow (1972).
G. E. Pukhov, Taylor Transformations and Their Application in Electrical Engineering and Electronics [in Russian], Scientific Thought, Kyiv (1978).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Kibernetika i Sistemnyi Analiz, No. 1, January–February, 2018, pp. 184–192.
Rights and permissions
About this article
Cite this article
Stasiuk, O.I., Goncharova, L.L. Mathematical Models and Methods for Analyzing Computer Control Networks of Railway Power Supply. Cybern Syst Anal 54, 165–172 (2018). https://doi.org/10.1007/s10559-018-0017-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10559-018-0017-0