Mathematical Models and Methods of the Analysis of Computer Networks of Control of Power Supply of Railways Traction Substations

摘要

The analysis of the evolution of power supply networks of railways has showed that the solution of complex optimization problems of power consumption and improvement of railway traffic safety is possible due to intellectualization of electric power supply processes. The computer network of power supply control at the level of traction substations, which adequately displays its topology and the graph of network is offered. On the basis of differential transformations a mathematical model of computer architecture of control of traction substations power supply, as well as the methods of determining in analytical form the set of probability values of the states of the graph nodes of computer network and criteria for calculating such indicators: throughput of the nodes, the average number of requests that are processed, and the number of failures of service calls, are developed.