Mathematical Models and Methods for Analyzing Computer Control Networks of Railway Power Supply

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.