Abstract. The authors analyze the methods of innovative conversion of railroad power supply systems. Modern intelligent power supply networks are shown to represent a new quality of mutually integrated architecture of a distributed computer environment of power supply control and topology of traction electric network, focused on accumulating new knowledge and optimizing energy resources. For the synthesis of mathematical models of intelligence systems, the authors propose the graph of a distributed computing environment, which adequately reflects the topology of the railway electricity supply network. The paper also proposes a differential mathematical model of the distributed computer environment of intellectualization of the procedures of fully-variable power control and a set of methods to determine the probability of the state of nodes, bandwidth, the number of occupied channels, and the number of service denials.

Keywords: differential mathematical model, methods, graph, computer network architecture, intelligent networks, computer environment.