The analysis of the problem of innovative transformation of power supply networks of railways made it possible to scientifically substantiate the direction of research related to an optimal strategy for computer monitoring and intellectualization of the processes of power supply of traction substations of railways. Conceptual approaches to the formation of a new model of intellectualization of power supply networks have been developed. Differential models of high organization of synchronous vector measurements are proposed, allowing to determine the comprehensive information content of the primary data. Based on the concept of smart energy, a set of differential models and methods of harmonic and correlation analysis of anomalous and transient processes occurring in power systems has been developed. The REGINA computer system has been designed and manufactured to carry out, in real-time, intelligent monitoring, diagnostics, identification of accidents, optimization of power consumption and expanding the range of market services in managing railway power supply networks. The REGINA system complies with the requirements of ISO 9001: 2015 and the German certification body DOS. Many actual results obtained during the operation of the REGINA on the railways are presented.