A detail modelling of railway electrical system with energy storages devices is developed in this thesis in order to analyze most of the implemented railway electrical system. The modelling has been realized from a point of view the design of them as from a point of view of purely energetic efficiency. In this way, after analyzing of the electric railway systems, it has been developed simple element models that have been grouped in four categories: contact line and return circuit, fix elements, mobile elements and energy recovery and storages devices. The complete systems are built from the simple element models linked. The system of equations of the complete system is no linear, and it is solved means of numeric methods. Then, it is shown the structure of Rsim software that has been developed completely as a part of this work, to conclude with two examples of the application of Rsim. The first example belongs an alternative current railway electrification and the second example is a direct current railway electrification. Keywords: DC railway system, AC railway system, railway modeling, energetic efficiency, reverse substations, energy storage devices, unbalance, rail potential, stray currents. A detail modelling of railway electrical system with energy storages devices is developed in this thesis in order to analyze most of the implemented railway electrical system. The modelling has been realized from a point of view the design of them as from a point of view of purely energetic efficiency. In this way, after analyzing of the electric railway systems, it has been developed simple element models that have been grouped in four categories: contact line and return circuit, fix elements, mobile elements and energy recovery and storages devices. The complete systems are built from the simple element models linked. The system of equations of the complete system is no linear, and it is solved means of numeric methods. Then, it is shown the structure of Rsim software that has been developed completely as a part of this work, to conclude with two examples of the application of Rsim. The first example belongs an alternative current railway electrification and the second example is a direct current railway electrification. Keywords: DC railway system, AC railway system, railway modeling, energetic efficiency, reverse substations, energy storage devices, unbalance, rail potential, stray currents.