Abstract
The traction power supply system calculation refers to specialized types of calculations, which differ significantly from other types of electric power system calculations due to the presence of a moving load, particularly, the electric rolling stock. The practice of modern calculations for traction power supply systems shows the need to use simulation modeling of the traction power supply system, in which taking into account the moving load allows calculating the necessary electric power infrastructure operating parameters for electric rail transport. The calculations complexity in simulation modeling lies in the simultaneous operation of all power plants to provide power to all electric rolling stock units, which determines a large territorial distribution of calculation sections, as well as the need to conduct a single calculation for the entire section. This article presents a new solution method that combines the loop current method and state-space analysis for modeling electric traction power supply systems. The presented flexible technique of state space equation matrices automatic formation makes it possible to minimize the matrices sizes based on contour equations, which determines several advantages for the effective solution of switched networks taking into account the moving load and nonlinear functions. In this article the concept of the electric circuit generalized branch, which is supplemented with LC components, is expanded. Using the proposed theoretical material for simple verification of the described method, equations in the state space for a two- and three-winding transformer are created, and the operation of a direct current traction substation with a 12-pulse rectification circuit is simulated. The proposed technique is intended for specialized software packages for calculating traction power supply systems with large ranges of calculation sections.
Keywords
state space, loop current method, electromagnetic transient processes, traction power supply system
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