Heterogeneous Multiscale Method for Multirate Railway Traction Systems Analysis

In this paper, a general mathematical framework for implementing multirate analysis in railway traction systems by means of the heterogeneous multiscale methods is presented. The proposed approach considers the bidirectional interaction between the trains and the electrical feeding system preserving the intrinsic coupling between electrical and mechanical variables. The procedure for accommodating different models with different dynamics and time scales is revealed, tested, and validated by means of a realistic case of study.