Modelling of a 25 kV-50 Hz railway
infrastructure for harmonic analysis

This paper presents a methodology for the modelling of a 25 kV-50 Hz railway infrastructure, for frequencies from 0 to 5 kHz. It aims to quantify the amplifications of current and voltage harmonics generated by on-board converters into the infrastructure. A circuit is developed to model the skin effect in the overhead line for time-domain simulations. A new approach, based on state space representation and transfer functions, is also proposed to analyse the interactions between trains. The methodology is then applied in Matlab-Simulink and validated with EMTP-RV. Harmonic interactions between the infrastructure and on-board converters are analyzed. Then, an extension of the model is proposed for higher frequencies in order to study harmonic interactions between new on-board converters and the infrastructure.

KEYWORD: railway supply, impedance, skin effect, state space representation, harmonic interactions, EMC.

Caroline Stackler (1,2), Florent Morel (1,3), Philippe Ladoux (2), Piotr DWORAKOWSKI (1)

(1) SuperGrid Institute SAS, 23 rue Cyprian CS 50289 69628 Villeurbanne Cedex – France
First name.name@supergrid-institute.com

(2) Université de Toulouse, INPT, UPS, CNRS, LAPLACE (Laboratoire Plasma et
Conversion d’Energie), ENSEEIHT
2 rue Charles Camichel, BP 7122 F, 31071 Toulouse Cedex 7, France

(3) Université de Lyon, Ecole Centrale de Lyon, Laboratoire Ampère, UMR CNRS 5005
36 avenue Guy de Collongue, 69134 Ecully Cedex, France

Published in: European Journal of Electrical Engineering – n° 1/2014, 1-5