Abstract

In France, high-speed railway lines are powered by a 2 × 25 kV/50 Hz electrification system. The substations include two single-phase transformers connected to the high-voltage electrical transmission network on different pairs of phases according to a so-called “V-connection scheme”. In practice, due to the large variations in the power absorbed by the trains, this connection does not make it possible to satisfactorily limit the unbalance in the three-phase voltages. In order to correctly size a balancing system to be associated with the substation, it is necessary to calculate, with precision, the voltage unbalance factor as a function of the power drawn by the trains. In its first part, this paper presents modelling of the substation and proposes an algorithm which allows for the calculation of the upstream line voltage as a function of the power consumption at the secondary of the transformers. The voltage unbalance factor can then be determined over a long period of operation. In the second part of this paper, the same approach is applied with an unbalance-compensator based on Steinmetz circuits controlled by AC choppers. Finally, in both cases, the results of the calculations are validated by simulations performed with PLECS simulation software.

Highlights

  • IntroductionThe systemwas wasfirst firstused usedinin19721972ononthe the ShinkanThe “2 “2 ××25 25kV”kV”railway railway electrification electrification systemShinkansen sen Tokaido high-speed line inJapan, connecting the cities ofOsaka and YokohamaTokaido high-speed line in Japan, connecting the cities of Osaka and Yokohama [1].[1]

  • 1, arelies on a speed railway line inline principle, as presented in Figurein1,Figure relies on three-wire three-wire the substation utilizes a single-phase transformer two secondary circuit: thecircuit: substation utilizes a single-phase transformer with two with secondary windings windings whichthe supply the contact-line andwire a feed wire with voltages in phase-opposition

  • The of parameters thishigh-voltage impedance are calculated from sented in Figure constitutes the basis this study.ofThe electrical transmisthe values of the short-circuit powers given by the at the interconnection points of sion network is modeled as an ideal three-phase voltage source with a positive phasethe traction substations

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Summary

Introduction

Tokaido high-speed line in Japan, connecting the cities of Osaka and Yokohama [1].[1]. Power supply system installed for first the first onParis–Lyon the Paris–Lyon. Thisthis power supply system waswas installed for the timetime on the highhigh-speed railway. Principle, as presented in Figurein1,Figure relies on three-wire three-wire the substation utilizes a single-phase transformer two secondary circuit: thecircuit: substation utilizes a single-phase transformer with two with secondary windings windings whichthe supply the contact-line andwire a feed wire with voltages in phase-opposition. Which supply contact-line and a feed with voltages in phase-opposition. AutoAutotransformers, regularly distributed along the line, boost the contact line voltage. Transformers, regularly distributed along the line, boost the contact line voltage. Note: stays neupublished maps and institutional affiltral with regard to jurisdictional iations. Claims in published maps and institutional affiliations

Principle
Method for the Voltage
Diagram
Method Description
Optimization
Calculation of Voltage Unbalance Factor
Calculation of the VUF over a Long Period
Number
Voltage
10. Equivalent
Findings
Conclusions
Full Text
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