Modeling and Simulation of AC Railway Electric Supply Lines Including Ground Return

Ceraolo, Massimo

doi:10.1109/tte.2017.2765205

Cited by 19 publications

(9 citation statements)

References 19 publications

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“…

I_{EW}

is the traction return‐current in the EW. Since the power frequency used by the traction power supply is much less than 4 MHz, it satisfies the validity of the Carson theory under the assumption of linear soil with uniform resistivity and ignoring the displacement current through the soil [29, 30], we can figure out

Z_{i} = π^{2} f \times 10^{- 4} + j 0.00289 f \log \frac{D_{g}}{d}

where the unit of mutual impedance

Z_{i}

Ω / km

;

f

is the frequency of traction return‐current, that is, the power frequency 50 Hz;

D_{normalg} = 660 \sqrt{ρ / f} m

is the equivalent depth of the line, and

ρ

is the earth resistivity (Table 1 shows the simplified tabulation of earth resistivity [31]. We take the average condition);

d

is the distance between the interference line and the signal cable.…”

Section: Theoretical Derivation and Calculationmentioning

confidence: 99%

An improved quantitative assessment method on hazardous interference of power lines to the signal cable in high‐speed railway

Liu

Yang

Cui

et al. 2021

IET Electrical Syst in Trans

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High-speed railway (HSR) presents the characteristics of a heavy load, large traction current, and ballastless track-bed. As the 'neural network' of the signalling system, the line-side signal cable may threaten both human safety and control information transmission for an HSR operation when interfered with by a strong traction current. This study comprehensively investigates the electromagnetic interference (EMI) factors of the traction power supply system (TPSS) and the integrated earthing system (IES) to a signal cable and completes the electromagnetic coupling mechanism analysis of longitudinal electromotive force (LEF). Then, an improved theoretical calculation method is proposed for the multi-conductor power line network of the HSR instead of the traditional look-up table method. Regarding the essential influence of different earthing methods and cable laying conditions, the quantitative calculation of the LEF on the cable is evaluated. The validity of the theoretical method is verified through finite element simulation. Finally, the solutions to suppress the EMI are put forward for cable laying. This work provides an accurate quantitative basis for the implementation of the on-site LEF test, is significant for the design of cable laying schemes in railway engineering, and is also beneficial to ensure the safe operation of HSR.

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“…

I_{EW}

Z_{i} = π^{2} f \times 10^{- 4} + j 0.00289 f \log \frac{D_{g}}{d}

where the unit of mutual impedance

Z_{i}

Ω / km

;

f

is the frequency of traction return‐current, that is, the power frequency 50 Hz;

D_{normalg} = 660 \sqrt{ρ / f} m

is the equivalent depth of the line, and

ρ

is the earth resistivity (Table 1 shows the simplified tabulation of earth resistivity [31]. We take the average condition);

d

is the distance between the interference line and the signal cable.…”

Section: Theoretical Derivation and Calculationmentioning

confidence: 99%

An improved quantitative assessment method on hazardous interference of power lines to the signal cable in high‐speed railway

Liu

Yang

Cui

et al. 2021

IET Electrical Syst in Trans

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“…In addition, a tool based on Matlab and Labview is used to represent the results. Another static study presented in [108] and developed with Modelica language is applied to high speed railways and is able to consider all possible paths of the return current through ground, rails and other ground conductors. The proposed model is designed to be applied in power quality and power-frequency studies.…”

Section: B Specific Cases Of Use Of Simulation Tools and Modelsmentioning

confidence: 99%

A review of railway feeding infrastructures: Mathematical models for planning and operation

et al. 2020

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In this paper, the authors review the mathematical models, simulation and analysis techniques and energy management systems proposed for railway power supply systems. The authors review both AC and DC railway feeding systems making special emphasis in those that consider new technologies like on-board or wayside energy storage, integration of renewable energies in the traction networks or the use of power electronic devices to increase the efficiency and controllability of the networks. The paper is divided in two main blocks studying DC and AC systems. In both parts, a review of the main simulation tools and models is presented but also a detailed list of specific cases of use of such techniques.

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“…In the case of railways, current is dispersed to ground along large lengths of rails, and mixing this phenomenon with Carson's model is tricky. This has been approached in [17]. Since it proposes an approach that was not proven formally and for which experimental verification is missing, this is not used here.…”

Section: Parametric Analysismentioning

confidence: 99%

Parametric analysis of 2 × 25 kV railway electric supply

Barsali

Ceraolo

Lutzemberger

et al. 2020

IET Electrical Systems in Transportation

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The most common system for railway high-speed lines electric supply and the somehow de-facto standard is a special AC industrial frequency system called 2 × 25 kV system. Although several studies exist showing the performance of this system in frequency and time domains, there is a lack of studies analysing how geometric parameters influence the system behaviour, mainly in terms of conductor currents. This study first introduces a simple analytic model able to explain the fundamental feats of 2 × 25 kV systems, then evaluates the effects of critical electrical and geometrical parameters on this behaviour based on mathematical relationships and numerical computations. This simple model allows understanding the main reasons why this system is able to transmit power as a 50 kV system, while trains experience just 25 kV. Nomenclature Ra, Rb rails 2 System architecture and the proposed model The two-track geometrical arrangement of a typical 2 × 25 kV system is shown on the left part of Fig. 3, which has been drawn from Dolara et al. [7]. There are several conductors with different Fig. 1 Simplified representation of the 2 × 25 kV supply system

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Modeling and Simulation of AC Railway Electric Supply Lines Including Ground Return

Cited by 19 publications

References 19 publications

An improved quantitative assessment method on hazardous interference of power lines to the signal cable in high‐speed railway

An improved quantitative assessment method on hazardous interference of power lines to the signal cable in high‐speed railway

A review of railway feeding infrastructures: Mathematical models for planning and operation

Parametric analysis of 2 × 25 kV railway electric supply

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