Electromagnetic Coupling to Transmission Lines

Lee, K. S. H.

doi:10.1080/02726348808908211

Cited by 5 publications

(4 citation statements)

References 6 publications

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“…ATLOG can also treat other kinds of EMP excitation, such as source region EMP [17], as well as various terminating loading conditions [18], but these are not discussed in this manuscript. If we have an aerial line with height h = 10 m and we take the radius to be small a = 1 cm then the electric field at wire surface exceeds the corona threshold E c = 4.5 MV/m [19][20][21] for V ≥ 340 kV (corresponding to about I ≥ 0.8 kA). Alternatively, if we consider a maximum voltage of V = 3.2 MV the corona threshold is reached when the radius is less than a c = 0.15 m. Therefore, the initial peak for maximum coupling parameters is expected to exceed the corona threshold and result in additional losses.…”

Section: Introductionmentioning

confidence: 99%

“…Alternatively, if we consider a maximum voltage of V = 3.2 MV the corona threshold is reached when the radius is less than a c = 0.15 m. Therefore, the initial peak for maximum coupling parameters is expected to exceed the corona threshold and result in additional losses. Corona [19][20][21] and other nonlinear breakdown effects will not be discussed further in this paper.…”

Section: Introductionmentioning

confidence: 99%

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Decay Length Estimation of Single-, Two-, and Three-Wire Systems Above Ground Under Hemp Excitation

Campione¹,

Warne²,

Halligan³

et al. 2019

PIER B

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We analytically model single-, two-, and three-wires above ground to determine the decay lengths of common and differential modes induced by an E1 high-altitude electromagnetic pulse (HEMP) excitation. Decay length information is pivotal to determine whether any two nodes in the power grid may be treated as uncoupled. We employ a frequency-domain method based on transmission line theory named ATLOG-Analytic Transmission Line Over Ground to model infinitely long and finite single wires, as well as solve the eigenvalue problem of a single-, two-, and three-wire system. Our calculations show that a single, semi-infinite power line can be approximated by a 10 km section of line and that the second electrical reflection for all line lengths longer than the decay length are below half the rated operating voltage. Furthermore, our results show that the differential mode propagates longer distances than the common mode in two-and three-wire systems, and this should be taken into account when performing damage assessment from HEMP excitation. This analysis is a significant step toward simplifying the modeling of practical continental grid lengths, yet maintaining accuracy, a result of enormous impact.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Decay Length Estimation of Single-, Two-, and Three-Wire Systems Above Ground Under Hemp Excitation

Campione¹,

Warne²,

Halligan³

et al. 2019

PIER B

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show abstract

“…Taking the popular SPTYWPL23 16B�1.0 type internally shielded railway digital signal cable as an example, the internal structure of the cable is shown in its cross-sectional view (Figure 5). According to Section 2 and the electromagnetic induction coupling theory [27], for any single interference line current i (i ¼ 1; 2; …; n; n ¼ 6 in this study), the effective value of the LEF generated in the signal cable core is…”

Section: Improved Calculation Methodsmentioning

confidence: 99%

“…According to Section 2 and the electromagnetic induction coupling theory [27], for any single interference line current

i

(

i = 1,2, …, n,

n = 6

in this study), the effective value of the LEF generated in the signal cable core is

E_{i} = Z_{i} l_{p i} I_{t i} S = j ω M_{i} l_{p i} I_{t i} S_{normalR} S_{normalm} S_{normaln}

where

Z_{i} = j ω M_{i}

, is the mutual impedance between the

i

‐th interference line loop and the signal cable loop;

ω

is the angular frequency of the power frequency current;

M_{i}

is the mutual inductance coefficient between the

i

‐th interference line loop and the signal cable loop;

l_{p i}

is the parallel length between the

i

‐th interference line and the signal cable;

I_{t i}

is the effective value of the traction return‐current in the

i

‐th interference line;

S = S_{normalR} S_{normalm} S_{normaln}

, is the comprehensive shielding coefficient of the cable, including the effective shielding coefficients of the metal sheath, that is,

S_{normalR}

, and the co‐trough double cable (or multi‐cable), that is,

S_{normalm}

, and the shielding coefficient

S_{normaln}

of other adjacent metal conductors. Noticeably, in this study, we introduce mutual impedance, inductance etc., all referring to parameters per unit length.…”

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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UHF intermodulation product prediction in digital systems using SPICE: The need for nonlinear macromodels

Konefal

Marvin

1996

IEE Proceedings - Science, Measurement and Technology

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Electromagnetic Coupling to Transmission Lines

Cited by 5 publications

References 6 publications

Decay Length Estimation of Single-, Two-, and Three-Wire Systems Above Ground Under Hemp Excitation

Decay Length Estimation of Single-, Two-, and Three-Wire Systems Above Ground Under Hemp Excitation

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

UHF intermodulation product prediction in digital systems using SPICE: The need for nonlinear macromodels

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