Wave Propagation in Overhead Wires with Ground Return

Carson, John R.

doi:10.1002/j.1538-7305.1926.tb00122.x

Cited by 1,171 publications

(465 citation statements)

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“…field calculation with correction by Cooray [37] according to the remarks by Wait [38]. Concerning the effect of the ground resistivity in the calculation of the line parameters, with particular reference to the ground transient resistance, the Carson expression [39] is used. Indeed, as in the LIOV code all above-mentioned models are implemented in the time domain, the ground transient resistance formula derived by Timotin [40] which corresponds to the Carson formula is used.…”

Section: Discussionmentioning

confidence: 99%

Effect of tall instrumented towers on the statistical distributions of lightning current parameters and its influence on the power system lightning performance assessment

Borghetti¹,

Nucci²,

Paolone³

2003

Int Trans Elec Energy Syst

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Abstract-Statistical distributions of lightning current amplitude, time-to-peak value and other lightning current parameters, used in power system insulation coordination, are based on experimental data obtained by means of tall instrumented towers. It is, however, generally accepted that these distributions are affected by the presence of the tower due to its attractive radius. Current amplitudes, in particular, are biased towards higher values with respect to those that would refer to flashes at ground. In this paper we propose a procedure, based on the Monte Carlo method, that allows to infer the statistical distributions of lightning current parameters at ground level starting from the 'classical' ones, i.e. those obtained from data measured using tall instrumented towers. The procedure is more general than others proposed in the literature for the same purpose, in that it can be applied whatever attractive radius expression is used. The procedure is applied to quantify the tower bias on the classical statistical distribution of lightning current amplitude for a number of available attractive radius expressions. Additionally, the comparison between the indirect-lightning performances of an overhead line, inferred by adopting both the classical, toweraffected, and the unaffected statistical distributions at ground of the lightning current amplitude, is given.

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Section: Discussionmentioning

confidence: 99%

Effect of tall instrumented towers on the statistical distributions of lightning current parameters and its influence on the power system lightning performance assessment

Borghetti¹,

Nucci²,

Paolone³

2003

Int Trans Elec Energy Syst

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“…Applying infinite series expressions for the latter functions, new series expansions were derived for the electric and magnetic fields in this paper. It is essential that the expressions also concern the magnetic field components, while the well-known old Carson [1926] equations generally used in electrical engineering studies only refer to the electric field.…”

Section: Discussionmentioning

confidence: 99%

“…The height of an electrojet is about 100 km. Carson [1926] presented a fundamental treatment on overhead electrical wires commonly used in engineering studies.…”

Section: Introductionmentioning

confidence: 99%

Series expansions for the electric and magnetic fields produced by a line current source

Pirjola¹

1998

Radio Science

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Abstract. The electric and magnetic fields that an overhead infinitely long line current produces at the surface of the Earth can be expressed as inverse Fourier integrals over a horizontal wave number. In the quasi-static approximation acceptable in most applications and assuming a uniform Earth, expressions in terms of the Neumann and Struve functions are also possible. These are further developed in this paper, resulting in new infinite series expansions, not presented before, for the electric and magnetic fields. An application of the series expansions will remove the need to calculate the standard integral expressions, and performing exact numerical computations will be straightforward. Besides, it should be noted that calculations in the

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“…Above mentioned self and mutual impedances (including the ground return path) for the loops involving filaments of the phase conductors and shields, as well as the various mutual impedances involved, are computed on the basis of the well-known Carson theory (simple closedform approximations for the overhead wires in the lowfrequency range are used), see e.g., [12,16,18,19,20,21,22]. It should be mentioned that the resistance of each of the filaments involved is taken as a function of the operating temperature; phase conductors and shields will have different operating temperatures (although they might be of the same material).…”

Section: Current Distributionmentioning

confidence: 99%

Coupled Electromagnetic and Thermal Analysis of Single-Phase Insulated High-Current Busducts and GIL Systems

Sarajčev¹,

Martinac²,

Radic³

2013

AJEEE

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This paper presents a mathematical model for the coupled electromagnetic and thermal analysis of the single-phase insulated high-current busducts of circular cross-section geometry and of gas-insulated transmission lines (GIL). The mathematical model, accompanied by a numerical solution procedure, features an exact current distribution in phase conductors and shields of the busduct or GIL system, accounting for the skin and proximity effects, and including the complete electromagnetic coupling between phase conductors and shields. The current distribution is based on the conductor filament method in combination with the mesh-current method. The mathematical model further couples the analysis of current distribution with the computation of (Joule) power losses and subsequent temperature increase in the high-current busducts or GIL systems, accounting for the material properties (electrical conductivity, thermal emission and convection coefficients) as well as for the surrounding ambient properties (ambient temperature, wind and solar radiation influences).

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Wave Propagation in Overhead Wires with Ground Return

Cited by 1,171 publications

References 0 publications

Effect of tall instrumented towers on the statistical distributions of lightning current parameters and its influence on the power system lightning performance assessment

Effect of tall instrumented towers on the statistical distributions of lightning current parameters and its influence on the power system lightning performance assessment

Series expansions for the electric and magnetic fields produced by a line current source

Coupled Electromagnetic and Thermal Analysis of Single-Phase Insulated High-Current Busducts and GIL Systems

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