Magnetic field analysis of three-conductor bundles in flat and triangular configurations with the inclusion of proximity and skin effects

Machado, V. Maló; Pedro, Margarida; Faria, J. A. Brandão; Dommelen, Daniel Van

doi:10.1016/j.epsr.2011.06.010

Cited by 18 publications

(14 citation statements)

References 12 publications

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“…The underlying theory, employing radial Taylor series expansions, radial Bessel functions expansions, and azimuthal Fourier expansions are typical in problems of this kind and can be found, e.g., in [26]- [29]. It should be emphasized that the computation process involved, although purely analytical, does not lead to closed-form expressions for Z or Z s .…”

Section: Evaluation Of Tl Impedancementioning

confidence: 99%

“…Following the same rationale as in [29], the solution for A t is presented below for both polar coordinates…”

Section: A Complete Formulationmentioning

confidence: 99%

“…In the tunnel, the type of solution of the Laplace equation for A t has been examined in [29], where several noncoincident conductor axes had to be considered as center points for the necessary power series developments along the radial directions, the latter being the coefficients of the Fourier series developments along the azimuthal angles-in the present case only two axis are required, 0(r, φ) and 0 (r , φ ).…”

Section: A Complete Formulationmentioning

confidence: 99%

“…As described in [29], solving for the zeroth-order terms, we find the complete solution for the TL impedance…”

Section: A Complete Formulationmentioning

confidence: 99%

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Accurate Electromagnetic Analysis of MF TL Backup Communications in Cylindrical Tunnels

Machado

Faria

2015

IEEE Trans. Antennas Propagat.

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Medium frequency transmission line (MF TL) communications in circular cylindrical underground tunnels critically depend on the soil return impedance. The soil impedance can be approximately calculated using a very simple closed-form expression based on an image method-the so-called Dubanton approach. In this paper, we present an analytical exact method, based on electromagnetic field analysis, using Bessel and Hankel functions to correctly evaluate the soil impedance and the wave propagation parameters (attenuation, phase velocity, and characteristic impedance) that characterize the fundamental quasi-TEM mode propagating along circular tunnels. By comparing the computation results of both methods we have been able to quantify the errors involved in the Dubanton approach. The approximation developed by Wait is also used for verification purposes.Index Terms-Dubanton approach, magnetic vector potential, medium frequency (MF) tunnel communications, soil impedance evaluation, transmission line (TL) systems, wave propagation.

show abstract

Section: Evaluation Of Tl Impedancementioning

confidence: 99%

“…Following the same rationale as in [29], the solution for A t is presented below for both polar coordinates…”

Section: A Complete Formulationmentioning

confidence: 99%

Section: A Complete Formulationmentioning

confidence: 99%

“…As described in [29], solving for the zeroth-order terms, we find the complete solution for the TL impedance…”

Section: A Complete Formulationmentioning

confidence: 99%

See 2 more Smart Citations

Accurate Electromagnetic Analysis of MF TL Backup Communications in Cylindrical Tunnels

Machado

Faria

2015

IEEE Trans. Antennas Propagat.

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“…One of the non-destructive and easily automatable methods that allows measuring thickness of an electrically conductive coating may be associated with the use of skin effect [1]. Let us use the skin effect theory (discussed in many literature sources, e.g., [2] - [6]) to determine in which situations this effect can be used for the measurement of thickness of a protective coating. In work [7] a calculation method of frequency-dependent resistance and internal inductance of a solid cylindrical conductor is developed.…”

Section: Introductionmentioning

confidence: 99%

The Use of Skin Effect for Measurement of Thickness of Sputtered Protective-Coatings

Timmerberg

Martinovs

2014

Transport and Aerospace Engineering

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-This paper deals with the development of a mathematical model that describes the skin effect in cylindrical conductors with protective coating. The model allows calculating the distribution of current density and magnetic field intensity, as well as determining electrical impedance, resistance, reactance and current in separate layers. It is established that electrical impedance at constant frequencies decreases linearly, if thickness of a protective coating grows. This fact can be used for electrical measurement of thickness of a protective coating.

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Electromagnetic and thermal analysis of underground power solid‐conductor cables under harmonic and unbalancing currents based on FEM

Rasoulpoor

Mirzaie

Mirimani

2017

Int J Numerical Modelling

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In this paper, electromagnetic and thermal analyses are performed on underground power solid-conductor cables under harmonic and unbalancing currents. The loss, life time, and produced magnetic field are calculated. Different balanced and unbalance load currents and also sinusoidal and harmonic profiles are considered. Moreover, the effects of different distances between cables are analyzed. Power cable losses and produced magnetic fields around power cables are computed based on electromagnetic analysis by using finite element method. Furthermore, finite element method thermal simulations are conducted to determine the cable life time based on Arrhenius model. Underground medium-voltage cables with metallic sheaths in flat and trefoil formations are considered. Metallic sheaths are bonded together and grounded in the single point or both ends. So, the effects of eddy and circulating currents of sheaths on power cable parameters are studied. Simulation results show the important effects of unbalancing and harmonic currents on the power cables parameters. Also, the effects are dependent on the harmonic frequency orders, installation method, and grounding system types.KEYWORDS electrical analysis, finite element method, magnetic field, power cable, thermal analysis

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Magnetic field analysis of three-conductor bundles in flat and triangular configurations with the inclusion of proximity and skin effects

Cited by 18 publications

References 12 publications

Accurate Electromagnetic Analysis of MF TL Backup Communications in Cylindrical Tunnels

Accurate Electromagnetic Analysis of MF TL Backup Communications in Cylindrical Tunnels

The Use of Skin Effect for Measurement of Thickness of Sputtered Protective-Coatings

Electromagnetic and thermal analysis of underground power solid‐conductor cables under harmonic and unbalancing currents based on FEM

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