Analytical–Numerical Solution for the Skin and Proximity Effects in Two Parallel Round Conductors

Jabłoński, Paweł; Szczegielniak, Tomasz; Kusiak, Dariusz; Piątek, Z.

doi:10.3390/en12183584

Cited by 18 publications

(30 citation statements)

References 21 publications

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“…Analytical handling of these effects is rather difficult even for simple geometries. Quite recently Jabłoński et al presented an analytical-numerical method for the skin and proximity effects in a system of two parallel conductors of circular cross section using the method of successive reactions [5]. The approach was extended to take into account the couplings in three phase lines with round conductors in Ref.…”

Section: Introductionmentioning

confidence: 99%

A Multiphysics Analysis of Coupled Electromagnetic-Thermal Phenomena in Cable Lines

Cywiński¹,

Chwastek²

2021

Preprint

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The paper is focused on numerical modeling of multi-strand cable lines placed in free air. Modeling is carried out within the framework of the so-called multi-physics approach using commercial software. The paper describes in detail the steps undertaken to develop realistic, reliable numerical models of power engineering cables, taking into account their geometries and heat exchange conditions. The results might be of interest to the designers of multi-strand cable systems.

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Section: Introductionmentioning

confidence: 99%

A Multiphysics Analysis of Coupled Electromagnetic-Thermal Phenomena in Cable Lines

Cywiński¹,

Chwastek²

2021

Preprint

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“…It is possible to find an analytical-numerical method for the skin and proximity effects for a system of two parallel conductors of circular cross section in literature [6]. The magnetic field generated by the current applied on each conductor is expressed by means of the vector magnetic potential and expanded into Fourier series.…”

Section: Introductionmentioning

confidence: 99%

“…That would be the 0 th , i.e. the initial approximation [6,7]. This current generates a time harmonic magnetic field which induces eddy currents in the other conductors, and affects the current distribution in the cross section of another rectangular conductor.…”

Section: Introductionmentioning

confidence: 99%

Influence of Skin Effect on the Calculation of Busbar Systems Having Rectangular Cross Section

et al. 2021

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One method for the calculation of current density distribution in a finite number of long parallel conductors, having rectangular cross section, is proposed in this paper. Numerical results aim to highlight the importance of the skin effect, which can be combined with the proximity effect. The method of superposition of these two effects was applied to the calculation of the electromagnetic field in electric power busbars systems. It has been shown that the skin effect has a much greater impact, especially when the conductors are thin and strong electric currents flow through them, so special attention is paid to its calculation. For numerical solution the integral equations are used. The function of current density is approximated by the finite functional series. This way leads to a very accurate solution with only two terms. Differential evolution method is applied for minimization of error function. To demonstrate the application of the proposed approach, numerical values for busbars are presented and compared with values obtained by using the finite elements method.

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“…Besides, the finite elements were often involved [17][18][19]. Pagnetti et al [20], and independently Jabłoński et al [21], proposed a numerical-analytical method, generalizing the approach with substitutive current filaments.…”

Section: Introductionmentioning

confidence: 99%

The Proximity Effect in Twin Line with Round Conductors Placed in Conductive Medium

et al. 2020

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Power lines are often placed in ground or sea water, which are weakly conductive media. In the paper, a new analytical formula, taking into account the proximity effect in a twin line placed in a weakly conductive medium, is derived, and the effect of the conductive medium is considered. In the first step, one of the wires is replaced by a current filament, and the solution is sought for magnetic vector potential around the filament. In the next step, an analytical formula for eddy currents induced in a long straight conductor of circular cross-section placed near to the current filament in the extensive conductive medium is found by using the method of separation of variables. The correctness of the formula is checked by comparison with the results obtained via other methods like finite and boundary element methods. Then, the effect of various parameters on the eddy current distribution is tested. Next, the proximity effect in a twin symmetrical line is considered, and the effect of the conductivity of the surrounding medium is investigated. The results indicate that the conductive medium weakens the proximity effect, but in typical cases (ground and sea water), the effect is very small.

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Analytical–Numerical Solution for the Skin and Proximity Effects in Two Parallel Round Conductors

Cited by 18 publications

References 21 publications

A Multiphysics Analysis of Coupled Electromagnetic-Thermal Phenomena in Cable Lines

A Multiphysics Analysis of Coupled Electromagnetic-Thermal Phenomena in Cable Lines

Influence of Skin Effect on the Calculation of Busbar Systems Having Rectangular Cross Section

The Proximity Effect in Twin Line with Round Conductors Placed in Conductive Medium

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