Proximity effect in solid and hollow round conductors

Arnold, A.H.M.

doi:10.1049/ji-2.1941.0043

Cited by 15 publications

(7 citation statements)

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“…In cases such as twin lines with opposing currents, the error in resistance will be the same as δP%, because power losses are proportional to resistance. The calculations were performed for 4 sets of (R/δ, d/R) ratios: (1, 2), (1,4), (4, 2), (4,4). In all the cases, typical variants of currents in the bus duct were taken into account.…”

Section: Power Lossesmentioning

confidence: 99%

“…The solution was expressed as infinite series with coefficients, which have to be found via successive approximations. Later Arnold [4] used this result as well as some others to obtain formulae for the proximity factor defined as AC resistance to DC resistance for round parallel conductors in single and three-phase cases. There were many approaches with semi-analytical solutions, where fields are expressed as infinite series, yet the coefficients in the series have to be determined numerically by solving a system of linear algebraic equations.…”

Section: Introductionmentioning

confidence: 99%

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Analytical-Numerical Approach to the Skin and Proximity Effect in Lines with Round Parallel Wires

Jabłoński¹,

Kusiak²,

Szczegielniak³

2020

Energies

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Power and communication lines with round wires are often used in electrical engineering. The skin and proximity effects affect the current density distribution and increase resistances and energy losses. Many approaches were proposed to calculate the effects and related quantities. One of the simplest approximate closed solutions neglects the dimensions of neighboring wires. In this paper, a solution to this problem is proposed based on the method of successive reactions. In this context, the solution with substitutive filaments is considered as the first approximation of the true solution. Several typical arrangements of wires in single-phase communication lines or three-phase bus ducts are considered to detect the limits of applicability of the first approximation. The error of the first approximation grows with wire radius to skin depth ratio and wire radius to wire spacing ratio. When the wire radius to skin depth ratio is up to 1, and the gap between the wires is above the wire radius, the error is at a level of 1%. However, lowering the distance and/or skin depth leads to a much larger error in the first approximation.

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Section: Power Lossesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical-Numerical Approach to the Skin and Proximity Effect in Lines with Round Parallel Wires

Jabłoński¹,

Kusiak²,

Szczegielniak³

2020

Energies

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“…This must be incorporated by another subdivision of the skins into arc segments (see Figure 7). Arnold [31] yields an analytical approach to calculate the proximity effect. Based on the error which occurs from the calculation of the subconductor impedances Z mm and Z mn , the segmentation of the skins can be defined.…”

Section: Frequency-dependent Segmentation Of Conductorsmentioning

confidence: 99%

A Full Frequency-Dependent Cable Model for the Calculation of Fast Transients

Hoshmeh

Schmidt

2017

Energies

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Abstract:The calculation of frequency-dependent cable parameters is essential for simulations of transient phenomena in electrical power systems. The simulation of transients is more complicated than the calculation of currents and voltages in the nominal frequency range. The model has to represent the frequency dependency and the wave propagation behavior of cable lines. The introduced model combines an improved subconductor method for the determination of the frequency-dependent parameters and a PI section wave propagation model. The subconductor method considers the skin and proximity effect in all conductors for frequency ranges up to few megahertz. The subconductor method method yields accurate results. The wave propagation part of the cable model is based on a cascaded PI section model. A modal transformation technique has been used for the calculation in the time domain. The frequency-dependent elements of the related modal transformation matrices have been fitted with rational functions. The frequency dependence of cable parameters has been reproduced using a vector fitting algorithm and has been implemented into an resistor-inductor-capacitor network (RLC network) for each PI section. The proposed full model has been validated with measured data.

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“…For rectangles and semiellipses, we find peaks in the loss curves at low frequencies for large b/d. This is due to the proximity effect [9] of the current between neighboring bumps. In fact, referring to Fig.…”

Section: Power Lossmentioning

confidence: 99%

Power loss and local surface impedance associated with conducting rough interfaces

Matsushima

Nakata

2005

Electron. Comm. Jpn. Pt. II

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SUMMARYThe increase of the working frequencies of electromagnetic wave circuits causes high transmission losses due to the roughness of the metal surfaces. To understand this phenomenon, we model a rough metal interface in the simplest manner, by periodic grooves of infinite length. Then the reduced two-dimensional problem is analyzed numerically by the equivalent source method. Two polarizations are treated separately: the H-wave case, in which the directions of grooves and current are perpendicular, and the E-wave case, in which they are parallel. Three crosssectional shapes of the metal surface-rectangular, triangular, and semielliptical conductors-are selected for computing the power losses and local surface impedances. We observe how the shape and groove depth affect the above characteristics, and investigate the behavior of the numerical results physically by taking account of the field distributions.

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Proximity effect in solid and hollow round conductors

Cited by 15 publications

References 0 publications

Analytical-Numerical Approach to the Skin and Proximity Effect in Lines with Round Parallel Wires

Analytical-Numerical Approach to the Skin and Proximity Effect in Lines with Round Parallel Wires

A Full Frequency-Dependent Cable Model for the Calculation of Fast Transients

Power loss and local surface impedance associated with conducting rough interfaces

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