Skin and proximity effects in nonmagnetic conductors

Berleze, S.L.M.; Robert, Renê

doi:10.1109/te.2003.814591

Cited by 32 publications

(21 citation statements)

References 9 publications

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“…Let us discretize (5) by the method of moments [19], where two dimensional rectangular pulse functions are used for both basis and weighting functions [15,17].…”

Section: Methods Of Momentsmentioning

confidence: 99%

“…Unlike the present author's approach [19], where the line is replaced by a set of round wires and the current is expanded by cylindrical functions, we here utilize simple rectangular segments and a constant basis. This process is, in principle, similar to that employed in [2,[13][14][15]17], and among them, [15] proposed the use of a nonuniform grid without detailed explanation. The present paper, however, describes how to construct such grids systematically in accordance with the skin effect.…”

Section: Introductionmentioning

confidence: 96%

“…In the recent trend of high speed digital signal processing, the increase in the per-unit-length resistance and inductance due to the skin effect has become an issue of great interest. This problem, especially for a free-standing rectangular conductor as a basic structure, has been discussed from the viewpoints of analytical treatment [5][6][7][8][9], experiment [10], and numerical computation [11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Improved Numerical Method for Computing Internal Impedance of a Rectangular Conductor and Discussions of Its High Frequency Behavior

Matsuki¹,

Matsushima

2012

PIER M

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Abstract-An efficient numerical solution is been developed to compute the impedances of rectangular transmission lines. Method of moments is applied to integral equations for the current density, where the cross section is discretized, to improve the convergence, by a nonuniform grid that obeys the skin effect. Powerfulness of this approach up to rather high frequencies is verified by comparing with asymptotic formulas and other references. Detailed discussion is given for the current density distribution and its effect to the impedance, especially for a high frequency range.

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“…Let us discretize (5) by the method of moments [19], where two dimensional rectangular pulse functions are used for both basis and weighting functions [15,17].…”

Section: Methods Of Momentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Improved Numerical Method for Computing Internal Impedance of a Rectangular Conductor and Discussions of Its High Frequency Behavior

Matsuki¹,

Matsushima

2012

PIER M

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“…As frequency increases, frequency-related effects including skin effect, proximity effect Berleze & Robert (2003); Chen et al (1993); Dwight (1945); Egiziano & Vitelli (2004); Lotfi et al (1992); Murgatroyd (1989); Ravazzani et al (2002) and self-resonance Massarini & Kazimierczuk (1997) modify both L and R, dramatically degenerating the Q factor. A formula predicting the Q factor is…”

Section: Inductor Modelingmentioning

confidence: 99%

Design and Optimization of Inductive Power Link for Biomedical Applications

Huang¹,

Zhou²,

Wu³

et al. 2011

Applied Biomedical Engineering

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“…Success in efficient designs of transmission lines depends on how correctly the selected formulas or numerical methods can take into account the skin and proximity effects [3][4][5]. Toward this, much effort has been devoted to developing numerical techniques based on computational electromagnetics.…”

Section: Introductionmentioning

confidence: 99%

Efficient Impedance Computation for Multiconductor Transmission Lines of Rectangular Cross Section

Matsuki¹,

Matsushima²

2012

PIER B

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Abstract-An efficient numerical solution is presented for computing per-unit-length impedance of metallic rectangular transmission lines backed by semi-infinite lossy substrate. We formulate the problem into the set of integral equations, the kernel of which is analytically expressed in terms of special functions in the quasi-static regime. The method of moments is applied to find the current density distributions in the metal regions, where the discretization of cross sections is performed by using non-uniform grid arranged according to the skin effect. The practical numerical computations concern the influence of the substrate loss on the per-unit-length impedance for some types of parallel lines. We thereby show that the substrate loss cannot be neglected at high frequencies. The effectiveness of the proposed method is confirmed by showing that the computed values of resistance satisfy the law of energy conservation with acceptable accuracy.

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Skin and proximity effects in nonmagnetic conductors

Cited by 32 publications

References 9 publications

Improved Numerical Method for Computing Internal Impedance of a Rectangular Conductor and Discussions of Its High Frequency Behavior

Improved Numerical Method for Computing Internal Impedance of a Rectangular Conductor and Discussions of Its High Frequency Behavior

Design and Optimization of Inductive Power Link for Biomedical Applications

Efficient Impedance Computation for Multiconductor Transmission Lines of Rectangular Cross Section

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