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Resistive and inductive skin effect in rectangular conductors

Published: 01 November 1979 Publication History

Abstract

A model based on network theory is presented for calculating the frequency-dependent resistance and inductance per unit length matrices for transmission line systems consisting of conductors with rectangular cross sections. The calculated results are compared with actual measurements. Excellent agreement is obtained over a wide range of frequencies, including the mid-range where neither dc values nor high-frequency limit values apply.

References

[1]
H. B. G. Casimir and J. Ubbink, "The Skin Effect," Phillips Tech. Rev. 28, 271-283, 300-315, 366-381 (1967).
[2]
P. Silvester, "Model Network Theory of Skin Effect in Flat Conductors," Proc. IEEE 59, 1147-1151 (1966).
[3]
B. D. Popovic and Z. M. Popovic, "Method of Determining Power-Frequency Current Distributions in Cylindrical Conductors," Proc. IEE 119, 569-574 (1972).
[4]
B. D. Popovic and D. N. Filipovic, "Theory of Power-Frequency Proximity Effect for Strip Conductors," Proc. IEE 122, 839-842 (1975).
[5]
P. Graneau, "Alternating and Transient Conduction Currents in Straight Conductors of any Cross-Section," Intl. J. Electron. 19, 41-59 (1965).
[6]
P. Graneau, "Computation of Losses and Inter-conductor Forces in Low-temperature A.C. Power Circuits," Intl. J. Electron. 22, 1-18 (1967).
[7]
A. E. Ruehli, "Inductance Calculations in a Complex Integrated Circuit Environment," IBM J. Res. Develop. 16, 470-481 (1972).
[8]
A. E. Ruehli, "Equivalent Circuit Models for Three-Dimensional Multiconductor Systems," IEEE Trans. Microwave Theory Tech. MTT-22, 216-221 (1974).
[9]
A. E. Ruehli, N. Kulasza, and J. Pivnichny, "Inductance of Nonstraight Conductors Close to a Ground Return Plane," IEEE Trans. Microwave Theory Tech. MTT-23, 706-708 (1975).
[10]
R. A. Pucel, D. J. Masse, and C. P. Hartwig, "Losses in Microstrip," IEEE Trans. Microwave Theory Tech. MTT- 16, 342-350 (1968).
[11]
R. A. Pucel, D. J. Masse, and C. P. Hartwig, correction to "Losses in Microstrip," IEEE Trans. Microwave Theory Tech. MTT-16, 1064 (1968).
[12]
F. W. Grover, Inductance Calculations, Working Formulas, and Tables, Dover Publications, New York, 1962, p. 31, Eq. (1) and p. 46, Eq. (32).

Cited By

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  • (2008)Accelerated modeling of massively coupled RLC interconnects using the relative inductance extraction methodIEEE Transactions on Very Large Scale Integration (VLSI) Systems10.1109/TVLSI.2008.200036516:6(745-754)Online publication date: 1-Jun-2008
  • (2007)Characterization and modeling of silicon integrated spiral inductors for high-frequency applicationsAnalog Integrated Circuits and Signal Processing10.1007/s10470-007-9063-751:2(89-100)Online publication date: 1-May-2007
  • (2004)Optimization of Integrated Spiral Inductors Using Sequential Quadratic ProgrammingProceedings of the conference on Design, automation and test in Europe - Volume 110.5555/968878.969053Online publication date: 16-Feb-2004
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Published In

cover image IBM Journal of Research and Development
IBM Journal of Research and Development  Volume 23, Issue 6
November 1979
74 pages

Publisher

IBM Corp.

United States

Publication History

Published: 01 November 1979
Revised: 25 June 1979
Received: 20 March 1979

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Cited By

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  • (2008)Accelerated modeling of massively coupled RLC interconnects using the relative inductance extraction methodIEEE Transactions on Very Large Scale Integration (VLSI) Systems10.1109/TVLSI.2008.200036516:6(745-754)Online publication date: 1-Jun-2008
  • (2007)Characterization and modeling of silicon integrated spiral inductors for high-frequency applicationsAnalog Integrated Circuits and Signal Processing10.1007/s10470-007-9063-751:2(89-100)Online publication date: 1-May-2007
  • (2004)Optimization of Integrated Spiral Inductors Using Sequential Quadratic ProgrammingProceedings of the conference on Design, automation and test in Europe - Volume 110.5555/968878.969053Online publication date: 16-Feb-2004
  • (2004)Fast and accurate extraction of 3-D interconnect resistanceProceedings of the 2004 Asia and South Pacific Design Automation Conference10.5555/1015090.1015281(707-709)Online publication date: 27-Jan-2004
  • (2004)A practical approach to modeling skin effect in on-chip interconnectsProceedings of the 14th ACM Great Lakes symposium on VLSI10.1145/988952.989017(266-270)Online publication date: 26-Apr-2004
  • (2002)FastMagProceedings of the 2002 IEEE/ACM international conference on Computer-aided design10.1145/774572.774642(478-484)Online publication date: 10-Nov-2002
  • (2002)Proximity templates for modeling of skin and proximity effects on packages and high frequency interconnectProceedings of the 2002 IEEE/ACM international conference on Computer-aided design10.1145/774572.774621(326-333)Online publication date: 10-Nov-2002
  • (2001)Computational Cost Reduction in Extracting InductanceProceedings of the 2nd International Symposium on Quality Electronic Design10.5555/558593.850124Online publication date: 26-Mar-2001
  • (2000)A simplified hybrid method for calculating the frequency-dependent inductances of transmission lines with rectangular cross sectionProceedings of the 2000 Asia and South Pacific Design Automation Conference10.1145/368434.368745(453-456)Online publication date: 28-Jan-2000
  • (1999)Chip integration methodology for the IBM S/390 G5 and G6 custom microprocessorsIBM Journal of Research and Development10.1147/rd.435.068143:5(681-706)Online publication date: 1-Sep-1999
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