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Analysis of nonuniform transmission lines with an iterative and adaptive perturbation technique

Paolo Manfredi (UGent) , Daniël De Zutter (UGent) and Dries Vande Ginste (UGent)
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Abstract
This paper presents an iterative and adaptive perturbation technique for the analysis of nonuniform transmission lines. Place-dependent variations of the per-unit-length parameters are interpreted as perturbations with respect to their average values along the line. This allows casting the governing equations for the corresponding perturbations of the voltages and currents as those of a uniform transmission line with distributed sources. Therefore, standard transmission line theory is used to calculate these perturbation terms. Specifically, perturbations of increasing order are computed iteratively starting from the solution of the unperturbed line. The accuracy is adaptively adjusted by setting a threshold on the convergence of the solution. The algorithm turns out to be simple to implement and very accurate, yet faster than traditional approaches based on the discretization of the line into uniform sections. The technique is validated through the analysis of several nonuniform transmission line structures of relevance in EMC applications, namely uniformly and nonuniformly twisted wire pairs as well as a cable bundle with lacing cords.
Keywords
TWISTED-WIRE PAIRS, IBCN, CAPACITANCE MATRIX, TRANSIENT ANALYSIS, EFFICIENT METHOD, DOMAIN ANALYSIS, PLANE-WAVE, TIME, SIMULATION, CROSSTALK, COMPUTATION, Cable bundles, crosstalk, multiconductor transmission lines, nonuniform transmission lines (NUTLs), transmission line theory, twisted wire pairs (TWPs)

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MLA
Manfredi, Paolo, et al. “Analysis of Nonuniform Transmission Lines with an Iterative and Adaptive Perturbation Technique.” IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY, vol. 58, no. 3, 2016, pp. 859–67, doi:10.1109/TEMC.2016.2523604.
APA
Manfredi, P., De Zutter, D., & Vande Ginste, D. (2016). Analysis of nonuniform transmission lines with an iterative and adaptive perturbation technique. IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY, 58(3), 859–867. https://doi.org/10.1109/TEMC.2016.2523604
Chicago author-date
Manfredi, Paolo, Daniël De Zutter, and Dries Vande Ginste. 2016. “Analysis of Nonuniform Transmission Lines with an Iterative and Adaptive Perturbation Technique.” IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY 58 (3): 859–67. https://doi.org/10.1109/TEMC.2016.2523604.
Chicago author-date (all authors)
Manfredi, Paolo, Daniël De Zutter, and Dries Vande Ginste. 2016. “Analysis of Nonuniform Transmission Lines with an Iterative and Adaptive Perturbation Technique.” IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY 58 (3): 859–867. doi:10.1109/TEMC.2016.2523604.
Vancouver
1.
Manfredi P, De Zutter D, Vande Ginste D. Analysis of nonuniform transmission lines with an iterative and adaptive perturbation technique. IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY. 2016;58(3):859–67.
IEEE
[1]
P. Manfredi, D. De Zutter, and D. Vande Ginste, “Analysis of nonuniform transmission lines with an iterative and adaptive perturbation technique,” IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY, vol. 58, no. 3, pp. 859–867, 2016.
@article{8122243,
  abstract     = {{This paper presents an iterative and adaptive perturbation technique for the analysis of nonuniform transmission lines. Place-dependent variations of the per-unit-length parameters are interpreted as perturbations with respect to their average values along the line. This allows casting the governing equations for the corresponding perturbations of the voltages and currents as those of a uniform transmission line with distributed sources. Therefore, standard transmission line theory is used to calculate these perturbation terms. Specifically, perturbations of increasing order are computed iteratively starting from the solution of the unperturbed line. The accuracy is adaptively adjusted by setting a threshold on the convergence of the solution. The algorithm turns out to be simple to implement and very accurate, yet faster than traditional approaches based on the discretization of the line into uniform sections. The technique is validated through the analysis of several nonuniform transmission line structures of relevance in EMC applications, namely uniformly and nonuniformly twisted wire pairs as well as a cable bundle with lacing cords.}},
  author       = {{Manfredi, Paolo and De Zutter, Daniël and Vande Ginste, Dries}},
  issn         = {{0018-9375}},
  journal      = {{IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY}},
  keywords     = {{TWISTED-WIRE PAIRS,IBCN,CAPACITANCE MATRIX,TRANSIENT ANALYSIS,EFFICIENT METHOD,DOMAIN ANALYSIS,PLANE-WAVE,TIME,SIMULATION,CROSSTALK,COMPUTATION,Cable bundles,crosstalk,multiconductor transmission lines,nonuniform transmission lines (NUTLs),transmission line theory,twisted wire pairs (TWPs)}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{859--867}},
  title        = {{Analysis of nonuniform transmission lines with an iterative and adaptive perturbation technique}},
  url          = {{http://doi.org/10.1109/TEMC.2016.2523604}},
  volume       = {{58}},
  year         = {{2016}},
}

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