A Closed-Form Sensitivity Analysis of Transmission Lines

Authors

  • G. Antonini Dipartimento di Ingegneria Elettrica e dell’Informazione Universit`a degli Studi dell’Aquila Monteluco di Roio, 67040, L’Aquila, Italy
  • L. De Camillis Dipartimento di Ingegneria Elettrica e dell’Informazione Universit`a degli Studi dell’Aquila Monteluco di Roio, 67040, L’Aquila, Italy
  • F. Ruscitti Dipartimento di Ingegneria Elettrica e dell’Informazione Universit`a degli Studi dell’Aquila Monteluco di Roio, 67040, L’Aquila, Italy

Keywords:

A Closed-Form Sensitivity Analysis of Transmission Lines

Abstract

A new approach for frequency-domain sensitivity analysis of transmission lines is presented. The propagation problem for the voltage sensitivity is considered and solved in terms of the closed-form Green’s function of the 1-D wave propagation problem. This leads to a closed-form solution for the voltage sensitivity. The accuracy of the proposed method is verified by comparison with the perturbation approach.

Downloads

Download data is not yet available.

References

C. R. Paul, Analysis of Multiconductor Transmission

Lines, 2nd ed. New York, NY: John Wiley & Sons,

R. Achar and M. Nakhla, “Simulation of high-speed

interconnects,” Proceedings of the IEEE, vol. 89,

no. 5, pp. 693–728, May 2001.

Q. Zhang, S. Lum, and M. Nakhla, “Minimization

of delay and crosstalk in high-speed VLSI intercon-

nects,” IEEE Transactions on Microwave Theory and

Techniques, vol. 40, pp. 1555–1563, 1992.

L. J. Lions, Optimal Control of Systems Governed

by Partial Diffeential Equations, S. K. Mitter, Ed.,

S. W. Director and R. A. Rohrer, “The generalized

adjoint network and network sensitivities,” IEEE

Transactions on Circuits and Systems, vol. 16, pp.

–323, Aug. 1969.

Y. S. Chung, C. C. Cheon, I. H. Park, and S. Y. Hahn,

“Optimal design method for microwave device using

time domain method and design sensitivity analysis-

Part II: FDTD case,” IEEE Transactions on Magnet-

ics, vol. 37, pp. 3255–3259, Sep. 2001.

J. P. Webb, “Design sensitivity for scattering-matrix

calculation with tetrahedral egde elements,” IEEE

Transactions on Magnetics, vol. 36, pp. 1043–1046,

Jul. 2000.

——, “Design sensitivity using high-order tetrahe-

dral vector elements,” IEEE Transactions on Mag-

netics, vol. 37, pp. 3600–3603, Sep. 2001.

——, “Design sensitivity of frequency response in

-D finite-element analysis of microwave devices,”

IEEE Transactions on Magnetics, vol. 35, pp. 1109–

, Mar. 2002.

N. K. Nikolova, J. W. Bandler, and M. H. Bakr,

“Adjoint techniques for sensitivity analysis in high

frequency structure CAD,” IEEE Transactions on

Microwave Theory and Techniques, vol. 52, no. 1,

pp. 403–419, Jan. 2004.

N. K. Nikolova and M. H. Bakr, “An adjoint variable

method for time-domain transmission-line modeling

with fixed structured grids,” IEEE Transactions on

Microwave Theory and Techniques, vol. 52, no. 2,

pp. 554–559, Feb. 2004.

E. A. Soliman, M. H. Bakr, and N. N. Nikolova,

“An adjoint variable method for sensitivity calcula-

tions of multiport devices,” IEEE Transactions on

Microwave Theory and Techniques, vol. 52, no. 2,

pp. 589–599, Feb. 2004.

ACES JOURNAL, VOL. 24, NO. 4, AUGUST 2009

S. Ali, N. N. Nikolova, and M. H. Bakr, “Sensitiv-

ity analysis with full-wave electromagnetic solvers

based on structured grids,” IEEE Transactions on

Magnetics, vol. 40, no. 3, pp. 1521–1530, May 2004.

N. K. Nikolova, J. Zhu, D. Li, M. H. Bakr, and J. W.

Bandler, “Sensitivity analysis of network parameters

with electromagnetic frequency-domain simulators,”

IEEE Transactions on Microwave Theory and Tech-

niques, vol. 54, no. 2, pp. 670–681, Feb. 2006.

D. Deschrijver, B. Haegeman, and T. Dhaene, “Or-

thonormal vector fitting: a robust macromodeling

tool for rational approximation of frequency domain

responses,” vol. 30, no. 2, pp. 216–225, May 2007.

T. Dhaene and D. Deschrijver, “Generalised vector

fitting algorithm for macromodeling of passive elec-

tronic components,” Electronics Lett., vol. 41, no. 6,

pp. 299–300, Mar. 2005.

P. Liu, Z.-F. Li, and G.-B. Han, “Application

of asymptotic waveform evaluation to eigenmode

expansion method for analysis of simultaneous

switching noise in printed circuit boards (PCBs),”

IEEE Transactions on Electromagnetic Compatibil-

ity, vol. 48, no. 3, pp. 485–492, Aug. 2006.

J. Ureel and D. De Zutter, “A new method for

obtaining the shape sensitivities of planar microstrip

structures by a full-wave analysis,” IEEE Transac-

tions on Microwave Theory and Techniques, vol. 44,

no. 2, pp. 249–260, Feb. 1996.

G. Antonini, “A dyadic Green’s function based

method for the transient analysis of lossy and dis-

persive multiconductor transmission lines,” IEEE

Transactions on Microwave Theory and Techniques,

vol. 56, no. 4, pp. 880–895, Apr. 2008.

G. W. Hanson and A. B. Yakovlev, Operator Theory

for Electromagnetics. Springer, 2002.

J. V. Bladel, Singular Electromagnetic Fields and

Sources. Oxford, Clarendon Press, 1991.

F. G ̈unes ̧, N. T. Tokan, and F. G ̈urgen, “Support

vector design of the microstrip lines,” International

Journal of RF and Microwave Computer-Aided En-

gineering, pp. 326–336, 2007.

Downloads

Published

2022-06-17

How to Cite

[1]
G. . Antonini, L. D. . Camillis, and F. . Ruscitti, “A Closed-Form Sensitivity Analysis of Transmission Lines”, ACES Journal, vol. 24, no. 4, pp. 352–360, Jun. 2022.

Issue

Section

General Submission