Transient Analysis of Lossy Parabolic Transmission Lines with Nonlinear Loads

IEEE Transactions on Microwave Theory and Techniques

Volumn 43, Issue 6, 1995, Pages 1330-1334

  Bouchard, Pierre ^a   Gagné, Réal R J ^b  

^a EXFO   (Canada)

^b UNIVERSITÉ LAVAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; ELECTRIC IMPEDANCE; ELECTRIC LOADS; ELECTRIC NETWORK ANALYSIS; INTERCONNECTION NETWORKS; LAPLACE TRANSFORMS; MATRIX ALGEBRA; NUMERICAL METHODS; TIME DOMAIN ANALYSIS; TRANSMISSION LINE THEORY;

ALLEN'S METHOD; CONVOLUTION TECHNIQUES; LOSSY PARABOLIC TRANSMISSION LINES; NONLINEAR LOADS; TRANSIENT ANALYSIS; TRAPEZOIDAL PULSE GENERATOR;

ELECTRIC LINES;

EID: 0029324599     PISSN: 00189480     EISSN: 15579670     Source Type: Journal    
DOI: 10.1109/22.390168     Document Type: Article

References (23)

1. V. Dvorak, “Transient analysis of nonuniform transmission lines,” Proc. IEEE, vol. 58, pp. 844–845, May 1970.
2. V. Dvorak, “Computer simulation of signal propagation through a nonuniform transmission line,” IEEE Trans. Circuit Theory, vol. CT-20. pp. 580–583, Sept. 1973.
3. J. L. Hill and D. Mathews, “Transient analysis of systems with exponential transmission lines,” IEEE Trans. Microwave Theory Tech. vol. MTT-25, pp. 777–783, Sept. 1977.
4. E. R. Schatz and E. M. Williams, “Pulse transients in exponential transmission lines,” Proc. IRE, vol. 38, pp. 1208–1212, Oct. 1950.
5. H. Curtins, J. J. Max, and A. V. Shah, “Step response of lossless parabolic transmission line,” Electron. Lett., vol. 19, pp. 755–756, Sept. 15, 1983.
6. H. Curtins and A. V. Shah, “Step response of lossless nonuniform transmission lines with power-law characteristic impedance function,” IEEE Trans. Microwave Theory Tech. vol. MTT-33, pp. 1210–1212, Nov. 1985.
7. C.-W. Hsue and C. D. Hechtman, “Transient analysis of nonuniform, high-pass transmission lines,” IEEE Trans. Microwave Theory Tech., vol. 38, pp. 1023–1030, Aug. 1990.
8. C.-W. Hsue, “Time-domain scattering parameters of an exponential transmission line,” IEEE Trans. Microwave Theory Tech., vol. 39, pp. 1891–1895, Nov. 1991.
9. F. Y. Chang, “Waveform relaxation analysis of nonuniform lossy transmission lines characterized with frequency-dependent parameters,” IEEE Trans. Circuits Syst., vol. 38, pp. 1484–1500, Dec. 1991.
10. J. E. Shutt-Aine, “Transient analysis of nonuniform transmission lines,” IEEE Trans. Circuits Syst.—I, vol. 39, pp. 378–385, May 1992.
11. P. Bouchard, R. R. J. Gagné, and J.-L. Lavoie, “Transients on lossless exponential transmission lines using Allen's method,” IEEE Trans. Microwave Theory Tech., vol. 41, pp. 1178–1182, June/July 1993.
12. M. Silverberg and O. Wing, “Time domain computer solutions for networks containing lumped nonlinear elements,” IEEE Trans. Circuit Theory; vol. CT-15, pp. 292–294, Sept. 1968.
13. J. L. Allen, “Time-domain analysis of lumped-distributed networks,” IEEE Trans. Microwave Theory Tech. vol. MTT-27, pp. 890–896, Nov. 1979.
14. M. S. Ghausi and J. J. Kelly, Introduction to Distributed-Parameter Networks with Applications to Integrated Circuits. New York: Holt, Rinehart and Winston, 1968, pp. 115–121.
15. G. E. Roberts and H. Kaufman, Table of Laplace Transforms. Philadelphia: Saunders, 1966.
16. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, 9th ed. New York: Dover, 1972, ch. 29 and 9.
17. W. H. Beyer, CRC Standard Mathematical Tables, 25th ed. West Palm Beach, FL: CRC, 1978, pp. 257–258.
18. W. H. Press et al., Numerical Recipes: The Art of Scientific Computing. Cambridge: Cambridge Univ. Press, 1988, ch. 4 and 6.
19. P. Bouchard, “Méthode d'analyse de la réponse transitoire de lignes de transmission uniformes et non uniformes chargées d'éléments linéaires et non linéaires avec ou sans mémoire,” Ph.D. dissertation, Laval Univ., P.Q., Canada, June 1993 (in French).
20. J. E. Schutt-Aine and R. Mittra, “Scattering parameter transient analysis of transmission lines loaded with nonlinear terminations,” IEEE Trans. Microwave Theory Tech., vol. 36, pp. 529–536, Mar. 1988.
21. L. O. Chua and P. M. Lin, Computer-Aided Analysis of Electronic Circuits: Algorithms and Computational Techniques. Englewood Cliffs, NJ: Prentice-Hall, 1975, p. 48.
22. L. O. Chua, “Analysis and synthesis of multivalued memoryless nonlinear networks,” IEEE Trans. Circuit Theory, vol. CT-14, pp. 192–209, June 1967.
23. L. O. Chua, Introduction to Nonlinear Network Theory. New York: McGraw-Hill, 1969, ch. 12.