volume | PIER Journals

Abstract

This paper presents an effective numerical method for the transient analysis of lossy transmission lines. With the discretization of the spatial variation of voltages and currents along the transmission lines while remaining the temporal derivatives unchanged, a semidiscrete model is derived from the telegrapher's equations. The timestep integration method is utilized to derive the recursive scheme of time advancing. A large time step can be used in the computation, meanwhile, its accuracy is guaranteed. Numerical examples are presented to demonstrate the stability and accuracy of the proposed method.

1. Palusinski, O. A. and A. Lee, "Analysis of transients in nonuniform and uniform multiconductor transmission lines," IEEE Trans. Microwave Theory Tech., Vol. 37, No. 1, 127-138, 1989.
doi:10.1109/22.20031 Google Scholar

2. Djordjevic, A. R. and T. K. Sarkar, "Analysis of time response of lossy multiconductor transmission line networks," IEEE Trans. Microwave Theory Tech., Vol. 35, No. 10, 898-908, 1987.
doi:10.1109/TMTT.1987.1133776 Google Scholar

3. Mao, J. F. and Z. F. Li, "Waveform relaxation solution of the ABCD matrices of nonuniform transmission lines for transient analysis," IEEE Trans. Computer-Aided Design, Vol. 13, No. 11, 1409-1412, 1994.
doi:10.1109/43.329269 Google Scholar

4. Chang, F. Y., "Transient simulation of frequency-dependent nonuniform coupled lossy transmission lines," IEEE Trans. Comp., Vol. 17, No. 1, 3-14, 1994. Google Scholar

5. Pillage, L. T. and R. A. Rohrer, "Asymptotic waveform evaluation for timing analysis," IEEE Trans. Computer-aided Design, Vol. 9, No. 4, 352-377, 1990.
doi:10.1109/43.45867 Google Scholar

6. Chiprout, E. and M. S. Nakhla, "Analysis of interconnect networks using complex frequency hopping (CFH)," IEEE Trans. Computer-aided Design, Vol. 14, No. 2, 186-200, 1995.
doi:10.1109/43.370425 Google Scholar

7. Paul, C. R., "Incorporation of terminal constrains in the FDTD analysis of transmission lines," IEEE Trans. Electromagn. Compat., Vol. 36, No. 2, 85-91, 1994.
doi:10.1109/15.293284 Google Scholar

8. Orlandi, A. and C. R. Paul, "FDTD analysis of lossy, multiconductor transmission lines terminated in arbitrary loads," IEEE Trans. Electromagn. Compat., Vol. 38, No. 3, 388-399, 1996.
doi:10.1109/15.536069 Google Scholar

9. Trakadas, P. T. and C. N. Capsalis, "Validation of a modified FDTD method on non-uniform transmission lines," Progress In Electromagnetics Research, Vol. 31, 311-329, 2001.
doi:10.2528/PIER00071705 Google Scholar

10. Talocia, S. G., H. M. Huang, A. E. Ruehli, F. Canavero, and I. M. Elfadel, "Transient analysis of lossy transmission lines: an efficient approach based on the method of characteristics," IEEE Trans. Advanced Packag., Vol. 27, No. 1, 45-56, 2004.
doi:10.1109/TADVP.2004.825467 Google Scholar

11. Dounavis, A., R. Achar, and M. S. Nakhla, "Efficient passive circuit models for distributed networks with frequency-dependent parameters," IEEE Trans. Advanced Packag., Vol. 23, No. 3, 382-392, 2000.
doi:10.1109/6040.861551 Google Scholar

12. Khalaj-Amirhosseini, M., "Analysis of coupled or single nonuniform transmission lines using step-by-step numerical integration," Progress In Electromagnetics Research, Vol. 58, 187-198, 2006.
doi:10.2528/PIER05072803 Google Scholar

13. Khalaj-Amirhosseini, M., "Analysis of periodic and aperiodic coupled nonuniform transmission lines using the Fourier series expansion," Progress In Electromagnetics Research, Vol. 65, 15-26, 2006.
doi:10.2528/PIER06072701 Google Scholar

14. Holland, R., "Finite-difference time-domain (FDTD) analysis of magnetic diffusion," IEEE Trans. Electromagn Compat., Vol. 36, No. 1, 32-39, 1994.
doi:10.1109/15.265477 Google Scholar

15. Namiki, T., "A new FDTD algorithm based on alternatingdirection implicit method," IEEE Trans. Microwave Theory Tech., Vol. 47, No. 10, 2003-2007, 1999.
doi:10.1109/22.795075 Google Scholar

16. Celik, M. and A. C. Cangellaris, "Simulation of multiconductor transmission lines using Krylov subspace order-reduction techniques," IEEE Trans. Computer-Aided Design, Vol. 16, No. 5, 485-496, 1997.
doi:10.1109/43.631211 Google Scholar

17. Talocia, S. G. and F. Canavero, "Wavelet-based adaptive solution for the nonuniform multiconductor transmission lines," IEEE Microwave Guided Wave Lett., Vol. 8, No. 8, 287-289, 1998.
doi:10.1109/75.704597 Google Scholar

18. Moler, C. and C. V. Loan, "Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later," SIAM Rev., Vol. 45, No. 1, 3-49, 2003.
doi:10.1137/S00361445024180 Google Scholar

19. Ward, R. C., "Numerical computation of the matrix exponential with accuracy estimate," SIAM J. Numer. Anal., Vol. 14, No. 4, 600-610, 1977.
doi:10.1137/0714039 Google Scholar

Dr. Min Tang

Dr. J. Mao