Abstract
A semianalytic method is used to calculate the transient responses of a lossless multiconductor transmission line with nonlinear loads. The Volterra integral equation for the current response is obtained by combining the linear transmission line equivalence and the voltage–current relations of the nonlinear terminations. The analytic expressions of parameters in the Volterra integral equation are obtained using the Baum–Liu–Tesche equation and analytic Fourier transformation, and then the Volterra integral equation can be simplified. Finally, a simulation example is illustrated to validate this method.
Similar content being viewed by others
References
Taylor CD, Satterwhite RS, Harrison CW (1965) The response of a terminated two-wire transmission line excited by a nonuniform electromagnetic field. IEEE Trans Antennas Propag 13: 987–989
Agrawal AK, Price HJ, Gurbaxani SH (1980) Transient response of multiconductor transmission lines excited by a nonuniform electromagnetic field. IEEE Trans Electromagn Compat 22: 119–129
Rachidi F (1993) Formulation of field-to-transmission line coupling equations in terms of magnetic excitation field. IEEE Trans Electromagn Compat 35: 404–407
Tesche FM, Ianoz MV, Karlsson T (1997) EMC analysis methods and computational models. Wiley, New York
Baum CE, Liu TK, Tesche FM (1978) On the analysis of general multiconductor transmission-line networks. Interaction Note 350:230–331
Baum CE (1999) Generalization of the BLT equation. In: Proceedings of the 13th Zurich EMC symposium, 1999
Ni GY, Luo JS, Li CL (2007) Comparison of Taylor and Agrawal coupling models and their analytic solutions. High Power Laser Particle Beams 19: 1521–1525
Ni GY, Yan L, Yuan NC (2008) Time-domain analytic solutions of two-wire transmission line excited by a plane-wave field. Chin Phys B 17: 3629–3634
Zhang XF, Zhao ZP, Qin YJ, Luo JS, Ni GY (2010) Transient-analytic solutions of lossless multiconductor transmission line excited by plane-wave. In: Proceedings of the 9th international symposium on antenna, propagation and EM theory
Liu TK, Tesche FM (1976) Analysis of antennas and scatterers with nonlinear loads. IEEE Trans Antennas Propag 24: 131–139
Press WH, Teukolsky SA, Vetterling WT, Flannery BP (1987) Numerical recipes. Cambridge University Press, Cambridge
Giovanni M, Antonio M (2001) Transmission line and lumped circuits. Academic Press, San Diego
Oppenheim AV, Willsky AS, Nawab SH (1997) Signals and systems. Prentice-Hall, Upper Saddle River
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhang, X.F., Luo, J.S. & Li, Y. Transient semianalytic analysis of a lossless multiconductor transmission line with nonlinear loads excited by a plane wave. J Eng Math 80, 165–172 (2013). https://doi.org/10.1007/s10665-012-9582-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10665-012-9582-9