Progress In Electromagnetics Research B
ISSN: 1937-6472
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 49 > pp. 177-195


By J. A. M. Brandao Faria

Full Article PDF (287 KB)

Time- and frequency-domain theory of multiwire magnetic transmission lines is presented for the first time. The familiar theory of electric multiconductor transmission lines (MTL) is based on the manipulation of two matrices, the longitudinal impedance and the transverse admittance. However, for magnetic MTLs, the key matrices are the transverse impedance and the longitudinal admittance. It is shown how the latter matrices are defined and how they should be used to determine the modal propagation constants and modal characteristic wave admittances that characterize the various travelling wave modes of magnetic MTLs. The theory is illustrated considering a three-wire system with three-fold symmetry. Simulation results, in the range 0.1 GHz to 10 GHz, are presented, showing that the magnetic MTL can exhibit superluminal phase velocity and zero attenuation dispersion.

J. A. M. Brandao Faria, "Formulation of Multiwire Magnetic Transmission-Line Theory," Progress In Electromagnetics Research B, Vol. 49, 177-195, 2013.

1. Pipes, L. A., "Matrix theory of multiconductor transmission lines," Phil. Mag. S. 7, Vol. 24, 97-113, 1937.

2. Rice, S. O., "Steady state solutions of transmission line equations," Bell Syst. Tech. J., Vol. 20, 131-178, 1941.

3. Wedepohl, L. M., "Application of matrix methods to the solution of travelling-wave phenomena in polyphase systems," Proc. Inst. Elect. Eng., Vol. 10, 2200-2212, 1963.

4. Hedman, D. E., "Propagation on overhead transmission lines, I --- Theory of modal analysis," IEEE Trans. Power App. Syst., Vol. 84, 1877-1884, 1965.

5. Dommel, H. W. and W. S. Meyer, "Computation of electromagnetic transients," Proceedings of the IEEE, Vol. 62, 983-993, 1974.

6. Gary, C., "Approche complete de la propagation multifilaire en haute frequence par utilization des matrices complexes," EDF Bulletin de la Direction des Etudes et Recherches, Vol. 3-4, 5-20, 1976.

7. Brandao Faria, J. A. and J. B. da Silva, "Wave propagation in polyphase transmission lines: A general theory to include cases where ordinary modal theory fails," IEEE Trans. Power Del., Vol. 1, 743-764, 1987.

8. Djordjevic, A. R., T. K. Sarkar, and E. F. Harrington, "Time-domain response of multiconductor transmission lines," Proceedings of the IEEE, Vol. 75, 643-764, 1987.

9. Khan, O. D., A. Z. Elsherbeni, C. E. Smith, and D. Kajfez, "Characteristics of cylindrical multiconductor transmission lines above a perfectly conducting ground plane," Progress In Electromagnetics Research, Vol. 15, 191-220, 1997.

10. 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.

11. Brandao Faria, J. A., "A new generalized modal analysis theory for nonuniform multiconductor transmission lines," IEEE Trans. Power Syst., Vol. 18, 926-933, 2004.

12. Khalaj-Amirhosseini, M., "Analysis of coupled or single nonuniform transmission lines using Taylor's series expansion," Progress In Electromagnetics Research, Vol. 60, 107-117, 2006.

13. D·edkova, J. and L. Brancik, "Laplace transform and FDTD approach applied to MTL simulation," PIERS Online, Vol. 4, No. 1, 16-20, 2008.

14. Brandao Faria, J. A. and M. P. Pires, "Theory of magnetic transmission lines," IEEE Trans. Microw. Theory Tech., Vol. 60, 2941-2949, 2012.

15. Brand~ao Faria, J. A., "A physical model of the ideal transformer based on magnetic transmission line theory," Journal of Electromagnetic Waves and Applications, Vol. 27, No. 3, 2013.

16. Brandao Faria, J. A. M., "Complex reluctance of inhomogeneous Euler-Cauchy tubular ferrites taking into account frequency-dependent complex permeability," Progress In Electromagnetics Research M, Vol. 25, 71-85, 2012.

17. Kerns, Q. A., "Transient-suppressing magnetic transmission line,", Patent US 3376523, Apr. 1968.

18. Brand~ao Faria, J. A., "Dispositivo formado por uma linha magnetica de transmissao para uso em circuitos integrados para aplicacoes na tecnologia terahertz [Magnetic transmission line device for terahertz integrated circuits],", Patent PT 106056, Dec. 2011.

19. Brandao Faria, J. A., Electromagnetic Foundations of Electrical Engineering, Wiley, Chichester, 2008.

20. Paul, C. R., Analysis of Multiconductor Transmission Lines, Wiley, New York, 1994.

21. Brandao Faria, J. A., "Multiconductor Transmission-line Structures: Modal Analysis Techniques," Wiley, New York, 1993.

22. Brandao Faria, J. A., "On the time-domain transmission-line equations," Microw. Opt. Tech. Letters, Vol. 22, 194-197, 1999.

23. Papaleonidopoulos, I., C. Karagiannopoulos, C. Anagnostopoulos, and N. Theodorou, "A theoretical justification of the two-conductor HF transmission-line model for indoor single-phase low voltage triplex cables," Proc. 7th Int. Symp. Power-line Communications Appl., 114-119, Kyoto, Japan, Mar. 2003.

24. Brandao Faria, J. A. and M. G. Neves, "Accurate evaluation of indoor triplex cable capacitances taking conductor proximity effects into account," IEEE Trans. Power Del., Vol. 21, 1238-1244, 2006.

25. Ramo, S., J. Whinnery, and T. Van Duzer, Fields and Waves in Communications Electronics, 2nd Ed., Wiley, Singapore, 1984.

© Copyright 2010 EMW Publishing. All Rights Reserved