volume | PIER Journals

Abstract

Modeling complex networks of cables inside structures and modeling disjoint objects connected by cables inside large computational domains with respect to the wavelength are two problems that currently present many difficulties. In this paper, we propose a 1D/3D hybrid method in time domain to solve efficiently these two kinds of problems. The method, based upon finite difference schemes, couples Maxwell's equations to evaluate electromagnetic fields in 3D domains and the transmission line equations to evaluate currents and voltages on cables. Some examples are presented to show the interest of this approach.

1. Holland, R. and L. Simpson, "Finite-difference analysis of EMP coupling to thin struts and wires," IEEE Trans. on Electromagnetic Compatibility, Vol. 23, No. 2, 88-97, 1981.
doi:10.1109/TEMC.1981.303899

2. Berenger, J. P., "A multiwire formalism for the FDTD method," IEEE Trans. on Electromagnetic Compatibility, Vol. 42, No. 3, 257-264, 2000.
doi:10.1109/15.865332

. Guiffaut, C., A. Reineix, and B. Pecqueux, "New oblique thin wire formalism in the FDTD method with multiwire junctions," IEEE Trans. on Antennas and Propagation, Vol. 60, No. 3, 1458-1466, 2012.
doi:10.1109/TAP.2011.2180304

4. Edelvik, F., "A new technique for accurate and stable modeling of arbitrarily oriented thin wires in the FDTD method," IEEE Trans. on Electromagnetic Compatibility, Vol. 45, No. 2, 416-423, 2003.
doi:10.1109/TEMC.2003.811294

5. Baum, C. E., T. K. Liu, and F. Tesche, "On the analysis of general multiconductor transmission-line networks," Interactions Notes, Note 350, 1978.

6. Paletta, L., J. P. Parmantier, F. Issac, P. Dumas, and J. C. Alliot, "Susceptibility analysis of wiring in a complex system combining a 3D solver and a transmission-line network simulation ," IEEE Trans. on Electromagnetic Compatibility, Vol. 44, No. 2, 309-317, 2002.
doi:10.1109/TEMC.2002.1003395

7. Ferrieres, X., J. P. Parmantier, S. Bertuol, and A. Ruddle, "Application of hybrid finite difference/finite volume to solve an automotive problem," IEEE Trans. on Electromagnetic Compatibility, Vol. 46, No. 4, 624-634, 2004.
doi:10.1109/TEMC.2004.837837

8. Mouysset, V., P. A. Mazet, and P. Borderies, "A multi-domain decomposition method to solve electromagnetic scattering problems in time domain ," Radio Science, Vol. 42, RS4009, 2007.
doi:10.1029/2005RS003417

9. Yee, K. S., "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans. on Antennas and Propagation, Vol. 14, No. 3, 302-307, 1966.

10. Kunz, K. S. and R. J. Luebbers, The Finite Difference Time Domain Method for Electromagnetics, CRC Press, 1993.

11. Taflove, A., S. C. Hagness, and , "Computational Electrodynamics: The Finite-difference Time-domain Method," Artech House, 2005.

12. Berenger, J. P., "Perfectly matched layer for the FDTD solution of wave-structure interaction problems," IEEE Transactions on Antennas and Propagation, Vol. 44, No. 1, 110-117, 1996.
doi:10.1109/8.477535

13. Paul, C. R., Analysis of Multiconductor Transmission Lines, Wiley-Blackwell, 2007.

14. Vance, E. F., Coupling to Shielded Cables, Wiley, 1978.

15. Paul, C. R. and A. E. Feather, "Computation of the transmission line inductance and capacitance matrices from the generalized capacitance matrix ," IEEE Trans. on Electromagnetic Compatibility, Vol. 18, No. 4, 175-183, 1976.
doi:10.1109/TEMC.1976.303498

16. Clements, J. C., C. R. Paul, and A. T. Adams, "Computation of the capacitance matrix for systems of dielectric-coated cylindrical conductors ," IEEE Trans. on Electromagnetic Compatibility, Vol. 17, No. 4, 238-248, 1975.
doi:10.1109/TEMC.1975.303430

17. Tesche, F. M., M. V. Ianov, and T. Karlsson, EMC Analysis Methods and Computational Models, John Wiley & Sons, 1997.

18. Rao, S. M., Time Domain Electromagnetics, David J. Ed., Auburn University, Academic Press, 1999.

Dr. Nathanael Muot

Dr. Christophe Girard

Dr. Xavier Ferrieres

Dr. Elodie Bachelier