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IEEE Transactions on Antennas and Propagation
Volume 46 Number 12, December 1998

Table of Contents for this issue

Complete paper in PDF format

Accuracy and Stability Improvements of Integral Equation Models Using the Partial Element Equivalent Circuit (PEEC) Approach

Jan E. Garrett, Member, IEEE, Albert E. Ruehli, Fellow, IEEE, and Clayton R. Paul, Fellow, IEEE

Page 1824.

Abstract:

The partial element equivalent circuit (PEEC) technique is a formulation which transforms an electric field integral equation (EFIE) into a full-wave equivalent circuit solution. In this paper, improvements are made to the PEEC model through the development of a refined method of computing both the partial inductances as well as the coefficients of potential. The method does not increase the number of unknowns. In addition, damping is added to the PEEC model in order to further reduce nonphysical resonances which may occur above the useful frequency range. The observations and solutions presented in this paper are especially important for time domain solvers. The effectiveness of the method is illustrated with several examples.

References

  1. C. R. Paul, Introduction to Electromagnetic Compatibility.New York: Wiley, 1992.
  2. A. E. Ruehli, "Equivalent circuit models for three dimensional multiconductor systems," IEEE Trans. Microwave Theory Tech., vol. MTT-22, pp. 216-221, Mar. 1974.
  3. R. F. Harrington, Field Computation by Moment Methods.New York: Macmillan, 1968.
  4. B. J. Rubin and S. Daijavad, "Radiation and scattering from structures involving finite-size dielectric regions," IEEE Trans. Antennas Propagat., vol. 38, pp. 1863-1873, Nov. 1990.
  5. A. E. Ruehli, J. Garrett, and C. R. Paul, "Circuit models for 3-D structures with incident fields," in Proc. IEEE Int. Symp. Electromagn. Compat., Dallas, TX, Aug. 1993, pp. 28-31.
  6. A. E. Ruehli and H. Heeb, "Circuit models for three-dimensional geometries including dielectrics," IEEE Trans. Microwave Theory Tech., vol. MTT-40, pp. 1507-1516, July 1992.
  7. J. E. Garrett and A. Ruehli, "PEEC-EFIE for modeling 3D geometries with lossy inhomogeneous dielectrics and incident fields," IBM Res. Rep. RC 19245 (#83733), IBM T. J. Watson Research Center, Yorktown Heights, NY, Oct. 1993.
  8. J. E. Garrett, A. Ruehli, and C. R. Paul, "Efficient frequency domain solutions for PEEC EFIE for modeling 3-D geometries," in Proc. Int. Zurich Symp. Electromagn. Compat., Zurich, Switzerland, Mar. 1995, pp. 179-184.
  9. L. W. Nagel, "SPICE: A computer program to simulate semiconductor circuits," Elect. Res. Lab. Rep. ERL M520, Univ. California, Berkeley, May 1975.
  10. W. T. Weeks, A. J. Jimenez, G. W. Mahoney, D. Mehta, H. Quasemzadeh, and T. R. Scott, "Algorithms for ASTAP--A network analysis program," IEEE Trans. Circuits Theory, vol. CT-20, pp. 628-634, Nov. 1973.
  11. A. Tijhuis, Electromagnetic Inverse Profiling: Theory and Numerical Implementation.Utrecht, The Netherlands: VNU Sci. Press, 1987.
  12. B. P. Rynne and P. D. Smith, "Stability of time marching algorithms for electic field integral equations," J. Electromagn. Waves Applicat., vol. JEWA-4, no. 12, pp. 1181-1205, Dec. 1990.
  13. E. K. Miller and J. A. Landt, "Direct time domain techniques for transient radiation and scattering from wires," Proc. IEEE, vol. 68, pp. 1396-1423, 1980.
  14. R. G. Martin, A. Salinas, and A. R. Bretones, "Time-domain integral equation methods for transient analysis," IEEE Antennas Propagat. Mag., vol. 34, no. 3, pp. 15-22, June 1992.
  15. S. M. Rao, T. K. Sarkar, and S. A. Dianat, "The application of the conjugate gradient method to the solution of transient electromagnetic scattering from thin wires," Radio Sci., pp. 1319-1326, Oct. 1984.
  16. A. Sadigh and E. Arvas, "Treating the instabilities in marching-on-in-time methods from a different perspective," IEEE Trans. Antennas Propagat., vol. 41, pp. 1695-1702, Dec. 1993.
  17. R. S. Adve, T. K. Sarkar, O. M. Pereira-Filho, and S. M. Rao, "Extrapolation of time domain responses from three dimensional conducting objects utilizing the matrix pencil technique," IEEE Trans. Antennas Propagat., to be published.
  18. A. E. Ruehli, U. Miekkala, and H. Heeb, "Stability of discretized partial element equivalent EFIE circuit models," IEEE Trans. Antennas Propagat., vol. 43, pp. 553-559, June 1995.
  19. E. Chiprout and M. Nakhla, Asymptotic Waveform Evaluation and Moment Matching for Interconnect Analysis.Boston, MA: Kluwer, 1993.
  20. J. Cullum and A. Ruehli, "An extension of pseudospectral analysis for studying the stability and passivity of models of VLSI interconnects," IBM Res. Rep. RC 21016, IBM T. J. Watson Res. Ctr., Yorktown Heights, NY, Nov. 1997.
  21. N. Balabanin and T. Bickart, Electrical Network Theory.New York: Wiley, 1969.
  22. A. E. Ruehli, U. Miekkala, A. Bellen, and H. Heeb, "Stable time domain solutions for EMC problems using PEEC circuit models," in Proc. IEEE Int. Symp. Electromagn. Compat., Chicage, IL, Aug. 1994, pp. 371-376.
  23. W. Pinello, A. Cangellaris, and A. Ruehli, "Hybrid electromagnetic modeling of noise interactions in packaged electronics based on the partial-element equivalent circuit formulation," IEEE Trans. Microwave Theory Tech., vol. 45, pp. 1889-1896, Oct. 1997.
  24. A. E. Ruehli, "Inductance calculations in a complex integrated circuit environment," IBM J. Res. Develop, vol. 16, no. 5, pp. 470-481, Sept. 1972.