Nonorthogonal PEEC formulation for time- and frequency-domain EM and circuit modeling

IEEE Transactions on Electromagnetic Compatibility

Volumn 45, Issue 2, 2003, Pages 167-176

  Ruehli, Albert E ^a   Antonini, Giulio ^b   Esch, Joris ^a   Ekman, Jonas ^c   Mayo, Anita ^a   Orlandi, Antonio ^b  

^a IBM RESEARCH   (United States)

^b UNIVERSITY OF L'AQUILA   (Italy)

^c LULEÅ UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

Circuit modeling; Full wave analysis; Partial element equivalent circuit (PEEC) method

Indexed keywords

CAPACITANCE; COMPUTER SIMULATION; ELECTRONICS PACKAGING; EQUIVALENT CIRCUITS; FREQUENCY DOMAIN ANALYSIS; INDUCTANCE; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; TIME DOMAIN ANALYSIS; VLSI CIRCUITS;

ELECTRICAL INTERCONNECT AND PACKAGE; ELECTROMAGNETIC SOLVER; FULL-WAVE ANALYSIS; PARTIAL ELEMENT EQUIVALENT CIRCUIT; SURFACE INTEGRAL EQUATION; VOLUME INTEGRAL EQUATION;

ELECTROMAGNETIC COMPATIBILITY;

EID: 0037505647     PISSN: 00189375     EISSN: None     Source Type: Journal    
DOI: 10.1109/TEMC.2003.810804     Document Type: Article

References (58)

1. B. Archambeault, O. Ramahi, and C. Brench, EMI/EMC Computational Modeling Handbook. Norwell, MA: Kluwer, 1998.
2. C. Christopoulos, An Introduction to the Transmission-Line Modeling TLM Method. New York: IEEE Press, 1992.
3. W. Sui, Time-Domain Computer Analysis of Nonlinear Hybrid Systems. Boca Raton, FL: CRC, 2002.
4. A. E. Ruehli and P. A. Brennan, "Efficient capacitance calculations for three-dimensional multiconductor systems," IEEE Trans. Microwave Theory Tech., vol. MTT-21, pp. 76-82, Feb. 1973.
5. K. Nabors and J. White, "FastCap: A multipole accelerated 3-D capacitance extraction program," IEEE Trans. Computer-Aided Design, vol. 10, pp. 1447-1459, Nov. 1991.
6. Y. L. Le Coz and R. B. Iverson, "A stochastic algorithm for high-speed capacitance extraction in integrated circuits," IEEE Trans. Microwave Theory Tech., vol. 40, pp. 1507-1516, July 1992.
7. A. E. Ruehli, "Inductance calculations in a complex integrated circuit environment," IBM J. Res. Develop., vol. 16, no. 5, pp. 470-481, 1972.
8. P. A. Brennan, N. Raver, and A. E. Ruehli, "Three-dimensional inductance computations with partial element equivalent circuits," IBM J. Res. Develop., vol. 23, no. 6, pp. 661-668, 1979.
9. P. K. Wolff and A. E. Ruehli, "Inductance computations for complex three dimensional geometries," in Proc. IEEE Int. Symp. Circuits and Systems, vol. 2, 1981, pp. 16-19.
10. C. Paul, Analysis of Multiconductor Transmission Lines. New York: Wiley, 1992.
11. R.-B. Wu, C.-N. Kuo, and K. K. Chang, "Inductance and resistance computations for three-dimensional multiconductor interconnection structures," IEEE Trans. Microwave Theory Tech., vol. 40, pp. 263-270, Feb. 1992.
12. M. Kamon, M. J. Tsuk, and J. White, "Fasthenry: A multipole-accelerated 3-D inductance extraction program," in Proc. Design Automation Conf., vol. 1, June 1993, pp. 678-683.
13. A. E. Ruehli and H. Heeb, "Circuit models for three-dimensional geometries including dielectrics," IEEE Trans. Microwave Theory Tech., vol. 40, pp. 1507-1516, July 1992.
14. W. Pinello, A. C. Cangellaris, and A. E. 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.
15. G. Antonini, S. Cristina, and A. Orlandi, "PEEC modeling of high-voltage tower under direct and nearby lightning strike," in Proc. 10th Int. Symp. High Voltage Eng. ISH, vol. 10, Montreal, CA, Aug. 1997.
16. H. Shi, J. Fan, and J. Drewniak, "Modeling multilayered PCB power-bus designs using an MPIE based circuit extraction technique," in Proc. IEEE Int. Symp. Electromagnetic Compatibility, vol. 2, Denver, CO, Aug. 1998, pp. 647-651.
17. N. Marques, M. Kamon, J. White, and M. Silveira, "A mixed-nodal-mesh formulation for efficient extraction and passive reduced-order modeling of 3-D interconnects," in Proc. Design Automation Conf., vol. 35, San Francisco, CA, 1998, pp. 297-302.
18. G. Antonini, S. Cristina, and A. Orlandi, "PEEC modeling of lightning protection system and coupling to coaxial cables," IEEE Trans. Electromagn. Compat., vol. 40, pp. 481-491, Nov. 1998.
19. A. M. Nikenejad and R. G. Meyer, "Analysis, design, and optimization of spiral inductors and transformers for SI RF ICs," IEEE J. Solid-State Circuits, vol. 33, pp. 1470-1481, Oct. 1998.
20. G. Wollenberg and A. Görisch, "Analysis of 3-D interconnect structures with PEEC using SPICE," IEEE Trans. Electromagn. Compat., vol. 41, pp. 412-417, Nov. 1999.
21. M. Tröscher and H. Katzier, "Efficient PEEC modeling of multi-layer boards and multi-chip modules," in Proc. Int. Zurich Symp. EMC, vol. 14, Zürich, Switzerland, Feb. 2001, pp. 269-273.
22. J. F. Fan, H. Shi, A. Orlandi, J. L. Knighten, and J. L. Drewniak, "Modeling DC power-bus structures with vertical discontinuities using a circuit extraction approach based on a mixed-potential intergral equation formulation," IEEE Trans. Adv. Packag., vol. 24, pp. 143-157, May 2001.
23. R. F. Milsom, K. J. Scott, G. Clark, J. C. McEntegart, S. Ahmed, and F. N. Soper, "FACET - A CAE system for RF analogue simulation including layout," in Proc. Design Automation Conf., vol. 26, 1989, pp. 622-625.
24. Y. Wang, V. Jandjayla, and C.-J. R. Shi, "Coupled electromagnetic-circuit simulation of arbitrary-shaped conducting structures," in Dig. Electr. Perf. Electronic Packaging Conf., vol. 10, Boston, MA, Oct. 2001, pp. 233-236.
25. A. Rong and A. C. Cangellaris, "Generalized PEEC models for three-dimensional interconnect structures and integrated passives of arbitrary shapes," in Dig. Electr. Perf. Electronic Packaging Conf., vol. 10, Boston, MA, Oct. 2001, pp. 225-228.
26. A. E. Ruehli, G. Antonini, and A. Orlandi, "Extension of the partial element equivalent circuit method to nonrectangular geometries," in Proc. IEEE Int. Symp. Electromagnetic Compatibility, Seattle, WA, Aug. 1999, pp. 728-733.
27. G. Antonini, A. Ruehli, and J. Esch, "Nonorthogonal PEEC formulation for time and frequency-domain modeling," in Proc. IEEE Int. Symp. Electromagnetic Compatibility, vol. 1, Minneapolis, MN, Aug. 2002.
28. B. M. Kolundzija and B. D. Popovic, "Entire-domain Galerkin method for analysis of metallic antennas and scatterers," Proc. Inst. Elect. Eng. H, vol. 140, no. 1, pp. 1-10, 1993.
29. H. Singer, H.-D. Brüns, and G. Burger, "State of the art in the moment method," in Proc. IEEE Int. Symp. electromagnetic Compatibility, Santa Clara, CA, Aug. 1996, pp. 122-227.
30. A. W. Glisson and D. R. Wilson, "Simple and efficient numerical methods for problems of electromagnetic radiation and scattering from surfaces," IEEE Trans. Antennas Propagat., vol. AP-28, pp. 593-603, 1980.
31. A. E. Ruehli, J. Garrett, and C. R. Paul, "Circuit models for 3-D structures with incident fields," in Proc. IEEE Int. Symp. Electromagnetic Compatibility, Dallas, TX, Aug. 1993, pp. 28-31.
32. A. E. Ruehli, G. Papadopoulos, K. Aygün, E. Michielssen, and A. Cangellaris, "Transient analysis for printed circuit board problem using two different solvers," in Proc. IEEE Int. Symp. Electromagnetic Compatibility, Montreal, QC, Canada, Aug. 2001, pp. 1327-1332.
33. B. Archambeault and A. E. Ruehli, "Analysis of power/ground-plane EMI decoupling performance using the partial-element equivalent circuit technique," IEEE Trans. Electromagn. Compat., vol. 43, pp. 437-445, Nov. 2001.
34. C.-T. Tai, Generalized Vector and Dyadic Analysis. New York: IEEE Press, 1992.
35. C. A. Balanis, Advanced Engineering Electromagnetics. New York: Wiley, 1989.
36. A. E. Ruehli, "Equivalent circuit models for three dimensional multiconductor systems," IEEE Trans. Microwave Theory Tech., vol. MTT-22, pp. 216-221, Mar. 1974.
37. G. Antonni, A. Orlandi, and A. E. Ruehli, "Speed-up of PEEC method by using wavelet transform," in Proc. IEEE Int. Symp. Electromagnetic Compatibility, Washington, DC, Aug. 2000.
38. A. E. Ruehli and H. Heeb, "Circuit models for three-dimensional geometries including dielectrics," IEEE Trans. Microwave Theory Tech., vol. 40, pp. 1507-1516, July 1992.
39. S. Ramo, J. R. Whinnery, and T. Van Duzer, Fields and Waves in Communication Electronics. New York: Wiley, 1994.
40. C. Ho, A. Ruehli, and P. Brennan, "The modified nodal approach to network analysis," IEEE Trans. Circuits Syst., vol. CAS-32, pp. 504-509, June 1975.
41. J. Garrett, A. E. Ruehli, and C. R. Paul, "Accuracy and stability improvements of integral equation models using the partial element equivalent circuit PEEC approach," IEEE Trans. Antennas Propagat., vol. 46, pp. 1824-1831, Dec. 1998.
42. F. W. Grover, Inductance Calculations: Working Formulas and Tables. New York: Dover, 1962.
43. T.-H. Chen, C. Luk, H. Kim, and C. C. P. Chen, "Inductwise: Inductance-wise interconnect simulator and extractor," in Proc. IEEE Int. Conf. Computer-Aided Design, San Jose, CA, Nov. 2002, pp. 215-220.
44. J.-T. Kuo and K.-Y. Su, "Analytical evaluation of the MoM elements for the capacitance of a charged plate," IEEE Trans. Microwave Theory Tech., vol. 50, pp. 1435-1436, Mar. 2002.
45. G. Antonini, A. Orlandi, and A. E. Ruehli, "Analytical integration of quasistatic potential intergrals on nonorghogonal coplanar quadrilaterals for the PEEC method," IEEE Trans. Electromagn. Compat., vol. 44, pp. 399-403, May 2002.
46. D. A. Lindholm, "Three-dimensional magnetostatic fields from point matching integral equations with linearly varying scalar sources," IEEE Trans. Magn., vol. MAG-20, pp. 2025-2032, Sept. 1984.
47. A. E. Ruehli, Ed., Circuit Analysis, Simulation and Design, Part 2. Amsterdam, The Netherlands: Elsevier Science, 1987.
48. J. Vlach and K. Singhal, Computer Methods for Circuit Simulation. New York: Van Nostrand Reinhold, 1993.
49. L. T. Pillage, R. A. Rohrer, and C. Visweswariah, Electronic Circuits and Systems Simulation Methods. New York: McGraw-Hill, 1995.
50. A. E. Ruehli, N. B. Rabbat, and H. Y. Hsieh, "Macromodular latent solutions of digital networks including interconnects," in Proc. IEEE Int. Symp. Circuits and Systems, vol. 1, May 1978, pp. 515-512.
51. H. Heeb, S. Ponnapalli, and A. E. Ruehli, "Frequency-domain microwave modeling using retarded partial element equivalent circuits," in Proc. Design Automation Conf., Dallas, TX, June 1993, pp. 702-706.
52. J. E. Garrett, A. E. Ruehli, and C. R. Paul, "Efficient frequency-domain solutions for sPEEC EFIE for modeling 3-D geom," in Proc. Int. Zurich Symp. EMC, vol. 10, Zürich, Switzerland, Mar. 1995, pp. 179-184.
53. E. Chiprout and M. S. Nakhla, Asymptotic Waveform Evaluation. Norwell, MA: Kluwer, 1994.
54. B. P. Rynne, "Comments on a stable procedure in calculating the transient scattering by conducting surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., vol. 41, pp. 517-520, 1993.
55. K. Aygün, B. Shanker, A. Ergin, and E. Michielssen, "A two-level plane wave time-domain algorithm for fast analysis of EMC/EMI problems," IEEE Trans. Electromagn. Compat., vol. 44, pp. 152-163, Feb. 2002.
56. S. M. Rao and T. K. Sarkar, "Transient analysis of electromagnetic scattering from wire structures using an implicit time-domain integral equation technique," Microwave Opt. Technol. Lett., vol. 17, no. 1, pp. 66-69, 1998.
57. M. J. Bluck and S. P. Walker, "Time-domain analysis of large three-dimensional electromagnetic scattering problems," IEEE Trans. Antennas Propagat., vol. 45, pp. 894-901, May 1997.
58. P. Restle, A. E. Ruehli, S. G. Walker, and G. Papadopoulos, "Full-wave peec time-domain method for the modeling of on-chip interconnects," IEEE Trans. Computer-Aided Design, vol. 20, pp. 877-887, July 2001.