Electromagneticmodel order reduction for system-level modeling

IEEE Transactions on Microwave Theory and Techniques

Volumn 47, Issue 6 PART 2, 1999, Pages 840-850

  Cangellaris, Andreas C ^a   Celik, Mustafa ^b   Pasha, Soheila ^a   Zhao, Li ^b  

^a University of Illinois at Urbana Champaign   (United States)

^b Monterey Design Systems   (United States)

Author keywords

Electromagnetic modeling; Electromagnetic transient analysis; Finite difference methods; Model order reduction; System level

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; MICROSTRIP ANTENNAS; WAVEGUIDES;

ELECTROMAGNETIC MODEL ORDER REDUCTION; ELECTROMAGNETIC TRANSIENT ANALYSIS; SYSTEM LEVEL;

ELECTROMAGNETIC FIELD THEORY;

EID: 0033363535     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/22.769317     Document Type: Article

References (40)

1. A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method. Norwood, MA: Artech House, 1995.
2. Y.-S. Tsuei, A.C. Cangellaris, and J. L. Prince, "Rigorous electromagnetic modeling of chip-to-package (first-level) interconnections," IEEE Trans. Comp., Hybrids, Manufact. Technol., vol. 16, pp. 876-833, Dec. 1993.
3. C.-N. Kuo, B. Houshmand, and T. Itoh, "Full-wave analysis of packaged microwave circuits with active and nonlinear devices: A FDTD approach," IEEE Trans. Microwave Theory Tech., vol. 44, pp. 819-829, May 1997.
4. S.M. Imtiaz and S. M. El-Ghazaly, "Global modeling of millimeterwave circuits: Electromagnetic simulation of amplifiers," IEEE Trans. Microwave Theory Tech., vol. 45, pp. 2208-2216, Dec. 1997.
5. M. Toupikov, G. Pan, and S. El-Ghazaly, "Global modeling of microwave devices using wavelets," in IEEE MTT-S Symp. Dig., vol. 1, 1998, pp. 263-266.
6. E.K. Miller, "Model-based parameter estimation in electromagnetics: I-Background and theoretical development," IEEE Antennas Propagat. Mag., vol. 40, pp. 42-52, Feb. 1998.
7. "Model-based parameter estimation in electromagnetics: II-Applications to EM observables," IEEE Antennas Propagat. Mag., vol. 40, pp. 51-65, Apr. 1998.
8. "Model-based parameter estimation in electromagnetics: III-Applications to EM integral equations," IEEE Antennas Propagat. Mag., vol. 40, pp. 49-66, June 1998.
9. R.F. Remis and P. M. van den Berg, "A modified Lanczos algorithm for the computation of transient electromagnetic wavefields," IEEE Trans. Microwave Theory Tech., vol. 45, pp. 2139-2149, Dec. 1997.
10. L. Zhao and A.C. Cangellaris, "Reduced-order modeling of electromagnetic field interactions in unbounded domains truncated by perfectly matched layers," Microwave Opt. Technol. Lett., vol. 17, no. 1, pp. 62-66, Jan. 1998.
11. J.E. Bracken, D.-K. Sun, and Z. J. Cendes, "5-domain methods for simultaneous time and frequency characterization of electromagnetic devices," IEEE Trans. Microwave Theory Tech., vol. 46, pp. 1277-1290, Sept. 1998.
12. M. Zunoubi, J.-M. Jin, and W.C. Chew, "Spectral Lanczos decomposition method for time-domain and frequency-domain finite-element solution of Maxwell's equations," Electron. Lett., vol. 34, no. 4, pp. 346-347, 1998.
13. M.R. Zunoubi, K. C. Donepudi, J.-M. Jin, and W. C. Chew, "Efficient time-domain and frequency-domain finite-element solution of Maxwell's equations using spectral Lanczos algorithm," IEEE Trans. Microwave Theory Tech., vol. 46, pp. 1141-1149, Aug. 1998.
14. C. Lanczos, "An iteration method for the solution of the eigenvalue problem of linear differential and integral operators," J. Res. Nad. Bur. Stand., vol. 45, pp. 255-282, 1950.
15. Y. Saad, "Analysis of some Krylov subspace approximations to the matrix exponential operator," SIAM J. Numer. Anal., vol. 29, pp. 209-228, 1992.
16. D.L. Boley, "Krylov space methods on state-space control models," Circuits Syst. Signal Process., vol. 13, pp. 733-758, 1994.
17. K. Gallivan, E. Grimme, and P. Van Dooren, "Fade approximation of large-scale dynamic systems with Lanczos method," in Proc. 33rd Conf. Decision Control, Buena Vista, FL, Dec. 1994, pp. 443-448.
18. P. Feldmann and R.W. Freund, "Efficient linear circuit analysis by Fade approximation via the Lanczos process," IEEE Trans. Computer-Aided Design, vol. 14, pp. 639-649, May 1995.
19. "Reduced-order modeling of large linear subcircuits via a block Lanczos algorithm," in IEEE/ACM Proc. Design Automation Conf., June 1995. pp. 474-479.
20. M. Celik and A.C. Cangellaris, "Simulation of dispersive multiconductor transmission lines by Fade approximation via the Lanczos process," IEEE Trans. Microwave Theory Tech., vol. 44, pp. 2525-2535, Dec. 1996.
21. "Simulation of multiconductor transmission lines using Krylov subspace order-reduction techniques," IEEE Trans. Computer-Aided Design, vol. 16, pp. 485-496, May 1997.
22. A.E. Ruehli, "Equivalent circuit models for three-dimensional multiconductor systems," IEEE Trans. Microwave Theory Tech., vol. MTT-22, pp. 216-221, Mar. 1974.
23. W. Pinello, A.C. 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. R.A. Rohrer and H. Nosrati, "Passivity considerations in stability studies of numerical integration algorithms," IEEE Trans. Circuits Syst., vol. CAS-28, pp. 857-866, Sept. 1981.
25. A.C. Cangellaris and L. Zhao, "Passivity of discrete electromagnetic systems," in Proc. 14th Annu. Rev. Progress Appl. Computational Electromag., Monterey, CA, Mar. 1998, pp. 721-731.
26. A.C. Cangellaris and M. Celik, "Order reduction of high-speed interconnect electrical models; the issue of passivity," in Proc. IEEE Symp. IC/Package Design Integration, Santa Cruz, CA, Feb. 1998, pp. 132-137.
27. K.J. Kerns, I. L. Wemple, and A. T. Yang, "Stable and efficient reduction of substrate model networks using congruence transforms," in IEEE/ACM Proc. ICCAD, Nov. 1995, pp. 207-214.
28. A. Odabasioglu, M. Celik, and L.T. Pileggi, "PRIMA: Passive reducedorder interconnect macromodeling algorithm," IEEE Trans. ComputerAided Design, vol. 17, pp. 645-653, Aug. 1998.
29. C.R. Paul, Analysis of Multiconductor Transmission Lines. New York: Wiley, 1994.
30. S.K. Lele, "Compact finite difference schemes with spectral-like resolution," J. Comput. Phys., vol. 103, pp. 16-42, 1992.
31. R. Freund, "Reduced-order modeling techniques based on Krylov subspaces and their use in circuit simulation," unpublished.
32. I.M. Elfadel and D. D. Ling, "A block rational Arnold! algorithm for multipoint passive model-order reduction of multiport RLC networks," in IEEE/ACM Proc. ICCAD, Nov. 1997, pp. 66-71.
33. A. Semlyen and A. Dabuleanu, "Fast and accurate switching transient calculations on transmission lines with ground return using recursive convolutions," IEEE Trans. Power Appl. Syst., vol. PAS-94, pp. 561-571, Mar. 1975.
34. W.T. Beyene and J. E. Schutt-Ainé, "Accurate frequency-domain modeling and efficient circuit simulation of high-speed packaging interconnects," IEEE Trans. Microwave Theory Tech., vol. 45, pp. 1941-1947, Oct. 1997.
35. K. Gallivan, E. Grimme, and P. Van Doren, "Fade approximation of large-scale dynamic systems with Lanczos methods," in P roc. 33rd IEEE Conf. Decision Control, Lake Buena Vista, FL, 1994.
36. B. Gustavsen and A. Semlyen, "Application of vector fitting to state equation representation of transformers for simulation of electromagnetic transients," IEEE Trans. Power Delivery, vol. 13, pp. 834-842, July 1998.
37. R.W. Newcomb, Linear Multipart Synthesis. New York: McGrawHill, 1966.
38. L. Zhao and A.C. Cangellaris, "GT-PML: Generalized theory of perfectly matched layers and its application to the reflectionless truncation of finite-difference time-domain grids," IEEE Trans. Microwave Theory Tech., vol. 44, pp. 2555-2563, Dec. 1996.
39. G. Aguirre, "Methodologies for modeling radiated emissions from printed circuit boards and packaged electronic systems," Ph.D. dissertation, Dept. Elect. Comput. Eng., Univ. Arizona, Tempe, AZ, 1996.
40. R.J. Luebbers and H. S. Langdon, "Reducing the number of time steps needed for FDTD antenna and microstrip calculations," in P roc. llth Annu. Rev. Progress Appl. Computational Electromag., Monterey, CA, Mar. 1995, pp. 465-470.