Model-order reduction of finite-element approximations of passive electromagnetic devices including lumped electrical-circuit models

IEEE Transactions on Microwave Theory and Techniques

Volumn 52, Issue 9 II, 2004, Pages 2305-2313

  Wu, Hong ^a   Cangellaris, Andreas C ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Fast algorithms; Finite element methods (FEMS); Full wave computer aided design (CAD); Model order reduction

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BANDWIDTH; BOUNDARY CONDITIONS; CAPACITORS; COAXIAL CABLES; COMPUTER AIDED DESIGN; ELECTROMAGNETISM; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MAXWELL EQUATIONS;

ELECTROMAGNETIC RESPONSE; FAST ALGORITHMS; FULL-WAVE COMPUTER-AIDED DESIGN (CAD); MODEL-ORDER REDUCTION;

MAGNETIC DEVICES;

EID: 4544331128     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMTT.2004.834582     Document Type: Article

References (38)

1. J. Zhao and W. C. Chew, "Integral equation solution of Maxwell's equations from zero frequency to microwave frequencies," IEEE Trans. Antennas Propagat., vol. 48, pp. 1635-1645, Oct. 2000.
2. V. I. Okhmatovski, J. Morsey, and A. C. Cangellaris, "Loop-tree implementation of the adaptive integral method (AIM) for numerically stable EM modeling from low to multi-GHz frequencies," in Proc. IEEE Int. Antennas and Propagation Symp., vol. 1, June 22-27, 2003, pp. 11-14.
3. M. Kamon, N. A. Marques, L. M. Silveira, and J. White, "Automatic generation of accurate circuit models of 3-D interconnect," IEEE Trans. Comp., Pack., Manufact. Technol. B, vol. 21, pp. 225-234, Aug. 1998.
4. K. Aygun, B. Shanker, A. 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. 152-164, Feb. 2002.
5. D.-K. Sun, J.-F. Lee, and Z. Cendes, "Construction of nearly orthogonal nedelec bases for rapid convergence with multilevel preconditioned solvers," SIAM J. Sci. Comput., vol. 23, no. 4, pp. 1053-1076, 2001.
6. R. Dyczij-Edlinger, G. Peng, and J.-F. Lee, "Efficient finite element solvers for the Maxwell equations in the frequency domain," Comput. Methods Appl. Mech. Eng., vol. 169, no. 3-4, pp. 297-309, Feb. 1999.
7. Y. Zhu and A. C. Cangellaris, "Hierarchical multilevel potential preconditioner for fast finite-element analysis of microwave devices," IEEE Trans. Microwave Theory Tech., vol. 50, pp. 1984-1989, Aug. 2002.
8. _, "Hybrid multilevel/multigrid potential preconditioner for fast finite element modeling," IEEE Microwave Wireless Comp., vol. 12, pp. 290-292, Aug. 2002.
9. E. Chiprout and M. S. Nakhla, Asymptotic Waveform Evaluation and Moment Matching for Interconnect Analysis. Boston, MA: Kluwer, 1993.
10. R Feldmann and R. W. Freund, "Efficient linear circuit analysis by Padé approximation via the Lanczos process," IEEE Trans. Computer-Aided Design, vol. 14, pp. 639-649, May 1995.
11. R. W. Freund, "Passive reduced-order modeling via Krylov-subspace methods," in IEEE Int. Computer-Aided Control System Design Symp., Sept. 2000, pp. 261-266.
12. M. Celik, L. Pileggi, and A. Odabasioglu, IC Interconnect Analysis. Boston, MA: Kluwer, 2002.
13. J. E. Bracken, D.-K. Sun, and Z. I. Cendes, "S-domain methods for simultaneous time and frequency characterization of electromagnetic devices," IEEE Trans. Microwave Theory Tech., vol. 46, pp. 1277-1290, Sept. 1998.
14. X.-M. Zhang and J.-F. Lee, "Application of the AWE method with the 3-D TVFEM to model spectral responses of passive microwave components," IEEE Trans. Microwave Theory Tech., vol. 46, pp. 1735-1741, Nov. 1998.
15. A. C. Cangellaris and L. Zhao, "Rapid FDTD simulation without time stepping," IEEE Microwave Guided Wave Lett., vol. 9, pp. 4-6, Jan. 1999.
16. A. C. Cangellaris, M. Celik, S. Pasha, and L. Zhao, "Electromagnetic model order reduction for system-level modeling," IEEE Trans. Microwave Theory Tech., vol. 47, pp. 840-850, June 1999.
17. Y. Zhu and A. C. Cangellaris, "A new finite element model for reduced order electromagnetic modeling," IEEE Microwave Wireless Comp. Lett., vol. 11, pp. 211-213, May 2001.
18. R. Dyczij-Edlinger, G. Peng, and J.-F. Lee, "Efficient finite element solvers for the Maxwell equations in the frequency domain," Comput. Methods Appl. Mech. Eng. (Special Issue), vol. 169, no. 3-4, pp. 297-309, Feb. 1999.
19. D. K. Sun, J. F. Lee, and Z. J. Cendes, "Construction of nearly orthogonal nedelec bases for rapid convergence with multilevel preconditioned solvers," SIAM J. Sci. Comput., vol. 23, no. 4, pp. 1053-1076, 2001.
20. D.-K. Sun, Z. Cendes, and J.-F. Lee, "ALPS-A new fast frequency-sweep procedure for microwave devices," IEEE Trans. Microwave Theory Tech., vol. 49, pp. 398-402, Feb. 2001.
21. T. Wittig, I. Munteanu, R. Schuhmann, and T. Weiland, "Two-step Lanczos algorithm for model order reduction," IEEE Trans. Magn., vol. 38, pp. 673-676, Mar. 2002.
22. L. Knockaert and D. De Zutter, "Stable Laguerre-SVD reduced-order modeling," IEEE Trans. Circuits Syst. I, vol. 50, pp. 576-579, Apr. 2003.
23. D. Lukashevich, A. Cangellaris, and P. Russer, "Transmission line matrix method reduced order modeling," in IEEE MTT-S Int. Microwave Symp. Dig., vol. 2, June 2003, pp. 1125-1128.
24. Y. Zhu and A. C. Cangellaris, "Macro-elements for efficient FEM simulation of small geometric features in waveguide components," IEEE Trans. Microwave Theory Tech., vol. 48, pp. 2254-2260, Dec. 2000.
25. B. Denecker, F. Olyslager, L. Knockaert, and D. De Zutter, "Generation of FDTD subcell equations by means of reduced order modeling," IEEE Trans. Antennas Propagat., vol. 51, pp. 1806-1817, Aug. 2003.
26. L. Kulas and M. Mrozowski, "Reduced order models of refined Yee's cells," IEEE Microwave Wireless Comp. Lett., vol. 13, pp. 164-166, Apr. 2003.
27. P. B. Johns and M. O'Brien, "Use of transmission line modeling (T.L.M.) method to solve nonlinear lumped networks," Radio Electron. Eng., vol. 50, no. 1-2, pp. 59-70, Jan.-Feb. 1980.
28. R. H. Voelker and R. J. Lomax, "A finite-difference transmission line matrix method incorporating a nonlinear device model," IEEE Trans. Microwave Theory Tech., vol. 38, pp. 302-312, Mar. 1990.
29. W. Sui, D. A. Christensen, and C. H. Durney, "Extending the two-dimensional FDTD method to hybrid electromagnetic systems with active and passive lumped elements," IEEE Trans. Microwave Theory Tech., vol. 40, pp. 724-730, Apr. 1992.
30. 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. 876-883, Dec. 1993.
31. M. Piket-May, A. Taflove, and J. Baron, "FD-TD modeling of digital signal propagation in 3-D circuits with passive and active loads," IEEE Trans. Microwave Theory Tech., vol. 42, pp. 1514-1523, Aug. 1994.
32. K. Guillouard, M.-F. Wong, V. F. Hanna, and J. Citerne, "A new global finite element analysis of microwave circuits including lumped elements," IEEE Trans. Microwave Theory Tech., vol. 44, pp. 2587-2594, Dec. 1996.
33. M. Feliziani and F. Maradei, "Modeling of electromagnetic fields and electrical circuits with lumped and distributed elements by the WETD method," IEEE Trans. Magn., vol. 35, pp. 1666-1669, May 1999.
34. S.-H. Chang, R. Coccioli, Y. Qian, and T. Itoh, "A global finite-element time-domain analysis of active nonlinear microwave circuits," IEEE Trans. Microwave Theory Tech., vol. 47, pp. 2410-2416, Dec. 1999.
35. Y. Zhu and A. Cangellaris, "Hierarchical finite element basis function spaces for tetrahedra elements," presented at the Applied Computational Electromagnetics Soc. Meeting, Monterey, CA, Mar. 2001.
36. P. P. Silvester and R. L. Ferrari, Finite Elements for Electrical Engineers, 3rd ed. Cambridge, U.K.: Cambridge Univ. Press, 1996.
37. A. Odabasioglu, M. Celik, and L. T. Pileggi, "PRIMA: Passive reduced-order interconnect macromodeling algorithm," IEEE Trans. Computer-Aided Design, vol. 17, pp. 645-654, Aug. 1998.
38. D. M. Pozar, Microwave Engineering. Reading, MA: Addison-Wesley, 1990, ch. 8.