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SAPOR: second-order Arnoldi method for passive order reduction of RCS circuits

Published: 07 November 2004 Publication History

Abstract

The recently-introduced susceptance element exhibits many prominent features in modeling the on-chip magnetic couplings. For an RCS circuit, it is better to be formulated as a second-order system. Therefore, corresponding MOR (model-order reduction) techniques for second-order systems are desired to efficiently deal with the ever-increasing circuit scale and to preserve essential model properties. We first review the existing MOR methods for RCS circuits, such as ENOR and SMOR, and discuss several key issues related to numerical stability and accuracy of the methods. Then, a technique, SAPOR (second-order Arnoldi method for passive order reduction), is proposed to effectively address these issues. Based on an implementation of a generalized second-order Arnoldi method, SAPOR is numerically stable and efficient. Meanwhile, the reduced-order system also guarantees passivity.

References

[1]
{1} Z. Bai and Y. Su, SOAR: A Second-Order Arnoldi Method for the Solution of the Quadratic Eigenvatue Problem. Computer Science Technical Report, CSE-2003-21, University of California, Davis, 2003.
[2]
{2} A. Devgan, H. Ji and W. Dai, How to Efficiently Capture On-Chip Inductance Effects: Introducing a New Circuit Element K. Proc. of lEEE/ACM ICCAD 2000, pp. 150-155, 2000.
[3]
{3} R.W. Freund, Reduced-Order Modeling Techniques Based on Krylov Subspaces and Their Use in Circuit Simulation. Numerical Analysis Manuscript, No. 98-3-02, Bell Laboratories, Feb. 1998.
[4]
{4} D. Ling and A. Ruehli, Circuit Analysis, Simulation and Design - Advances in CAD for VLSI. Vol. 3, Part II, Chap. 11, Elsevier Science Publisher, 1987.
[5]
{5} A. Odabasioglu, M. Celik and L. Pileggi, PRIMA: Passive Reduced-Order Interconnect Macromodeling Algorithm. IEEE Trans. on CAD of Integrated Circuits and Systems, vol. 17, no. 8, pp. 645-654, Aug. 1998.
[6]
{6} L. Pillage, and R. A. Rohrer, Asymptotic Waveform Evaluation for Timing Analysis. IEEE Trans. on CAD of Integrated Circuits and Systems, Vol. 9, No. 4, pp. 352-366, Apr. 1990.
[7]
{7} B.N. Sheehan, ENOR: Model Order Reduction of RLC Circuits Using Nodal Equations for Efficient Factorization. Proc. of IEEE/ACM DAC '99, pp. 17-21, 1999.
[8]
{8} H. Zheng, B. Krauter, M. Beattie and L. Pileggi, Window-Based Susceptance Models for Large-Scale RLC Circuit Analyses. Proc. of IEEE/ACM DATE 2002, pp. 628-633, 2002.
[9]
{9} H. Zheng and L. Pileggi, Robust and Passive Model Order Reduction for Circuits Containing Susceptance Elements. Proc. of IEEE/ACM ICCAD 2002, pp. 761-766, 2002.

Cited By

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  • (2019)A Rigorous Approach for the Sparsification of Dense Matrices in Model Order Reduction of RLC CircuitsProceedings of the 56th Annual Design Automation Conference 201910.1145/3316781.3317751(1-6)Online publication date: 2-Jun-2019
  • (2010)Fast analysis of a large-scale inductive interconnect by block-structure-preserved macromodelingIEEE Transactions on Very Large Scale Integration (VLSI) Systems10.1109/TVLSI.2009.202434318:10(1399-1411)Online publication date: 1-Oct-2010
  • (2010)EMPIREIEEE Transactions on Very Large Scale Integration (VLSI) Systems10.1109/TVLSI.2008.200784218:1(108-118)Online publication date: 1-Jan-2010
  • Show More Cited By

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cover image ACM Conferences
ICCAD '04: Proceedings of the 2004 IEEE/ACM International conference on Computer-aided design
November 2004
913 pages
ISBN:0780387023

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IEEE Computer Society

United States

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Published: 07 November 2004

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Overall Acceptance Rate 457 of 1,762 submissions, 26%

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View all
  • (2019)A Rigorous Approach for the Sparsification of Dense Matrices in Model Order Reduction of RLC CircuitsProceedings of the 56th Annual Design Automation Conference 201910.1145/3316781.3317751(1-6)Online publication date: 2-Jun-2019
  • (2010)Fast analysis of a large-scale inductive interconnect by block-structure-preserved macromodelingIEEE Transactions on Very Large Scale Integration (VLSI) Systems10.1109/TVLSI.2009.202434318:10(1399-1411)Online publication date: 1-Oct-2010
  • (2010)EMPIREIEEE Transactions on Very Large Scale Integration (VLSI) Systems10.1109/TVLSI.2008.200784218:1(108-118)Online publication date: 1-Jan-2010
  • (2007)SBPORProceedings of the 44th annual Design Automation Conference10.1145/1278480.1278519(158-161)Online publication date: 4-Jun-2007
  • (2007)EmpireProceedings of the 2007 international symposium on Physical design10.1145/1231996.1232008(51-58)Online publication date: 18-Mar-2007
  • (2006)A fast block structure preserving model order reduction for inverse inductance circuitsProceedings of the 2006 IEEE/ACM international conference on Computer-aided design10.1145/1233501.1233504(7-12)Online publication date: 5-Nov-2006
  • (2006)SAMSONProceedings of the 2006 international symposium on Physical design10.1145/1123008.1123014(25-32)Online publication date: 9-Apr-2006
  • (2005)Block SAPORProceedings of the 2005 Asia and South Pacific Design Automation Conference10.1145/1120725.1120815(244-249)Online publication date: 18-Jan-2005
  • (2005)Structure preserving reduction of frequency-dependent interconnectProceedings of the 42nd annual Design Automation Conference10.1145/1065579.1065824(939-942)Online publication date: 13-Jun-2005

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