Parameterized model order reduction with guaranteed passivity for PEEC Circuit analysis

We present a novel parameterized model order reduction technique applicable to the Partial Element Equivalent Circuit analysis that provides parametric reduced order models, stable and passive by construction, over a user defined design space. We treat the construction of parametric reduced order models on scattered design space grids. This new parameterized model order reduction technique is based on the hybridization of traditional passivity-preserving model order reduction methods and interpolation schemes based on a class of positive interpolation operators, in order to guarantee overall stability and passivity of the parametric reduced order model. Pertinent numerical examples validate the proposed approach.

[1]  T. Dhaene,et al.  Passivity-Preserving Interpolation-Based Parameterized Macromodeling of Scattered S-Data , 2010, IEEE Microwave and Wireless Components Letters.

[2]  T. Dhaene,et al.  Parameterized S-Parameter Based Macromodeling With Guaranteed Passivity , 2009, IEEE Microwave and Wireless Components Letters.

[3]  Xuan Zeng,et al.  Model Order Reduction of Parameterized Interconnect Networks via a Two-Directional Arnoldi Process , 2008, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[4]  D. D. Hertog,et al.  Maximin Latin Hypercube Designs in Two Dimensions , 2005, Oper. Res..

[5]  Joel R. Phillips,et al.  Variational interconnect analysis via PMTBR , 2004, IEEE/ACM International Conference on Computer Aided Design, 2004. ICCAD-2004..

[6]  Jacob K. White,et al.  A multiparameter moment-matching model-reduction approach for generating geometrically parameterized interconnect performance models , 2004, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[7]  Giampietro Allasia,et al.  Simultaneous Interpolation and Approximation by a Class of Multivariate Positive Operators , 2003, Numerical Algorithms.

[8]  Michel Nakhla,et al.  Passive parameterized time-domain macromodels for high-speed transmission-line networks , 2003 .

[9]  A. Ruehli,et al.  Nonorthogonal PEEC formulation for time- and frequency-domain EM and circuit modeling , 2003 .

[10]  Luís Miguel Silveira,et al.  Passive constrained rational approximation algorithm using Nevanlinna-Pick interpolation , 2002, Proceedings 2002 Design, Automation and Test in Europe Conference and Exhibition.

[11]  Massoud Pedram,et al.  Model reduction of variable-geometry interconnects using variational spectrally-weighted balanced truncation , 2001, IEEE/ACM International Conference on Computer Aided Design. ICCAD 2001. IEEE/ACM Digest of Technical Papers (Cat. No.01CH37281).

[12]  George Papadopoulos,et al.  Full-wave PEEC time-domain method for the modeling of on-chipinterconnects , 2001, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[13]  Andreas C. Cangellaris,et al.  Progress in the methodologies for the electrical modeling of interconnects and electronic packages , 2001, Proc. IEEE.

[14]  Carretera de Valencia,et al.  The finite element method in electromagnetics , 2000 .

[15]  R. Freund.  Krylov-subspace methods for reduced-order modeling in circuit simulation , 2000 .

[16]  Giulio Antonini,et al.  A wavelet-based time-domain solution for PEEC circuits , 2000 .

[17]  Luc Knockaert,et al.  Laguerre-SVD reduced-order modeling , 2000 .

[18]  Lawrence T. Pileggi,et al.  PRIMA: passive reduced-order interconnect macromodeling algorithm , 1998, 1997 Proceedings of IEEE International Conference on Computer Aided Design (ICCAD).

[19]  Andreas C. Cangellaris,et al.  Hybrid electromagnetic modeling of noise interactions in packaged electronics based on the partial-element equivalent-circuit formulation , 1997 .

[20]  David P. Dobkin,et al.  The quickhull algorithm for convex hulls , 1996, TOMS.

[21]  Jian-Ming Jin,et al.  The Finite Element Method in Electromagnetics , 1993 .

[22]  John C. Davis,et al.  Contouring: A Guide to the Analysis and Display of Spatial Data , 1992 .

[23]  E. Cheney.  Multivariate approximation theory: selection topics , 1986 .

[24]  R. Rohrer,et al.  Passivity considerations in stability studies of numerical integration algorithms , 1981 .

[25]  Albert E. Ruehli,et al.  The modified nodal approach to network analysis , 1975 .

[26]  A. Ruehli.  Equivalent Circuit Models for Three-Dimensional Multiconductor Systems , 1974 .

[27]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[28]  Elliot Ward Cheney,et al.  Multivariate approximation theory - selected topics , 1986, CBMS-NSF regional conference series in applied mathematics.

[29]  D. F. Watson.  Computing the n-Dimensional Delaunay Tesselation with Application to Voronoi Polytopes , 1981, Comput. J..

[30]  Roger F. Harrington,et al.  Field computation by moment methods , 1968 .

[31]  Louis Weinberg,et al.  Network Analysis and Synthesis , 1962 .

[32]  T. Dhaene,et al.  This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination. IEEE TRANSACTIONS ON ADVANCED PACKAGING 1 Guaranteed Passive Parameterized , 2022 .