Passive parametric modeling of interconnects and packaging components from sampled impedance, admittance or scattering data

We present a methodology to generate passive parametric macromodels from impedance, admittance or scattering samples. The key features of the proposed approach are two. First, the proposed model is passive by construction over the entire parameter range, and will therefore lead to stable time-domain simulations. Second, the model poles are fully parameterized. This latter feature enables a high fitting accuracy and a reduced model complexity. Two application examples compare the performance of this technique with the state of the art.

[1]  R. Achar,et al.  Stability, Causality, and Passivity in Electrical Interconnect Models , 2007, IEEE Transactions on Advanced Packaging.

[2]  Stefano Grivet-Talocia,et al.  Extraction of parametric circuit models from scattering parameters of passive RF components , 2010, The 5th European Microwave Integrated Circuits Conference.

[3]  Marion Kee,et al.  Analysis , 2004, Machine Translation.

[4]  T. Dhaene,et al.  Robust Parametric Macromodeling Using Multivariate Orthonormal Vector Fitting , 2008, IEEE Transactions on Microwave Theory and Techniques.

[5]  Stefano Grivet-Talocia,et al.  Passivity enforcement via perturbation of Hamiltonian matrices , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[6]  Jos F. Sturm,et al.  A Matlab toolbox for optimization over symmetric cones , 1999 .

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

[8]  Larry Pileggi,et al.  IC Interconnect Analysis , 2002 .

[9]  S. Grivet-Talocia,et al.  A Parameterized Macromodeling Strategy With Uniform Stability Test , 2009, IEEE Transactions on Advanced Packaging.

[10]  Ramachandra Achar,et al.  Simulation of high-speed interconnects , 2001, Proc. IEEE.

[11]  M.S. Nakhla,et al.  Parametric Macromodeling of Multiport Networks from Tabulated Data , 2007, 2007 IEEE Electrical Performance of Electronic Packaging.

[12]  P. Triverio,et al.  Passive parametric macromodeling from sampled frequency data , 2010, 2010 IEEE 14th Workshop on Signal Propagation on Interconnects.

[13]  A. Semlyen,et al.  Rational approximation of frequency domain responses by vector fitting , 1999 .

[14]  T. Dhaene,et al.  Stability and Passivity Enforcement of Parametric Macromodels in Time and Frequency Domain , 2008, IEEE Transactions on Microwave Theory and Techniques.

[15]  T. Dhaene,et al.  Efficient Algorithm for Passivity Enforcement of $S$-Parameter-Based Macromodels , 2009, IEEE Transactions on Microwave Theory and Techniques.

[16]  Michel S. Nakhla,et al.  Global passivity enforcement algorithm for macromodels of interconnect subnetworks characterized by tabulated data , 2005, IEEE Transactions on Very Large Scale Integration (VLSI) Systems.

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

[18]  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 .

[19]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[20]  B. Gustavsen,et al.  Enforcing Passivity for Admittance Matrices Approximated by Rational Functions , 2001, IEEE Power Engineering Review.