Three dimensional circuit oriented electromagnetic modeling for VLSI interconnects

Heeb, H.; Ruehli, Albert E.; Bracken, J.E.; Rohrer, R.A.

doi:10.1109/iccd.1992.276253

Cited by 20 publications

(10 citation statements)

References 8 publications

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“…The inductive terms can be treated in a similar way, with couplings represented by a voltage source in series with the corresponding partial self-inductance [107,59]. For a detailed theoretical view to retarded PEEC models, refer to [107,105,108,104,53,59]. It is not meaningful to realize a time-delay for retarded models by using lossless transmission lines.…”

Section: Retardation Effects 51mentioning

confidence: 99%

Fast and Efficient Methods for Circuit-based Automotive EMC Simulation

Zitzmann

Weigel

2008

Springer Proceedings in Physics

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Section: Retardation Effects 51mentioning

confidence: 99%

Fast and Efficient Methods for Circuit-based Automotive EMC Simulation

Zitzmann

Weigel

2008

Springer Proceedings in Physics

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“…The third state-space system we discuss below is a PEEC state-space model of a patch antenna. This PEEC model was first presented in [10]. As will become clear when presenting the numerical data, this PEEC model is very challenging.…”

Section: Numerical Simulationsmentioning

confidence: 99%

“…In projection-based ROM [9], [11], this is implemented by means of an column-orthogonal matrix satisfying , being the -dimensional identity matrix, yielding the reduced-order model (4) with (5) 0018-9480/04$20.00 © 2004 IEEE (6) (7) (8) It is seen that and are real matrices and and are real matrices. Denoting the matrix (9) it is clear that the reduced-order model transfer function can be written as (10) where . The important point here is that is an idempotent matrix or oblique projector, i.e., , with constant orthogonal range projector since and , resulting in .…”

Section: Projection-based Rommentioning

confidence: 99%

“…The state-space description for the coaxial line and the interconnect structure are obtained by applying a finite-difference time-domain (FDTD)-like spatial discretization of the problem space while leaving the time variable intact. The patch antenna example is a benchmark example obtained by Heeb et al [10] applying the partial-element equivalent-circuit (PEEC) approach. We also stress the nice reduction in computational effort and the extrapolation power of the new method, as compared to previous methods.…”

Section: Introductionmentioning

confidence: 99%

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Laguerre-Based Bandlimited Reduced-Order Modeling

Knockaert

Zutter

Lippens

2004

IEEE Trans. Microwave Theory Techn.

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“…Some techniques for the reduction of NDDE systems have been proposed over the years [21]- [26]. In [23], an equivalent first-order system is computed by means of a Taylor expansion, and then MOR Krylov subspace methods [8], [9] are applied.…”

mentioning

confidence: 99%

Multipoint Full-Wave Model Order Reduction for Delayed PEEC Models With Large Delays

Ferranti

Nakhla

Antonini

et al. 2011

IEEE Trans. Electromagn. Compat.

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Abstract-The increase of operating frequencies requires 3-D electromagnetic (EM) methods, such as the partial element equivalent circuit (PEEC) method, for the analysis and design of highspeed circuits. Very large systems of equations are often produced by 3-D EM methods and model order reduction (MOR) techniques are used to reduce such a high complexity. When signal waveform rise times decrease and the corresponding frequency content increases, or the geometric dimensions become electrically large, time delays must be included in the modeling. A PEEC formulation, which include delay elements called τ PEEC method, becomes necessary and leads to systems of neutral delayed differential equations (NDDE). The reduction of large NDDE is still a very challenging research topic, especially for electrically large structures, where delays among coupled elements cannot be neglected or easily approximated by rational basis functions. We propose a novel model order technique for τ PEEC models that is able to accurately reduce electrically large systems with large delays. It is based on an adaptive multipoint expansion and MOR of equivalent first-order systems. The neutral delayed differential formulation is preserved in the reduced model. Pertinent numerical examples based on τ PEEC models validate the proposed MOR approach.Index Terms-Delayed partial element equivalent circuit (PEEC) method, model order reduction (MOR), neutral delayed differential equations (NDDE).

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Three dimensional circuit oriented electromagnetic modeling for VLSI interconnects

Cited by 20 publications

References 8 publications

Fast and Efficient Methods for Circuit-based Automotive EMC Simulation

Fast and Efficient Methods for Circuit-based Automotive EMC Simulation

Laguerre-Based Bandlimited Reduced-Order Modeling

Multipoint Full-Wave Model Order Reduction for Delayed PEEC Models With Large Delays

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