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PEEC Model (SLICOT)


PEEC Model (SLICOT)
Background
Benchmark ID

peecModel_n480m1q1

Category

slicot

System-Class

LTI-FOS

Parameters
nstates
480
ninputs

1

noutputs

1

nparameters

0

components

A, B, C, E

Copyright
License

NA

Creator

Christian Himpe

Editor
Location

NA


Description: Partial Element Equivalent Circuit Model

This benchmark models a PEEC of patch antenna structure. More details can be found in [1], [2], [3] and [4].

For a larger PEEC model see the alternative Peek Inductor benchmark.


Origin

This benchmark is part of the SLICOT Benchmark Examples for Model Reduction[5].


Data

The system matrices A, B, C, E are available from the SLICOT benchmarks page: peec.zip and are stored as MATLAB .mat file.


Dimensions

System structure:


\begin{array}{rcl}
E\dot{x}(t) &=& Ax(t) + Bu(t) \\
y(t) &=& Cx(t)
\end{array}

System dimensions:

A \in \mathbb{R}^{480 \times 480}, B \in \mathbb{R}^{480 \times 1}, C \in \mathbb{R}^{1 \times 480}, E \in \mathbb{R}^{480 \times 480}


Citation

To cite this benchmark, use the following references:

  • For the benchmark itself and its data:
Niconet e.V., SLICOT - Subroutine Library in Systems and Control Theory, http://www.slicot.org
@MANUAL{slicot_peec,
 title =        {{SLICOT} - Subroutine Library in Systems and Control Theory},
 organization = {Niconet e.V.}
 address =      {\url{http://www.slicot.org}},
 key =          {SLICOT}
}
  • For the background on the benchmark:
@INPROCEEDINGS{HeeRBetal92,
 author =       {H. Heeb and A.E. Ruehli and J.E. Bracken and R.A. Rohrer},
 title =        {Three Dimensional Circuit Oriented Electromagnetic Modeling for VLSI Interconnects},
 booktitle =    {Proceedings of the 1992 IEEE International Conference on Computer Design: VLSI in Computers \& Processors},
 pages =        {218--221},
 year =         {1992},
 doi =          {10.1109/ICCD.1992.276253}
}

References

  1. H. Heeb, A.E. Ruehli, J.E. Bracken, R.A. Rohrer. Three Dimensional Circuit Oriented Electromagnetic Modeling for VLSI Interconnects. Proceedings of the 1992 IEEE International Conference on Computer Design: VLSI in Computers & Processors: 218--221, 1992.
  2. E. Chiprout, M.S. Nakhla. Asymptotic Waveform Evaluation and Moment Matching for Interconnect Analysis. The Springer International Series in Engineering and Computer Science, vol 252, Springer, 1999.
  3. E.J. Grimme. Krylov Projection Methods for Model Reduction. PhD Thesis, University of Illinois at Urbana-Champaign, 1998.
  4. Y. Chahlaoui, P. Van Dooren, A collection of Benchmark examples for model reduction of linear time invariant dynamical systems, Working Note 2002-2: 2002.
  5. Y. Chahlaoui, P. Van Dooren, Benchmark Examples for Model Reduction of Linear Time-Invariant Dynamical Systems, Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 379--392, 2005.