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
- ↑ 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.
- ↑ 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.
- ↑ E.J. Grimme. Krylov Projection Methods for Model Reduction. PhD Thesis, University of Illinois at Urbana-Champaign, 1998.
- ↑ Y. Chahlaoui, P. Van Dooren, A collection of Benchmark examples for model reduction of linear time invariant dynamical systems, Working Note 2002-2: 2002.
- ↑ 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.