Malhotra: infobox string

2023-11-30T09:37:59Z

infobox string

@@ Line 3: / Line 3: @@
 [[Category:SISO]]
 [[Category:Sparse]]
 ==Description: Partial Element Equivalent Circuit Model==

Lund: remove stub and preliminary warnings

2022-08-26T07:53:00Z

remove stub and preliminary warnings

← Older revision		Revision as of 07:53, 26 August 2022
Line 1:		Line 1:
	~~{{preliminary}} <!-- Do not remove -->~~

	[[Category:benchmark]]		[[Category:benchmark]]
	[[Category:SLICOT]]		[[Category:SLICOT]]
	[[Category:SISO]]		[[Category:SISO]]
	[[Category:Sparse]]		[[Category:Sparse]]

	~~'''This is a stub. Please expand.'''~~

	==Description: Partial Element Equivalent Circuit Model==		==Description: Partial Element Equivalent Circuit Model==

Himpe: init peec slicot

2018-08-10T07:45:20Z

init peec slicot

New page

{{preliminary}} 

[[Category:benchmark]]
[[Category:SLICOT]]
[[Category:SISO]]
[[Category:Sparse]]

'''This is a stub. Please expand.'''

==Description: Partial Element Equivalent Circuit Model==

This benchmark models a [[wikipedia:Partial_element_equivalent_circuit|PEEC]] of patch antenna structure.
More details can be found in <ref name="heeb92"/>, <ref name="chiprout94"/>, <ref name="grimme97"/> and <ref name="chahlaoui02"/>.

For a larger PEEC model see the alternative [[Peek_Inductor|Peek Inductor]] benchmark.

==Origin==

This benchmark is part of the '''SLICOT Benchmark Examples for Model Reduction'''<ref name="chahlaoui05"/>.

==Data==

The system matrices <math>A</math>, <math>B</math>, <math>C</math>, <math>E</math> are available from the [http://slicot.org/20-site/126-benchmark-examples-for-model-reduction SLICOT benchmarks] page: [http://slicot.org/objects/software/shared/bench-data/peec.zip peec.zip] and are stored as MATLAB [https://www.mathworks.com/help/matlab/import_export/mat-file-versions.html .mat] file.

==Dimensions==

System structure:

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

System dimensions:

<math>A \in \mathbb{R}^{480 \times 480}</math>,
<math>B \in \mathbb{R}^{480 \times 1}</math>,
<math>C \in \mathbb{R}^{1 \times 480}</math>,
<math>E \in \mathbb{R}^{480 \times 480}</math>

==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 = <nowiki>{\url{http://www.slicot.org}}</nowiki>,
key = {SLICOT}
}

* For the background on the benchmark:

@INPROCEEDINGS{HeeRBetal92,
author = <nowiki>{H. Heeb and A.E. Ruehli and J.E. Bracken and R.A. Rohrer}</nowiki>,
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==

<references>

<ref name="chiprout94"> E. Chiprout, M.S. Nakhla. [https://doi.org/10.1007/978-1-4615-3116-6 Asymptotic Waveform Evaluation and Moment Matching for Interconnect Analysis]. The Springer International Series in Engineering and Computer Science, vol 252, Springer, 1999.</ref>

<ref name="grimme97"> E.J. Grimme. [http://hdl.handle.net/2142/81180 Krylov Projection Methods for Model Reduction]. PhD Thesis, University of Illinois at Urbana-Champaign, 1998.</ref>

<ref name="heeb92"> H. Heeb, A.E. Ruehli, J.E. Bracken, R.A. Rohrer. [https://doi.org/10.1109/ICCD.1992.276253 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.</ref>

<ref name="chahlaoui02"> Y. Chahlaoui, P. Van Dooren, [http://eprints.maths.manchester.ac.uk/1040/1/ChahlaouiV02a.pdf A collection of Benchmark examples for model reduction of linear time invariant dynamical systems], Working Note 2002-2: 2002.</ref>

<ref name="chahlaoui05"> Y. Chahlaoui, P. Van Dooren, [https://doi.org/10.1007/3-540-27909-1_24 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.</ref>

</references>

PEEC Model (SLICOT) - Revision history

Malhotra: infobox string

Lund: remove stub and preliminary warnings

Himpe: init peec slicot