Transmission Lines (SLICOT) - Revision history

Lund: /* Citation */ Correct DOI typo

2023-11-23T13:26:07Z

Citation: Correct DOI typo

← Older revision		Revision as of 13:26, 23 November 2023
Line 64:		Line 64:
	pages = {297--302},		pages = {297--302},
	year = {1998},		year = {1998},
	doi = {~~110~~.1145/277044.277132}		doi = {10.1145/277044.277132}
	}		}


	==References==		==References==

Lund: remove stub and preliminary warnings

2022-08-26T07:53:35Z

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]]
Line 6:		Line 4:
	[[Category:Dense]]		[[Category:Dense]]
	[[Category:Differential_algebraic_system]]		[[Category:Differential_algebraic_system]]

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

	==Description: Model of a Transmission Line Model==		==Description: Model of a Transmission Line Model==

Himpe at 12:56, 25 August 2022

2022-08-25T12:56:37Z

← Older revision		Revision as of 12:56, 25 August 2022
Line 5:		Line 5:
	[[Category:MIMO]]		[[Category:MIMO]]
	[[Category:Dense]]		[[Category:Dense]]
	[[Category:~~DAE_order_unspecified‏‎~~]]		[[Category:Differential_algebraic_system]]

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

Himpe at 09:04, 6 June 2019

2019-06-06T09:04:51Z

← Older revision		Revision as of 09:04, 6 June 2019
Line 5:		Line 5:
	[[Category:MIMO]]		[[Category:MIMO]]
	[[Category:Dense]]		[[Category:Dense]]
			[[Category:DAE_order_unspecified‏‎]]

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

	==Description: Model of ~~an Atmospheric Storm Track~~==		==Description: Model of a Transmission Line Model==

	This benchmark models impedence of interconnected structures of a [[wikipedia:Transmission_line\|transmission line]].		This benchmark models impedence of interconnected structures of a [[wikipedia:Transmission_line\|transmission line]].

Himpe: init transmission lines 2

2018-08-09T08:48:11Z

init transmission lines 2

New page

{{preliminary}} 

[[Category:benchmark]]
[[Category:SLICOT]]
[[Category:MIMO]]
[[Category:Dense]]

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

==Description: Model of an Atmospheric Storm Track==

This benchmark models impedence of interconnected structures of a [[wikipedia:Transmission_line|transmission line]].
More details can be found in <ref name="li99"/>, <ref name="marques98"/> and <ref name="chahlaoui02"/>.

For a larger transmission lines model see the alternative [[Transmission_Lines]] 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/tline.zip tline.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}^{256 \times 256}</math>,
<math>B \in \mathbb{R}^{256 \times 2}</math>,
<math>C \in \mathbb{R}^{2 \times 256}</math>,
<math>E \in \mathbb{R}^{256 \times 256}</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_tline,
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{MarKWetal98,
author = <nowiki>{N. Marques and M. Kamon and J. White and L.M. Silveira}</nowiki>,
title = {A mixed nodal-mesh formulation for efficient extraction and passive reduced-order modeling of 3D interconnects},
booktitle = {Proceedings of the 1998 Design and Automation Conference},
pages = {297--302},
year = {1998},
doi = {110.1145/277044.277132}
}

==References==

<references>

<ref name="li99"> J.R. Li, J. White. [https://doi.org/10.1109/ICCAD.1999.810679 Efficient model reduction of interconnect via approximate system gramians]. 1999 IEEE/ACM International Conference on Computer-Aided Design: 380--383, 1999.</ref>

<ref name="marques98"> N. Marques, M. Kamon, J. White, L.M. Silveira. [https://doi.org/10.1145/277044.277132 A mixed nodal-mesh formulation for efficient extraction and passive reduced-order modeling of 3D interconnects]. Proceedings of the 1998 Design and Automation Conference: 297--302, 1998.</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>