Peek Inductor - Revision history

Schuetz2 at 05:37, 17 June 2025

2025-06-17T05:37:13Z

← Older revision		Revision as of 05:37, 17 June 2025
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	title = {Peek Inductor},		title = {Peek Inductor},
	howpublished = {{MORwiki} -- Model Order Reduction Wiki},		howpublished = {{MORwiki} -- Model Order Reduction Wiki},
	url = <nowiki>{~~http~~://modelreduction.org/~~index.php~~/Peek_Inductor}</nowiki>,		url = <nowiki>{https://modelreduction.org/morwiki/Peek_Inductor}</nowiki>,
	year = {20XX}		year = {20XX}
	}		}

Malhotra: infobox string

2023-11-30T09:38:21Z

infobox string

@@ Line 1: / Line 1: @@
 [[Category:benchmark]]
 [[Category:Oberwolfach]]
 ==Description: Spiral Inductor PEEC Model==

Saak at 09:00, 14 December 2021

2021-12-14T09:00:59Z

← Older revision		Revision as of 09:00, 14 December 2021
Line 5:		Line 5:
	<figure id="fig1">[[File:Peek1.jpg\|490px\|thumb\|right\|<caption>Spiral inductor with part of overhanging copper plane</caption>]]</figure>		<figure id="fig1">[[File:Peek1.jpg\|490px\|thumb\|right\|<caption>Spiral inductor with part of overhanging copper plane</caption>]]</figure>

	The description of the [[wikipedia:Partial_element_equivalent_circuit\|PEEC]] model of a spiral inductor can be found in [https://~~www~~.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/PeekInductor.pdf PeekInductor.pdf].		The description of the [[wikipedia:Partial_element_equivalent_circuit\|PEEC]] model of a spiral inductor can be found in [https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/PeekInductor.pdf PeekInductor.pdf].

	The complex impedance is:		The complex impedance is:
Line 13:		Line 13:
	</math>		</math>

	A plots of <math>Resis(w)</math> can be found in [https://~~www~~.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/PeekInductor-Rspiral_skin.pdf PeekInductor-Rspiral_skin.pdf] and a plot of <math>Induc(w)</math> in [https://~~www~~.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/PeekInductor-Lspiral_skin.pdf PeekInductor-Lspiral_skin.pdf].		A plots of <math>Resis(w)</math> can be found in [https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/PeekInductor-Rspiral_skin.pdf PeekInductor-Rspiral_skin.pdf] and a plot of <math>Induc(w)</math> in [https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/PeekInductor-Lspiral_skin.pdf PeekInductor-Lspiral_skin.pdf].

	==Origin==		==Origin==
Line 29:		Line 29:
	</math>		</math>

	and can be downloaded as [https://~~www~~.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/PeekInductor-dim1e3-spiral_inductor_peec.tar.gz PeekInductor-dim1e3-spiral_inductor_peec.tar.gz] (10.5 MB).		and can be downloaded as [https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/PeekInductor-dim1e3-spiral_inductor_peec.tar.gz PeekInductor-dim1e3-spiral_inductor_peec.tar.gz] (10.5 MB).

	Short [[wikipedia:MATLAB\|Matlab]] files to:		Short [[wikipedia:MATLAB\|Matlab]] files to:
Line 37:		Line 37:
	* produce symmetrized standard state-space system: <math>\dot{x}(t) = A_{symm}x(t)+ B_{symm}u(t)</math>, <math>y(t) = B_{symm}^\intercal x(t)</math>, where <math>A_{symm}</math> is symmetric.		* produce symmetrized standard state-space system: <math>\dot{x}(t) = A_{symm}x(t)+ B_{symm}u(t)</math>, <math>y(t) = B_{symm}^\intercal x(t)</math>, where <math>A_{symm}</math> is symmetric.

	can be found in [https://~~www~~.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/PeekInductor-plot_spiral.tar.gz PeekInductor-plot_spiral.tar.gz]		can be found in [https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/PeekInductor-plot_spiral.tar.gz PeekInductor-plot_spiral.tar.gz]

	==Dimensions==		==Dimensions==

Himpe: verify peek inductor

2018-07-27T08:53:26Z

verify peek inductor

@@ Line 1: / Line 1: @@
 [[Category:benchmark]]
 [[Category:Oberwolfach]]
@@ Line 9: / Line 5: @@
 <figure id="fig1">[[File:Peek1.jpg|490px|thumb|right|<caption>Spiral inductor with part of overhanging copper plane</caption>]]</figure>
-The description of the [[wikipedia:Partial_element_equivalent_circuit|PEEC]] model of a spiral inductor can be found in [https://portal.uni-freiburg.de/imteksimulation/downloads/benchmark/Peek%20inductor%20%2838891%29/files/fileinnercontentproxy.2010-02-08.4392594278 LiKamon.pdf].
+The description of the [[wikipedia:Partial_element_equivalent_circuit|PEEC]] model of a spiral inductor can be found in [https://www.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/PeekInductor.pdf PeekInductor.pdf].
 The complex impedance is:
@@ Line 17: / Line 13: @@
 </math>
-A plots of <math>Resis(w)</math> can be found in [https://portal.uni-freiburg.de/imteksimulation/downloads/benchmark/Peek%20inductor%20%2838891%29/files/fileinnercontentproxy.2010-02-08.4513852526 Rspiral_skin.pdf] and a plot of <math>Induc(w)</math> in [https://portal.uni-freiburg.de/imteksimulation/downloads/benchmark/Peek%20inductor%20%2838891%29/files/fileinnercontentproxy.2010-02-08.4555933846 Lspiral_skin.pdf].
+A plots of <math>Resis(w)</math> can be found in [https://www.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/PeekInductor-Rspiral_skin.pdf PeekInductor-Rspiral_skin.pdf] and a plot of <math>Induc(w)</math> in [https://www.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/PeekInductor-Lspiral_skin.pdf PeekInductor-Lspiral_skin.pdf].
 ==Origin==
@@ Line 59: / Line 55: @@
 <math>A \in \mathbb{R}^{1434 \times 1434}</math>,
 <math>B \in \mathbb{R}^{1434 \times 1}</math>.
 ==References==

Himpe: Update benchmark data file links

2018-07-17T10:45:34Z

Update benchmark data file links

← Older revision		Revision as of 10:45, 17 July 2018
Line 33:		Line 33:
	</math>		</math>

	and can be downloaded as [https://~~portal~~.~~uni~~-~~freiburg~~.de/~~imteksimulation~~/~~downloads~~/~~benchmark~~/~~Peek%20inductor%20%2838891%29/files/fileinnercontentproxy~~.~~2010~~-02-~~08.4495319327~~ spiral_inductor_peec.tar.gz] (10.5 MB).		and can be downloaded as [https://www.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/PeekInductor-dim1e3-spiral_inductor_peec.tar.gz PeekInductor-dim1e3-spiral_inductor_peec.tar.gz] (10.5 MB).

	Short [[wikipedia:MATLAB\|Matlab]] files to:		Short [[wikipedia:MATLAB\|Matlab]] files to:
Line 41:		Line 41:
	* produce symmetrized standard state-space system: <math>\dot{x}(t) = A_{symm}x(t)+ B_{symm}u(t)</math>, <math>y(t) = B_{symm}^\intercal x(t)</math>, where <math>A_{symm}</math> is symmetric.		* produce symmetrized standard state-space system: <math>\dot{x}(t) = A_{symm}x(t)+ B_{symm}u(t)</math>, <math>y(t) = B_{symm}^\intercal x(t)</math>, where <math>A_{symm}</math> is symmetric.

	can be found in [https://~~portal~~.~~uni~~-~~freiburg~~.de/~~imteksimulation~~/~~downloads~~/~~benchmark~~/~~Peek%20inductor%20%2838891%29/files/fileinnercontentproxy~~.~~2010~~-~~02-08.4591806366~~ plot_spiral.tar.gz]		can be found in [https://www.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/PeekInductor-plot_spiral.tar.gz PeekInductor-plot_spiral.tar.gz]

	==Dimensions==		==Dimensions==
Line 66:		Line 66:
	<ref name="korvink2005"> J.G. Korvink, E.B. Rudnyi, <span class="plainlinks">[https://doi.org/10.1007/3-540-27909-1_11 Oberwolfach Benchmark Collection]</span>, Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 311--315, 2005.</ref>		<ref name="korvink2005"> J.G. Korvink, E.B. Rudnyi, <span class="plainlinks">[https://doi.org/10.1007/3-540-27909-1_11 Oberwolfach Benchmark Collection]</span>, Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 311--315, 2005.</ref>

	<ref name="li2005">J.R. Li, M. Kamon, <span class="plainlinks">[https://doi.org/10.1007/3-540-27909-~~1_23PEEC~~ Model of a Spiral Inductor Generated by Fasthenry]</span>. In: Dimension Reduction of Large-Scale Systems. Lecture Notes in Computational Science and Engineering, vol 45: 373--377, 2005.</ref>		<ref name="li2005">J.R. Li, M. Kamon, <span class="plainlinks">[https://doi.org/10.1007/3-540-27909-1_23 PEEC Model of a Spiral Inductor Generated by Fasthenry]</span>. In: Dimension Reduction of Large-Scale Systems. Lecture Notes in Computational Science and Engineering, vol 45: 373--377, 2005.</ref>

	</references>		</references>

Saak at 14:48, 6 March 2018

2018-03-06T14:48:19Z

← Older revision		Revision as of 14:48, 6 March 2018
Line 4:		Line 4:

	[[Category:benchmark]]		[[Category:benchmark]]
			[[Category:Oberwolfach]]


	==Description: Spiral Inductor PEEC Model==		==Description: Spiral Inductor PEEC Model==

Himpe: Added dimension section and fixes

2018-03-01T11:29:50Z

Added dimension section and fixes

← Older revision		Revision as of 11:29, 1 March 2018
Line 22:		Line 22:
	==Origin==		==Origin==

	This benchmark is part of the '''Oberwolfach Benchmark Collection'''<ref name="korvink2005"/>; No. 38891.		This benchmark is part of the '''Oberwolfach Benchmark Collection'''<ref name="korvink2005"/>; No. 38891, see <ref name="li2005"/>.

	==Data==		==Data==
Line 39:		Line 39:

	* plot <math>Resis(w)</math> and <math>Induc(w)</math>,		* plot <math>Resis(w)</math> and <math>Induc(w)</math>,
	* perform a PRIMA reduction of order 50,		* perform a [[PRIMA]] reduction of order 50,
	* produce symmetrized standard state-space system: <math>\dot{x}(t) = A_{symm}x(t)+ B_{symm}u(t)</math>, <math>y(t) = B_{symm}^\intercal x(t)</math>, where <math>A_{symm}</math> is symmetric.		* produce symmetrized standard state-space system: <math>\dot{x}(t) = A_{symm}x(t)+ B_{symm}u(t)</math>, <math>y(t) = B_{symm}^\intercal x(t)</math>, where <math>A_{symm}</math> is symmetric.

	can be found in [https://portal.uni-freiburg.de/imteksimulation/downloads/benchmark/Peek%20inductor%20%2838891%29/files/fileinnercontentproxy.2010-02-08.4591806366 plot_spiral.tar.gz]		can be found in [https://portal.uni-freiburg.de/imteksimulation/downloads/benchmark/Peek%20inductor%20%2838891%29/files/fileinnercontentproxy.2010-02-08.4591806366 plot_spiral.tar.gz]

			==Dimensions==

			System structure:

			:<math>
			\begin{align}
			E \dot{x}(t) &= Ax(t) + Bu(t) \\
			y(t) &= B^\intercal x(t)
			\end{align}
			</math>

			System dimensions:

			<math>E \in \mathbb{R}^{1434 \times 1434}</math>,
			<math>A \in \mathbb{R}^{1434 \times 1434}</math>,
			<math>B \in \mathbb{R}^{1434 \times 1}</math>.

	==References==		==References==
Line 49:		Line 66:

	<ref name="korvink2005"> J.G. Korvink, E.B. Rudnyi, <span class="plainlinks">[https://doi.org/10.1007/3-540-27909-1_11 Oberwolfach Benchmark Collection]</span>, Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 311--315, 2005.</ref>		<ref name="korvink2005"> J.G. Korvink, E.B. Rudnyi, <span class="plainlinks">[https://doi.org/10.1007/3-540-27909-1_11 Oberwolfach Benchmark Collection]</span>, Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 311--315, 2005.</ref>

			<ref name="li2005">J.R. Li, M. Kamon, <span class="plainlinks">[https://doi.org/10.1007/3-540-27909-1_23PEEC Model of a Spiral Inductor Generated by Fasthenry]</span>. In: Dimension Reduction of Large-Scale Systems. Lecture Notes in Computational Science and Engineering, vol 45: 373--377, 2005.</ref>

	</references>		</references>

Himpe: Added Peek Inductor

2018-02-28T15:34:45Z

Added Peek Inductor

New page

{{preliminary}} 

[[Category:benchmark]]

==Description: Spiral Inductor PEEC Model==
<figure id="fig1">[[File:Peek1.jpg|490px|thumb|right|<caption>Spiral inductor with part of overhanging copper plane</caption>]]</figure>

The description of the [[wikipedia:Partial_element_equivalent_circuit|PEEC]] model of a spiral inductor can be found in [https://portal.uni-freiburg.de/imteksimulation/downloads/benchmark/Peek%20inductor%20%2838891%29/files/fileinnercontentproxy.2010-02-08.4392594278 LiKamon.pdf].

The complex impedance is:

:<math>
Z(w) = Resis(w)+i*w*Induc(w) = G(i*w)^{-1}=(B^\intercal(-A+i*w*E)^{-1}B)^{-1}
</math>

A plots of <math>Resis(w)</math> can be found in [https://portal.uni-freiburg.de/imteksimulation/downloads/benchmark/Peek%20inductor%20%2838891%29/files/fileinnercontentproxy.2010-02-08.4513852526 Rspiral_skin.pdf] and a plot of <math>Induc(w)</math> in [https://portal.uni-freiburg.de/imteksimulation/downloads/benchmark/Peek%20inductor%20%2838891%29/files/fileinnercontentproxy.2010-02-08.4555933846 Lspiral_skin.pdf].

==Origin==

This benchmark is part of the '''Oberwolfach Benchmark Collection'''<ref name="korvink2005"/>; No. 38891.

==Data==

The model is of order <math>N=1434</math> and of the form:
:<math>
\begin{array}{rcl}
E \dot{x}(t) &=& Ax(t) + Bu(t) \\
y(t) &=& B^\intercal x(t)
\end{array}
</math>

and can be downloaded as [https://portal.uni-freiburg.de/imteksimulation/downloads/benchmark/Peek%20inductor%20%2838891%29/files/fileinnercontentproxy.2010-02-08.4495319327 spiral_inductor_peec.tar.gz] (10.5 MB).

Short [[wikipedia:MATLAB|Matlab]] files to:

* plot <math>Resis(w)</math> and <math>Induc(w)</math>,
* perform a PRIMA reduction of order 50,
* produce symmetrized standard state-space system: <math>\dot{x}(t) = A_{symm}x(t)+ B_{symm}u(t)</math>, <math>y(t) = B_{symm}^\intercal x(t)</math>, where <math>A_{symm}</math> is symmetric.

can be found in [https://portal.uni-freiburg.de/imteksimulation/downloads/benchmark/Peek%20inductor%20%2838891%29/files/fileinnercontentproxy.2010-02-08.4591806366 plot_spiral.tar.gz]

==References==

<references>

<ref name="korvink2005"> J.G. Korvink, E.B. Rudnyi, <span class="plainlinks">[https://doi.org/10.1007/3-540-27909-1_11 Oberwolfach Benchmark Collection]</span>, Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 311--315, 2005.</ref>

</references>