Transmission Lines - Revision history

Malhotra: infobox edit

2023-11-30T09:44:52Z

infobox edit

← Older revision		Revision as of 09:44, 30 November 2023
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	{{Infobox		{{Infobox
	\|Title = Transmission Lines ~~(SLICOT)~~		\|Title = Transmission Lines
	\|Benchmark ID = ~~transmissionLines_n256m2q2~~		\|Benchmark ID =
	\|Category = ~~slicot~~		* transmissionLines_n1600m14q14
			* transmissionLines_n2624m30q30
			* transmissionLines_n5248m62q62
			\|Category = misc
	\|System-Class = LTI-FOS		\|System-Class = LTI-FOS
	\|nstates = ~~256~~		\|nstates =
	\|ninputs = 2		* 1600
	\|noutputs = 2		* 2624
			* 5248
			\|ninputs =
			* 14
			* 30
			* 62
			\|noutputs =
			* 14
			* 30
			* 62
	\|nparameters = 0		\|nparameters = 0
	\|components = A, B, C, E		\|components = A, B, C, E
	\|License = NA		\|License = NA
	\|Creator = [[User:~~Himpe~~]]		\|Creator = [[User:Deluca]]
	\|Editor =		\|Editor =
			* [[User:Deluca]]
	* [[User:Himpe]]		* [[User:Himpe]]
	\|Zenodo-link = NA		\|Zenodo-link = NA

Malhotra: infobox string

2023-11-30T09:43:32Z

infobox string

@@ Line 4: / Line 4: @@
 [[Category:first differential order]]
 [[Category:Differential_algebraic_system]]
 ==Definition==

Lund: correction dimension from 2654 to 2624

2022-08-26T13:31:28Z

correction dimension from 2654 to 2624

← Older revision		Revision as of 13:31, 26 August 2022
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	\| <tt>dsysPEEC-MTLn1600m14</tt> \|\| <math>G</math>, <math>B</math>, <math>C</math> (<math>L=B^T</math>) \|\| 1600 \|\| 14		\| <tt>dsysPEEC-MTLn1600m14</tt> \|\| <math>G</math>, <math>B</math>, <math>C</math> (<math>L=B^T</math>) \|\| 1600 \|\| 14
	\|-		\|-
	\| <tt>dsysPEEC-~~MTLn2654m30~~</tt> \|\| dss object (*) \|\| ~~2654~~ \|\| 30		\| <tt>dsysPEEC-MTLn2624m30</tt> \|\| dss object (*) \|\| 2624 \|\| 30
	\|-		\|-
	\| <tt>dsysPEEC-MTLn5248m62</tt> \|\| dss object (*) \|\| 5248 \|\| 62		\| <tt>dsysPEEC-MTLn5248m62</tt> \|\| dss object (*) \|\| 5248 \|\| 62
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	<tt>dsysPEEC-MTLn1600m14</tt>: <math>N = 1600</math>, <math>M = 14</math>,		<tt>dsysPEEC-MTLn1600m14</tt>: <math>N = 1600</math>, <math>M = 14</math>,
	<tt>dsysPEEC-~~MTLn2654m30~~</tt>: <math>N = ~~2654~~</math>, <math>M = 30</math>,		<tt>dsysPEEC-MTLn2624m30</tt>: <math>N = 2624</math>, <math>M = 30</math>,
	<tt>dsysPEEC-MTLn5248m62</tt>: <math>N = 5248</math>, <math>M = 62</math>		<tt>dsysPEEC-MTLn5248m62</tt>: <math>N = 5248</math>, <math>M = 62</math>

Himpe at 12:53, 25 August 2022

2022-08-25T12:53:50Z

← Older revision		Revision as of 12:53, 25 August 2022
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	[[Category:time invariant]]		[[Category:time invariant]]
	[[Category:first differential order]]		[[Category:first differential order]]
	[[Category:~~DAE index one~~]]		[[Category:Differential_algebraic_system]]

	==Definition==		==Definition==

Mitchell: ' versus ^T typo

2022-03-24T13:55:35Z

' versus ^T typo

← Older revision		Revision as of 13:55, 24 March 2022
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	! Name of the data set !! Matrices !! Dimension !! Number of inputs		! Name of the data set !! Matrices !! Dimension !! Number of inputs
	\|-		\|-
	\| <tt>dsysPEEC-MTLn1600m14</tt> \|\| <math>G</math>, <math>B</math>, <math>C</math> (<math>L=B'</math>) \|\| 1600 \|\| 14		\| <tt>dsysPEEC-MTLn1600m14</tt> \|\| <math>G</math>, <math>B</math>, <math>C</math> (<math>L=B^T</math>) \|\| 1600 \|\| 14
	\|-		\|-
	\| <tt>dsysPEEC-MTLn2654m30</tt> \|\| dss object (*) \|\| 2654 \|\| 30		\| <tt>dsysPEEC-MTLn2654m30</tt> \|\| dss object (*) \|\| 2654 \|\| 30

Himpe: Fix CrossRefs

2021-08-27T07:51:39Z

Fix CrossRefs

← Older revision		Revision as of 07:51, 27 August 2021
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	:<math> \textbf{i}_e(t)=\textbf{K}^T\textbf{i}_s(t). </math>		:<math> \textbf{i}_e(t)=\textbf{K}^T\textbf{i}_s(t). </math>

	An example of PEEC circuit electrical quantities for a conductor elementary cell is illustrated, in the Laplace domain, in ~~<xr id="fig:peec"/>~~, where the current-controlled voltage sources <math>sL_{p,ij}I_j</math> and the current-controlled current sources <math>I_{cci}</math> model the magnetic and electric coupling, respectively.		An example of PEEC circuit electrical quantities for a conductor elementary cell is illustrated, in the Laplace domain, in Fig. 1, where the current-controlled voltage sources <math>sL_{p,ij}I_j</math> and the current-controlled current sources <math>I_{cci}</math> model the magnetic and electric coupling, respectively.

	Thus, assuming that we are interested in generating an admittance representation having <math>n_p</math> output currents under voltage excitation, and let us denote with <math>n_n</math> the number of nodes, <math>n_i</math> the number of branches where currents flow, <math>n_c</math> the number of branches of conductors, <math>n_d</math> the number of dielectrics, <math>n_d</math> the additional unknowns since dielectrics require the excess capacitance to model the polarization charge, and <math>n_u=n_i+n_d+n_n+n_p</math> the global number of unknowns, and if the [[wikipedia:Modified_nodal_analysis\|Modified Nodal Analysis]] (MNA) approach is used, we have:		Thus, assuming that we are interested in generating an admittance representation having <math>n_p</math> output currents under voltage excitation, and let us denote with <math>n_n</math> the number of nodes, <math>n_i</math> the number of branches where currents flow, <math>n_c</math> the number of branches of conductors, <math>n_d</math> the number of dielectrics, <math>n_d</math> the additional unknowns since dielectrics require the excess capacitance to model the polarization charge, and <math>n_u=n_i+n_d+n_n+n_p</math> the global number of unknowns, and if the [[wikipedia:Modified_nodal_analysis\|Modified Nodal Analysis]] (MNA) approach is used, we have:
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	==Data==		==Data==

	All data sets (in a MATLAB formatted data, downloadable in [[Media:TransmissionLines.rar\|TransmissionLines.rar]]) in ~~<xr id="tab:peec"/>~~ are referred to as the multiconductor '''transmission lines''' in a MNA form, coming from the PEEC method (then, with dense matrices since they are obtained from the integral formulation of Maxwell's equation).		All data sets (in a MATLAB formatted data, downloadable in [[Media:TransmissionLines.rar\|TransmissionLines.rar]]) in Fig. 1 are referred to as the multiconductor '''transmission lines''' in a MNA form, coming from the PEEC method (then, with dense matrices since they are obtained from the integral formulation of Maxwell's equation).
	The LTI descriptor systems have the form of, equation <math>(1)</math>, where <math>C\in\mathbb R^{n\times n}</math> (with <math>C=C^T\ge0</math>), <math>G\in\mathbb R^{n\times n}</math> (with <math>G+G^T\ge0</math>), <math>B\in\mathbb R^{n\times m}</math> and <math>L=B^T</math>, <math>x(t)\in\mathbb R^n</math> is the vector of variables (charges, currents and node potential), the input signal <math>u(t)\in\mathbb R^m</math> are the sources (current or voltage generators depending on what one wants to analyze:		The LTI descriptor systems have the form of, equation <math>(1)</math>, where <math>C\in\mathbb R^{n\times n}</math> (with <math>C=C^T\ge0</math>), <math>G\in\mathbb R^{n\times n}</math> (with <math>G+G^T\ge0</math>), <math>B\in\mathbb R^{n\times m}</math> and <math>L=B^T</math>, <math>x(t)\in\mathbb R^n</math> is the vector of variables (charges, currents and node potential), the input signal <math>u(t)\in\mathbb R^m</math> are the sources (current or voltage generators depending on what one wants to analyze:
	the impedances or the admittances) linked to some node, the output <math>y(t)\in\mathbb R^m</math> are the observation across the node where the sources are inserted. An accurate model of the dynamics of these data sets is generated between 10 kHz and 20 GHz.		the impedances or the admittances) linked to some node, the output <math>y(t)\in\mathbb R^m</math> are the observation across the node where the sources are inserted. An accurate model of the dynamics of these data sets is generated between 10 kHz and 20 GHz.

Mlinaric: Fix category name

2021-07-03T18:23:24Z

Fix category name

← Older revision		Revision as of 18:23, 3 July 2021
Line 3:		Line 3:
	[[Category:time invariant]]		[[Category:time invariant]]
	[[Category:first differential order]]		[[Category:first differential order]]
	[[Category:DAE index 1]]		[[Category:DAE index one]]
	==Definition==		==Definition==

Himpe at 09:06, 6 June 2019

2019-06-06T09:06:01Z

← Older revision		Revision as of 09:06, 6 June 2019
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	:<math>		:<math>
	\begin{array}{rcl}		\begin{array}{rcl}
	C\dot{x}(t) &=& Gx(t) + Bu(t) \\		E\dot{x}(t) &=& Ax(t) + Bu(t) \\
	y(t) &=& L x(t)		y(t) &=& C x(t)
	\end{array}		\end{array}
	</math>		</math>
Line 125:		Line 125:
	System dimensions:		System dimensions:

	<math>C \in \mathbb{R}^{N \times N}</math>,		<math>E \in \mathbb{R}^{N \times N}</math>,
	<math>G \in \mathbb{R}^{N \times N}</math>,		<math>A \in \mathbb{R}^{N \times N}</math>,
	<math>B \in \mathbb{R}^{N \times M}</math>,		<math>B \in \mathbb{R}^{N \times M}</math>,
	<math>L \in \mathbb{R}^{M \times N}</math>.		<math>C \in \mathbb{R}^{M \times N}</math>.

	System variants:		System variants:

Himpe: Various fixes and add dimensions section.

2018-11-12T14:36:01Z

Various fixes and add dimensions section.

Show changes

Feng at 08:35, 3 June 2013

2013-06-03T08:35:43Z

← Older revision		Revision as of 08:35, 3 June 2013
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	[[Category:linear]]		[[Category:linear]]
	[[Category:time invariant]]		[[Category:time invariant]]
	~~[[Category:parametric 2-5 parameters]]~~
	[[Category:first differential order]]		[[Category:first differential order]]
	[[Category:DAE index 1]]		[[Category:DAE index 1]]