Transmission Lines (SLICOT)

Description: Model of a Transmission Line Model

This benchmark models impedence of interconnected structures of a transmission line. More details can be found in , and .

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.

Data

The system matrices $A$, $B$, $C$, $E$ are available from the SLICOT benchmarks page: tline.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:

$A\in {\mathbb{ℝ}}^{256\times 256}$, $B\in {\mathbb{ℝ}}^{256\times 2}$, $C\in {\mathbb{ℝ}}^{2\times 256}$, $E\in {\mathbb{ℝ}}^{256\times 256}$

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

• For the background on the benchmark:

@INPROCEEDINGS{MarKWetal98,
 author =       {N. Marques and M. Kamon and J. White and L.M. Silveira},
 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 =          {10.1145/277044.277132}
}