pulmtln

The pulmtln (Per Unit Length Multiconductor Transmission Line Network) solver obtains p.u.l. $C$ and $L$ matrices of the cross-section of MTL using an electrostatic approximation. Some of its features are the following:

• p.u.l $C$ and $L$ matrix extraction.
• Third order isoparametric elements.
• Support for dielectric materials.
• Open boundary conditions.
• Multilevel domain decomposition.
• Uses a modified MFEM solver engine available here.
• Result visualization with Paraview or VisIt.
• Start from .step CAD files using the step2gmsh workflow.

Compiling

Compilation needs vcpkg with the packages stated in the vcpkg.json manifest.

Additionally needs:

• mfem (with the version pointed by the external/mfem-geg submodule)

Compiling in windows (cmake)

Manually (Windows/Linux)

Compile mfem in external/mfem-geg

    cmake -S external/mfem-geg -B mfem-build/rls -DCMAKE_INSTALL_PREFIX=<path-to-mfem-install-dir>
    cmake --build mfem-build/rls --target install --config Release

Launch cmake in root.

    cmake -S . -B pulmtln-build/rls -DMFEM_DIR=<path-to-mfem-install-dir> -DCMAKE_TOOLCHAIN_FILE=<path-to-vcpkg/scripts/buildsystems/vcpkg.cmake>
    cmake --build pulmtln-build/rls --config Release

Compilation using presets

Configure and build presets are available. To configure

    cmake 
        -DCMAKE_FIND_USE_PACKAGE_REGISTRY=FALSE  
        --preset "msbuild-vcpkg"
        -S <project folder>
        -B <build folder>

which requires the following environment variables to be set (using export)

    VCPKG_ROOT=<vcpkg root folder>
    MFEM_PACKAGE=<mfem folder including cmake config package>

Using CMAKE_FIND_USE_PACKAGE_REGISTRY=FALSE warranties that no previously used package is used for compilation if any of the needed paths is not found (a questionable Windows feature).

Testing

Once compiled, test cases can be launched from the project root folder, with

   <build folder>/bin/Release/pulmtln_tests.exe 

Most cases will store results in the Results folder. Please check the codes in test folder for information on the validation cases and their expected tolerances.

Usage example

Call pulmtln from command line as,

    pulmtln.exe -i <input file>

The input file must be describe a JSON object which describes the problem. An example for the five_wires case (available here) follows,

    {
      "analysis": {
        "order": 3,
        "exportParaViewSolution": true,
        "exportVisItSolution": true,
        "exportFolder": "Results/five_wires/"
      },
      "model": {
        "materials": {
          "Conductor_0": {"type": "PEC", "tag": 1 },
          "Conductor_1": {"type": "PEC", "tag": 2 },
          "Conductor_2": {"type": "PEC", "tag": 3 },
          "Conductor_3": {"type": "PEC", "tag": 4 },
          "Conductor_4": {"type": "PEC", "tag": 5 },
          "Conductor_5": {"type": "PEC", "tag": 6 },
          "Dielectric_1": {"type": "Dielectric", "eps_r": 2.0, "tag": 8},
          "Dielectric_2": {"type": "Dielectric", "eps_r": 2.0, "tag": 9},
          "Dielectric_3": {"type": "Dielectric", "eps_r": 2.0, "tag": 10},
          "Dielectric_4": {"type": "Dielectric", "eps_r": 2.0, "tag": 11},
          "Dielectric_5": {"type": "Dielectric", "eps_r": 2.0, "tag": 12}
        },  
        "gmshFile": "five_wires.msh"
      }
    }

This object must contain the following entries:

• An analysis JSON object specifies options for the solver such as the order of the FEM basis and other exporting options.
• A model JSON object which specifies
  • the mesh through gmshFile. In this case the five_wires.msh file has been generated from a .step file using the step2gmsh program.
  • the materials object which identifies materials and boundaries assigned to each layer. The location in the mesh is done through its tag number which corresponds to a physical model in the mesh.

By default, pulmtln will generate a file called matrices.pulmtln.out.json which contains the $C$ and $L$ p.u.l parameters of the MTL. Each row and column corresponds to the N integer in Conductor_N. Conductor_0 is used as reference. These results have been cross-compared [here][test/DriverTest.cpp] to match with Ansys Maxwell. Comparison with SACAMOS does not produce satisfactory because of the different underlying analytical assumptions that are made.

If ExportParaviewSolution and/or ExportVisItSolution are defined as true in analysis, pulmtln will also export visualization results for each simulation performed. This means two results for each conductor different from zero: with and without accounting for dielectrics, used to compute the p.u.l $C$ and $L$ matrices, respectively. Below there is an example of the electric fields for the five_wires case visualized in Paraview with (above) and without (below) considering dielectrics.

License and copyright

pulmtln is licensed under BSD 3-Clause. Its copyright belongs to the University of Granada.

Acknowledgements

This project is funded by the following grants:

• HECATE - Hybrid ElectriC regional Aircraft distribution TEchnologies. HE-HORIZON-JU-Clean-Aviation-2022-01. European Union.
• ESAMA - Metodos numericos avanzados para el analisis de materiales electricos y magneticos en aplicaciones aerospaciales. PID2022-137495OB-C31. Spain.