Tulip

Tulip (Transmission line per unit length and in-cell parameters) is a solver to obtain the per unit length (PUL) $C$ and $L$ matrices which characterize electromagnetic propagation within a multiconductor tranmission line (MTL). Tulip is based on finite element methods to solver an electroestatic problem for each conductor. Some of its features are:

• Calculation of p.u.l $C$ and $L$ matrices.
• Third order isoparametric elements.
• Support for dielectric materials.
• Open boundary conditions.
• Works on closed and open MTLs.
• Multilevel domain decomposition.
• Uses a modified MFEM solver engine available here.
• Result visualization with Paraview.
• Start from .step CAD files with the integrated gmsh workflow.

Compile and testing

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)

Configure and build presets are available. For instance, to configure in windows you can use

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

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

   ctest --test-dir ./<build folder> --output-on-failure

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 tulip from command line as,

    tulip.exe -i <input file>

The input file format is described here.

By default, tulip will generate a file called matrices.tulip.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.

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

tulip is licensed under GPL v2. 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.