High Voltage Bushing

Model description

This example for POLARIS is taken from [1].

Sketch of the bushing

In order to see how to generate the bushing.yaml input file with the preprocessor of POLARIS, check the Preprocessor Tutorial.

The bushing is made of epoxy with \(\varepsilon_r=5\) and a cable and its extension are subject to a voltage of \(V_c=100\,kV\). Embedded into the dielectric (epoxy), there are 5 cylindrical foils: 4 of them are floating conductors with zero charge \(Q=0\,C\) and the outermost one is grounded \(V_g=0\,kV\).

Analysis

With the command

polaris -i bushing.mesh -s bushing.yaml

the simulation is executed.

Results

From the terminal output, one can extract the computed voltages on the interior foils (all in \(kV\))

#-------------------------------------------------------------------
# Floating potentials
#-------------------------------------------------------------------
# Name              Appl. charge      Voltage        
  Sheet-1           +0.00000000E+00   +7.12055373E+01
  Sheet-2           +0.00000000E+00   +5.18854437E+01
  Sheet-3           +0.00000000E+00   +3.54547347E+01
  Sheet-4           +0.00000000E+00   +1.91691088E+01

Note that, for a relatively coarse mesh, these results are in good agreement with the ones reported in [2].

Below are screenshots from ParaView.

Bushing model

Computed potential

1. Andjelic, Z., Wohlmuth, M., Krstajic, B., Steinbigler, H., Milojkovic, S. & Blaszczyk, A. Integral methods for the calculation of electric fields: for application in high voltage engineering. Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag, Scientific series of the International Bureau 10, I, 79 pp. (1992)

2. Münger, C., Börm, S. & Ostrowski, J. Dielectric breakdown prediction with GPU-accelerated BEM. In: Scientific Computing in Electrical Engineering: SCEE 2020, Eindhoven, The Netherlands, 137 pp. (2021), Arxiv.org