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Electric 3D-simulation of metallized film capacitors

by J. Ostrowski and R. Hiptmair and H. Fuhrmann

(Report number 2006-02)

Abstract
Purpose: This paper deals with the computation of time-harmonic electric potentials, currents, and surface charge distributions inside self-healing metallized film capacitors in three dimensions. A 50 Hz exciting voltage is applied at contacts. Design/methodology/approach: Extreme aspect ratios warrant dimensional reduction: the metallization is modelled as a two-dimensional shell. This greatly reduces computational costs and makes possible an excellent resolution of the geometry. An integro-differential equation for the complex amplitudes of the electric potential and surface charge densities on this shell is derived and discretized by means of boundary elements (BEM). Findings: Adaptive cross approximation (ACA) and $\mathcal{H}$-matrix technology is employed for matrix compression and preconditioning of iterative solvers. This permits us to use fine surface meshes and achieve satisfactory accuracy as demonstrated in numerical experiments. Research limitations/implications: The model is based on an electroquasistatic approach, thus it is valid for low frequencies only. Practical implications: Numerical experiments of sophisticated real-life capacitor-designs show the efficacy of the method for industrial applications. Originality/value: We developed and implemented a novel model for the three-dimensional electric field computation inside metallized film capacitors in the frequency domain.

Keywords: Film capacitors, electric field computation, extreme aspect ratios, dimensional reduction, boundary element method, $\H$-matrices

@Techreport{OHF06_351,
  author = {J. Ostrowski and R. Hiptmair and H. Fuhrmann},
  title = {Electric 3D-simulation of metallized film capacitors},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2006-02},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2006/2006-02.pdf },
  year = {2006}
}

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