2019
DOI: 10.1002/jnm.2669
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Transformer capacitance matrix computation using 3D boundary element method and adaptive cross approximation

Abstract: In this paper, a solver based on a 3D boundary element method (BEM) is presented and verified on a transformer geometry. Using a triangular surface mesh of a winding, the unknown charge distribution is found from known potentials of surfaces using the integral equation approach and point matching. The capacitance matrix is calculated from known potentials in nodes of the system. The application of BEM and point‐matching results in a fully populated system matrix. Therefore, a matrix reduction technique adaptiv… Show more

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Cited by 5 publications
(2 citation statements)
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“…This section will provide a brief description of the ACA algorithm used to improve the BEM solver for capacitance matrix calculation. The implementation and efficiency of the ACA algorithm for different problems can be found in [25][26][27][28][29][30][31].…”
Section: Adaptive Cross-approximationmentioning
confidence: 99%
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“…This section will provide a brief description of the ACA algorithm used to improve the BEM solver for capacitance matrix calculation. The implementation and efficiency of the ACA algorithm for different problems can be found in [25][26][27][28][29][30][31].…”
Section: Adaptive Cross-approximationmentioning
confidence: 99%
“…The stopping criterion in Equation ( 20) allows for the adaptive determination of approximated matrix rank. The main steps of the ACA algorithm are [30]:…”
Section: Adaptive Cross-approximationmentioning
confidence: 99%