engleski

Transformer capacitance matrix computation using 3D boundary element method and adaptive cross approximation

In this paper, a solver based on a 3D boundary element method (BEM) is pre-sented and verified on a transformer geometry. Using a triangular surface meshof a winding, the unknown charge distribution is found from known potentialsof surfaces using the integral equation approach and point matching. Thecapacitance matrix is calculated from known potentials in nodes of the system.The application of BEM and point‐ matching results in a fully populated systemmatrix. Therefore, a matrix reduction technique adaptive cross approximation(ACA) is employed in order to reduce the CPU time and memory require-ments. Both the accuracy of the direct and the accuracy of the ACA approachare benchmarked against the results obtained using the professional finiteelement method (FEM)‐ based software.

adaptive cross approximation, boundary element methods, electric field, integral equations

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