This contribution investigates the connection between Isogeometric Analysis (IgA) and the Partial Element Equivalent Circuit (PEEC) method for electrostatic problems. We demonstrate that using the spline-based geometry concepts from IgA allows for extracting circuit elements without an explicit meshing step. Moreover, the proposed IgA-PEEC method converges for complex geometries up to three times faster than the conventional PEEC approach and, in turn, it requires a significantly lower number of degrees of freedom to solve a problem with comparable accuracy. The resulting method is closely related to the isogeometric boundary element method. However, it uses lowest-order basis functions to allow for straightforward physical and circuit interpretations. The findings are validated by an analytical example with complex geometry, i.e., significant curvature, and by a realistic model of a surge arrester.
R. Torchio et al., "A Spline-Based Partial Element Equivalent Circuit Method for Electrostatics," IEEE Transactions on Dielectrics and Electrical Insulation, Institute of Electrical and Electronics Engineers, Jan 2022.
The definitive version is available at https://doi.org/10.1109/TDEI.2022.3224890
Electrical and Computer Engineering
Keywords and Phrases
electrostatics; isogeometric analysis; partial element equivalent circuit; splines
International Standard Serial Number (ISSN)
Article - Journal
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01 Jan 2022