Optimized Analytical Computation of Partial Elements Using a Retarded Taylor Series Expansion
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Date
2023-08
Publication Type
Journal Article
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yes
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Abstract
The aim of this article is to efficiently and accurately calculate the integrals of the full-wave (FW) partial element equivalent circuit (PEEC) method. The accuracy of the analytical formulas calculated by the standard precision can be compromised when using nonuniform mesh to properly model the high-frequency effects. The numerical errors can be avoided by using a high-precision arithmetic, i.e., higher number of digits, however, at the expense of significantly higher computation time. This article presents an analytical approach for calculating the FW-PEEC interaction integrals of two elementary volumes/surfaces based on the Taylor expansion, which allows a high computational speed preserving the accuracy with a relative error of less than 0.1%. The proposed solution is verified compared to the high-precision arithmetic and the standard Gaussian integration for two examples of strip lines. Moreover, it is shown that the accuracy of FW-PEEC integrals can affect the convergence of an iterative PEEC matrix solver.
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published
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Journal / series
Volume
65 (4)
Pages / Article No.
1220 - 1231
Publisher
IEEE
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Edition / version
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Software
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Date collected
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Subject
Adaptive integration; electric field; integral equations; numerical integration; partial element equivalent circuit (PEEC) method; Taylor series expansion
Organisational unit
09480 - Grossner, Ulrike / Grossner, Ulrike
Notes
Funding
209501 - Advanced Multi-objective Optimization of Wide-band Gap-based Power Electronic Systems (SNF)