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Fast and efficient methods for circuit-based automotive EMC simulation. (English) Zbl 1153.78330
Russer, Peter (ed.) et al., Time domain methods in electrodynamics. A tribute to Wolfgang J. R. Hoefer. Proceedings of the symposium on time domain methods in modern engineering electrodynamics, M√ľnchen, Germany, May 16–17, 2007. Berlin: Springer (ISBN 978-3-540-68766-5/hbk). Springer Proceedings in Physics 121, 189-210 (2008).
Summary: This paper presents a novel approach to eliminate the most serious bottlenecks in BEM-based EMC simulation by introducing fast and efficient modeling and solving techniques. A suitable modeling of 3D electromagnetic effects by an equivalent circuit representation can be accomplished by the well-established \(PEEC\) method. Typically, the resulting system matrices can be very large, dense and ill-conditioned. To enable the analysis of real-life problems, an acceleration has to be applied to the modeling as well as the solving process. Within the scope of this work, a methodology was developed to realize an overall EMC simulation process with significantly reduced complexity in terms of CPU time and storage demands for the underlying equation system. Various methods for model extraction and solving were investigated, including Hierarchical matrices (\(\mathbb H\)-matrices) and the well-known Algebraic multigrid (AMG) approach, allowing simulations with almost optimal complexity, in principle. These methods fulfill the accuracy demands and are suitable for parallel implementation. The generality, robustness, flexibility and efficiency of the proposed methods are shown by means of numerical results from a typical automotive application.
For the entire collection see [Zbl 1146.78001].
78M15 Boundary element methods applied to problems in optics and electromagnetic theory
78M25 Numerical methods in optics (MSC2010)
65F10 Iterative numerical methods for linear systems
65F35 Numerical computation of matrix norms, conditioning, scaling
65Y05 Parallel numerical computation
78A55 Technical applications of optics and electromagnetic theory
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