20190917
The main focus of this talk is to demonstate how recent developments have extended the applicability and improved the accuracy of the Unstructured Partial Element Equivalent Circuit (PEEC) method. The interest on this subject is spurred by the growing need for fast and efficient numerical methods, which may help engineers during the design and other stages of the production of new generation electric components.
First, the extension to magnetic media of the unstructured PEEC method is presented. In this regard, two formulations are developed and compared: the first one, based on the Amperian interpretation of the magnetization phenomena, is derived from the existing literature concerning the standard (structured) version of PEEC; the second one, based on the Coulombian interpretation of the magnetization phenomena, is proposed, with the aim of collocating PEEC in the context of Volume Integral Equation methods.
Then, the application of low–rank compression techniques to PEEC is investigated. Two different methods are applied: the first is based on hierarchical matrices (H matrices) whereas the second is based on hierarchical–semi–separable (HSS) matrices. The two methods are compared and the main numerical issues which emerge by such techniques to PEEC are analyzed.
Finally, the developed unstructured PEEC method is combined with the Marching OninTime scheme for the study of fast transient phenomena with a wide range of harmonics. Moreover, two different stochastic PEEC methods are developed for uncertainty quantification analysis. The first is based on the Polynomial Chaos expansion while the second is based on the Parametric Model Order Reduction technique coupled with spectral expansion.
The talk will end with the combined application of all the above techniques to a problem of current industrial interest, i.e. a wireless power transfer system for automotive applications.
Category: CE SeminarTechnische Universität Darmstadt
Graduate School CE
Dolivostraße 15
D64293 Darmstadt

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