Sparse Representations for Uncertainty Quantification of a Coupled Field-Circuit Problem

Roland Pulch; Sebastian Schöps

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arXiv · 1809.06195

Sparse Representations for Uncertainty Quantification of a Coupled Field-Circuit Problem

Roland Pulch·Sebastian Schöps

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Abstract

We consider a model of an electric circuit, where differential algebraic equations for a circuit part are coupled to partial differential equations for an electromagnetic field part. An uncertainty quantification is performed by changing physical parameters into random variables. A random quantity of interest is expanded into the (generalised) polynomial chaos using orthogonal basis polynomials. We investigate the determination of sparse representations, where just a few basis polynomials are required for a sufficiently accurate approximation. Furthermore, we apply model order reduction with proper orthogonal decomposition to obtain a low-dimensional representation in an alternative basis.

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BibTeX RIS

Roland Pulch, Sebastian Schöps. 2019-03-08. Sparse Representations for Uncertainty Quantification of a Coupled Field-Circuit Problem. https://arxiv.org/abs/1809.06195

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