Römer, Ulrich
:
Numerical Approximation of the Magnetoquasistatic Model with Uncertainties and its Application to Magnet Design.
[Online-Edition: http://tuprints.ulb.tu-darmstadt.de/4950]
Technische Universität
, Darmstadt
[Ph.D. Thesis], (2015)
Abstract
This work addresses the magnetoquasistatic approximation of Maxwell’s equations with uncertainties in material data, shape and current sources, originating, e.g., from manufacturing imperfections. Well-established numerical schemes for the deterministic model are recalled. A parametric/stochastic model is established on the partial differential equation level and its differentiability is analyzed. Sensitivity analysis techniques are at the core of the uncertainty propagation methods discussed afterwards. Schemes for propagating both probabilistic and nonprobabilistic uncertain inputs as well as techniques for dimension reduction are addressed and compared. The findings are illustrated by simple numerical and real world examples with emphasis on accelerator magnet design using open source, in-house and commercial software.
| Item Type: | Ph.D. Thesis | ||||
|---|---|---|---|---|---|
| Erschienen: | 2015 | ||||
| Creators: | Römer, Ulrich | ||||
| Title: | Numerical Approximation of the Magnetoquasistatic Model with Uncertainties and its Application to Magnet Design | ||||
| Language: | English | ||||
| Abstract: | This work addresses the magnetoquasistatic approximation of Maxwell’s equations with uncertainties in material data, shape and current sources, originating, e.g., from manufacturing imperfections. Well-established numerical schemes for the deterministic model are recalled. A parametric/stochastic model is established on the partial differential equation level and its differentiability is analyzed. Sensitivity analysis techniques are at the core of the uncertainty propagation methods discussed afterwards. Schemes for propagating both probabilistic and nonprobabilistic uncertain inputs as well as techniques for dimension reduction are addressed and compared. The findings are illustrated by simple numerical and real world examples with emphasis on accelerator magnet design using open source, in-house and commercial software. |
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| Place of Publication: | Darmstadt | ||||
| Divisions: | 18 Department of Electrical Engineering and Information Technology 18 Department of Electrical Engineering and Information Technology > Institute of Electromagnetic Field Theory |
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| Date Deposited: | 04 Oct 2015 19:55 | ||||
| Official URL: | http://tuprints.ulb.tu-darmstadt.de/4950 | ||||
| URN: | urn:nbn:de:tuda-tuprints-49504 | ||||
| Referees: | Weiland, Prof. Dr. Thomas and Ulbrich, Prof. Dr. Stefan and Sebastian, Prof. Dr. Schöps | ||||
| Refereed / Verteidigung / mdl. Prüfung: | 13 February 2015 | ||||
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