Komann, Theodor ; Wiesheu, Michael ; Ulbrich, Stefan ; Schöps, Sebastian (2024)
Robust Design Optimization of Electric Machines with Isogeometric Analysis.
In: Mathematics, 12 (9)
doi: 10.3390/math12091299
Artikel, Bibliographie
Dies ist die neueste Version dieses Eintrags.
Kurzbeschreibung (Abstract)
In electric machine design, efficient methods for the optimization of the geometry and associated parameters are essential. Nowadays, it is necessary to address the uncertainty caused by manufacturing or material tolerances. This work presents a robust optimization strategy to address uncertainty in the design of a three-phase, six-pole permanent magnet synchronous motor (PMSM). The geometry is constructed in a two-dimensional framework within MATLAB®, employing isogeometric analysis (IGA) to enable flexible shape optimization. The main contributions of this research are twofold. First, we integrate shape optimization with parameter optimization to enhance the performance of PMSM designs. Second, we use robust optimization, which creates a min–max problem, to ensure that the motor maintains its performance when facing uncertainties. To solve this bilevel problem, we work with the maximal value functions of the lower-level maximization problems and apply a version of Danskin’s theorem for the computation of generalized derivatives. Additionally, the adjoint method is employed to efficiently solve the lower-level problems with gradient-based optimization. The paper concludes by presenting numerical results showcasing the efficacy of the proposed robust optimization framework. The results indicate that the optimized PMSM designs not only perform competitively compared to their non-robust counterparts but also show resilience to operational and manufacturing uncertainties, making them attractive for industrial applications.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2024 |
| Autor(en): | Komann, Theodor ; Wiesheu, Michael ; Ulbrich, Stefan ; Schöps, Sebastian |
| Art des Eintrags: | Bibliographie |
| Titel: | Robust Design Optimization of Electric Machines with Isogeometric Analysis |
| Sprache: | Englisch |
| Publikationsjahr: | 25 April 2024 |
| Ort: | Basel |
| Verlag: | MDPI |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Mathematics |
| Jahrgang/Volume einer Zeitschrift: | 12 |
| (Heft-)Nummer: | 9 |
| Kollation: | 18 Seiten |
| DOI: | 10.3390/math12091299 |
| Zugehörige Links: | |
| Kurzbeschreibung (Abstract): | In electric machine design, efficient methods for the optimization of the geometry and associated parameters are essential. Nowadays, it is necessary to address the uncertainty caused by manufacturing or material tolerances. This work presents a robust optimization strategy to address uncertainty in the design of a three-phase, six-pole permanent magnet synchronous motor (PMSM). The geometry is constructed in a two-dimensional framework within MATLAB®, employing isogeometric analysis (IGA) to enable flexible shape optimization. The main contributions of this research are twofold. First, we integrate shape optimization with parameter optimization to enhance the performance of PMSM designs. Second, we use robust optimization, which creates a min–max problem, to ensure that the motor maintains its performance when facing uncertainties. To solve this bilevel problem, we work with the maximal value functions of the lower-level maximization problems and apply a version of Danskin’s theorem for the computation of generalized derivatives. Additionally, the adjoint method is employed to efficiently solve the lower-level problems with gradient-based optimization. The paper concludes by presenting numerical results showcasing the efficacy of the proposed robust optimization framework. The results indicate that the optimized PMSM designs not only perform competitively compared to their non-robust counterparts but also show resilience to operational and manufacturing uncertainties, making them attractive for industrial applications. |
| Freie Schlagworte: | robust PDE constrained design optimization, isogeometric analysis, electrical machines, bilevel optimization |
| ID-Nummer: | Artikel-ID: 1299 |
| Zusätzliche Informationen: | This article belongs to the Special Issue Numerical Optimization for Electromagnetic Problems |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 510 Mathematik 600 Technik, Medizin, angewandte Wissenschaften > 621.3 Elektrotechnik, Elektronik |
| Fachbereich(e)/-gebiet(e): | 18 Fachbereich Elektrotechnik und Informationstechnik 18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Teilchenbeschleunigung und Theorie Elektromagnetische Felder > Computational Electromagnetics 18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Teilchenbeschleunigung und Theorie Elektromagnetische Felder 04 Fachbereich Mathematik 04 Fachbereich Mathematik > Optimierung |
| Hinterlegungsdatum: | 16 Mai 2024 14:53 |
| Letzte Änderung: | 16 Mai 2024 14:53 |
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Verfügbare Versionen dieses Eintrags
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Robust Design Optimization of Electric Machines with Isogeometric Analysis. (deposited 13 Mai 2024 13:33)
- Robust Design Optimization of Electric Machines with Isogeometric Analysis. (deposited 16 Mai 2024 14:53) [Gegenwärtig angezeigt]
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