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
Article, Bibliographie
This is the latest version of this item.
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.
| Item Type: | Article |
|---|---|
| Erschienen: | 2024 |
| Creators: | Komann, Theodor ; Wiesheu, Michael ; Ulbrich, Stefan ; Schöps, Sebastian |
| Type of entry: | Bibliographie |
| Title: | Robust Design Optimization of Electric Machines with Isogeometric Analysis |
| Language: | English |
| Date: | 25 April 2024 |
| Place of Publication: | Basel |
| Publisher: | MDPI |
| Journal or Publication Title: | Mathematics |
| Volume of the journal: | 12 |
| Issue Number: | 9 |
| Collation: | 18 Seiten |
| DOI: | 10.3390/math12091299 |
| Corresponding Links: | |
| 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. |
| Uncontrolled Keywords: | robust PDE constrained design optimization, isogeometric analysis, electrical machines, bilevel optimization |
| Identification Number: | Artikel-ID: 1299 |
| Additional Information: | This article belongs to the Special Issue Numerical Optimization for Electromagnetic Problems |
| Classification DDC: | 500 Science and mathematics > 510 Mathematics 600 Technology, medicine, applied sciences > 621.3 Electrical engineering, electronics |
| Divisions: | 18 Department of Electrical Engineering and Information Technology 18 Department of Electrical Engineering and Information Technology > Institute for Accelerator Science and Electromagnetic Fields > Computational Electromagnetics 18 Department of Electrical Engineering and Information Technology > Institute for Accelerator Science and Electromagnetic Fields 04 Department of Mathematics 04 Department of Mathematics > Optimization |
| Date Deposited: | 16 May 2024 14:53 |
| Last Modified: | 16 May 2024 14:53 |
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| Suche nach Titel in: | TUfind oder in Google |
Available Versions of this Item
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Robust Design Optimization of Electric Machines with Isogeometric Analysis. (deposited 13 May 2024 13:33)
- Robust Design Optimization of Electric Machines with Isogeometric Analysis. (deposited 16 May 2024 14:53) [Currently Displayed]
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