An Air-Gap Element for the Isogeometric Space-Time-Simulation of Electric Machines
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917501211770880 |
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| author | Reichelt, Michael Wiesheu, Michael Merkel, Melina Schöps, Sebastian Steinbach, Olaf |
| author_facet | Reichelt, Michael Wiesheu, Michael Merkel, Melina Schöps, Sebastian Steinbach, Olaf |
| contents | Space-time methods promise more efficient time-domain simulations, in particular of electrical machines. However, most approaches require the motion to be known in advance so that it can be included in the space-time mesh. To overcome this problem, this paper proposes to use the well-known air-gap element for the rotor-stator coupling of an isogeometric machine model. First, we derive the solution in the air-gap region and then employ it to couple the rotor and stator. This coupling is angle dependent and we show how to efficiently update the coupling matrices to a different angle, avoiding expensive quadrature. Finally, the resulting time-dependent problem is solved in a space-time setting. The spatial discretization using isogeometric analysis is particularly suitable for coupling via the air-gap element, as NURBS can exactly represent the geometry of the air-gap. Furthermore, the model including the air-gap element can be seamlessly transferred to the space-time setting. However, the air-gap element is well known in the literature. The originality of this work is the application to isogeometric analysis and space-time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16099 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Air-Gap Element for the Isogeometric Space-Time-Simulation of Electric Machines Reichelt, Michael Wiesheu, Michael Merkel, Melina Schöps, Sebastian Steinbach, Olaf Numerical Analysis Computational Engineering, Finance, and Science 65, 78 I.6 Space-time methods promise more efficient time-domain simulations, in particular of electrical machines. However, most approaches require the motion to be known in advance so that it can be included in the space-time mesh. To overcome this problem, this paper proposes to use the well-known air-gap element for the rotor-stator coupling of an isogeometric machine model. First, we derive the solution in the air-gap region and then employ it to couple the rotor and stator. This coupling is angle dependent and we show how to efficiently update the coupling matrices to a different angle, avoiding expensive quadrature. Finally, the resulting time-dependent problem is solved in a space-time setting. The spatial discretization using isogeometric analysis is particularly suitable for coupling via the air-gap element, as NURBS can exactly represent the geometry of the air-gap. Furthermore, the model including the air-gap element can be seamlessly transferred to the space-time setting. However, the air-gap element is well known in the literature. The originality of this work is the application to isogeometric analysis and space-time. |
| title | An Air-Gap Element for the Isogeometric Space-Time-Simulation of Electric Machines |
| topic | Numerical Analysis Computational Engineering, Finance, and Science 65, 78 I.6 |
| url | https://arxiv.org/abs/2501.16099 |