Combinatorics of Inductance States in Reconfigurable Air Coils
- We propose a group theory based mathematical model for unambiguous inductance states of a reconfigurable air coil inductor utilizing elastic snapping of wire segments. Vertical (axial) and horizontal winding symmetries under group actions reveal distinguishable tuning regions and individual variation states therein. The model is applied to coils of prismatic (cylinder like) and truncated pyramidal (conical like) shape with edges forming a regular polygon as basis, and verified by numerical magnet field simulation.
| Author: | Michael HelbigORCID, Norbert SeligerORCID |
|---|---|
| DOI: | https://doi.org/10.1109/ICRAMI64946.2025.11472673 |
| ISBN: | 978-9909-00-770-9 |
| Parent Title (English): | Proceedings 2nd International Conference on Recent Advances in Mathematics and Informatics (ICRAMI'25) |
| Document Type: | conferencepaper |
| Language: | English |
| Publication Year: | 2025 |
| Conference: | International Conference on Recent Advances in Mathematics and Informatics (ICRAMI 2025) (Sousse Tunisia) |
| Release Date: | 2025/12/15 |
| Tag: | Combinatorial mathematics; Group theory; Inductance; Magnetic devices; Matrices |
| Page Number: | 8 |
| Peer reviewed: | Ja |
| conference date: | 20-23 November 2025 |
| faculties / departments: | Fakultät für Angewandte Natur- und Geisteswissenschaften |
| Fakultät für Ingenieurwissenschaften | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik |
