https://doi.org/10.1140/epjp/s13360-023-04493-1
Regular Article
Mutual inductance calculations of non-identical n-sided planar coils with arbitrary geometry and spatial orientations
1
Department of Mechanical Engineering, Faculty of Engineering, Urmia University, 57561-51818, Urmia, Iran
2
Department of Energy Systems Engineering, School of Advanced Technology, Iran University of Science and Technology, 16846-13114, Tehran, Iran
3
Department of Mechanical Engineering, Isfahan University of Technology, 84156-83111, Isfahan, Iran
4
Department of Mechanical and Aerospace Engineering, The Hong Kong University of Science and Technology (HKUST), Clear Water Bay, Hong Kong
d
am.abazari@urmia.ac.ir
e
htavakkoli@connect.ust.hk
Received:
12
July
2023
Accepted:
17
September
2023
Published online:
29
September
2023
Planar coils are widely used in sensors, wireless chargers, robots, portable devices, medical implants, etc. An important factor in the performance of two magnetically coupled coils is the mutual inductance. However, the mutual inductance measurements between two arbitrarily positioned non-identical n-sided coils with lateral and angular misalignments have not been solved. In this paper, we calculated the mutual inductance between two arbitrarily positioned, non-identical n-sided planar spiral coils by the partial inductance method. The proposed model can adapt the calculations for any planar coil configurations including rectangle, pentagon, hexagon, or any other regular n-sided coils. Even the circular coils are approximated by multiple sides. In addition, measurements can cover lateral displacement, angular rotation, and both simultaneously. The theoretical calculation results are verified with the results of Ansys Maxwell simulations and previously published works in the literature. The relative errors of the presented method with simulation results are less than 0.1% in selected cases. Finally, the superiority of the proposed method over simulation in terms of time consumption is investigated. For the samples studied in this paper, more than 90% of the time could be saved compared to 3D finite element method simulations.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
