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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.16982 |
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| _version_ | 1866912497910415360 |
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| author | Papadopoulos, Theofilos Antonopoulos, Antonios |
| author_facet | Papadopoulos, Theofilos Antonopoulos, Antonios |
| contents | This paper proposes a method to generalize the equations estimating the inductance of square-shape planar windings to rectangle shape. This is done by utilizing the optimal p-norm of the Generalized Mean Value or Power Mean (PM). Three well-established equations with verified accuracy are examined, namely Wheeler, Rosa, and the Monomial, which by definition consider only regular polygons. One critical parameter of the original equations is the outer-side length of the winding, which for the rectangle case, can be substituted by the PM of the two outer-side lengths, without the need for any further modifications. A methodology to select the optimal p-norm for the PM is presented in terms of achieving the best accuracy for this estimation. The selection of the optimal p is based on results from datasets containing more than 2600 simulations of different rectangle-shaped windings. Finally, the estimation accuracy is verified by laboratory measurements for a selection of planar inductors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16982 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extension of Simple and Accurate Inductance Estimation for Rectangular Planar Windings Papadopoulos, Theofilos Antonopoulos, Antonios Systems and Control This paper proposes a method to generalize the equations estimating the inductance of square-shape planar windings to rectangle shape. This is done by utilizing the optimal p-norm of the Generalized Mean Value or Power Mean (PM). Three well-established equations with verified accuracy are examined, namely Wheeler, Rosa, and the Monomial, which by definition consider only regular polygons. One critical parameter of the original equations is the outer-side length of the winding, which for the rectangle case, can be substituted by the PM of the two outer-side lengths, without the need for any further modifications. A methodology to select the optimal p-norm for the PM is presented in terms of achieving the best accuracy for this estimation. The selection of the optimal p is based on results from datasets containing more than 2600 simulations of different rectangle-shaped windings. Finally, the estimation accuracy is verified by laboratory measurements for a selection of planar inductors. |
| title | Extension of Simple and Accurate Inductance Estimation for Rectangular Planar Windings |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2507.16982 |