Adapting the Formula for Planar Spiral Inductors’ Inductance Computation to the New Oval Geometric Shape, Ideal for Designing Wireless Power Transfer Systems for Smart Devices
The most used spiral inductors, in the available scientific literature and in our research activities, so far, have been those with square, hexagonal, octagonal, and circular geometric shapes. Geometry plays an important role in the efficiency of these inductors when used in wireless power transfer....
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MDPI AG
2025-01-01
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| author | Claudia Pacurar Vasile Topa Claudia Constantinescu Calin Munteanu Marian Gliga Sergiu Andreica Adina Giurgiuman |
| author_facet | Claudia Pacurar Vasile Topa Claudia Constantinescu Calin Munteanu Marian Gliga Sergiu Andreica Adina Giurgiuman |
| author_sort | Claudia Pacurar |
| collection | DOAJ |
| description | The most used spiral inductors, in the available scientific literature and in our research activities, so far, have been those with square, hexagonal, octagonal, and circular geometric shapes. Geometry plays an important role in the efficiency of these inductors when used in wireless power transfer. In this article, a new geometric shape is designed by combining the square and the circle to create an oval shape of a planar spiral inductor. Inductors with this new shape are designed, numerically modelled, and practically constructed for experimental testing. The formula for inductance computation for planar spiral inductors is adapted for this new oval shape. New geometric coefficients, required for inductance computation formula, have been determined. The new formula for inductance computation is validated both analytically, by comparing the results with those from numerical modelling, and experimentally, by comparing with measurements, for a wide range of oval spiral inductors. Five sets of different oval spiral inductors are optimally designed, numerically modelled, practically constructed, and experimentally tested. By designing this new shape for planar spiral inductors, the inductance is increased 2.16 times compared to square, 1.84 times compared to hexagonal, 2.12 times compared to octagonal, and 2.52 times compared to circular shapes. The new oval spiral inductor design will be very useful for constructing wireless power transfer systems for pacemakers, smartphones, smartwatches, and/or any other type of smart device. |
| format | Article |
| id | doaj-art-b6e7d8e044f444a8a2e14ecd6e9b8d3e |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
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| spelling | doaj-art-b6e7d8e044f444a8a2e14ecd6e9b8d3e2025-08-20T02:48:09ZengMDPI AGMathematics2227-73902025-01-0113334810.3390/math13030348Adapting the Formula for Planar Spiral Inductors’ Inductance Computation to the New Oval Geometric Shape, Ideal for Designing Wireless Power Transfer Systems for Smart DevicesClaudia Pacurar0Vasile Topa1Claudia Constantinescu2Calin Munteanu3Marian Gliga4Sergiu Andreica5Adina Giurgiuman6Department of Electrotechnics and Measurements, Faculty of Electrical Engineering, Technical University of Cluj-Napoca, 26-28 G. Baritiu Street, 400027 Cluj-Napoca, RomaniaDepartment of Electrotechnics and Measurements, Faculty of Electrical Engineering, Technical University of Cluj-Napoca, 26-28 G. Baritiu Street, 400027 Cluj-Napoca, RomaniaDepartment of Electrotechnics and Measurements, Faculty of Electrical Engineering, Technical University of Cluj-Napoca, 26-28 G. Baritiu Street, 400027 Cluj-Napoca, RomaniaDepartment of Electrotechnics and Measurements, Faculty of Electrical Engineering, Technical University of Cluj-Napoca, 26-28 G. Baritiu Street, 400027 Cluj-Napoca, RomaniaDepartment of Electrotechnics and Measurements, Faculty of Electrical Engineering, Technical University of Cluj-Napoca, 26-28 G. Baritiu Street, 400027 Cluj-Napoca, RomaniaDepartment of Electrotechnics and Measurements, Faculty of Electrical Engineering, Technical University of Cluj-Napoca, 26-28 G. Baritiu Street, 400027 Cluj-Napoca, RomaniaDepartment of Electrotechnics and Measurements, Faculty of Electrical Engineering, Technical University of Cluj-Napoca, 26-28 G. Baritiu Street, 400027 Cluj-Napoca, RomaniaThe most used spiral inductors, in the available scientific literature and in our research activities, so far, have been those with square, hexagonal, octagonal, and circular geometric shapes. Geometry plays an important role in the efficiency of these inductors when used in wireless power transfer. In this article, a new geometric shape is designed by combining the square and the circle to create an oval shape of a planar spiral inductor. Inductors with this new shape are designed, numerically modelled, and practically constructed for experimental testing. The formula for inductance computation for planar spiral inductors is adapted for this new oval shape. New geometric coefficients, required for inductance computation formula, have been determined. The new formula for inductance computation is validated both analytically, by comparing the results with those from numerical modelling, and experimentally, by comparing with measurements, for a wide range of oval spiral inductors. Five sets of different oval spiral inductors are optimally designed, numerically modelled, practically constructed, and experimentally tested. By designing this new shape for planar spiral inductors, the inductance is increased 2.16 times compared to square, 1.84 times compared to hexagonal, 2.12 times compared to octagonal, and 2.52 times compared to circular shapes. The new oval spiral inductor design will be very useful for constructing wireless power transfer systems for pacemakers, smartphones, smartwatches, and/or any other type of smart device.https://www.mdpi.com/2227-7390/13/3/348spiral inductoroval shapeinductance formulaoptimal designnumerical modellingplanar electromagnetic technology |
| spellingShingle | Claudia Pacurar Vasile Topa Claudia Constantinescu Calin Munteanu Marian Gliga Sergiu Andreica Adina Giurgiuman Adapting the Formula for Planar Spiral Inductors’ Inductance Computation to the New Oval Geometric Shape, Ideal for Designing Wireless Power Transfer Systems for Smart Devices Mathematics spiral inductor oval shape inductance formula optimal design numerical modelling planar electromagnetic technology |
| title | Adapting the Formula for Planar Spiral Inductors’ Inductance Computation to the New Oval Geometric Shape, Ideal for Designing Wireless Power Transfer Systems for Smart Devices |
| title_full | Adapting the Formula for Planar Spiral Inductors’ Inductance Computation to the New Oval Geometric Shape, Ideal for Designing Wireless Power Transfer Systems for Smart Devices |
| title_fullStr | Adapting the Formula for Planar Spiral Inductors’ Inductance Computation to the New Oval Geometric Shape, Ideal for Designing Wireless Power Transfer Systems for Smart Devices |
| title_full_unstemmed | Adapting the Formula for Planar Spiral Inductors’ Inductance Computation to the New Oval Geometric Shape, Ideal for Designing Wireless Power Transfer Systems for Smart Devices |
| title_short | Adapting the Formula for Planar Spiral Inductors’ Inductance Computation to the New Oval Geometric Shape, Ideal for Designing Wireless Power Transfer Systems for Smart Devices |
| title_sort | adapting the formula for planar spiral inductors inductance computation to the new oval geometric shape ideal for designing wireless power transfer systems for smart devices |
| topic | spiral inductor oval shape inductance formula optimal design numerical modelling planar electromagnetic technology |
| url | https://www.mdpi.com/2227-7390/13/3/348 |
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