Self-Inductance Calculation of the Archimedean Spiral Coil

Energies

Iftikhar Hussain¹  Dong-Kyun Woo¹ 

[1] Department of Electrical Engineering, Yeungnam University, Gyeongsan 38541, Korea;

关键词: Archimedean spiral;    Neumann integral formula;    self-inductance;    spiral coil;   

DOI  :  10.3390/en15010253

来源: DOAJ

【 摘 要 】

In this paper, a new method to calculate the self-inductance of the Archimedean spiral coil is presented. The proposed method is derived by solving Neumann’s integral formula, and the numerical tool is used to calculate the inductance value. The calculation results are verified with several conventional formulas derived from the Wheeler formula or its modified form and 3D finite element analyses. The comparison with simulation results shows that the conventional formula has an error of above 40% compared to the proposed method, which has below 7% when the wire diameter is reduced. To further check the validity, different sizes of the spiral coil are fabricated by changing the geometrical parameters such as the number of turns, turn spacing, inner radius, outer radius, and wire diameter. Litz wire is chosen for making the spiral coil, and bobbins are made using a 3D printer. Finally, the calculation results are compared with the experimental result. The error between them is less than 2%. The comparison with the conventional formulas, simulation, and measurement results shows the accuracy of the proposed method. This method can be used to calculate the self-inductance of wireless power coils, inductors and antenna design.

【 授权许可】

Unknown