Accurate Expressions of Mutual Inductance and Their Calculation of Archimedean Spiral Coils

Shuo Liu, Jianhui Su and Jidong Lai
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Shuo Liu: School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China
Jianhui Su: School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China
Jidong Lai: School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China

Energies, 2019, vol. 12, issue 10, 1-14

Abstract: Considering the helicity of Archimedean spiral coils, this paper proposes accurate expressions of mutual inductance and their numerical calculation methods, which can be applied in the wireless power transmission field, etc. Accurate expressions of mutual inductance are deduced respectively for two coils that are coaxial, laterally misaligned, or non-parallel, and numerical calculations are performed using Gaussian integration as well. In the case of coaxial coils, the calculation results are verified by the 3D finite element method (3D FEM) and compared with the results gained by the traditional method that approximates two spiral coils to two clusters of series-connected circular coils ignoring helicity. The comparison of the three methods shows that results achieved by the proposed expression are close to that of 3D FEM, while there is increasing error with the screw pitches of the coils when using the traditional circular coil approximation method. The influence of relative position on the mutual inductance of the two coils is also studied and it is further explained through magnetic field distribution. Finally, the validity of the proposed expressions of mutual inductance is verified by experimental results.

Keywords: wireless power transmission; mutual inductance calculation; Archimedean spiral coil; helicity; Gaussian integral (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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