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

Release time:2024-08-22Hits:

Affiliation of Author(s): 合肥工业大学

Journal: Energies

Funded by: 国家重点研发计划(2017YFB0903503)

Key Words: wireless power transmission; mutual inductance calculation; Archimedean spiral coil; helicity; Gaussian integral

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.

Indexed by: Journal paper

Discipline: Engineering

Document Type: J

Volume: 12

Issue: 10

Page Number: 1-14

Translation or Not: no

Date of Publication: 2019-12-01

Included Journals: SCI