Journal
IEEE TRANSACTIONS ON POWER ELECTRONICS
Volume 36, Issue 9, Pages 9876-9885Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPEL.2021.3061667
Keywords
Coils; Inductance; Spirals; Mathematical model; Fasteners; Numerical models; Wireless power transfer; Euler angles; mutual inductance; planar spiral coils; self-inductance; wireless power transfer (WPT)
Categories
Funding
- Research and Development Program Support in key areas of Guangdong Province [2019B010127001]
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This article establishes an accurate model for mutual inductance of planar spiral coils and proposes an expression for mutual inductance of planar spiral coils under arbitrary relative positions using Euler Angles. The influence of precession and spin angle on mutual inductance is studied, as well as the differences in calculation results between the accurate model and traditional approximation models.
In magnetic coupling resonant wireless power transfer devices, planar spiral coils are often used as the coupling mechanism. In such application area, the coils are often wound sparsely with wide screw pitches and often under complex relative position. An accurate model of mutual inductance for planar spiral coils wound either densely or sparsely is established in this article. Utilizing Euler Angles, an exact expression of mutual inductance for a couple of planar spiral coils under arbitrary relative position is proposed. Based on this expression and geometric mean distance principle, a self-inductance expression for planar spiral coils is derived. Based on numerical calculation of the expressions proposed in this article, the influence of precession and spin angle on mutual inductance is studied; the method of determining radius of each turn when using traditional concentric circular filaments cluster approximation model for self- and mutual inductance calculation is studied; the difference of calculation results between the accurate model and the traditional approximation model is compared. Finite element simulation and experimental results verify the correctness of the proposed models.
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