Completely Analytical Calculation of Inductance for Circular Coils With Bilateral Finite Magnetic Cores at Arbitrary Position in WPT Systems

To realize the completely analytical calculation of inductance for circular coils with bilateral finite cores in case of vertical misalignment (VM), horizontal misalignment (HM), and angular misalignment (AM), this letter extends the truncated region eigenfunction expansion (TREE) method to calculat...

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Bibliographic Details
Published in:IEEE transactions on power electronics 2024-06, Vol.39 (6), p.6597-6602
Main Authors: Wei, Guo, Hao, Lingjun, Zhang, Yike, Zhang, Tianyi
Format: Article
Language:English
Subjects:
Analytical model
bilateral finite cores
Coils
Eigenvalues and eigenfunctions
Eigenvectors
Inductance
Magnetic cores
Magnetic separation
Magnetic shielding
mirror coefficients (MCs)
mirror method
Mirrors
Misalignment
misalignments
truncated region eigenfunction expansion (TREE)
Vectors
wireless power transfer (WPT)
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Summary:To realize the completely analytical calculation of inductance for circular coils with bilateral finite cores in case of vertical misalignment (VM), horizontal misalignment (HM), and angular misalignment (AM), this letter extends the truncated region eigenfunction expansion (TREE) method to calculate mutual inductance (MI) variations with VM, and proposes the expanded mirror method (EM 2 ) to calculate MI in the case of HM and AM at a certain vertical distance. The expanded TREE method accounts for MI variations with VM in the presence of bilateral magnetic shields by adding constraint equations on the secondary core. The EM 2 combines the expended TREE method and the mirror method to analytically calculate coaxial mirror coefficients (MCs). Then, the variations of MCs with HM and AM of the receiver are linearized, taking the coaxial MCs and the point where the effect of bilateral magnetic cores on inductance vanishes as key reference points. This model ensures the accuracy of calculating inductance in case of various misalignments.
ISSN:0885-8993
1941-0107
DOI:10.1109/TPEL.2024.3372184