Abstract
An equivalence-principle-based method (EPM) for calculating the magnetic field around the coil assemblies applied in electric vehicle inductive chargers is proposed. The ferrite core and the aluminum shielding plate are substituted with surface equivalent sources (ESs), the distribution of which is solved from surface boundary conditions. The magnetic field is the sum of the incident field (induced by the coil current) and the scattered field (induced by ES). The impacts of ferrite core and aluminum plate are quantitatively characterized using their respective source–field relations. The optimization of coil assemblies to improve the efficiency is selected as an application of EPM. The key factors that affect efficiency, e.g., mutual inductance and stray losses, are approximated using simple functions of ES. An exemplary circular coil assembly pair is manually optimized via EPM. Comparisons with finite element analysis (FEA) prove the accuracy and speediness of EPM. The other benefits of EPM are also discussed. Due to the immeasurability of ES, experimental test results of two coils are compared with FEA results to indirectly validate the accuracy of EPM.
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