A Simplified and Comprehensive Analytical Model of Mutual Inductance for the Polygonal Magnetic Couplers in WPT Systems

This letter proposes an equivalent coupling area (ECA) method and geometry-aware correction factor (GACF) to derive the analytical model of mutual inductance (MI) for polygonal magnetic couplers (MCs) with finite magnetic core. The ECA method translates the MI model of polygonal MCs into the equivalent circular solution region, and the GACF, derived from the air-core coil MI ratios, simultaneously corrects the edge effect under well-aligned positions and the anisotropy of MI in polygonal MCs during misalignment. Combined with the ECA method, the GACF, and the prior studies on MI model construction for circuit MCs, the challenge of the completely analytical model constructure of MI for the polygonal MCs is effectively addressed. The proposed model is rigorously validated by the finite element analysis tool and experiment, demonstrating its accuracy in predicting the MI under various misalignments.