A Simple 3-D Analytical Modeling Method and Sensitivity Analysis for the Axial-Flux Permanent Magnet Eddy Current Coupler

A simple three-dimensional analytical modeling method for the axial-flux permanent magnet eddy current coupler is proposed in this paper. According to the mathematical expressions of the Fourier series and integral transformation in different coordinate directions, the cumbersome boundary conditions are simplified. The general solution of the Laplace equation in cylindrical coordinates is derived by analyzing several coefficients of the Bessel function, which effectively reduces the complexity of existing models containing Bessel functions. The axial, circumferential, and radial components of the magnetic flux density in the air gap are obtained. The comparison between analytical results and finite element results has validated the accuracy of the model.