Exact Analytical Solution for Two Types of Magnetic Gear and Their Control

This paper presents a harmonic modeling for two types of magnetic gears (MGs) by considering the nonlinear B-H curve for soft magnetic material. A convolution matrix of permeability is introduced to obtain the relation between the magnetic flux density and magnetic field strength. Subsequently, the magnetic field distribution and electromagnetic performance of MG can be calculated by solving the matrix equations in MATLAB. Then, the finite element analysis (FEA) is introduced to verify the accuracy of the proposed method. And a good agreement can be observed. Finally, based on the MG models, a PI control is simulated to evaluate the dynamic performances of MGs when used in the servo system.