Generalized Analytical Solution for N-Segment Axial Flux Halbach Arrays

A generalized analytical solution for the 3-dimensional flux density field of an axial flux cylindrical Halbach Array is developed, based on existing work for 4-segment Halbach arrays. It is designed to reduce time, expense and knowledge associated with the traditional method of performing finite element analysis (FEA) to characterize such an array. It is applicable to the following applications: magnetic bearings, gears, couplings, generators and motors for electric vehicles. Halbach arrays of 4, 6 and 8-segment configurations are analyzed using the improved analytical method, then validated using FEA. The analytical equation is used to perform a sensitivity analysis on the 8-segment array.