3D computation of no‐load magnetic flux density in slotless axial‐flux permanent‐magnet synchronous machines using conformal mapping

This study presents a new three‐dimensional (3D) analytical method for no‐load magnetic flux density computation of axial‐flux permanent‐magnet synchronous machines. In the method suggested, at first the machine's cylindrical coordinates are converted to the Cartesian coordinates using conformal mapping, and then Laplace's equation is solved in Cartesian coordinates in 3D to give the scalar magnetic potential. Finally, the magnetic flux density is computed using the scalar magnetic potential. Use of the analytical method takes much less computational time than 3D finite element method does, and is, thus, useful for designing and optimisation purposes. Validation of this method is performed through the 3D finite element analysis and experimental results.