Quasi-3D analytical modeling of the magnetic field of an axial flux permanent magnet synchronous machine

A quasi-three-dimensional (3D) analytical model of the magnetic field in an axial flux permanent magnet synchronous machine (AFPMSM) is presented. This model is derived from an exact 2D analytical solution of magnetic field extended to the 3D case by a simple and effective radial dependence modeling of the magnetic field. The obtained quasi-3D solution allows rapid parametric studies of airgap magnetic field. Then, an analytical modeling of the cogging torque is presented. It is based on the obtained quasi-3D analytical solution. Results issued from the proposed model in the airgap are compared with those stemming from a 3D finite elements method (FEM) simulation as well as with prototype measured values.