Convergence Algorithm for a Nonlinear Subdomain Model of a Parallel Halbach Permanent Magnet Synchronous Motor

The paper deals with a nonlinear subdomain model of a parallel Halbach permanent magnet synchronous motor (PMSM). A convergence algorithm is proposed in order to consider the nonlinear aspect of the iron used in machine’s stator. In this algorithm, the authors consider the average value of the flux density of its segmented stator instead of a local value. This approach allows a faster convergence of the nonlinear subdomain model and a smaller error on the electromagnetic torque compared to a finite element model. Finally, the paper also shows a comparative study of three iterative solving methods used to update the value of relative permeability: relaxation method, secant method, and a combination of both (combined method).