Cogging force computation for permanent magnet linear motor using numerical Schwarz-Christoffel mapping

We present an effective method based on Schwarz-Christoffel (SC) mapping for computing the cogging force of a permanent magnet linear motor (PMLM). The permanent magnets (PMs) are substituted by equivalent line currents at Gaussian integration points. Using numerical SC mapping, one pole-pair of the PMLM is mapped to a configuration where the magnetic field can be solved analytically. The cogging force due to the slotting effect is computed by the Maxwell stress tensor (MST) method. The results are verified with the finite element method (FEM).