A 6/8 flux-switching machine with large air-gap and toroidal winding design is presented. The fractional-slot winding of C-core flux-switching machine is wound around the stator yoke instead of the stator pole in this machine design. On the basis of the C-core flux-switching machine several modifications of the stator core shape and of PM arrangement are evaluated by means of 2D Finite Element Analysis. A significant enhancement of the torque capability of the toroidal winding design can be achieved by some minor changes of the stator core shape. Additionally, the application of Halbach shaped magnets leads to even more torque and a reduction of the leakage flux at the stator outer diameter.