Fault tolerant flux-switching permanent magnet (FTFSPM) machine is a novel fault tolerant machine having magnet in the stator, which not only has the advantages such as excellent physical, mechanical and magnet insulation abilities, but also overcomes the disadvantages in conventional rotor-PM topology like magnets are subjected to centrifugal force and difficult to dispel heat. However, the ability to inhibit short circuit current of FTFSPM has a great impact on the machine torque (power) density. In this paper, a novel multi-tooth fault-tolerant flux-switching permanent magnet (MTFTFSPM) machine which has big self inductance is proposed. Finite element analyses (FEA) are employed to compare the electromagnetic performance of three types of fault-tolerant topology including flux-linkage, back-EMF, torque density and inductances. The results show that the MTFTFSPM machine can reach higher torque density than traditional FTFSPM due to the multi-tooth structure.