In order to improve the faulttolerant performance of the machine drive system and achieve the minimum copper loss, a faulttolerant control method for faulttolerant hybridexcitation fluxswitching (FTHEFS) machine based on model predictive control algorithm was proposed. Taking a 6/13pole FTHEFS machine as the control object, under the condition of the threephase fourleg inverter topology and the open circuit failure of singlephase winding, the minimum copper loss faulttolerant methods based on the model predictive torque control and deadbeatmodel predictive flux control algorithms were studied and analyzed, respectively. The feasibility and effectiveness of the proposed faulttolerant control method were verified. The research results showed that both methods could make the speed, torque and stator fluxlinkage almost unchanged, ensuring the stable operation of the system. Compared with model predictive torque control, the deadbeatmodel predictive flux control had smaller fluxlinkage ripple before and after the open circuit failure while the switching frequency was reduced.