This paper proposes a novel fault-tolerant predictive power control strategy, with minimal hardware requirements,for wind energy conversion systems based on the doubly-fed induction generator with the rotor fed by three-level neutral-point clamped converters in a back-to-back configuration. The strategy presented is able to maintain the system in operation after the occurrence of IGBT open-circuit faults in up to two legs of both converters without redundancy, increasing the availability of the wind turbine. A reconfiguration of the back-to-back into a five-leg topology with a shared leg is performed after the occurrence of a first IGBT fault, while a dc-link midpoint reconfiguration is used to isolate a fault in a second leg, changing the configuration to a four-leg topology. Complex modulation techniques are not required and only minimal changes in the control strategy are necessary due to the simplicity and versatility of finite control set model predictive control. The effectiveness of the proposed fault-tolerant predictive control strategy is validated with simulation results.