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This paper presents a finite-set model predictive strategy for current control of a resistive-inductive active load with a three-phase three-level flying capacitor converter. A heuristic method is used to reduce the calculation effort and to increase the prediction horizon. A disturbance observer determines the active part of the load. A hysteresis-based voltage balancing algorithm makes use of the redundancy of the 64 switching possibilities of the converter. The proposed method significantly reduces the calculation effort compared to classical finite-set model predictive control methods.