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This paper considers the use of back-to-back, full-bridge, three-level flying-capacitor converters in a series-input-parallel-output connected fashion for the implementation of a solid-state transformer. A finite-control-set model-based predictive control algorithm is developed for the control of the active rectifier front-ends. Pulse width modulation is used for the isolation back-ends. A solid-state transformer is constructed with two of the proposed back-to-back converters and experimental results are presented.