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We present a finite control set model predictive controller for closed loop control of an active front-end rectifier. Our method operates in discrete-time and does not require additional modulators. The key novelty of the control algorithm presented lies in the way dynamic references are handled. The control strategy is capable of providing suitable references for the source active power and the rectified voltage, without requiring additional control loops. Experimental results show that fast and accurate tracking of dynamic DC-voltage and reactive power references can be achieved, while respecting restrictions on maximum power levels of the rectifier.

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