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In a conventional FCS-MPC formulation, active and reactive power control loops rely on the predictive controller while the dc-bus voltage is usually governed by a PI-based control loop. This comes from fact that the dynamic equations for describing the predictions of these variables are heavily coupled. In this paper, a cascadefree finite control set model predictive control (FCS-MPC) for single-phase grid-connected power converters is presented. The proposed control algorithm is formulated in terms of established dynamic references design, which was originally proposed to directly govern active and reactive power, and dc-voltage in three-phase power converters. In this work, the dynamic reference design concept is extended to control single-phase grid-connected power converters. The proposed control algorithm does not use instantaneous ac-power calculations; instead it directly formulates the optimal control problem on the grid-current in the original stationary reference frame. The experimental results obtained with a single-phase grid-connected Neutral Point Clamped (NPC) converter confirm a successful design, where system constraints, e.g. maximum power and weighted switching frequency, are easily taken into account.

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