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In this paper, the state-space-averaging method is used to develop the dynamic model of a grid-connected three-phase single-stage boost inverter in a synchronous frame of reference. The case study single-stage inverter has a current source topology, associated with a modified space-vector pulse-width-modulated switching pattern. In the proposed method, the state-space equations of the system in dq-frame of reference are derived and averaged over a switching cycle. Then, the perturbation and linearization technique is applied to derive the small-signal model of the system. The developed model can be used as a tool mainly for the stability and control studies of the grid-connected single-stage boost inverter. The validity of the obtained state-space-averaged model is verified through experiments.