“…Since, both the VSI and AFE have cross-coupling terms in their stateequations, misalignment of the PLL to the grid, can cause interactive effects between both sub-systems. Equations (20) and (21) presented how each of the cross-coupling terms found in each converter's state equations can be redefined, as to attribute the angle θ e of misalignment between the two converters dq-frames during disturbance events. Therefore, by substituting (20) into the AFE state equations (5) and 6, where cross-coupling with VSI is present, the states can then be defined as those in (27) and (28) respectively, to correctly account for misaligned cross-coupled VSI states in the AFE model.…”