In　order　to　overcome　the　problem　of　power　fluctuation　and　over-current　in　grid-connected　inverters　under　unbalanced　grid　voltage,　a　flexible　unbalanced　control　strategy　based　on　model　predictive　control　with　peak　current　limitation　for　grid-connected　inverters　is　proposed.　This　method　is　aimed　at　balancing　the　current,　eliminating　active　and　reactive　power　oscillations　to　design　a　current　reference　generator.　The　quantitative　relationship　between　the　power　reference　set　value　and　the　peak　output　current　value　is　obtained　through　the　power　reference　generator　to　guide　the　power　reference　setting　under　unbalanced　grid　voltage.　On　this　basis,　the　control　strategy　of　grid-connected　model　predictive　current　based　on　reference　voltage　to　establish　cost　function　method　is　given,　and　the　reference　current　is　accurately　tracked.　Simulation　and　experimental　results　show　that　the　proposed　method　can　flexibly　realize　the　control　of　output　current　balance,　active　or　reactive　power　constant　under　unbalanced　grid　voltage,　and　the　current　peak　is　limited　effectively　under　the　balance　current,　constant　active　and　reactive　power　mode.　©　2019,　Electrical　Technology　Press　Co.　Ltd.　All　right　reserved.