When　the　grid　is　under　the　condition　of　unbalanced　voltage,　the　problems　such　as　the　inverter　output　active　and　reactive　power　oscillation,　output　power　quality　degradation　and　overcurrent　can　be　occurred.　In　order　to　overcome　these　problems,　there　are　three　different　controlling　targets:　balancing　current,　suppressing　active　power　as　well　as　reactive　power　fluctuation.　According　to　the　instantaneous　power　theory,　it　is　impossible　to　achieve　all　controlling　targets　simultaneously.　This　paper　proposed　a　grid-connected　inverter　current　quality/power　coordinated　controlling　strategy.　The　method　which　uses　the　IPSO　algorithm　to　set　the　weight　coefficient　considers　the　current　balance,　the　active　power　and　the　reactive　power　fluctuation　comprehensively.　Simultaneously,　the　output　current　can　be　limited　to　the　maximum　output　current　of　the　inverter.　On　this　basis,　the　grid-connected　model　predictive　current　controlling　strategy　based　on　the　reference　voltage　is　established　to　realize　the　fast　and　accurate　tracking　of　the　reference　current.　The　simulation　results　show　that　the　proposed　method　can　coordinate　the　inverter　output　current　balance,　suppress　the　active　power　and　the　reactive　power　fluctuation　oscillation,　as　well　as　effectively　limit　the　current　peak.　©　2019　IEEE.