The　low　frequency　ripple　of　the　input　side　current　of　the　single-phase　inverter　will　reduce　the　efficiency　of　the　power　generation　system　and　affect　the　overall　performance　of　the　system.　Aiming　at　this　problem,　this　paper　proposes　a　two-modal　modulation　method　and　its　MPC　multi-loop　composite　control　strategy　on　the　circuit　topology　of　a　single-stage　boost　inverter　with　a　buffer　unit.　The　control　strategy　achieves　the　balance　of　active　power　on　both　sides　of　AC　and　DC　by　controlling　the　stable　average　value　of　the　buffer　capacitor　voltage,　and　provides　a　current　reference　for　inductance　current　of　the　DC　input　side.　At　the　same　time,　the　MPC　controller　uses　the　minimum　inductor　current　error　as　the　cost　function　to　control　inductor　current　to　track　its　reference　to　achieve　low　frequency　ripple　suppression　of　the　input　current.　In　principle,　it　is　expounded　that　the　inverter　using　the　proposed　control　strategy　has　better　low　frequency　ripple　suppression　effect　than　the　multi-loop　PI　control　strategy,　and　the　conclusion　is　proved　by　the　simulation　data.　Finally,　an　experimental　device　of　a　single-stage　boost　inverter　using　MPC　multi-loop　composite　control　strategy　is　designed　and　fabricated,　and　the　experimental　results　show　that　the　proposed　research　scheme　has　good　low　frequency　ripple　suppression　effect　and　strong　adaptability　to　different　types　of　loads.　©　2023.　The　Author(s).