Conventional　model　predictive　control　(MPC)　suffers　from　unfixed　switching　frequency,　heavy　computational　burden,　and　cumbersome　weighting　factors＇　tuning,　especially　for　multilevel　inverter　applications　due　to　a　large　number　of　voltage　vectors.　To　address　these　concerns,　this　article　proposes　multiple-voltage-vector　(MVV)　MPC　algorithms　with　reduced　complexity　and　fixed　switching　frequency　for　T-type　three-phase　three-level　inverters.　First,　MMVs　are　adopted　during　each　control　period,　and　their　execution　times　are　set　according　to　the　predefined　cost　functions.　Second,　weighting　factors　for　balancing　the　neutral　point　(NP)　voltage　in　the　cost　function　are　eliminated　by　utilizing　redundant　voltage　vectors,　which　simplifies　the　control　implementation.　Third,　through　mapping　the　reference　voltage　in　the　first　large　sector,　the　calculation　complexity　for　the　execution　times　of　voltage　vectors　in　different　large　sectors　becomes　much　lower.　Finally,　main　experimental　results　were　presented　to　validate　the　effectiveness　of　the　proposed　algorithms.　©　2020　IEEE.