For　the　security　constrained　unit　commitment　(SCUC)　with　wind　power,　the　nonanticipative　constraints　are　not　satisfied　by　the　widely　adopted　two-stage　robust　optimization　based　methods,　and　there　exists　a　very　serious　deficiency.　Meanwhile,　the　maximum　accommodation　and　the　optimal　economic　accommodation　of　the　wind　energy　are　not　clearly　distinguished　from　each　other.　In　this　study,　models　and　solution　methods　for　solving　the　maximum　accommodation　and　the　optimal　economic　accommodation　of　the　wind　energy　in　SCUC　are　proposed　to　address　these　issues.　A　variable　uncertainty　set　of　wind　power　is　introduced　to　replace　the　widely　adopted　fixed　uncertainty　set　so　that　the　model　and　the　method　can　accommodate　possible　wind　curtailment　decision　to　expand　the　scheduling　solution　space.　A　group　of　small　scale　strong　nonanticipative　constraints　is　introduced　to　guarantee　the　nonanticipativity　of　the　scheduling　solution　and　to　avoid　the　huge　number　of　nonanticipative　constraints　in　the　traditional　modelling　methods.　An　all-scenario-feasible　scheduling　model　based　on　the　vertices　of　the　variable　uncertainty　set　is　established　to　avoid　the　complex　min-max　structure　in　the　robust　optimization　based　framework,　so　that　only　a　single　level　mixed　integer　linear　programming　(MILP)　problem　needs　to　be　solved　in　the　proposed　method,　and　the　optimal　scheduling　solution　is　obtained.　Numerical　results　on　an　IEEE　118-bus　system　show　that　the　performance　of　the　proposed　algorithm　is　satisfactory.　The　differences　between　the　maximum　accommodation　and　the　optimal　economic　accommodation　of　the　wind　energy　are　clearly　revealed　and　the　economic　accommodation　level　of　wind　power　is　increased.　©　2019,　Editorial　Office　of　Journal　of　Xi＇an　Jiaotong　University.　All　right　reserved.