Based　on　the　topology　of　five　level　nested　neutral　point　clamped　(NNPC)　grid　connected　inverter,　this　paper　compares　two　type　of　finite　control　set　model　predictive　control　(FCS-MPC)　methods　to　reduce　the　amount　of　calculation　time　compare　with　the　traditional　FCS-MPC.　The　first　method　is　based　on　space　vector　modulation　approach　which　uses　60-degree　voltage　state　vector　for　the　prediction　to　reduce　the　calculation　time　of　each　control　period　in　FCS-MPC　algorithm.　While　the　second　method　is　to　simplify　the　calculation　time　by　using　the　FCS-MPC　based　on　adjacent　state　vector　method.　Through　comparative　analysis,　it　can　be　seen　that　the　60　degrees　sector　FCS-MPC　have　similar　performances　regarding　the　current　THD;　the　upper　and　lower　DC　voltage　deviation　of　DC-link　capacitors.　The　main　difference　is　on　the　computation　time　which　results　to　35　control　periods　compare　to　125　for　the　traditional　FCS-MPC.　The　adjacent　state　vector　method　results　to　7-29　control　period.　©　2021　IEEE.