Hexverter　topology　has　the　advantages　of　small　volume　and　weight,　and　low　cost,　etc.　It　can　be　used　in　asynchronous　power　system　interconnection,　the　renewable　energy　penetration　and　other　scenarios.　Firstly,　this　paper　studied　the　mathematical　model　of　Hexverter,　and　established　a　multiple-dq　decoupling　control　model　based　on　two　kinds　of　frequency　components　of　the　primary　and　secondary　sides.　This　control　model　realized　the　flexible　power　flow　control.　Secondly,　this　paper　studied　the　mathematical　model　of　double-loop　zero　sequence　network.　And　the　research　believes　that,　the　zero-sequence　circulating　current　in　outer-loop　of　the　zero-sequence　network　can　be　suppressed　by　zero-sequence　compensation　voltage　in　series,　while　the　zero-sequence　circulating　current　in　inner-loop　is　the　key　to　achieve　capacitor　voltage　balancing　control.　Furthermore,　this　paper　established　circulating　current　suppression　and　capacitor　voltage　balancing　control　strategies.　Finally,　the　simulation　results　by　Matlab　verify　the　correctness　of　the　mathematical　models　and　the　control　strategies.　©　2021　IEEE.