In　this　paper,　by　applying　the　interval　Taylor　expansion　method　to　the　AC/DC　hybrid　distribution　network　and　combining　it　with　the　augmented　rectangular　coordinate　model,　an　interval　power　flow　algorithm　suitable　for　solving　the　intermittent　power　supply　and　fluctuating　load　in　the　AC/DC　hybrid　distribution　network　is　proposed.　The　algorithm　considers　the　influence　of　the　fluctuation　of　voltage　and　power　in　the　DC　distribution　network　on　the　power　flow　and　modulation　ratio　of　the　AC　distribution　network　and　the　voltage　source　converter　under　the　master-slave　control　strategy　and　the　peer-to-peer　control　strategy,　which　successfully　avoids　the　interval　iteration　and　the　nonlinear　programming.　Based　on　the　augmented　rectangular　coordinate　model,　the　Jacobian　matrix　and　the　Hessen　matrix　are　extremely　sparse,　which　improves　the　calculation　efficiency.　Finally,　this　paper　verifies　the　algorithm　in　the　IEEE33　extended　AC/DC　hybrid　distribution　network,　and　the　effectiveness　of　the　algorithm　is　also　proved　by　comparing　the　results　with　those　after　the　Monte　Carlo　algorithm　is　run.　©　2021,　Power　System　Technology　Press.　All　right　reserved.