In　order　to　achieve　the　secure　and　economical　dispatch　of　high-proportion　renewable　energy　distribution　systems,　an　interval　optimization　dispatching　method　that　takes　into　account　the　uncertainty　of　wind,　PV　power　and　load　demand　prediction　errors　and　the　flexibility　of　the　network　is　proposed.　To　avoid　the　information　loss　in　traditional　methods,　the　conservatism　of　traditional　interval-based　methods,　and　the　aggressiveness　of　interval　truncation　methods,　the　paper　describes　the　interval　boundaries　of　uncertainty　factors　based　on　the　probability　box　theory　and　conditional　value-at-risk　methods.　Subsequently,　the　time　coupling　constraint　of　the　dispatching　plan　is　established　based　on　the　real-time　adjustment　capability　of　the　flexibility　resources,　and　the　line　transmission　flexibility　cross-limit　constraint　is　established　to　improve　the　adaptability　of　the　proposed　method.　The　goal　of　the　optimization　is　to　minimize　the　total　operating　cost,　and　the　genetic　algorithm　is　used　for　solving.　The　examples　based　on　the　IEEE　33-bus　test　system,　the　actual　distribution　network　of　a　region　and　the　PG&E　69　node　network　are　analyzed,　and　the　results　demonstrate　that　the　proposed　model　ensures　distribution　lines　to　meet　transmission　capacity　constraints　while　achieving　optimal　system　operating　costs.　©　2024　Science　Press.　All　rights　reserved.