Hydrogen-enriched　compressed　natural　gas　pemetrated　integrated　energy　system　(HPIES)　stands　as　a　highly　promising　technique　for　enhancing　energy　efficiency　and　mitigating　emissions,　owing　to　its　capacity　to　effectively　address　the　issue　of　elevated　hydrogen　transportation　expenses.　Traditional　integrated　energy　systems　(IESs)　fail　to　describe　the　impact　of　hydrogen　blending　on　gas　properties,　gas　transportation,　and　gas　separation,　and　face　economic　challenges.　Therefore,　in　this　paper,　a　novel　HPIES　optimal　scheduling　model　is　established　considering　the　multi-membrane　hydrogen　separation　and　the　variable　efficiency　model　of　electrolyzer.　Firstly,　the　HPIES　model,　considering　variable　hydrogen　doping　ratio　and　uncertain　starting　flow　direction,　is　developed.　Secondly,　in　HPIES,　two　kinds　of　membranes　are　combined　to　form　a　multi-membrane　hydrogen　separation　model.　The　thermodynamics　of　the　electrolyzer　and　the　bubble　coverage　model　are　considered　in　the　optimization　of　HPIES.　Finally,　the　effectiveness　of　the　proposed　model　is　verified　by　taking　IEEE　39　—　bus　power　system　and　20　—　node　natural　gas　system　as　an　example.　In　addition,　the　results　indicate　that　HPIES　can　accurately　reflect　the　flow　of　the　system,　and　it　has　led　to　a　cost　reduction　of　$439,156.　Meanwhile,　the　model　demonstrates　that　multi-membrane　hydrogen　separation　can　reduce　46.861　MW　and　38.359　MW,　respectively,　in　a　single　day　compared　to　the　other　two　membranes.　The　variable　efficiency　model　of　the　electrolyzer　can　reflect　the　trend　of　changes　in　the　electrolyzer.　©　2025　Hydrogen　Energy　Publications　LLC