Virtual　power　plants　(VPP)　can　act　as　an　independent　entity　to　aggregate　different　distributed　resources　to　participate　in　the　electricity　market,　which　is　an　inevitable　trend　in　building　green　and　low-carbon　power　systems.　To　investigate　the　beneficial　effect　of　bi-directional　electric-hydrogen　conversion　on　market　trading　and　optimal　scheduling　of　VPP,　this　paper　presents　an　optimal　scheduling　method　for　VPP　with　reversible　solid　oxide　cells　(RSOC)　in　the　electricity　market.　Firstly,　according　to　the　Butler-Volmer　equation　and　Faraday　law,　the　relationship　between　the　hydrogen　flow　rate　and　the　electric　power　is　established,　and　the　equivalent　physical　models　of　the　two　RSOC　working　modes　are　developed　based　on　the　relationship.　Then,　the　optimal　scheduling　model　of　the　VPP　participating　in　the　energy　and　reserve　joint　market　is　proposed　based　on　the　two-stage　robust　optimization　theory.　The　system　operator　reserve　demand　is　used　to　describe　the　uncertainty　of　the　transactions　between　VPP　and　reserve　market.　Finally,　the　column　and　constraint　generation　(C&CG)　algorithm　is　used　to　solve　the　two-stage　robust　scheduling　model.　The　simulation　results　show　that　RSOC　can　effectively　promote　renewable　energy　consumption　and　improve　the　VPP　operating　profit.　Where,　the　operating　profit　can　be　increased　by　46.5　%　and　the　wind　power　consumption　rate　can　be　increased　by　3.4　%,　compared　with　the　non-hydrogen　VPP.　Furthermore,　compared　with　the　traditional　conversion　equipment,　RSOC　can　increase　the　VPP　operating　profit　by　2.3　%　and　the　wind　power　consumption　rate　by　1.85　%.　©　2024　Elsevier　Ltd