The　gradual　increase　in　the　penetration　rate　of　distributed　renewable　energy　has　become　a　new　situation.　Under　the　new　situation,　industrial　users　with　high　energy　consumption　need　to　make　reasonable　decisions　in　electricity　and　carbon　markets　while　ensuring　power　quality.　This　is　a　real　problem　that　needs　to　be　solved　for　high　energy　consumption　industrial　users.　Therefore,　we　propose　a　decision　model　for　industrial　users　participating　in　electricity　and　carbon　markets　considering　differentiated　power　quality　based　on　information　gap　decision　theory　(IGDT).　Firstly,　we　analyze　the　impact　of　users＇　installation　of　distributed　renewable　energy　on　their　power　quality　and　carbon　emissions.　Considering　the　differentiated　power　quality　services　in　the　future　electricity　market,　the　carbon　emissions　when　the　user　chooses　different　levels　of　power　quality　are　quantified.　Secondly,　a　decision-making　model　of　industrial　users　participating　in　electricity　market　and　carbon　market　considering　differentiated　power　quality　services　is　established.　The　objective　function　is　the　maximum　profit　of　the　user　participating　in　the　double　market　trading　performance　period.　Thirdly,　the　IGDT　theory　is　used　to　describe　the　uncertainty　of　distributed　renewable　energy　generation,　which　reduces　the　decision-making　risk　of　industrial　users.　Finally,　we　take　a　steel　production　enterprise　as　an　example　to　analyze.　The　numerical　results　show　that　the　proposed　model　can　reduce　carbon　emissions　and　obtain　maximum　benefits　for　industrial　users.　The　proposed　model　can　realize　the　coordination　and　optimization　of　monthly　electricity　purchase　and　carbon　quota　trading　volume.　Moreover,　it　can　help　industrial　users　rationally　arrange　the　access　capacity　of　distributed　renewable　energy　devices　and　select　the　improved　power　quality　level.　©　2025　Elsevier　Ltd