The　electricity-gas　interconnection　system　plays　an　important　role　in　enhancing　energy　efficiency　and　promoting　cleaner　energy　utilization.　As　the　impact　of　source-load　uncertainty　on　electricity-gas　transmission　grows,　it　is　crucial　to　quantitatively　analyze　the　dynamic　energy　flow　in　this　interconnected　system　under　uncertainty.　This　study　introduces　an　affine　dynamic　energy　flow　algorithm　for　the　electricity-gas　interconnection　system　based　on　time-domain　embedded.　Initially,　an　affine　dynamic　energy　flow　model　is　established　based　on　uncertainties　characterized　by　affine　arithmetic.　By　embedding　the　time　domain,　the　affine　differential　equations　are　transformed　into　a　recursive　computational　problem,　providing　an　explicit　expression　of　the　affine　energy　flow　concerning　time.　To　address　the　challenge　of　noise　element　superposition　in　multi-temporal　computations　and　enhance　efficiency,　a　method　based　on　dynamic　noise　element　correction　is　proposed.　This　technique　yields　the　distribution　of　affine　dynamic　energy　flow　in　continuous　time.　Simulation　results　validate　the　algorithm＇s　ability　to　quantitatively　analyze　the　transfer　of　source-load　uncertainty　over　time,　showcasing　its　high　accuracy,　low　conservatism,　and　computational　efficiency.　©2025　Chin.Soc.for　Elec.Eng.