The　affine　arithmetic　is　an　important　tool　for　solving　the　uncertain　power　flow　problem.　The　traditional　affine　power　flow　method　has　the　disadvantages　of　over-conservative,　low　efficiency　and　high　requirement　of　the　iterative　initial　values.　To　deal　with　these　issues,　an　affine　power　flow　algorithm　for　the　power　system　based　on　holomorphic　embedding　method　is　proposed　in　this　paper.　First,　the　nodal　voltage　and　power　affine　models　of　the　power　system　are　developed,　and　the　affine　power　flow　equations　are　established.　On　this　basis,　the　embedding　factor　is　introduced　into　the　affine　power　flow　equations　and　a　holomorphic　embedded　affine　model　with　Taylor　series　form　is　developed.　What’s　more,　the　affine　power　flow　solution　problem　is　converted　into　a　solution　problem　with　Taylor　power　series　coefficients.　Thus,　the　germ　solution　and　the　recurrence　relations　of　the　status　variables　are　obtained,　and　the　affine　values　of　the　uncertain　power　flow　are　computed.　Finally,　several　numerical　results　are　presented　and　discussed,　demonstrating　that　the　proposed　algorithm　has　the　advantages　of　low　conservativeness,　high　computational　efficiency　and　the　ability　to　analyze　the　impact　of　distributed　generation　on　voltage　quantificational.　©　2024　Chinese　Society　for　Electrical　Engineering.　All　rights　reserved.