The　large-scale　development　and　integration　of　renewable　energy　has　brought　great　uncertainty　to　the　power　system　and　increased　the　complexity　of　power　system　analysis.　As　an　extension　of　interval　arithmetic,　affine　arithmetic　is　of　great　significance　for　the　uncertainty　analysis　of　the　power　system　by　considering　the　interactions　between　the　uncertain　factors.　This　paper　compares　the　differences　between　the　current　affine　arithmetic-based　power　flow　algorithms,　and　analyzes　their　characteristics　and　applications.　Firstly,　the　affine　arithmetic　is　reviewed　and　analyzed,　and　the　main　sources　and　characteristics　of　its　conservatism　are　summarized.　The　affine　arithmetic-based　power　flow　algorithms　are　divided　into　the　affine　iterative　algorithm　and　the　affine　optimization　algorithm,　and　the　two　types　of　the　common　algorithms　are　compared　and　analyzed.　Then,　the　applications　of　the　interval　power　flow　algorithm　based　on　the　affine　arithmetic　are　analyzed.　Finally,　the　problems　and　research　directions　of　the　affine　flow　in　the　future　are　pointed　out.　©　2021,　Power　System　Technology　Press.　All　right　reserved.