Affine　power　flow　algorithm　is　critical　for　solving　the　uncertain　power　flow.　It　is　necessary　to　improve　the　computational　efficiency　and　reduce　the　conservatism　of　the　algorithm.　In　the　paper,　based　on　the　fixed　noise　element,　a　predictor-corrector　affine　equation　iterative　model　was　proposed.　Meanwhile,　the　optimal　correction　strategy　was　proposed　to　adjust　the　noise　element　coefficient　to　ensure　the　completeness　while　reducing　the　conservatism.　Furthermore,　the　power-voltage　affine　model　with　noise　element　correlation　was　established　based　on　the　characteristics　of　load　demand.　Simultaneously,　the　affine　power　flow　equation　was　established　based　on　the　power-voltage　affine　model.　Finally,　a　Gauss-Seidel　and　a　Newton-Raphson　affine　power　flow　algorithm　based　on　predictor-corrector　method　were　proposed.　It　is　verified　that　the　proposed　algorithm　can　reduce　the　conservatism　with　higher　computational　efficiency　and　accelerate　convergence　speed.　©　2021　Chin.　Soc.　for　Elec.　Eng.