Single-phase　grounding　faults　in　distribution　networks　can　generate　arcs,　posing　significant　risks　such　as　electric　shock　and　forest　fires.　The　flexible　arc　suppression　device　(FASD)　is　capable　of　suppressing　the　arc.　However,　traditional　FASDs　do　not　account　for　line　voltage　drop　and　asymmetry　in　ground　parameters　when　calculating　the　injection　current　reference　value.　Consequently,　changes　in　ground　fault　conditions　can　impair　the　effectiveness　of　zero　residual　current　suppression,　undermining　the　reliability　of　arc　suppression.　To　address　this　issue,　this　article　proposes　a　flexible　arc　suppression　method　that　adapts　to　line　parameter　variations.　This　article　provides　a　theoretical　analysis　of　the　differences　between　the　newly　deduced　arc　suppression　algorithm　and　the　original　algorithm,　with　a　focus　on　zero-sequence　voltage　regulation　and　ground　fault　current　suppression.　The　analysis　elucidates　the　law　of　parameter　variations　governing　the　dominant　zero-sequence　voltage　difference　after　regulation.　Subsequently,　an　adaptive　injection　current　arc　suppression　algorithm　is　proposed　based　on　this　law,　which　accommodates　changes　in　line　parameters.　Compared　to　traditional　methods,　the　proposed　algorithm　demonstrates　enhanced　adaptability　to　variations　in　grounding　fault　parameters　and　significantly　improves　current　suppression　effectiveness.　The　correctness　and　feasibility　of　the　method　are　validated　through　PSCAD/EMTDC　simulations　and　physical　experiments.