Since　the　effectiveness　of　the　flexible　current　arc　suppression　method　heavily　relies　on　the　accurate　measurement　of　the　distribution　line-to-ground　parameters,　the　suppression　of　single　line-to-ground　(SLG)　fault　current　may　deteriorate　due　to　factors　such　as　line　switching　and　other　disturbances　during　SLG　fault　arc　suppression.　Additionally,　during　SLG　fault　arc　suppression,　promptly　identifying　the　fault　type　and　rapidly　deactivating　the　flexible　arc　suppression　device　(FASD)　can　reduce　the　overvoltage　risk　in　non-faulted　phase　devices.　To　address　these　issues,　this　paper　presents　a　parameter　identification　method　based　on　recursive　least　squares　(RLS)　while　a　variable　forgetting　factor　strategy　is　introduces　to　enhance　the　RLS　algorithm＇s　disturbance　rejection　capability.　Simulations　verify　that　the　variable　forgetting　factor　recursive　least　squares　(VFF-RLS)　algorithm　can　accurately　identify　distribution　line-to-ground　parameters　in　real　time　and　effectively　suppress　SLG　fault　current.　The　online　identification　of　grounding　transition　conductance　is　simultaneously　used　to　determine　the　fault　type　and　quickly　detect　when　the　SLG　fault　has　been　cleared.