As　an　essential　apparatus　in　resonance　grounding　systems,　the　arc　suppression　coil　is　widely　used　in　rejecting　the　single-line-to-ground　(SLG)　fault　of　distribution　networks.　However,　the　resistive　ground-fault　current　cannot　be　compensated　by　an　arc　suppression　coil　(ASC).　As　a　novel　active　arc　suppression　device,　the　hybrid　flexible　arc　suppression　device　(HFASD)　composed　of　ASC　and　flexible　arc　suppression　device　(FASD)　can　eliminate　the　capacitive　component　of　ground-fault　current　and　the　resistive　component　of　ground-fault　current.　After　the　SLG　fault　occurs,　the　FASD　from　stand-alone　mode　to　grid-connected　mode　may　lead　to　switching　transients,　affecting　the　stability　of　distribution　networks.　The　soft　grid　connection　(SGC)　strategy　can　achieve　low　or　without　transient　response　during　the　grid　synchronization　of　FASD　to　the　grid.　Thus,　the　HFASD　based　on　SGC　strategy　and　segmented　proportional-integral-differential　(SPID)　and　second-order　generalized　integrator　phase-locked　loop　(SOGI-PLL)　control　method　is　proposed　for　rejecting　the　current　and　voltage　overshoot　responses　during　the　process　of　grid　synchronization　of　FASD　in　this　paper.　Simulation　and　experimental　results　verify　the　effectiveness　of　the　proposed　method,　and　the　benefit　of　the　proposed　method　is　indicated　in　comparison　with　the　non-SGC　(NSGC)　strategy.　©　2021　The　Authors.　IET　Generation,　Transmission　&　Distribution　published　by　John　Wiley　&　Sons　Ltd　on　behalf　of　The　Institution　of　Engineering　and　Technology