As　one　kind　of　active　arc　suppression　devices,　the　hybrid　flexible　arc　suppression　device　(HFASD)　with　currentbased　arc　suppression　method　can　eliminate　the　ground-fault　current　during　the　single-line-to-ground　(SLG)　fault.　One　of　the　most　important　aspects　for　current-based　arc　suppression　method　is　the　insulation　parameters　measurement.　The　reference　current　of　current-based　arc　suppression　method　is　calculated　by　the　insulation　parameters,　including　the　ground　capacitance　and　ground　leakage　conductance.　For　the　sake　of　obtaining　highprecision　reference　current　of　current-based　arc　suppression　method,　the　insulation　parameters　should　be　measured　accurately.　However,　the　most　of　existing　methods　of　insulation　parameters　measurement　should　increase　the　additional　device　cost　and　measure　inaccurately.　In　this　paper,　HFASD　based　on　second-order　generalized　integrator　phase-locked　loop　(SOGI-PLL)　algorithm　and　twice　injection　current　method　is　proposed　to　measure　the　insulation　parameters　under　the　normal　condition　of　distribution　networks.　The　simulation　and　experimental　results　verify　the　effectiveness　of　the　proposed　method　under　different　influence　factors.