In　distribution　networks,　a　single-line-to-ground　fault　frequently　occurs,　which　poses　a　risk　to　the　safe　operation　of　power　equipment　and　causes　significant　property　damage.　The　conventional　arc　suppression　coil　serves　as　a　passive　compensating　device,　which　is　utilized　to　compensate　for　the　capacitive　component　of　the　fault　current.　However,　it　lacks　the　ability　to　compensate　for　an　active　component　of　the　fault　current.　To　address　this　issue,　this　paper　proposes　a　cascaded　H-bridge　inverter　based　on　a　backstepping　control　method　with　DC　suppression.　This　method　aims　to　fully　compensate　for　the　ground-fault　current　and　restrict　the　faulty　phase　voltage.　The　proposed　approach　effectively　mitigates　the　impact　of　system　parameter　perturbations,　suppresses　the　DC　component　of　the　injected　current,　and　reliably　limits　the　fault　current.　Through　simulation　verification　with　different　fault　resistances,　the　results　indicate　the　feasibility　of　the　proposed　method.　©2023　IEEE.