As the only power output channel of wind farms, wind-powered outgoing lines carry the risk of reclosing to faults as an applied single-phase reclosing scheme recloses the outgoing line after a fixed time without distinguishing transient and permanent faults. Although various transient-fault identification (TFI) methods were proposed for conventional power transmission lines with shunt reactors, they can be hardly utilised on wind-powered outgoing lines with shunt reactors due to the influence of outgoing line complex working conditions and wind farms inconsistent output power. In this study, reactive power was calculated using the instantaneous power algorithm to obtain the equivalent reactance of the outgoing line faulty phase shunt reactor. Then, a TFI method for the outgoing lines with shunt reactors based on online parameter determination was proposed, a relevant adaptive single-phase auto-reclosing (ASPAR) scheme was established. Finally, the validity and feasibility of the proposed TFI method and ASPAR scheme were verified by conducting simulation experiments on the software PSCAD/ EMTDC. The experiments confirmed that the proposed ASPAR scheme can achieve immunity to changes in fault location and transition resistance, and are therefore suitable for inconsistent output power of wind farms and complex working conditions of outgoing lines.