Automatic reclosure (AR) is extremely effective in improving the reliability, stability and security of the overall power system. However, the present autoreclosure operates blindly and practices employing a fixed time. In the case of permanent fault, a second shock to the system can cause irreparable damage to expensive equipments. According to characters of transient faults and permanent faults, this presentation introduces the method of Bergeron line model into the field of single-phase adaptive reclosing (SPAR). Therefore, the presentation proposes a novel scheme based on the calculation of Bergeron model to realize SPAR. Theoretical analysis and simulation prove that the proposed scheme of single-phase adaptive reclosing is valid with high sensitivity and reliability.