When single-phase grounding fault occurs in high voltage transmission line, secondary arc current and recovery voltage must be suppressed in order to ensure that single-phase auto-reclosing operates reliably and successfully. Automatic single-phase reclosing is used to clear single-phase-to-ground faults, which are about 80% of the transient faults. In order to have successful fast reclosing, different methods are used to extinguish the arc. One of the common methods is to use a single-phase reactor in the neutral of shunt reactor, when transmission line is compensated with shunt reactors. In this paper, exact system and an exact arc modeling is used for transient simulation of neutral reactor and guidelines for selecting the appropriate amount for the neutral reactor are proposed. then uses EMTP-RV software to simulate suppression effect about different fault point locations toward an example of 400kv double-ended sources high-voltage transmission line.