The invention discloses an energy-feeding flexible grounding device for a power distribution network, a fault 
arc extinction method and a direct-current-side-
voltage control method and 
system of the energy-feeding flexible grounding device. The fault 
arc extinction method includes the steps that when a single-phase grounding fault is generated, a neutral point of the power distribution network is grounded through a flexible grounding device, the flexible grounding device is controlled to inject a resistive current and a reactive current into the neutral point in sequence, a fault 
feeder line is judged, and 
arc extinction of a fault point is promoted. The direct-current-side-
voltage control method includes the step that energy exchanging between the flexible grounding device and the power distribution network is achieved through a direct-current-side 
capacitor voltage outer loop and a three-phase input current 
inner loop, and therefore it is guaranteed that the direct-current-side voltage is constant. By means of the direct-current-side-
voltage control method, the problems that the direct-current-side voltage of a traditional flexible grounding device is difficult to stabilize, the 
harmonic content of an injected current is high, and 
system stability is poor can be solved; by switching control 
modes, the fault 
feeder line can be accurately identified, an instant grounding fault 
electric arc can be eliminated, and the power supply reliability of the power distribution network can be improved.