Abstract: Soft open point（SOP） refers to a novel power electronic device installed in active distribution networks（ADNs） to replace the traditional tie switch. The application of SOP will promote the flexibility and resilience of ADNs. Under a fault condition, SOP enables to provide voltage support and helps to expand the scope of power supply for the supply restoration. In this paper, a supply restoration model of active distribution system was established based on SOP, which is essentially a complex nonlinear programming problem. To obtain a high quality solution rapidly and accurately, the second order cone programming was adopted to solve this problem. Then, the modified IEEE 33-node system was used to verify the effectiveness and efficiency of the proposed method.