Abstract: Due to the access of distributed generation and energy storage devices,the complexity of power supply recovery and optimization of the active distribution network after fault isolation increases significantly. In view of the recovery control of the active distribution network after fault,this paper proposes a scheme of recovering the lost power load by line and islanding.The mathematical model of multi-objective restoration control is established, and the power flow constraint, distributed generation output constraint and safe and stable operation constraint in the model are described in detail. The convex relaxation of the flow model is carried out by using the secondorder cone technique,and the multi-objective optimization is transformed by using the multi-weight method. The original problem is transformed into a mixed integer second-order cone model with single objective. In addition,the island division scheme is established before the decision is made and then the lost power load after island division is taken as the objective function,so that the recovery decision results fully consider the tie line and island division. Finally,on the improved IEEE33node system,the power supply recovery scheme is given for both fault scenarios. The simulation result of the example shows that compared with the isolated island recovery scheme, the proposed scheme can not only solve the single point fault recovery problem quickly,but also provide the optimal recovery scheme for the complex multi-point fault recovery quickly,and realize the maximum recovery of lost power load,and expand the recovery range of the power loss area of the active distribution network. Therefore,the reliability of continuous power supply of the active power distribution network and the consumption level of new energy source can be improved.