A method for restoration of a network distribution system damaged by an unfriendly impact is considered. The peculiarity of the method is the application of limit graphs to the solution of the restoration problem and the possibility of finding various optimization solutions taking into account the time and cost of work, the power shortage of sources, the number of switching operations of commutators, and others. The description of the method and restoration operations is given, taking into account the category of consumers. The assessment of the technical stability of the power distribution system is carried out on the example of a network fragment. The proposed approach can be used to formulate recommendations for improving the stability of infrastructure systems and to support the decision maker in real conditions of unfavorable factors.