For the scenario where the voltage safety boundary limits the load increase, in order to allow more load access, expand the safety constraint for boundary relaxation, but this is bound to increase a certain risk, and a static voltage safety boundary relaxation risk carving method is proposed to address the above problems. First, the critical voltage point is searched for stability margin assessment, which together with the voltage threshold for triggering low-voltage load shedding action constitutes the relaxed voltage limit boundary. Second, expand the voltage safety constraints, increase the system load and calculate the probability of static voltage instability or triggering low-voltage load shedding action based on the sampling of the current load condition due to the uncertainty of the load change. Second, optimize the generator output and adjustable resources to get the voltage restoration control cost with the objective of minimizing the cost, and then portraying the relaxation risk from the obtained probability and the restoration control cost; finally, a simulation analysis is conducted with the IEEE39 node system to verify the effectiveness of the proposed method.