Abstract: As the penetration rate of new energy sources increases, risks such as transmission line overloads and insufficient reserves in power systems are becoming more pronounced. For power system operation, such a change manifests as increased difficulty in meeting system constraints, significantly decelerating the solution of network-constrained unit commitment (NCUC), which calls for efficient cutting plane methods. Existing cutting plane methods for system constraints lack satisfactory efficiency. This paper proposes a universal method of generating cutting planes for system constraints. The adjacent time slots are divided into subsystems, and an approximation of the optimal solution is utilized to formulate the inducing models of subsystems. The cutting planes can be obtained after solving the inducing models. Simulation results have shown that the proposed method stands out in its significant and robust efficiency, automation, strong universality, and good industrial application prospects.