As wind power penetration increases, the inertial response of a power system and the ability of primary frequency modulation are reduced. This makes the frequency safety problem gradually more prominent. It is necessary to consider the frequency safety constraint in day-ahead generation scheduling. According to the frequency safety requirements of a power system, a frequency safety constraint construction method considering the frequency nadir is proposed. Wind power integrated inertial control is introduced to enable wind turbines to participate in primary frequency modulation. Based on this, a unit commitment model considering a frequency safety constraint and wind power integrated inertial control is established. Then, the M language is used to dynamically control the frequency response model of multi-machines for Simulink. This is also embedded in the improved particle swarm optimization algorithm for the model solution. The results of the IEEE39-bus system with wind power show that the proposed model and method can effectively improve frequency response capability and ensure the safe operation of the power system. This work is supported by the Youth Fund of National Natural Science Foundation of China (No. 51807116).