Abstract: The contradiction between frequency regulation capacity and demand is increasingly apparent in power systems with a high proportion of wind power, resulting in great changes in operating conditions. If the deadband and limiter of primary frequency response (PFR) are not considered in frequency security constraints (FSC), the unit commitment scheme can be difficult to ensure the system frequency stability. Therefore, based on the full response analysis of frequency response model containing wind power, the time domain expression of frequency is derived through classification aggregation and piecewise analysis, and then the FSC considering the deadband and limiter of PFR are constructed; to address the high nonlinearity of the proposed constraints, a two-stage iterative method that converts the nonlinear planning problem into the main-problem and sub-problem is used in unit commitment, then a parallel multi-directional complementary method for optimization cuts is proposed to improve conventional methods to obtain better solutions. Results show that the proposed constraints can estimate the frequency response capability more accurately, and the proposed method can solve problems from more directions, so that the obtained unit commitment scheme can effectively guarantee the frequency stability of power systems with high-proportion wind power by fewer startup units and lower cost.