The load frequency control problem of power system under wind power grid connection is studied. Aiming at the intermittent problem of wind power, an automatic generation control strategy based on aperiodic intermittent control is proposed. The aim is to ensure frequency stability and save control resources. Firstly, an automatic generation control system with wind power as a schedulable energy source and considering uncertain parameters is established. The secondary frequency modulation of the power system is carried out by the automatic generation control system, so as to maintain the balance between power generation and load power. Then, the aperiodic intermittent control is introduced into the automatic generation control, and the automatic generation control strategy based on time-triggered and event-triggered aperiodic intermittent control is proposed. At the same time, the input-to-state stability of the automatic generation control system based on aperiodic intermittent control is proved by the Lyapunov-like function. Finally, the simulation results of the automatic generation control system with wind power, thermal power and hydropower generation units show that the automatic generation control strategy based on aperiodic intermittent control can maintain the frequency stability of the power system under wind power grid connection, and can effectively reduce the control cost and control rate.