Simulation analysis of transmission chain dynamic response of wind turbine

Establishment of transmission chain system dynamics equation: the pure torsion elastic dynamic model of wind turbine transmission chain system is established by using the Dalembert principle. In the process of establishing the dynamic equations, the time-varying wind torque obtained by the wind wheel is taken as the external load. The average wind speed is 11 m/s, the standard deviation of wind speed is 2.31, the Weibull distribution scale parameter C is the tie value of the annual average of the three wind towers is 8.179, and the average value of the annual average of the shape parameter of the three wind towers K is 2.938. Dynamic response of transmission chain system: using MATLAB through Runge-Kutta method, programming the system dynamic response, get the wind turbine transmission system in the external excitation and internal excitation of the transmission system, such as disc parts vibration displacement, vibration speed, gear between dynamic engagement force, and the inherent mode of the whole system. Modal analysis of the transmission chain reveals three key natural frequencies: 18.6 Hz (dominant mode from low-speed shaft), 36.4 Hz (from first-stage planetary gears), and 57.8 Hz (from high-speed parallel gear). These frequencies are significantly higher than the turbine's operational frequency range (0.3–5 Hz, corresponding to rotor speed 19 r/min and generator speed 1800 r/min), confirming no torsional resonance risk during normal operation.