Down-scaled modeling of wind turbine gearbox transmission system considering dynamic response similitude and identical structure strength
摘要
As the generation power of wind turbine gearbox transmission system (WTGTS) develops toward 10 + MW, its full-size test becomes more difficult. Designing a reduced-scale WTGTS to predict dynamic characteristics of the large-size prototype is a potentially feasible approach. However, the existing down-scaled modeling method of WTGTS lacks attention to transient response similitude and identical structure strength. In this work, a down-scaled modeling method of WTGTS is proposed considering dynamic response similitude and identical structure strength. A variable-speed dynamic model of a 5 MW WTGTS is established by the centralized method and Lagrange’s equation, which ignored the common defects inherent in real-world devices and electromechanical coupling, and then dynamics similitude laws of WTGTS are deduced based on the dimensional analysis. On this basis, a multi-objective optimization equation is established to calculate the optimal solution of the scaling factor considering multi-constraints of dynamics similitude laws and identical gear contact and bending strength. Finally, the reduced-scale effectiveness is evaluated from the perspectives of structural strength, natural characteristics, and dynamic response. The calculated results indicate that the proposed down-scaled modeling method can not only make gear structure strength of reduced-scale WTGTS consistent with that of the prototype but also well predict natural frequency, modal shape, and steady and transient dynamic responses.