Abstract
Load-sharing behavior is very important for power-split gearing systems. Taking the multistage planetary gear train transmission of an Million Watt (MW) wind generator as the investigation object, and based on the gear transmission system of a wind generator in a complex and changing load environment, a random wind model of a wind farm is built by using the two-parameter Weibull distribution. According to the realistic working region of the wind generator, the random wind speed is changed into time-varying input speed of the wind generator gear box. Considering the internal excitation, such as mesh stiffness, mesh damping of gear pairs and the meshing error, a dynamic model for a multistage planetary gear transmission system is built by using the lumped parameter method. The load-sharing coefficients are obtained for each planet gear pair in the same meshing period of the transmission system that is under the interaction of time-varying input speed and internal excitation. It is shown that the degree of load-sharing coefficient fluctuation for each planet gear pair of the first- and second-stage planetary gear train is significantly affected by time-varying input speed. The research results can lay a theoretical foundation for optimization and reliability of planetary gear transmission systems of wind generators.
Highlights
The planetary gear transmission has advantages of a large transmitting ratio, compact structure and strong load-bearing capacity, and has been widely applied in wind turbine gearboxes
The wind turbine gearbox is usually installed at the wind gap of mountains, islands, etc., and it is subjected to an irregular wind force year-round
Wang et al [9,10] focused on the multistage planetary gear transmission system, established a dynamic model based on lumped parameter theory and analyzed the influence of revolution speed and mesh error on the dynamic load-sharing characteristics of the gear sets
Summary
The planetary gear transmission has advantages of a large transmitting ratio, compact structure and strong load-bearing capacity, and has been widely applied in wind turbine gearboxes. Wu et al [8] established a non-linear dynamics model of compound planetary gear sets based on the lumped parameter theory and analyzed the influence of position and eccentric errors on load-sharing characteristics of the gear sets. Wang et al [9,10] focused on the multistage planetary gear transmission system, established a dynamic model based on lumped parameter theory and analyzed the influence of revolution speed and mesh error on the dynamic load-sharing characteristics of the gear sets. Zhu et al [11] established a dynamic model of the planetary gear train system by considering time-varying mesh stiffness, revolution damping and component gravity and studied the impact of support stiffness on the dynamic load-sharing characteristics of the transmission system. By using a numerical method, the dynamic load-sharing coefficients of each gear pair in the same meshing period of the planetary gear transmission system are analyzed under the interaction of time-varying input speed and internal excitation
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