Abstract
This paper proposes an improved rigid multibody model for the dynamic analysis of the planetary gearbox in a wind turbine. The improvements mainly include choosing the inertia frame as the reference frame of the carrier, the ring, and the sun and adding a new degree of freedom for each planet. An element assembly method is introduced to build the model, and a time-varying mesh stiffness model is presented. A planetary gear study case is employed to verify the validity of the improved model. Comparisons between the improvement model and the traditional model show that the natural characteristics are very close; the improved model can obtain the right equivalent moment of inertia of the planetary gear in the transient simulation, and all the rotation speeds satisfy the transmission relationships well; harmonic resonance and resonance modulation phenomena can be found in their vibration signals. The improved model is applied in a multistage gearbox dynamics analysis to reveal the prospects of the model. Modal analysis and transient analysis with and without time-varying mesh stiffness considered are conducted. The rotation speeds from the transient analysis are consistent with the theory, and resonance modulation can be found in the vibration signals.
Highlights
The planetary gearboxes are widely used in automotive and aeronautical applications because of their advantages, such as high power density and compactness
Dynamic models can be categorized into rigid multibody models, flexible multibody models, and rigid-flexible coupled models according to their handling methods of body flexibility
Compared with the traditional model, the improved model for the planetary gear stage can be regarded as a super element, directly assembled with other dynamic models to build the gearbox model or coupled with the rotor and generator to build a wind turbine drive train model
Summary
The planetary gearboxes are widely used in automotive and aeronautical applications because of their advantages, such as high power density and compactness. (2) The models for the planetary gears cannot be directly assembled into a gearbox model because each planetary gear stage has its own reference rotating frame These drawbacks make the traditional rigid multibody model hard to use in wind turbine gearbox dynamics research. Comparisons between the improved rigid multibody model and the traditional model will be conducted by a planetary gear study case to verify the validity of the improved model, with a modal analysis, sensitivity analysis of the natural frequencies, and transient analysis with the time-varying mesh stiffness considered. To reveal the prospects of the improved model in wind turbine gearbox dynamics analysis, it will be applied for the dynamic analysis of a gearbox that consists of two planetary gear stages and one helical parallel gear stage, including modal analysis and transient analysis both with and without the time-varying mesh stiffness considered
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