Dynamic analysis of three-dimensional drivetrain system of wind turbine

In our previous study, a torsional model was used to perform a dynamic analysis of a wind turbine drivetrain. However, detailed characteristics could not be obtained with this torsional model. In this paper, the mathematical model of the wind turbine drivetrain is extended to a three-dimensional dynamic model. A typical arrangement with one low-speed planetary gear stage and two highspeed spur gear stages is used in this work. The governing equation of the drivetrain is derived by using Lagrange’s equation. Lagrange’s equation takes into account the kinetic energy of each component and potential energies from the shaft, bearing, and gear mesh. The governing equation is solved numerically using direct numerical integration. A dynamic analysis is carried out to investigate the transient response of the drivetrain system.