The design optimization of wind turbines and their subsystems will make them more attractive and competitive as an
ideal alternative for energy. This paper proposed a design procedure for one of these subsystems, which is the Wind-
Turbine Drive-Train (WTDT). The design of the WTDT is based on the load assumptions and can be considered as the
most important parameter for increasing the eciency of energy generation. In industry, these loads are supplemented by
expert assumptions and are extrapolated by static manipulations to calculate the local load in the design of transmission
elements, e.g. gears, bearings, and shafts. In contrary, in this work, the multibody system approach is used to estimate
the static as well as dynamic loads based on the Lagrange multipliers. Lagrange multipliers are numerical parameters
associated with the holonomic and non-holonomic constraints assigned in the drive-train model. The proposed scheme
includes, computational manipulations of kinematic constraints, mapping the generalized forces into Cartesian respective,
and enactment of velocity-based constrains. Based on the dynamic model and the obtained forces, the design process
of a planetary stage of WTDT is implemented with trade-o's optimization in terms of gearing parameters. A wind
turbine of 1.4 Megawatts nominal power is introduced as an evaluation study of the proposed procedure, in which, the
main advantage is the systematic nature of designing complex systems in motion.