## Abstract

A mathematical time domain model for simulation of the dynamic response of a horizontal axis wind turbine is presented. The model concentrates on the correct representation of the inertial loads in the equations of motion. A general kinematic analysis is the basis for the derivation of the local inertia loads. Nonlinear kinematic terms are retained in the expressions for these loads. The wind turbine structure is divided into three substructures comprising the tower, the nacelle-shaft and the rotor, each with reference to a local coordinate system. General element inertia matrices and vectors are derived through consistent transformation of the inertia loads to the nodes. Final assembley of the substructure equations of motion is carried through by imposing force equilibrium at the coupling nodes. Sub-structuring permits easy updating corresponding to rigid body rotations of the substructures and extends the limitations of the allowable displacements. The loading on the wind turbine structure includes both the gravity and aerodynamic loads. The model is fully aero-elastic. The free wind vector is composed of a deterministic contribution - including wind shear and tower interference - and a stochastic component obtained by simulation of turbulence. Based on the mathematical model, a computer programme has been developed.
More>>

## Citation Formats

Thirstrup Petersen, J.
Kinematically nonlinear finite element model of a horizontal axis wind turbine. Part 1. Mathematical model and results.
Denmark: N. p.,
1990.
Web.

Thirstrup Petersen, J.
Kinematically nonlinear finite element model of a horizontal axis wind turbine. Part 1. Mathematical model and results.
Denmark.

Thirstrup Petersen, J.
1990.
"Kinematically nonlinear finite element model of a horizontal axis wind turbine. Part 1. Mathematical model and results."
Denmark.

@misc{etde_10110609,

title = {Kinematically nonlinear finite element model of a horizontal axis wind turbine. Part 1. Mathematical model and results}

author = {Thirstrup Petersen, J}

abstractNote = {A mathematical time domain model for simulation of the dynamic response of a horizontal axis wind turbine is presented. The model concentrates on the correct representation of the inertial loads in the equations of motion. A general kinematic analysis is the basis for the derivation of the local inertia loads. Nonlinear kinematic terms are retained in the expressions for these loads. The wind turbine structure is divided into three substructures comprising the tower, the nacelle-shaft and the rotor, each with reference to a local coordinate system. General element inertia matrices and vectors are derived through consistent transformation of the inertia loads to the nodes. Final assembley of the substructure equations of motion is carried through by imposing force equilibrium at the coupling nodes. Sub-structuring permits easy updating corresponding to rigid body rotations of the substructures and extends the limitations of the allowable displacements. The loading on the wind turbine structure includes both the gravity and aerodynamic loads. The model is fully aero-elastic. The free wind vector is composed of a deterministic contribution - including wind shear and tower interference - and a stochastic component obtained by simulation of turbulence. Based on the mathematical model, a computer programme has been developed. Results from simulation of the response on a typical Danish three-bladed, stall regulated wind turbine are presented and compared with measurements. (au) (47 refs.).}

place = {Denmark}

year = {1990}

month = {Jul}

}

title = {Kinematically nonlinear finite element model of a horizontal axis wind turbine. Part 1. Mathematical model and results}

author = {Thirstrup Petersen, J}

abstractNote = {A mathematical time domain model for simulation of the dynamic response of a horizontal axis wind turbine is presented. The model concentrates on the correct representation of the inertial loads in the equations of motion. A general kinematic analysis is the basis for the derivation of the local inertia loads. Nonlinear kinematic terms are retained in the expressions for these loads. The wind turbine structure is divided into three substructures comprising the tower, the nacelle-shaft and the rotor, each with reference to a local coordinate system. General element inertia matrices and vectors are derived through consistent transformation of the inertia loads to the nodes. Final assembley of the substructure equations of motion is carried through by imposing force equilibrium at the coupling nodes. Sub-structuring permits easy updating corresponding to rigid body rotations of the substructures and extends the limitations of the allowable displacements. The loading on the wind turbine structure includes both the gravity and aerodynamic loads. The model is fully aero-elastic. The free wind vector is composed of a deterministic contribution - including wind shear and tower interference - and a stochastic component obtained by simulation of turbulence. Based on the mathematical model, a computer programme has been developed. Results from simulation of the response on a typical Danish three-bladed, stall regulated wind turbine are presented and compared with measurements. (au) (47 refs.).}

place = {Denmark}

year = {1990}

month = {Jul}

}