Simultaneous estimation of mass and aerodynamic rotor imbalances for wind turbines.

*(English)*Zbl 1426.76292Summary: The safe operation of wind turbines requires a well-balanced rotor. The balancing of the rotor requires a method to determine its imbalances. We propose an algorithm for the reconstruction of two types of imbalances, i.e., mass and aerodynamic imbalances from pitch angle deviation. The algorithm is based on the inversion of the (nonlinear) operator equation that links the imbalance distribution of the rotor to its vibrations during operation of the wind turbine. The algorithm requires a simple finite element model of the wind turbine as well as the minimization of a Tikhonov functional with a nonlinear operator. We propose the use of a gradient-based minimization routine. The approach is validated for artificial vibration data from a model of a Nordwind NTK 500 wind turbine.

##### MSC:

76M10 | Finite element methods applied to problems in fluid mechanics |

76U05 | General theory of rotating fluids |

65M32 | Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs |

##### Software:

TIGRA
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\textit{J. Niebsch} and \textit{R. Ramlau}, J. Math. Ind. 4, Paper No. 12, 19 p. (2014; Zbl 1426.76292)

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##### References:

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