Energies 2010, 3(4), 696-710; doi:10.3390/en3040696
Article

Mass and Aerodynamic Imbalance Estimates of Wind Turbines

1 Johann Radon Institute, Austrian Academy of Science, Altenbergerstr. 69, 4040 Linz, Austria 2 Institute for Industrial Mathematics, Johannes Kepler University, Altenbergerstr. 69, 4040 Linz, Austria 3 Institute for Applied Geometry, Johannes Kepler University, Altenbergerstr. 69, 4040 Linz, Austria
* Author to whom correspondence should be addressed.
Received: 18 January 2010; in revised form: 1 March 2010 / Accepted: 15 March 2010 / Published: 8 April 2010
(This article belongs to the Special Issue Wind Energy)
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Abstract: Due to its effect on the operation time of wind turbines, rotor imbalances of a wind turbine have to be detected early enough. We present a method that determines inhomogeneous mass distributions of the rotor as well as deviations in the pitch angles of the rotor blades from vibrational data only. To this end, a mathematical model connecting the load caused by the imbalances to the resulting vibrations was developed. After discretization, the resulting vibration equation was solved analytically. The inverse problem, i.e., the calculation of the mass and aerodynamic imbalance from vibrational data, was solved by using nonlinear regularization theory. Numerical simulations were performed using artificial vibration data.
Keywords: wind turbine; mass imbalance; aerodynamic imbalance; inverse problem

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MDPI and ACS Style

Niebsch, J.; Ramlau, R.; Nguyen, T.T. Mass and Aerodynamic Imbalance Estimates of Wind Turbines. Energies 2010, 3, 696-710.

AMA Style

Niebsch J, Ramlau R, Nguyen TT. Mass and Aerodynamic Imbalance Estimates of Wind Turbines. Energies. 2010; 3(4):696-710.

Chicago/Turabian Style

Niebsch, Jenny; Ramlau, Ronny; Nguyen, Thien T. 2010. "Mass and Aerodynamic Imbalance Estimates of Wind Turbines." Energies 3, no. 4: 696-710.

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