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Energies 2012, 5(7), 2424-2448; doi:10.3390/en5072424

Fault Detection of Wind Turbines with Uncertain Parameters: A Set-Membership Approach

1,* , 2
1 Automation & Control, Department of Electronic Systems, Aalborg University, Aalborg DK-9220, Denmark 2 kk-electronic a/s, lkast 7430, Denmark
* Author to whom correspondence should be addressed.
Received: 27 April 2012 / Revised: 11 June 2012 / Accepted: 6 July 2012 / Published: 13 July 2012
(This article belongs to the Special Issue Wind Turbines)
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In this paper a set-membership approach for fault detection of a benchmark wind turbine is proposed. The benchmark represents relevant fault scenarios in the control system, including sensor, actuator and system faults. In addition we also consider parameter uncertainties and uncertainties on the torque coefficient. High noise on the wind speed measurement, nonlinearities in the aerodynamic torque and uncertainties on the parameters make fault detection a challenging problem. We use an effective wind speed estimator to reduce the noise on the wind speed measurements. A set-membership approach is used generate a set that contains all states consistent with the past measurements and the given model of the wind turbine including uncertainties and noise. This set represents all possible states the system can be in if not faulty. If the current measurement is not consistent with this set, a fault is detected. For representation of these sets we use zonotopes and for modeling of uncertainties we use matrix zonotopes, which yields a computationally efficient algorithm. The method is applied to the wind turbine benchmark problem without and with uncertainties. The result demonstrates the effectiveness of the proposed method compared to other proposed methods applied to the same problem. An advantage of the proposed method is that there is no need for threshold design, and it does not produce positive false alarms. In the case where uncertainty on the torque lookup table is introduced, some faults are not detectable. Previous research has not addressed this uncertainty. The method proposed here requires equal or less detection time than previous results.
Keywords: fault detection; wind turbines; set-membership; zonotopes fault detection; wind turbines; set-membership; zonotopes
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Tabatabaeipour, S.M.; Odgaard, P.F.; Bak, T.; Stoustrup, J. Fault Detection of Wind Turbines with Uncertain Parameters: A Set-Membership Approach. Energies 2012, 5, 2424-2448.

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