LAPSE:2023.7038v1
Published Article

LAPSE:2023.7038v1
Modelling the Wind Turbine by Using the Tip-Speed Ratio for Estimation and Control
February 24, 2023
Abstract
The development of dynamic models for control purposes is characterised by the challenge of finding a compromise between the minimum necessary information about the system dynamics contained in the model and a model with a low level of complexity such that the model-based control system design becomes comfortable. To achieve this balance, a modified dynamic model for the drivetrain of a wind turbine is proposed in this contribution. The main idea is to introduce the tip-speed ratio as a state variable so that an interval observer can be designed in such a way that its estimates can be used in the torque control during the partial load operation as well as for the estimation of the effective wind speed. During the runtime, the observer’s matrix gain is recalculated to adapt the behaviour to the current operational state, which changes all the time with the wind speed. Besides the theoretical formulation, a numerical example of a 20 MW reference wind turbine illustrates the utility of the method. The results show good control performance concerning the tip-speed ratio control loop and a satisfactory estimation of the effective wind speed.
The development of dynamic models for control purposes is characterised by the challenge of finding a compromise between the minimum necessary information about the system dynamics contained in the model and a model with a low level of complexity such that the model-based control system design becomes comfortable. To achieve this balance, a modified dynamic model for the drivetrain of a wind turbine is proposed in this contribution. The main idea is to introduce the tip-speed ratio as a state variable so that an interval observer can be designed in such a way that its estimates can be used in the torque control during the partial load operation as well as for the estimation of the effective wind speed. During the runtime, the observer’s matrix gain is recalculated to adapt the behaviour to the current operational state, which changes all the time with the wind speed. Besides the theoretical formulation, a numerical example of a 20 MW reference wind turbine illustrates the utility of the method. The results show good control performance concerning the tip-speed ratio control loop and a satisfactory estimation of the effective wind speed.
Record ID
Keywords
20 MW reference wind turbine, Dynamic Modelling, interval observer, state-space estimation, tip-speed ratio, wind turbine control
Subject
Suggested Citation
Gambier A, Nazaruddin YY. Modelling the Wind Turbine by Using the Tip-Speed Ratio for Estimation and Control. (2023). LAPSE:2023.7038v1
Author Affiliations
Gambier A: Fraunhofer Institute for Wind Energy Systems IWES, Am Seedeich 45, 27572 Bremerhaven, Germany [ORCID]
Nazaruddin YY: Instrumentation and Control Research Group, Institut Teknologi Bandung, Bandung 40132, Indonesia
Nazaruddin YY: Instrumentation and Control Research Group, Institut Teknologi Bandung, Bandung 40132, Indonesia
Journal Name
Energies
Volume
15
Issue
24
First Page
9454
Year
2022
Publication Date
2022-12-13
ISSN
1996-1073
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Original Submission
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PII: en15249454, Publication Type: Journal Article
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LAPSE:2023.7038v1
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https://doi.org/10.3390/en15249454
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Feb 24, 2023
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