A μ-Synthesis Approach to Robust Control of a Wind Turbine

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Abstract

The problem of robust control of a wind turbine is considered in this paper. A set of controllers are designed based on a 2 degrees of freedom linearized model of a wind turbine. An extended Kalman filter is used to estimate effective wind speed and the estimated wind speed is used to find the operating point of the wind turbine. Due to imprecise wind speed estimation, uncertainty in the obtained linear model is considered. Uncertainties in the drivetrain stiffness and damping parameters are also considered as these values are lumped parameters of a distributed system and therefore they include inherent uncertainties. We include these uncertainties as parametric uncertainties in the model and design robust controllers using the DK-iteration method. Based on estimated wind speed a pair of controllers are chosen and convex combination of their outputs is applied to the plant. The resulting set of controllers is applied on a full complexity simulation model and simulations are performed for stochastic wind speed according to relevant IEC standard.
Original languageEnglish
Title of host publication2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC)
PublisherIEEE
Publication date2011
Pages645-650
ISBN (Print)978-1-61284-800-6
ISBN (Electronic)978-1-61284-799-3
DOIs
Publication statusPublished - 2011
Event50th IEEE Conference on Decision and Control and European Control Conference - Hilton Orlando Bonnet Creek, Orlando, Florida, United States
Duration: 12 Dec 201115 Dec 2011
Conference number: 50
http://control.disp.uniroma2.it/cdcecc2011/

Conference

Conference50th IEEE Conference on Decision and Control and European Control Conference
Number50
LocationHilton Orlando Bonnet Creek
CountryUnited States
CityOrlando, Florida
Period12/12/201115/12/2011
SponsorSociety for Industrial and Applied Mathematics
Internet address

Bibliographical note

Copyright 2011 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

Cite this

Mirzaei, M., Niemann, H. H., & Poulsen, N. K. (2011). A μ-Synthesis Approach to Robust Control of a Wind Turbine. In 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC) (pp. 645-650). IEEE. https://doi.org/10.1109/CDC.2011.6161124
Mirzaei, Mahmood ; Niemann, Hans Henrik ; Poulsen, Niels Kjølstad. / A μ-Synthesis Approach to Robust Control of a Wind Turbine. 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC). IEEE, 2011. pp. 645-650
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abstract = "The problem of robust control of a wind turbine is considered in this paper. A set of controllers are designed based on a 2 degrees of freedom linearized model of a wind turbine. An extended Kalman filter is used to estimate effective wind speed and the estimated wind speed is used to find the operating point of the wind turbine. Due to imprecise wind speed estimation, uncertainty in the obtained linear model is considered. Uncertainties in the drivetrain stiffness and damping parameters are also considered as these values are lumped parameters of a distributed system and therefore they include inherent uncertainties. We include these uncertainties as parametric uncertainties in the model and design robust controllers using the DK-iteration method. Based on estimated wind speed a pair of controllers are chosen and convex combination of their outputs is applied to the plant. The resulting set of controllers is applied on a full complexity simulation model and simulations are performed for stochastic wind speed according to relevant IEC standard.",
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Mirzaei, M, Niemann, HH & Poulsen, NK 2011, A μ-Synthesis Approach to Robust Control of a Wind Turbine. in 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC). IEEE, pp. 645-650, 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, Florida, United States, 12/12/2011. https://doi.org/10.1109/CDC.2011.6161124

A μ-Synthesis Approach to Robust Control of a Wind Turbine. / Mirzaei, Mahmood; Niemann, Hans Henrik; Poulsen, Niels Kjølstad.

2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC). IEEE, 2011. p. 645-650.

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

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N1 - Copyright 2011 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

PY - 2011

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N2 - The problem of robust control of a wind turbine is considered in this paper. A set of controllers are designed based on a 2 degrees of freedom linearized model of a wind turbine. An extended Kalman filter is used to estimate effective wind speed and the estimated wind speed is used to find the operating point of the wind turbine. Due to imprecise wind speed estimation, uncertainty in the obtained linear model is considered. Uncertainties in the drivetrain stiffness and damping parameters are also considered as these values are lumped parameters of a distributed system and therefore they include inherent uncertainties. We include these uncertainties as parametric uncertainties in the model and design robust controllers using the DK-iteration method. Based on estimated wind speed a pair of controllers are chosen and convex combination of their outputs is applied to the plant. The resulting set of controllers is applied on a full complexity simulation model and simulations are performed for stochastic wind speed according to relevant IEC standard.

AB - The problem of robust control of a wind turbine is considered in this paper. A set of controllers are designed based on a 2 degrees of freedom linearized model of a wind turbine. An extended Kalman filter is used to estimate effective wind speed and the estimated wind speed is used to find the operating point of the wind turbine. Due to imprecise wind speed estimation, uncertainty in the obtained linear model is considered. Uncertainties in the drivetrain stiffness and damping parameters are also considered as these values are lumped parameters of a distributed system and therefore they include inherent uncertainties. We include these uncertainties as parametric uncertainties in the model and design robust controllers using the DK-iteration method. Based on estimated wind speed a pair of controllers are chosen and convex combination of their outputs is applied to the plant. The resulting set of controllers is applied on a full complexity simulation model and simulations are performed for stochastic wind speed according to relevant IEC standard.

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Mirzaei M, Niemann HH, Poulsen NK. A μ-Synthesis Approach to Robust Control of a Wind Turbine. In 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC). IEEE. 2011. p. 645-650 https://doi.org/10.1109/CDC.2011.6161124