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

Mahmood Mirzaei; Hans Henrik Niemann; Niels Kjølstad Poulsen

doi:10.1109/CDC.2011.6161124

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

Mahmood Mirzaei, Hans Henrik Niemann, Niels Kjølstad Poulsen

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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 language	English
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC)
Publisher	IEEE
Publication date	2011
Pages	645-650
ISBN (Print)	978-1-61284-800-6
ISBN (Electronic)	978-1-61284-799-3
DOIs	https://doi.org/10.1109/CDC.2011.6161124
Publication status	Published - 2011
Event	50th IEEE Conference on Decision and Control and European Control Conference - Hilton Orlando Bonnet Creek, Orlando, Florida, United States Duration: 12 Dec 2011 → 15 Dec 2011 Conference number: 50 http://control.disp.uniroma2.it/cdcecc2011/

Conference

Conference	50th IEEE Conference on Decision and Control and European Control Conference
Number	50
Location	Hilton Orlando Bonnet Creek
Country/Territory	United States
City	Orlando, Florida
Period	12/12/2011 → 15/12/2011
Sponsor	Society for Industrial and Applied Mathematics
Internet address	http://control.disp.uniroma2.it/cdcecc2011/

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.

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10.1109/CDC.2011.6161124

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http://control.disp.uniroma2.it/cdcecc2011/

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@inproceedings{52863f32ab30441f95fe476c43d45870,

title = "A μ-Synthesis Approach to Robust Control of a Wind Turbine",

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.",

author = "Mahmood Mirzaei and Niemann, {Hans Henrik} and Poulsen, {Niels Kj{\o}lstad}",

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.; 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC ; Conference date: 12-12-2011 Through 15-12-2011",

year = "2011",

doi = "10.1109/CDC.2011.6161124",

language = "English",

isbn = "978-1-61284-800-6 ",

pages = "645--650",

booktitle = "2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC)",

publisher = "IEEE",

address = "United States",

url = "http://control.disp.uniroma2.it/cdcecc2011/",

}

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

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T1 - A μ-Synthesis Approach to Robust Control of a Wind Turbine

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AU - Poulsen, Niels Kjølstad

N1 - Conference code: 50

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.

U2 - 10.1109/CDC.2011.6161124

DO - 10.1109/CDC.2011.6161124

M3 - Article in proceedings

SN - 978-1-61284-800-6

SP - 645

EP - 650

BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC)

PB - IEEE

T2 - 50th IEEE Conference on Decision and Control and European Control Conference

Y2 - 12 December 2011 through 15 December 2011

ER -

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

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