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Title: Disturbance accommodating control design for wind turbines using solvability conditions

Abstract

In this study, solvability conditions for disturbance accommodating control (DAC) have been discussed and applied on wind turbine controller design in above-rated wind speed to regulate rotor speed and to mitigate turbine structural loads. DAC incorporates a predetermined waveform model and uses it as part of the state-space formulation, which is known as the internal model principle to reduce or minimize the wind disturbance effects on the outputs of the wind turbine. An asymptotically stabilizing DAC controller with disturbance impact on the wind turbine being totally canceled out can be found if certain conditions are fulfilled. Designing a rotor speed regulation controller without steady-state error is important for applying linear control methodology such as DAC on wind turbines. Therefore, solvability conditions of DAC without steady-state error are attractive and can be taken as examples when designing a multitask turbine controller. DAC controllers solved via Moore-Penrose Pseudoinverse and the Kronecker product are discussed, and solvability conditions of using them are given. Additionally, a new solvability condition based on inverting the feed-through D term is proposed for the sake of reducing computational burden in the Kronecker product. Applications of designing collective pitch and independent pitch controllers based on DAC are presented. Recommendationsmore » of designing a DAC-based wind turbine controller are given. A DAC controller motivated by the proposed solvability condition that utilizes the inverse of feed-through D term is developed to mitigate the blade flapwise once-per-revolution bending moment together with a standard proportional integral controller in the control loop to assist rotor speed regulation. Simulation studies verify the discussed solvability conditions of DAC and show the effectiveness of the proposed DAC control design methodology.« less

Authors:
 [1];  [1];  [2]
+ Show Author Affiliations
  1. National Renewable Energy Lab. (NREL), Golden, CO (United States)
  2. Emby-Riddle Aeronautical Univ., Daytona Beach, FL (United States)
Publication Date:
Research Org.:
National Renewable Energy Laboratory (NREL), Golden, CO (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Wind and Water Technologies Office (EE-4W)
OSTI Identifier:
1344168
Report Number(s):
NREL/JA-5000-65922
Journal ID: ISSN 0022-0434
Grant/Contract Number:  
AC36-08GO28308
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Dynamic Systems, Measurement, and Control
Additional Journal Information:
Journal Volume: 139; Journal Issue: 4; Journal ID: ISSN 0022-0434
Publisher:
ASME
Country of Publication:
United States
Language:
English
Subject:
17 WIND ENERGY; wind turbine; disturbance accommodating control; rotor speed regulation; blade load mitigation; design; rotors; turbines; blades; control equipment; wind velocity

Citation Formats

Wang, Na, Wright, Alan D., and Balas, Mark J. Disturbance accommodating control design for wind turbines using solvability conditions. United States: N. p., 2017. Web. doi:10.1115/1.4035097.
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Wang, Na, Wright, Alan D., & Balas, Mark J. Disturbance accommodating control design for wind turbines using solvability conditions. United States. https://doi.org/10.1115/1.4035097
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Wang, Na, Wright, Alan D., and Balas, Mark J. Tue . "Disturbance accommodating control design for wind turbines using solvability conditions". United States. https://doi.org/10.1115/1.4035097. https://www.osti.gov/servlets/purl/1344168.
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@article{osti_1344168,
title = {Disturbance accommodating control design for wind turbines using solvability conditions},
author = {Wang, Na and Wright, Alan D. and Balas, Mark J.},
abstractNote = {In this study, solvability conditions for disturbance accommodating control (DAC) have been discussed and applied on wind turbine controller design in above-rated wind speed to regulate rotor speed and to mitigate turbine structural loads. DAC incorporates a predetermined waveform model and uses it as part of the state-space formulation, which is known as the internal model principle to reduce or minimize the wind disturbance effects on the outputs of the wind turbine. An asymptotically stabilizing DAC controller with disturbance impact on the wind turbine being totally canceled out can be found if certain conditions are fulfilled. Designing a rotor speed regulation controller without steady-state error is important for applying linear control methodology such as DAC on wind turbines. Therefore, solvability conditions of DAC without steady-state error are attractive and can be taken as examples when designing a multitask turbine controller. DAC controllers solved via Moore-Penrose Pseudoinverse and the Kronecker product are discussed, and solvability conditions of using them are given. Additionally, a new solvability condition based on inverting the feed-through D term is proposed for the sake of reducing computational burden in the Kronecker product. Applications of designing collective pitch and independent pitch controllers based on DAC are presented. Recommendations of designing a DAC-based wind turbine controller are given. A DAC controller motivated by the proposed solvability condition that utilizes the inverse of feed-through D term is developed to mitigate the blade flapwise once-per-revolution bending moment together with a standard proportional integral controller in the control loop to assist rotor speed regulation. Simulation studies verify the discussed solvability conditions of DAC and show the effectiveness of the proposed DAC control design methodology.},
doi = {10.1115/1.4035097},
journal = {Journal of Dynamic Systems, Measurement, and Control},
number = 4,
volume = 139,
place = {United States},
year = {Tue Feb 07 00:00:00 EST 2017},
month = {Tue Feb 07 00:00:00 EST 2017}
}
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https://doi.org/10.1115/1.4035097
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Works referenced in this record:

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    Works referencing / citing this record:

    Structural load mitigation control for wind turbines: A new performance measure
    journal, April 2020

    • Do, M. Hung; Njiri, Jackson G.; Söffker, Dirk
    • Wind Energy, Vol. 23, Issue 4
    • DOI: 10.1002/we.2475
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