Time-Varying Robustness Margins for Wind Turbines

Sanjana Vijayshankar; Peter J Seiler Jr

doi:10.23919/ACC.2018.8431440

Time-Varying Robustness Margins for Wind Turbines

Sanjana Vijayshankar, Peter J Seiler Jr

Aerospace Engineering and Mechanics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

This paper focuses on robustness analysis for wind turbine control systems. The dynamics of a wind turbine are nonlinear and time-varying due to several effects including blade rotation, wind shear, tower shadowing, and varying wind conditions. Thus classical gain/phase/delay margins, computed using frequency domain concepts, are insufficient for turbine control systems. The robustness analysis in this paper is instead performed in two steps. First, the turbine dynamics are linearized at either constant wind conditions or along a fixed (hub height) wind speed trajectory. This yields a linear time-varying (LTV) model for the turbine dynamics. Next, disk margins are computed using existing results for finite-horizon LTV systems. These disk margins account for uncertainty at the blade pitch and/or generator torque inputs. This method is applied to assess the margins for a 2.5 MW Clipper Liberty turbine operated by the University of Minnesota. The turbine model and source control law used in the analysis was provided by Clipper. These results provide additional insight into the robustness of the existing turbine control law.

Original language	English (US)
Title of host publication	2018 Annual American Control Conference, ACC 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1503-1508
Number of pages	6
ISBN (Print)	9781538654286
DOIs	https://doi.org/10.23919/ACC.2018.8431440
State	Published - Aug 9 2018
Event	2018 Annual American Control Conference, ACC 2018 - Milwauke, United States Duration: Jun 27 2018 → Jun 29 2018

Publication series

Name	Proceedings of the American Control Conference
Volume	2018-June
ISSN (Print)	0743-1619

Other

Other	2018 Annual American Control Conference, ACC 2018
Country/Territory	United States
City	Milwauke
Period	6/27/18 → 6/29/18

Bibliographical note

Funding Information:
ACKNOWLEDGMENT This work was supported by the National Science Foundation under Grant No. NSF-CMMI-1254129 entitled CAREER: Probabilistic Tools for High Reliability Monitoring and Control of Wind Farms.

Publisher Copyright:
© 2018 AACC.

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10.23919/ACC.2018.8431440

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Time-Varying Robustness Margins for Wind Turbines. / Vijayshankar, Sanjana; Seiler Jr, Peter J.
2018 Annual American Control Conference, ACC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 1503-1508 8431440 (Proceedings of the American Control Conference; Vol. 2018-June).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Vijayshankar, S & Seiler Jr, PJ 2018, Time-Varying Robustness Margins for Wind Turbines. in 2018 Annual American Control Conference, ACC 2018., 8431440, Proceedings of the American Control Conference, vol. 2018-June, Institute of Electrical and Electronics Engineers Inc., pp. 1503-1508, 2018 Annual American Control Conference, ACC 2018, Milwauke, United States, 6/27/18. https://doi.org/10.23919/ACC.2018.8431440

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abstract = "This paper focuses on robustness analysis for wind turbine control systems. The dynamics of a wind turbine are nonlinear and time-varying due to several effects including blade rotation, wind shear, tower shadowing, and varying wind conditions. Thus classical gain/phase/delay margins, computed using frequency domain concepts, are insufficient for turbine control systems. The robustness analysis in this paper is instead performed in two steps. First, the turbine dynamics are linearized at either constant wind conditions or along a fixed (hub height) wind speed trajectory. This yields a linear time-varying (LTV) model for the turbine dynamics. Next, disk margins are computed using existing results for finite-horizon LTV systems. These disk margins account for uncertainty at the blade pitch and/or generator torque inputs. This method is applied to assess the margins for a 2.5 MW Clipper Liberty turbine operated by the University of Minnesota. The turbine model and source control law used in the analysis was provided by Clipper. These results provide additional insight into the robustness of the existing turbine control law.",

author = "Sanjana Vijayshankar and {Seiler Jr}, {Peter J}",

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N2 - This paper focuses on robustness analysis for wind turbine control systems. The dynamics of a wind turbine are nonlinear and time-varying due to several effects including blade rotation, wind shear, tower shadowing, and varying wind conditions. Thus classical gain/phase/delay margins, computed using frequency domain concepts, are insufficient for turbine control systems. The robustness analysis in this paper is instead performed in two steps. First, the turbine dynamics are linearized at either constant wind conditions or along a fixed (hub height) wind speed trajectory. This yields a linear time-varying (LTV) model for the turbine dynamics. Next, disk margins are computed using existing results for finite-horizon LTV systems. These disk margins account for uncertainty at the blade pitch and/or generator torque inputs. This method is applied to assess the margins for a 2.5 MW Clipper Liberty turbine operated by the University of Minnesota. The turbine model and source control law used in the analysis was provided by Clipper. These results provide additional insight into the robustness of the existing turbine control law.

AB - This paper focuses on robustness analysis for wind turbine control systems. The dynamics of a wind turbine are nonlinear and time-varying due to several effects including blade rotation, wind shear, tower shadowing, and varying wind conditions. Thus classical gain/phase/delay margins, computed using frequency domain concepts, are insufficient for turbine control systems. The robustness analysis in this paper is instead performed in two steps. First, the turbine dynamics are linearized at either constant wind conditions or along a fixed (hub height) wind speed trajectory. This yields a linear time-varying (LTV) model for the turbine dynamics. Next, disk margins are computed using existing results for finite-horizon LTV systems. These disk margins account for uncertainty at the blade pitch and/or generator torque inputs. This method is applied to assess the margins for a 2.5 MW Clipper Liberty turbine operated by the University of Minnesota. The turbine model and source control law used in the analysis was provided by Clipper. These results provide additional insight into the robustness of the existing turbine control law.

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Time-Varying Robustness Margins for Wind Turbines

Abstract

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