Optimal Power Planning of Wind Turbines in a Wind Farm

Puneet Vishwakarma; Yunjun Xu; Kuo-Chi Lin

doi:doi:10.11648/j.epes.20170602.11

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Optimal Power Planning of Wind Turbines in a Wind Farm

Puneet Vishwakarma, Yunjun Xu, Kuo-Chi Lin

Published in American Journal of Electrical Power and Energy Systems (Volume 6, Issue 2)

Received: 5 December 2016 Accepted: 21 March 2017 Published: 14 April 2017

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Abstract

Wind energy is attractive in the presence of climate concerns and has the potential to dramatically reduce the dependency on nonrenewable energy resources. With the increase in wind farms there is a need to improve the efficiency in power allocation and power generation among wind turbines. In this paper, a hierarchical algorithm including a cooperative level and an individual level is developed for power coordination and planning in a wind farm. In the cooperative level, a constrained quadratic programming problem is formulated and solved to allocate the power to wind turbines considering the aerodynamic effects of wake interaction and the power generation capabilities of wind turbines. In the individual level, a method based on the local pursuit strategy is studied to connect the cooperative level power allocation and the individual level power generation using a virtual leader-follower scheme. The stability of individual wind turbine power generation is analyzed. Simulations are used to show the advantages of the method.

Published in	American Journal of Electrical Power and Energy Systems (Volume 6, Issue 2)
DOI	10.11648/j.epes.20170602.11
Page(s)	7-15
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Wind Turbine, Coordinated Control, Wind Farm

References

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[5]	J. Park, S. Kwon, and K. H. Law, “Wind farm power maximization based on a cooperative static game approach,” in Proc. SPIE Smart Structures/NDE Conf., vol. 8686, pp. 1-15, Mar. 2013.
[6]	“Sandia Labs news releases, SWiFT commissioned to study wind farm optimization,” https://share.sandia.gov/news/resources/ news_releases/swift-wind-farm-optimization/#. UzebrfldWSp.
[7]	Z. Wang, C. Cai, and K. Jia, “Neural Network adaptive control for constant output power of variable pitch wind turbine,” in IEEE Int. Conf. on Vehicular Electronics and Safety, IEEE, Dongguan, China, pp. 165-170, July 2013.
[8]	G. Semrau, S. Rimkus, and T. Das, “Nonlinear systems analysis and control of variable speed wind turbines for multiregime operation,” ASME Journal of Dynamic Systems, Measurement, and Control, 2015, vol. 137, no. 4, pp. 041007-1 – 041007-10.
[9]	V. Spudic, M. Baotic, and N. Peric, “Wind farm load reduction via parametric programming based controller design,” in Proc. 18^th IFAC World Congress, Milano, Italy, pp. 1704-1709, Aug. 2011.
[10]	T. Knudsen, T. Bak, and M. Svenstrup, “Survey of wind farm control – power and fatigue optimization,” in Wind Energy 2015, Wiley Online Library, John Wiley & Sons Ltd., pp. 1333-1351, May, 2014.
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[13]	V. Spudic, M. Jelavic, M. Baotic, and N. Peric, “Hierarchical wind farm control for power/load optimization,” in Proc. Conf. Sci. Making Torque from Wind, 2010, pp. 681-692.
[14]	M. Soleimanzadeh, A. J. Brand, and R. Wisniewski, “A wind farm controller for load and power optimization in a farm,” in 2011 IEEE Int. Sym. Computer-Aided Control Systems Design, Denver, CO, pp. 1202-1207, Sep. 2011.
[15]	Y. Xu, C. Remeikas, and K. Pham, “Local pursuit strategy inspired cooperative trajectory planning algorithm for a class of nonlinear constrained dynamical systems,” International Journal of Control, vol. 87, no. 3, 2013, pp. 506-523.
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APA Style

Puneet Vishwakarma, Yunjun Xu, Kuo-Chi Lin. (2017). Optimal Power Planning of Wind Turbines in a Wind Farm. American Journal of Electrical Power and Energy Systems, 6(2), 7-15. https://doi.org/10.11648/j.epes.20170602.11

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ACS Style

Puneet Vishwakarma; Yunjun Xu; Kuo-Chi Lin. Optimal Power Planning of Wind Turbines in a Wind Farm. Am. J. Electr. Power Energy Syst. 2017, 6(2), 7-15. doi: 10.11648/j.epes.20170602.11

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AMA Style

Puneet Vishwakarma, Yunjun Xu, Kuo-Chi Lin. Optimal Power Planning of Wind Turbines in a Wind Farm. Am J Electr Power Energy Syst. 2017;6(2):7-15. doi: 10.11648/j.epes.20170602.11

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@article{10.11648/j.epes.20170602.11,
  author = {Puneet Vishwakarma and Yunjun Xu and Kuo-Chi Lin},
  title = {Optimal Power Planning of Wind Turbines in a Wind Farm},
  journal = {American Journal of Electrical Power and Energy Systems},
  volume = {6},
  number = {2},
  pages = {7-15},
  doi = {10.11648/j.epes.20170602.11},
  url = {https://doi.org/10.11648/j.epes.20170602.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.epes.20170602.11},
  abstract = {Wind energy is attractive in the presence of climate concerns and has the potential to dramatically reduce the dependency on nonrenewable energy resources. With the increase in wind farms there is a need to improve the efficiency in power allocation and power generation among wind turbines. In this paper, a hierarchical algorithm including a cooperative level and an individual level is developed for power coordination and planning in a wind farm. In the cooperative level, a constrained quadratic programming problem is formulated and solved to allocate the power to wind turbines considering the aerodynamic effects of wake interaction and the power generation capabilities of wind turbines. In the individual level, a method based on the local pursuit strategy is studied to connect the cooperative level power allocation and the individual level power generation using a virtual leader-follower scheme. The stability of individual wind turbine power generation is analyzed. Simulations are used to show the advantages of the method.},
 year = {2017}
}

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TY  - JOUR
T1  - Optimal Power Planning of Wind Turbines in a Wind Farm
AU  - Puneet Vishwakarma
AU  - Yunjun Xu
AU  - Kuo-Chi Lin
Y1  - 2017/04/14
PY  - 2017
N1  - https://doi.org/10.11648/j.epes.20170602.11
DO  - 10.11648/j.epes.20170602.11
T2  - American Journal of Electrical Power and Energy Systems
JF  - American Journal of Electrical Power and Energy Systems
JO  - American Journal of Electrical Power and Energy Systems
SP  - 7
EP  - 15
PB  - Science Publishing Group
SN  - 2326-9200
UR  - https://doi.org/10.11648/j.epes.20170602.11
AB  - Wind energy is attractive in the presence of climate concerns and has the potential to dramatically reduce the dependency on nonrenewable energy resources. With the increase in wind farms there is a need to improve the efficiency in power allocation and power generation among wind turbines. In this paper, a hierarchical algorithm including a cooperative level and an individual level is developed for power coordination and planning in a wind farm. In the cooperative level, a constrained quadratic programming problem is formulated and solved to allocate the power to wind turbines considering the aerodynamic effects of wake interaction and the power generation capabilities of wind turbines. In the individual level, a method based on the local pursuit strategy is studied to connect the cooperative level power allocation and the individual level power generation using a virtual leader-follower scheme. The stability of individual wind turbine power generation is analyzed. Simulations are used to show the advantages of the method.
VL  - 6
IS  - 2
ER  -

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Author Information

Puneet Vishwakarma

Mechanical and Aerospace Engineering Department, University of Central Florida, Orlando, USA
Yunjun Xu

Mechanical and Aerospace Engineering Department, University of Central Florida, Orlando, USA
Kuo-Chi Lin

Mechanical and Aerospace Engineering Department, University of Central Florida, Orlando, USA

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APA Style

Puneet Vishwakarma, Yunjun Xu, Kuo-Chi Lin. (2017). Optimal Power Planning of Wind Turbines in a Wind Farm. American Journal of Electrical Power and Energy Systems, 6(2), 7-15. https://doi.org/10.11648/j.epes.20170602.11

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ACS Style

Puneet Vishwakarma; Yunjun Xu; Kuo-Chi Lin. Optimal Power Planning of Wind Turbines in a Wind Farm. Am. J. Electr. Power Energy Syst. 2017, 6(2), 7-15. doi: 10.11648/j.epes.20170602.11

Copy | Download

AMA Style

Puneet Vishwakarma, Yunjun Xu, Kuo-Chi Lin. Optimal Power Planning of Wind Turbines in a Wind Farm. Am J Electr Power Energy Syst. 2017;6(2):7-15. doi: 10.11648/j.epes.20170602.11

Copy | Download

@article{10.11648/j.epes.20170602.11,
  author = {Puneet Vishwakarma and Yunjun Xu and Kuo-Chi Lin},
  title = {Optimal Power Planning of Wind Turbines in a Wind Farm},
  journal = {American Journal of Electrical Power and Energy Systems},
  volume = {6},
  number = {2},
  pages = {7-15},
  doi = {10.11648/j.epes.20170602.11},
  url = {https://doi.org/10.11648/j.epes.20170602.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.epes.20170602.11},
  abstract = {Wind energy is attractive in the presence of climate concerns and has the potential to dramatically reduce the dependency on nonrenewable energy resources. With the increase in wind farms there is a need to improve the efficiency in power allocation and power generation among wind turbines. In this paper, a hierarchical algorithm including a cooperative level and an individual level is developed for power coordination and planning in a wind farm. In the cooperative level, a constrained quadratic programming problem is formulated and solved to allocate the power to wind turbines considering the aerodynamic effects of wake interaction and the power generation capabilities of wind turbines. In the individual level, a method based on the local pursuit strategy is studied to connect the cooperative level power allocation and the individual level power generation using a virtual leader-follower scheme. The stability of individual wind turbine power generation is analyzed. Simulations are used to show the advantages of the method.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Optimal Power Planning of Wind Turbines in a Wind Farm
AU  - Puneet Vishwakarma
AU  - Yunjun Xu
AU  - Kuo-Chi Lin
Y1  - 2017/04/14
PY  - 2017
N1  - https://doi.org/10.11648/j.epes.20170602.11
DO  - 10.11648/j.epes.20170602.11
T2  - American Journal of Electrical Power and Energy Systems
JF  - American Journal of Electrical Power and Energy Systems
JO  - American Journal of Electrical Power and Energy Systems
SP  - 7
EP  - 15
PB  - Science Publishing Group
SN  - 2326-9200
UR  - https://doi.org/10.11648/j.epes.20170602.11
AB  - Wind energy is attractive in the presence of climate concerns and has the potential to dramatically reduce the dependency on nonrenewable energy resources. With the increase in wind farms there is a need to improve the efficiency in power allocation and power generation among wind turbines. In this paper, a hierarchical algorithm including a cooperative level and an individual level is developed for power coordination and planning in a wind farm. In the cooperative level, a constrained quadratic programming problem is formulated and solved to allocate the power to wind turbines considering the aerodynamic effects of wake interaction and the power generation capabilities of wind turbines. In the individual level, a method based on the local pursuit strategy is studied to connect the cooperative level power allocation and the individual level power generation using a virtual leader-follower scheme. The stability of individual wind turbine power generation is analyzed. Simulations are used to show the advantages of the method.
VL  - 6
IS  - 2
ER  -

Copy | Download