State-space representation of the wind flow model in wind farms

Wind Energy

Volumn 17, Issue 4, 2014, Pages 627-639

  Soleimanzadeh, Maryam ^a   Wisniewski, Rafael ^a   Brand, Arno ^b  

^a AALBORG UNIVERSITY   (Denmark)

^b TNO   (Netherlands)

Author keywords

flow model; wind farm control; wind farm model

Indexed keywords

ELECTRIC UTILITIES; FINITE DIFFERENCE METHOD; ORDINARY DIFFERENTIAL EQUATIONS; STATE SPACE METHODS; WIND; WIND POWER; WIND TURBINES;

ENERGY RESEARCH CENTERS; FLOW MODEL; LINEARIZED NAVIER-STOKES EQUATIONS; POWER OPTIMIZATION; SPATIAL DISCRETIZATIONS; STATE SPACE REPRESENTATION; WIND FARM; WIND FARM MODELS;

NAVIER STOKES EQUATIONS;

CYLINDER; ENERGY; FINITE DIFFERENCE METHOD; NAVIER-STOKES EQUATIONS; WIND FARM; WIND POWER;

NETHERLANDS;

EID: 84895930735     PISSN: 10954244     EISSN: 10991824     Source Type: Journal    
DOI: 10.1002/we.1594     Document Type: Article

References (30)

1. Fernandez L, Garcia C, Saenz J, Jurado F,. Equivalent models of wind farms by using aggregated wind turbines and equivalent winds. Energy Conversion and Management 2009; 50 (3): 691-704.
2. Rethore P-E, Bechmann A, Sørensen N, Frandsen ST, Mann J,. A CFD model of the wake of an offshore wind farm: using a prescribed wake inflow. Journal of Physics: Conference Series 2007; 75 (1): 012047.
3. Ozturk UA,. Heuristic methods for wind energy conversion system positioning. Electric Power Systems Research 2004; 70: 179-185.
4. Lackner MA, Elkinton C,. An analytical framework for offshore wind farm layout optimization. Wind Engineering 2007; 31: 17-31.
5. Elkinton C, Manwell JF, McGowan JG,. Algorithms for offshore wind farm layout optimization. Wind Engineering 2008; 32: 67-84.
6. Akhmatov V, Knudsen H, Nielsen AH, Pedersen JK, Poulsen NK,. Modelling and transient stability of large wind farms. International Journal of Electrical Power & Energy Systems 2003; 25 (2): 123-144.
7. Kazachkov Y, Feltes J, Zavadil R,. Modeling wind farms for power system stability studies, Power Engineering Society General Meeting, IEEE, July 2003; 1526-1533.
8. Trujillo J, Wessel A, Waldl I, Lange B,. Online modeling of wind farm power for performance surveillance and optimization. Wind Energy 2007; Proceedings of the Euromech Colloquium: 163-166.
9. Rodriguez-Amenedo J, Arnaltes S, Rodriguez M,. Operation and coordinated control of fixed and variable speed wind farms. Renewable Energy 2008; 33 (3): 406-414.
10. Crespo A, Hernández J, Frandsen S,. Survey of modelling methods for wind turbine wakes and wind farms. Wind Energy 1999; 2: 1-24.
11. Larsen G, Madsen H, Larsen T, Troldborg N,. Wake modeling and simulation. Technical Report, Forskningscenter Risø Roskilde, 2008.
12. Brand AJ, Wagenaar JW,. A quasi-steady wind farm flow model in the context of distributed control of the wind farm, European Wind Energy Conference (EWEC 2010), Warsaw, Poland, 20-23 April 2010.
13. Fernandez LM, Saenz JR, Jurado F,. Dynamic models of wind farms with fixed speed wind turbines. Renewable Energy 2006; 31 (8): 1203-1230.
14. Barthelmie R, Rathmann O, Frandsen S, Hansen K, Politis E,. Modelling and measurements of wakes in large wind farms. Journal of Physics: Conference Series 2007; 75 (1): 012049.
15. Frandsen S, Barthelmie R, Pryor S, Rathmann O, Larsen S, Hojstrup J, Thogersen M,. Analytical modelling of wind speed deficit in large offshore wind farms. Wind Energy 2006; 9: 15.
16. Burton T, Sharpe D, Jenkins N, Bossanyi E,. Wind Energy Handbook. John Wiley and Sons: England, 2001.
17. Strang G,. Computational Science and Engineering. Wellesley-Cambridge Press: Wellesley, MA, 2007.
18. Ainslie JF,. Calculating the flowfield in the wake of wind turbines. Journal of Wind Engineering and Industrial Aerodynamics 1988; 27 (1-3): 213-224.
19. Kress W, Nilsson J,. Boundary conditions and estimates for the linearized Navier-Stokes equations on staggered grids. Computers & Fluids 2003; 32 (8): 1093-1112.
20. Soleimanzadeh M, Wisniewski R,. Controller design for a wind farm, considering both power and load aspects. Mechatronics 2011; 21 (4): 720-727.
21. Soleimanzadeh M, Wisniewski R, Kanev S,. An optimization framework for load and power distribution in wind farms. Wind Engineering & Industrial Aerodynamics August-September 2012; 107-108: 256-262.
22. Vermeer LJ, Sørensen JN, Crespo A,. Wind turbine wake aerodynamics. Progress in Aerospace Sciences 2003; 39 (6-7): 467-510.
23. Kasmi AE, Masson C,. An extended k-epsilon model for turbulent flow through horizontal-axis wind turbines. Journal of Wind Engineering and Industrial Aerodynamics 2008; 96 (1): 103-122.
24. Bianchi F, De Battista H, Mantz R,. Wind Turbine Control Systems: Principles, Modelling and Gain Scheduling Design. Springer Verlag: London, 2006.
25. Seibold B,. A compact and fast Matlab code solving the incompressible Navier-Stokes equations on rectangular domains. Applied Mathematics 2008. Massachusetts Institute of Technology.
26. Soleimanzadeh M, Wisniewski R,. Wind deficit model in a wind farm using finite volume method, Proceedings of American Control Conference (ACC), Baltimore, Maryland, USA, 2010; 4343-4348.
27. Soleimanzadeh M, Wisniewski R,. An optimization framework for load and power distribution in wind farms-low wind speed, 18th IFAC World Congress, Milan, Italy, 2011; 5561-5566.
28. Madjidian D, Mårtensson K, Rantzer A,. A distributed power coordination scheme for fatigue load reduction in wind farms, American Control Conference, San Francisco, California, USA, 2011; 5219-5224.
29. AIAA Guide for the Verification and Validation of Computational Fluid Dynamics Simulations. American Institute of Aeronautics & Astronautics, 1998. no. AIAA-G-077-1998 ISBN: 978-1-56347-354-8 AIAA Standards-Online.
30. Eecen P, Bot E,. Improvements to the ECN wind farm optimisation software "FarmFlow", Presented at the European Wind Energy Conference & Exhibition, Warsaw, Poland, 20-23 April 2010.