DocumentCode :
630733
Title :
Coordinated control of a wind turbine array for power maximization
Author :
Bitar, Eilyan ; Seiler, Patrick
Author_Institution :
Sch. of Electr. & Comput. Eng., Cornell Univ., Ithaca, NY, USA
fYear :
2013
fDate :
17-19 June 2013
Firstpage :
2898
Lastpage :
2904
Abstract :
Wind turbines are currently operated at their peak power extraction efficiency without consideration of the aerodynamic coupling between neighboring turbines. This mode of operation leads to inefficient, sub-optimal power capture at the wind farm level. By explicitly accounting for the aerodynamic wake interactions between neighboring wind turbines within a farm, we aim to characterize optimal control policies that maximize the power captured by a collection of wind turbines operating in quasi-steady wind flow conditions. In this paper, we consider two wake interaction models, termed near-field and far-field, describing wake propagation under densely and sparsely spaced turbine arrays, respectively. Under the near-field model, we derive a closed form expression for the optimal control policy maximizing power capture for a one-dimensional array of wind turbines. Moreover, we show that the optimal control policy is both static and independent of the free stream wind velocity, being thus amenable to a decentralized implementation. We also formulate and solve numerically the problem of jointly optimizing over the control policy and placement of turbines in a one dimensional 3-turbine array under the far-field model.
Keywords :
aerodynamics; decentralised control; dynamic programming; numerical analysis; optimal control; wakes; wind turbines; aerodynamic wake interactions; closed form expression; coordinated wind turbine array control; decentralized implementation; densely spaced turbine array; far-field wake interaction model; free stream wind velocity-independent optimal control policy; inefficient-suboptimal power capturing; near-field wake interaction model; numerical analysis; one-dimensional 3-turbine array; one-dimensional wind turbine array; peak power extraction efficiency; power maximization; quasisteady wind flow conditions; sparsely spaced turbine array; static optimal control policy; turbine placement; wake propagation; wind farm level; Aerodynamics; Arrays; Couplings; Equations; Mathematical model; Wind turbines; Optimal Control; Wind Energy;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference (ACC), 2013
Conference_Location :
Washington, DC
ISSN :
0743-1619
Print_ISBN :
978-1-4799-0177-7
Type :
conf
DOI :
10.1109/ACC.2013.6580274
Filename :
6580274
Link To Document :
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