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.
Original language | English (US) |
---|---|
Title of host publication | 2013 American Control Conference, ACC 2013 |
Pages | 2898-2904 |
Number of pages | 7 |
State | Published - Sep 11 2013 |
Event | 2013 1st American Control Conference, ACC 2013 - Washington, DC, United States Duration: Jun 17 2013 → Jun 19 2013 |
Other
Other | 2013 1st American Control Conference, ACC 2013 |
---|---|
Country/Territory | United States |
City | Washington, DC |
Period | 6/17/13 → 6/19/13 |
Keywords
- Optimal Control
- Wind Energy