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Figure 148: During simulation, FAST reads in wind speeds at the turbine directly from the<br />

TurbSim output; the controller estimates blade positions 1/2 second into the future and<br />

interpolates wind speeds at these positions from the annulus of evolved wind speeds. Signals<br />

and blocks are explained throughout Sections 10.7.1 and 10.7.2.<br />

10.7 Control Example 1: Wind Turbine Preview Control<br />

In The Presence of Evolving Turbulence<br />

In this control example, we use spectral methods discussedin Laks et al. (2013)so that a form<br />

of wind evolution described in Section 10.5.3 can be introduced into the simulationof preview<br />

control techniques. This is similar to the method proposed in Bossanyi et al. (2012b), but<br />

in our case TurbSim’s von Karman spectral model (Jonkman, 2009) is generalized from the<br />

originaltransverse andvertical (y,z)implementationto onethat encompasses(x,y,z) (directions<br />

defined in Fig. 133). This introduces changes in the measured wind speeds that increase<br />

with their displacement from the rotor, while keeping the spectral content and transverse and<br />

vertical spatial correlations consistent with those used by TurbSim.<br />

A schematic of the simulation proposed for investigating the effects of evolution is shown<br />

in Fig. 148. A distribution of wind speeds is obtained from TurbSim (Jonkman, 2009) to<br />

provide inputs during simulation of the turbine using FAST (Jonkman and Buhl, 2005).<br />

These wind speeds are pre-processed to induce “evolved” wind speeds at locations within an<br />

annulus located at various distances in front of the turbine as depicted in Fig. 133. During<br />

simulation, preview measurements are taken from this annulus of evolved wind speeds. The<br />

pre-processing and simulations are done three times; first simply generating an annulus of<br />

wind speeds without evolution or lidar effects; then a second set with evolution effects; and<br />

thenagainwiththeadditionofthegeometryandrangeweightingeffects ofacontinuous-wave<br />

lidar measurement system.<br />

The controller is designed to regulate speed and mitigate blade loads. The design is based<br />

on a discrete-time equivalent of the turbine dynamics sampled at 20 Hz (0.05 s sample<br />

period). With this approach, the preview measurements are stored in a chain of delays and<br />

this storage can be viewed as a part of the state of a generalized turbine model. This allows<br />

implementation of preview control as a state-feedback design; that is, the turbine control is<br />

generated using feedback gains associated with each state of the generalized model and this<br />

<strong>DTU</strong> Wind Energy-E-Report-0029(EN) 211

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