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vertical (m)<br />

<br />

<br />

<br />

<br />

150<br />

100<br />

50<br />

R<br />

d<br />

0<br />

0<br />

-50<br />

-100<br />

along wind (m) ¡©£§¥§<br />

r<br />

50<br />

-50<br />

0<br />

horizontal (m) ¡¢£¤¥¦£§¨©<br />

Figure 133: Measurement scenario for the 5-MW reference turbine. The variable d represents<br />

the preview distance upwind of the turbine where measurements are taken. r represents the<br />

radius of the scan circle and R indicates the 63 m rotor radius. The dots represent where<br />

measurements are taken for the circularly scanning lidar and the magenta curve illustrates the<br />

range weighting function along the lidar beam (see Section 10.5.1).<br />

Section10.3.Section10.4describesthewindspeedquantityofinterestforbladepitchcontrol,<br />

referred to as “blade effective wind speed.” Section 10.5 describes how measurements from<br />

a hub-mounted lidar can be used to estimate blade effective wind speed. The main sources<br />

of lidar measurement error are discussed here as well. The topics in Sections 10.2, 10.4,<br />

and 10.5 are combined to illustrate a lidar measurement design scenario in Section 10.6,<br />

with the objective of minimizing the mean square value of blade root bending moment using<br />

feedforward control. Examples of lidar-based feedforward controller designs using simulation<br />

areincludedinSections10.7and10.8.Finally,Section10.9summarizesthematerialpresented<br />

in the chapter.<br />

10.2 Wind Turbine Feedforward Control<br />

The combined feedback/feedforward control scenario for above-rated conditions used in this<br />

chapter is described in Fig. 134. A blade pitch control loop using feedback from rotor speed<br />

regulates an output variable y (such as generator speed error or a structural load), which<br />

represents the deviation from a set point. Generator torque is controlled to be inversely<br />

proportionalto generatorspeed to maintain the rated 5 MW of power(Jonkman et al., 2009).<br />

The feedback control loop is designed for the mean wind speed U such that any wind speed<br />

deviationactsasadisturbancewt ontheturbine.Thefeedbackcontrolloopisaugmentedwith<br />

a blade pitch feedforward controller F which uses the preview wind disturbance measurement<br />

wm, provided by a lidar. Additionally, a prefilter Hpre can be introduced between the lidar<br />

measurementandthefeedforwardcontrollertoprovideanestimate ˆwt ofthewinddisturbance<br />

based on wm. The originalupstream wind worig is measured by the lidaryielding the distorted<br />

measurement wm. As worig travels downstream toward the turbine, it will undergo distortion<br />

due to wind evolution until it interacts with the turbine as wt after a delay of d/U.<br />

10.2.1 Feedforward Control Assuming Perfect Measurements<br />

When feedforward is not used (F = 0), the output variable y is given by<br />

y = Tywtwt<br />

u<br />

v<br />

w<br />

(214)<br />

<strong>DTU</strong> Wind Energy-E-Report-0029(EN) 195

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