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Turbulence measurements using lidars. Ameya Sathe and Jakob Mann. What do we mean by turbulence ?. Outline. How lidars measure turbulence? Can lidars measure turbulence? How can lidars measure turbulence?. Part I How lidars measure turbulence?. Basic principles of measurement.
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Turbulence measurements using lidars Ameya Sathe and Jakob Mann
Outline • How lidars measure turbulence? • Can lidars measure turbulence? • How can lidars measure turbulence?
How are the wind speeds retrieved? • ZephIR • Windcube
Lidarvs true turbulence measurement • True turbulence • Lidar turbulence 3D spectral velocity tensor • For detailed derivation
Lidarvs true turbulence measurement • True turbulence • Lidarturbulence –> m=1,n=1, i.e. u variance
ClickerQuestion – What problems do/doeslidarmeasuredturbulence have using VAD scanning? • No problems, measuresturbulencewell • Averaging of turbulence • Contribution of othercomponents of Reynolds stress tensor • B and C
ClickerQuestion – Say, we have a perfectlidarthatmeasures at a point. What problems willthislidar have whilemeasuringturbulenceusing VAD scanning? • No problems, measuresturbulencewell • Averaging of turbulence • Contribution of othercomponents of Reynolds stress tensor • B and C
TurbulenceSpectra definitions True autocovariancefunction
Turbulencespectrameasured by lidars Lidarmeasuredautocovariancefunction Separation distance for the u-component • For detailed derivation
Comparison of the model and measurements – CW lidar Ideal case Model Measurements Neutral conditions
Comparison of the model and measurements – CW lidar Ideal case Ideal case Model Model Measurements Measurements Stable conditions Unstable conditions
Comparison of the model and measurements – Pulsed lidar Neutral conditions
Comparison of the model and measurements – Pulsed lidar Stable conditions Unstable conditions
Comparison of the model and measurements – Pulsed lidar, u-spectra Lidar Lidar Sonic Sonic 60 m 100 m
Comparison of the model and measurements – Pulsed lidar, v-spectra Lidar Lidar Sonic Sonic 60 m 100 m
Comparison of the model and measurements – Pulsed lidar, w-spectra Lidar Lidar Sonic Sonic 60 m 100 m
ClickerQuestion – Canweretrieve true turbulence from the ratio • Yes • No • May be
Basic Principles Recall !! In principle, only 6 beams are required to measure Reynolds stress tensor
Optimum 6-beam configuration? We optimize this configuration to minimize the random errors in the measurement of Reynolds stress tensor • For details
Comparing the 6 beam configuration with the conical scanning method – CW lidar VAD scanning 6-beam Ideal case Neutral conditions
Comparing the 6 beam configuration with the conical scanning method – CW lidar Ideal case Ideal case Unstable conditions Stable conditions
Comparing the 6 beam configuration with the conical scanning method – Pulsed lidar Conical scanning 6-beam Ideal case Neutral conditions
Comparing the 6 beam configuration with the conical scanning method – Pulsed lidar Ideal case Ideal case Unstable conditions Stable conditions
Summary • Howlidarsmeasure the Reynolds stress tensor under VAD scanning • Howlidarsmeasureturbulencespectra under VAD scanning • Twomechanismsareresponsible for large systematicerrorsusing VAD scanning: • Averaging in the probevolume • Contamination by othercomponents of the Reynolds stress tensor • If wewant to measureturbulence as per the standard definitions then VAD scanning should not beused • Sixbeammethoddoes not contaminateturbulencemeasurements, but averaging problem still remains Future work • 6-beam experiment planned at DTU Wind Energy, Risø Campus (but could be conducted elsewhere too!!) • Further data analysis to get rid of volume averaging
ClickerQuestion – Is turbulencemeasuredusing the VAD scanning only a problem for lidars? • Yes, Onlylidarswill have problems • No, lidars and sodarswill have problems • No, Any instrument performing VAD scanning will have problems