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The modified logarithmic wind profile accounting for the atmospheric startification is defined<br />

in Equation 352. u is the wind speed at height z, z0 is the sea roughness length, u∗<br />

is the friction velocity, κ is the von Kármán constant (0.4) and ΨM the stability correction.<br />

The ENW is computed using u∗ and z0 consistent with the actual stratification and setting<br />

the ΨM function to zero.<br />

Wind observations from buoys, models or other satellite winds are used to estimate the<br />

friction velocity using the observed stability. The friction velocity is then used to estimate the<br />

10 m wind assuming a neutral atmosphere. Finally, this neutral 10 m wind is related to the<br />

observed σ0. The GMF resulting from the SASS scatterometer (Ku band) are tuned to ENW.<br />

The GMF of the CMOD family were tuned to non-neutral winds until CMOD5.N which is<br />

currently being used for the ASCAT scatterometer (Hersbach , 2010).<br />

Figure 198: Example of the difference between ENW and true wind depending on the atmospheric<br />

stratification. Image taken from Bourassa (2013)<br />

The atmospheric stability is not always neutral. Figure 198 shows how the stability can<br />

influence the difference between the ENW and the true wind. When the stratification is neutral<br />

(green line), the difference between the ENW and the true wind is negligible. When the<br />

stratification is stable (blue lines) the true wind is higher than the ENW. When the stratification<br />

is unstable (red lines) the ENW is higher than the true wind but the differences are<br />

much smaller compared to the stable cases. Brown et al. (2006) found that the globally averaged<br />

10 m neutral winds from the European Centre for Medium Range Weather Forecasting<br />

(ECMWF) were 0.19 m s −1 stronger than the ECMWF standard 10 m winds and concluded<br />

that the marine boundary layer is overall slightly unstable.<br />

16.4 Sources of error<br />

The backscattered signal is affected by rain, currents, the sea surface temperature and the<br />

atmospheric stratification. Hilburn et al. (2006) stated that rain changes the ocean surface<br />

roughness, backscatters the radar pulse and reduces its transmission through the atmosphere.<br />

Ku-band instruments operate at shorter wavelengths than C-band ones which makes them<br />

more sensitive to raindrops either in the atmospheric path or because of the rougher sea<br />

surface.<br />

The sea surface temperature (SST) influences the viscosity of the surface oceanic layer<br />

where the wind stress is applied. Higher SST results in lower viscosity. For a given wind<br />

speed, lower viscosity causes more surface roughness and thus, more backscattering. In such<br />

a case, the scatterometer will record higher σ0 values and the derived wind speed will be<br />

higher. The overall effect is that over warm water the scatterometer-derived wind speed may<br />

be higher than from in situ measurements.<br />

<strong>DTU</strong> Wind Energy-E-Report-0029(EN) 299

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