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Adjust To Mast, Mean Wind Speeds, and Energy Capture

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Although Openwind can be used in a variety of ways, it is recommended that the user import into the software a time series of data spanning an integer number of years. The data should be quality-controlled, adjusted to long-term conditions (if desired), and extrapolated to hub height, and should include wind speed, direction, temperature, turbulence intensity, and (optionally) air density. (Air density can be calculated in Openwind from the met mast altitude and the temperature time series.)

The wind-flow model (WRG or WRB format) can be imported from UL, another consultant, desktop software such as WAsP or Meteodyn WT, or calculated inside Openwind using the WindMap module. If imported into Openwind, the hub height WRG should be adjusted to mast by making all the hub height met mast layers children of the WRG and then right-clicking on the WRG and selecting “adjust to masts”.

Regardless of whether one chooses to adjust to mast using an inverse uncertainty weighting or inverse distance squared weighting, the fundamental method is the same. For distance squared it involves the following steps repeated for each direction, dir, in the original WRG:

Calculate the ratio between the met mast mean wind speed and the WRG mean wind speed for each mast and call this the wind speed ratio Ri, where i is the index of the mast

Calculate the ratio between the met mast probability for this direction and the WRG probability and call this the frequency ratio Fi

For each grid node in the WRG with coordinates, x, y, the new wind speed, U, is calculated by:

 

OPENWI~1_img204

Where

OPENWI~1_img205

 

And m is the number of met masts.

The probability of this direction at each grid node can be calculated in one of two ways:

Overwriting sector-wise probabilities, P, with those at the met masts

OPENWI~1_img206

Or scaling the directional distributions in the WRG

OPENWI~1_img207

Where

OPENWI~1_img208

In all the cases above, the term OPENWI~1_img209 could, in principle be replaced by another term which could include a mixture of distance and elevation difference, say, or uncertainty. In practice, the uncertainty blending in Openwind is more complex, as it accounts for the degree to which groups of masts can look like a single mast from a distant point. However, that is the subject of its own white paper.

The adjust to mast process, as shown above, results in the sector-wise wind speeds and probabilities in the WRG matching the met mast values at the mast locations. It effectively assimilates the met mast data into the WRG. This process removes the need to run a wind flow simulation for each mast (as is typically done for WAsP), and then to blend the results. By creating one wind flow and adjusting to all masts in Openwind, the same end result is achieved in a more integrated and efficient way.

Given that the software adjusts the WRG to the values at the met masts and that the resulting new WRG matches the met mast values at the met mast locations, it is not necessary to use point WRGs in the energy capture routine. Extracting point WRGs from the WRG should give the same mean wind speeds as at the met masts and so the wind speed ratios will remain the same either way. If the WRG mean wind speeds and directional distributions do not match the met mast values at the mast locations, then it is necessary to use point WRGs extracted from the WRG or created as part of the same process as the WRG.

Assigning turbines to individual met masts for a project in which a blended adjustment of the WRG to the masts has been performed tends to produce a more continuous result, without the discontinuities that occur when separate WRGs are created from each mast.

One issue that has been remarked upon by users is that the mean wind speeds at the turbine locations do not always match the mean wind speeds shown in the wind speed raster. This is because the directional distribution in the WRG varies from location to location within the WRG whereas the standard energy capture uses the unadjusted met mast frequency table. This is justified by the argument that we want to give precedence to the measured distribution. The WRG is used only to scale the wind speed before it is input to the power curve function.

There is an option to scale the directional distribution in the met mast frequency table by the changes in directional distribution in the WRG. This will tend to mean that the mean wind speeds at the turbines vary as in the WRG.

The adjust to masts dialog is shown below.

 

OPENWI~1_img210

Figure 182:   Adjust to masts dialog

 

Adjust to Masts Based on Reciprocal of

oDistance – this is not really used but the weighting of each met mast is proportional to one over the distance from that mast at each point in the grid.

oDistance Squared – the most commonly used option and is the one talked about above. This weights the contribution of each met mast, at any point in the grid, by one over the distance squared.

oModelling Uncertainty – this is the wind speed uncertainty due to the turbines not being positioned at the met mast and is calculated according to the uncertainty settings described in section Uncertainty. Depending on the uncertainty settings, this can read Modelling Plus Uncorrelated Uncertainty.

Adjusted WRG Name – this is the name of the adjusted WRG. It should generally include the original WRG name.

Overwrite WRG Probabilities Adjusting to Mast – this method is not recommended. Instead of scaling the probabilities in the original WRG, it replaces them with the inverse distance-squared weighted probabilities from the met masts being used to adjust.

Adjust K values – this replaces the K values in the WRG by the inverse distance-squared weighted K values in the met masts being used to adjust.

Correct Overall Mean Wind Speeds – this is executed as a second step after the regular adjust to masts step. It performs an adjust to masts in a similar fashion to that described above but only adjusting wind speeds based on the inverse distance squared weighted overall mean wind speed.

Use covariances in adjust to mast by uncertainty – this is a modification of the adjust to mast by uncertainty, the effect of which is to treat distant groups of met masts as correlated sources of uncertainty.

Make starter polygons, WRG copies and assign masts to copies – this is a time-saving measure given that most people follow the same procedure after carrying out an adjust to masts.

Make validity rasters, WRG copies and assign masts to copies – when adjusting by uncertainty, this option creates validity rasters, WRG copies and met mast copies and puts them in a usable order grouped under a single folder layer which can then be dragged to be a child of a site-layer.

Output Statistics to File – this will write text to one or more stats files showing how well the adjust to masts process worked as well as comparisons with single mast adjustments.

 

OPENWI~1_img211

Figure 183:  Adjust to masts dialog (uncertainty)  

 

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