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Wind Power in Power Systems

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<strong>W<strong>in</strong>d</strong> <strong>Power</strong> <strong>in</strong> <strong>Power</strong> <strong>Systems</strong> 103<br />

voltage and current time series of the w<strong>in</strong>d turb<strong>in</strong>es are the <strong>in</strong>put to a simple grid model<br />

(see Figure 6.2). For different grid impedances, especially grid impedance angles, time<br />

series of voltage fluctuations are calculated for this fictitious grid. The simulated time<br />

series of <strong>in</strong>stantaneous voltage fluctuations are the <strong>in</strong>put to the standard voltage flicker<br />

algorithm <strong>in</strong> order to generate the flicker emission values P st. The algorithm is described<br />

<strong>in</strong> IEC 61000-4-15. Such P st values are calculated for a larger number of measured time<br />

series over the whole power range of the turb<strong>in</strong>e. Weighted with standard w<strong>in</strong>d-speed<br />

distributions, a 99 percentile of the Pst values is calculated, which ensures that for 99 %<br />

of the time, the flicker of the w<strong>in</strong>d turb<strong>in</strong>e will be with<strong>in</strong> this 99 percentile. Last, a flicker<br />

coefficient is calculated from this 99 percentile of the Pst values. The flicker coefficient<br />

gives a normalised, dimensionless measure of the flicker, <strong>in</strong>dependent of the network<br />

situation and thus <strong>in</strong>dependent of the selected short-circuit apparent power of the<br />

fictitious grid. It determ<strong>in</strong>es the ratio between short-circuit power and generator-rated<br />

apparent power, which is necessary to achieve a long-term flicker level, P lt, of 1. The<br />

flicker coefficient c is def<strong>in</strong>ed as:<br />

where<br />

Sk<br />

cð k; VaÞ ¼Plt<br />

Sn<br />

ð6:1Þ<br />

c( k, Va) is the flicker coefficient, dependent on the grid impedance angle k and on<br />

the annual average w<strong>in</strong>d speed Va.<br />

Sk is the short-circuit power of the grid at the po<strong>in</strong>t of common coupl<strong>in</strong>g (PCC).<br />

Sn is the apparent power of the w<strong>in</strong>d turb<strong>in</strong>e at rated power .<br />

Plt is the long-term flicker emission.<br />

This flicker coefficient can be used by utilities to calculate the flicker emission of a w<strong>in</strong>d<br />

turb<strong>in</strong>e or a w<strong>in</strong>d farm at a specific site.<br />

The procedures of IEC 61400-21 (IEC, 2001) and the German guidel<strong>in</strong>e are similar.<br />

The only difference is that the German guidel<strong>in</strong>e requires 1-m<strong>in</strong>ute time <strong>in</strong>tervals and<br />

thus 1-m<strong>in</strong>ute Pst values, and the IEC guidel<strong>in</strong>e requires 10-m<strong>in</strong>ute <strong>in</strong>tervals. This leads<br />

to different results, with the flicker coefficients of the German guidel<strong>in</strong>e <strong>in</strong> general<br />

slightly exceed<strong>in</strong>g those of the IEC guidel<strong>in</strong>e.<br />

Grid impedances<br />

Ideal voltage supply<br />

<strong>W<strong>in</strong>d</strong><br />

turb<strong>in</strong>e<br />

Figure 6.2 Simulation model for flicker measurements<br />

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