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pR(V) is found in appendix A.1 to be<br />

Where Vave is the average wind speed at the site, equal to 6 m/s.<br />

ROTOR<br />

The integral of (6.1) is calculated from generator cut-in at V1 = 4 m/s to V2 = 14 m/s, where<br />

furling is initialised (see section 7.1 and 8.2).<br />

Multiplication of this by 8760 h yields the annual energy production for the site defined in<br />

appendix A.1.<br />

P ave<br />

pR( V)<br />

(6.3)<br />

(6.4)<br />

(6.5)<br />

The above annual energy production is a conservative assessment, as the wind turbine still<br />

produces power beyond 14 m/s, where furling is initiated. The produced power beyond<br />

furling will presumably be less than the maximum power generated at 14 m/s. Moreover<br />

wind speeds above 14 m/s only occur 1.4% of the time for the installation site specified in<br />

appendix A.1, which renders the power produced above the furling limit negligible. The<br />

annual energy production of the wind turbine can be optimised by trimming the character-<br />

istics of the generator, to make the best possible fit to the characteristics of the rotor (or<br />

vice versa). The cut-in wind speed of the generator, currently 4 m/s, may also be lowered<br />

to improve annual energy production, although the power available at low wind speeds is<br />

close to insignificant. It should be noted that the expected power output divergence, de-<br />

scribed in the previous section, also is applicable to the annual energy output.<br />

The average wind turbine power Pave (or the annual energy production) may also be used<br />

to calculate a related performance parameter, the capacity factor, CF. The capacity factor is<br />

the ratio of actual productivity to the rated productivity:<br />

�<br />

�<br />

2<br />

V<br />

2<br />

Vave e<br />

2<br />

� V<br />

� � �<br />

� �<br />

4 � Vave �<br />

4 m<br />

14<br />

s<br />

m<br />

� s<br />

�<br />

=<br />

�<br />

pR( V)<br />

Pg( V)<br />

dV<br />

= 107W<br />

�<br />

E ann<br />

= Pave8760h = 935kWh<br />

Pave CF = =<br />

0.07<br />

1500W<br />

A capacity factor of 7% is relatively low. Typical capacity factors for larger wind turbines<br />

are 20-40%, with values in the upper end of the range in particularly favourable sites [32].<br />

(6.6)<br />

For the present turbine the low capacity factor is caused mainly by the generator efficiency<br />

of 45% and the low average wind speed of the installation site. If hypothetically only con-<br />

63

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