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LIST OF ATTACHMENTSFURLING AND YAW ANALYSIS<br />

For the first scenario of CW rotation the equilibrium equation is:<br />

Which yields a yaw error � of 3.50°.<br />

For the second scenario of CCW rotation the equilibrium equation is:<br />

Which yields a yaw error � of 2.24°.<br />

The largest yaw error of 3.50° occurs during CW rotation for alignment. The error is con-<br />

sidered low enough to be acceptable.<br />

208<br />

I.2 Furling mechanism<br />

The present calculation verifies the overall functionality of the furling mechanism, by<br />

checking that furling is initiated at a wind speed of 14 m/s.<br />

The calculation is based on the principle of energy conservation. It is assumed that the<br />

amount of work performed by the furling rotor is translated into an increased potential<br />

energy of the tail, see description in section 8.2. The energy conversion is expressed<br />

mathematically by:<br />

Mv � Mr � Mfr.tot � 0<br />

Mfr.tot � Mr � Mv � 0<br />

Where Wr is the work performed by the rotor:<br />

Wr<br />

And Ev is the potential energy of the tail:<br />

Ev � Wr<br />

� Ftf Lr.y�f<br />

Ev �<br />

mv g h<br />

Ftf is the rotor thrust force, which is found u<strong>sin</strong>g the rotor calculation tool calculated. Lr.y is<br />

the moment arm of 107.5 mm shown on figure I.3 and �f is the furling angle of figure 8.6.<br />

mv is the tail mass of 17.5 kg and Δh is the gained height of the tail’s mass centre.<br />

(I.24)<br />

(I.25)<br />

(I.26)<br />

(I.27)<br />

(I.28)

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