Wind Energy

176 E. Anahua et al.
D 1 L(u)
10
(a) 100 (b)
5
0
−5
−Φ D 1 L(u)
−100
−200
0 2
P(L(u))
−10
1000 1500 2000
−300
1000 1500 2000
Elect. Power L(u) [kW]: = 14.6 [m/s] Elect. Power L(u) [kW]: = 14.6 [m/s]
Fig. 31.2. (a) The deterministic dynamics D (1) (L) of the power for 〈u〉 =
14.6m s −1 .(b) The correspondent potential φD and the power distribution P (L(u)).
The minima of φD are the fixed points, stable-states. Position 1 and 2 represents a
fixed point and the simple average power, respectively
Elec. Power Output [kW]
3000
2500
2000
1500
1000
500
0
0 5 10 15 20 25 30 35
Wind Speed [m/s]
Fig. 31.3. Stationary power curve given by the fixed points for all wind velocity
intervals, black line. The arrows represent the deterministic dynamical relaxation of
the power output given by a two-dimensional analysis, D (1) (L, u)
31.5 Conclusion and Outlook
A simple power output model has been described as a function of relaxation
and noise. The stationary power curve has easily been derived by the fixed
1