Problem 2. A linearized state space model of a three blade speed wind turbine with a 15 m radius working at 12 m/s wind-speed and generating 220 V is -5 1 -10.5229 -1066.67 -3.38028 23.5107 993.804 3.125 -23.5107 Wgm 10 -10 Wgm y = [0 0 0 1.223 x 10 0] Wym where 3 is the pitch angle of the wind turbine blades, § is the relative angle of the sec- ondary shaft, į is the angular velocity of the secondary shaft, wg is the generator speed, wgm is the generator measurement speed, u is the pitch angle reference, and y is the active power generated. (a) What is the maximum number of poles that the transfer function could have? How many poles does it have?

Elements Of Electromagnetics
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Problem 2.
A linearized state space model of a three blade speed wind turbine
with a 15 m radius working at 12 m/s wind-speed and generating 220 V is
-5
5
1
-10.5229 -1066.67 -3.38028 23.5107
993.804
3.125
-23.5107
Wgm
10
-10
Wgm
y = [ 0 0 0 1.223 × 10° 0]
Wgm
where 3 is the pitch angle of the wind turbine blades, { is the relative angle of the sec-
ondary shaft, i is the angular velocity of the secondary shaft, wg is the generator speed,
Wgm is the generator measurement speed, u is the pitch angle reference, and y is the active
power generated.
(a)
What is the maximum number of poles that the transfer function could
have? How many poles does it have?
Transcribed Image Text:Problem 2. A linearized state space model of a three blade speed wind turbine with a 15 m radius working at 12 m/s wind-speed and generating 220 V is -5 5 1 -10.5229 -1066.67 -3.38028 23.5107 993.804 3.125 -23.5107 Wgm 10 -10 Wgm y = [ 0 0 0 1.223 × 10° 0] Wgm where 3 is the pitch angle of the wind turbine blades, { is the relative angle of the sec- ondary shaft, i is the angular velocity of the secondary shaft, wg is the generator speed, Wgm is the generator measurement speed, u is the pitch angle reference, and y is the active power generated. (a) What is the maximum number of poles that the transfer function could have? How many poles does it have?
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