Wind Turbine Control Systems: Principles, Modelling and Gain Scheduling Design

Notation

Overview

?

Angle of attack ( )

?

Pitch angle ( )

? d

Demanded pitch angle ( )

? o

Optimum pitch angle ( )

?

Tip-speed-ratio

? min

Minimum tip-speed-ratio

? o

Optimum tip-speed-ratio

? Q ma x

Tip-speed-ratio for maximum torque coefficient

? g

Generator speed (r /s)

? N

Rated rotational speed (r /s)

? r

Rotor speed (r /s)

? s

Synchronous speed (r /s)

? z

Zero-torque speed (r /s)

?

Air density (1 .22 kg /m 3)

? s

Torsion angle (r)

A

Area swept by the blades (m 2)

B b

Blade damping (kg /s)

B g

Intrinsic generator damping (kgm /s)

B r

Intrinsic rotor damping (kgm /s)

B s

Drive-train damping (kgm /s)

B t

Tower damping (kg /s)

B T

Intrinsic thrust damping (kNs /r)

C P

Power coefficient

C P ma x

Maximum power coefficient

C Q

Torque coefficient

C Q ma x

Maximum torque coefficient

C T

Thrust coefficient

F T

Thrust force (N)

J g

Generator inertia (kgm 2)

J r

Rotor inertia (kgm 2)

K b

Blade stiffness (kg /s 2)

K s

Drive-train stiffness (kg /s 2)

K t

Tower stiffness (kg /s

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