Damping of edgewise wind turbine blade vibrations

1. A method comprising:

measuring a motion parameter of a rotor blade of a wind turbine;

determining, based on the motion parameter, a vibration velocity of an edgewise vibration at a center of mass of the rotor blade;

generating, based on the vibration velocity of the edgewise vibration at the center of mass of the rotor blade, a blade pitch angle control signal; and

damping the edgewise vibration at the center of mass of the rotor blade by pitching the rotor blade according to the blade pitch angle control signal, wherein a resulting force on the rotor blade pitched according to the blade pitch angle control signal is, in a direction of the edgewise vibration in a coordinate system that rotates with a rotor of the wind turbine, opposite and proportional to the vibration velocity of the edgewise vibration at the center of mass of the rotor blade.

2. The method of claim 1 , wherein the motion parameter of the rotor blade is a blade root bending moment.

3. The method of claim 2 , wherein determining the vibration velocity comprises:

estimating the vibration velocity using the blade root bending moment.

4. The method of claim 3 ,

wherein estimating the vibration velocity comprises applying a leaky integration filter to the blade root bending moment, and

wherein generating the blade pitch angle control signal comprises multiplying the vibration velocity by a gain factor to determine a blade pitch offset.

5. The method of claim 1 ,

wherein the rotor blade is one of a plurality of rotor blades of the wind turbine, and

wherein the damping is performed for each individual rotor blade of the plurality of rotor blades.

6. The method of claim 1 , wherein measuring the motion parameter comprises receiving motion parameter information from a sensor placed at the rotor blade or in the rotor blade.

7. The method of claim 1 , wherein pitching the rotor blade according to the blade pitch angle control signal is carried out for a limited period of time.

8. The method of claim 1 , further comprising:

determining whether a vibration parameter of the edgewise vibration exceeds a predetermined entry threshold,

wherein damping the edgewise vibration of the rotor blade occurs when the vibration parameter exceeds the predetermined entry threshold.

9. The method of claim 8 , wherein measuring a motion parameter of the rotor blade comprises:

acquiring a plurality of corresponding values for the center of mass of the rotor blade, wherein the plurality of corresponding values correspond to any one of:

a plurality of corresponding values of time and position of the rotor blade;

a velocity of the rotor blade;

a plurality of corresponding values of time and acceleration of the rotor blade;

a plurality of corresponding values of time and force;

a plurality of corresponding values of time and moment;

a plurality of corresponding values of time and strain; and

a plurality of corresponding values of time and stress.

10. The method of claim 1 , wherein measuring a motion parameter of the rotor blade comprises any one of:

receiving temporally resolved position information from a position sensor, wherein the temporally resolved position information enables determining a plurality of corresponding values of time and position of the rotor blade;

receiving velocity information from a velocity sensor;

receiving temporally resolved acceleration information from an acceleration sensor, wherein the temporally resolved acceleration information enables determining a plurality of corresponding values of time and acceleration of the rotor blade; and

receiving gyroscopic information from a gyro sensor.

11. A control system for a wind turbine, the control system comprising:

one or more computer processors configured to perform an operation comprising:

measuring a motion parameter of a rotor blade of the wind turbine;

determining, based on the motion parameter, a vibration velocity of an edgewise vibration at a center of mass of the rotor blade;

generating, based on the vibration velocity of the edgewise vibration at the center of mass of the rotor blade, a blade pitch angle control signal; and

transmitting the blade pitch angle control signal to a pitch actuator of the wind turbine to damp the edgewise vibration at the center of mass of the rotor blade,

wherein a resulting force on the rotor blade pitched according to the blade pitch angle control signal is, in a direction of the edgewise vibration in a coordinate system that rotates with a rotor of the wind turbine, opposite and proportional to the vibration velocity of the edgewise vibration at the center of mass of the rotor blade.

12. The control system of claim 11 , wherein the motion parameter of the rotor blade is a blade root bending moment.

13. The control system of claim 11 , wherein measuring the motion parameter comprises receiving motion parameter information from a sensor placed at the rotor blade or in the rotor blade.

14. The control system of claim 11 , the operation further comprising:

determining whether a vibration parameter of the edgewise vibration exceeds a predetermined entry threshold,

wherein damping the edgewise vibration of the rotor blade occurs when the vibration parameter exceeds the predetermined entry threshold.

15. The control system of claim 11 , wherein measuring a motion parameter of the rotor blade comprises any one of:

receiving temporally resolved position information from a position sensor, wherein the temporally resolved position information enables determining a plurality of corresponding values of time and position of the rotor blade;

receiving velocity information from a velocity sensor;

receiving temporally resolved acceleration information from an acceleration sensor, wherein the temporally resolved acceleration information enables determining a plurality of corresponding values of time and acceleration of the rotor blade; and

receiving gyroscopic information from a gyro sensor.

16. A wind turbine comprising:

a rotor having at least one rotor blade;

a pitch actuator configured to adjust a pitch of the rotor blade; and

a control system configured to:

measure a motion parameter of the rotor blade;

determine, based on the motion parameter, a vibration velocity of an edgewise vibration at a center of mass of the rotor blade;

generate, based on the vibration velocity of the edgewise vibration at the center of mass of the rotor blade, a blade pitch angle control signal; and

transmit the blade pitch angle control signal to the pitch actuator to damp the edgewise vibration at the center of mass of the rotor blade,

wherein a resulting force on the rotor blade pitched according to the blade pitch angle control signal is, in a direction of the edgewise vibration in a coordinate system that rotates with the rotor, opposite and proportional to the vibration velocity of the edgewise vibration at the center of mass of the rotor blade.

17. The wind turbine of claim 16 , wherein the motion parameter of the rotor blade is a blade root bending moment.

18. The wind turbine of claim 16 , wherein measuring the motion parameter comprises receiving motion parameter information from a sensor placed at the rotor blade or in the rotor blade.

19. The wind turbine of claim 16 , wherein the control system is further configured to:

determine whether a vibration parameter of the edgewise vibration exceeds a predetermined entry threshold,

wherein damping the edgewise vibration of the rotor blade occurs when the vibration parameter exceeds the predetermined entry threshold.

20. The wind turbine of claim 16 , wherein measuring a motion parameter of the rotor blade comprises any one of:

receiving temporally resolved position information from a position sensor, wherein the temporally resolved position information enables determining a plurality of corresponding values of time and position of the rotor blade;

receiving velocity information from a velocity sensor;

receiving temporally resolved acceleration information from an acceleration sensor, wherein the temporally resolved acceleration information enables determining a plurality of corresponding values of time and acceleration of the rotor blade; and

receiving gyroscopic information from a gyro sensor.