DAMPING OF A WIND TURBINE TOWER OSCILLATION
20190055923 ยท 2019-02-21
Inventors
- Fabio Caponetti (?byh?j, DK)
- Jesper Sandberg Thomsen (Hadsten, DK)
- Jacob Deleuran Grunnet (Tranbjerg J, DK)
- Poul Brandt CHRISTENSEN (Ry, DK)
Cpc classification
F05B2240/221
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F03D1/00
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F05B2220/30
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F03D7/024
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16F15/002
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F05B2270/10
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F05B2270/604
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F03D7/0224
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F05B2270/334
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F05B2270/402
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
Y02E10/72
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
F05B2260/80
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F05B2260/964
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F05B2270/326
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F05B2260/74
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F05B2200/20
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F03D80/80
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F03D7/0296
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F03D7/042
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
International classification
F03D7/02
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F03D80/80
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F03D7/04
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
Abstract
A method for damping an oscillation of a tower of a wind turbine is disclosed, wherein a pitch angle of each of the one or more rotor blades is individually adjustable, the method comprising damping the oscillation of the tower by pitching each rotor blade individually according to tower damping pitch control signals, wherein each tower damping pitch control signal comprises a first periodic component, where a first frequency of the first periodic component corresponds to a frequency difference between a tower frequency of the oscillation of the tower and a rotor frequency of a rotation of the rotor, and where a second periodic component has been reduced or removed. A second frequency of the second periodic component corresponds to a frequency sum of the tower frequency and the rotor frequency.
Claims
1. A method for damping an oscillation of a tower of a wind turbine, wherein the method further comprises: preparing for each rotor blade of the wind turbine a precursor signal, where each precursor signal comprises: a first periodic component with a first amplitude which is larger than zero, and where the first frequency of the first periodic component corresponds to the frequency difference between a tower frequency and a rotor frequency, and a second periodic component with a second amplitude which is larger than zero, and where a second frequency of the second periodic component corresponds to a frequency sum of the tower frequency and the rotor frequency, preparing for each rotor blade a tower damping pitch control signal as a result of the precursor signal wherein the second amplitude of the second periodic component has been partially or fully reduced relative to the first amplitude of the first periodic component, damping the oscillation of the tower by pitching each rotor blade individually according to the tower damping pitch control signals.
2. A method for damping an oscillation of a tower of a wind turbine according to claim 1, wherein each tower damping pitch control signal substantially exclusively comprises the first periodic component.
3. A method for damping an oscillation of a tower of a wind turbine according to claim 1, wherein the second amplitude is reduced to zero.
4. A method for damping an oscillation of a tower of a wind turbine according to claim 1, where a first phase of the first periodic component in each tower damping pitch control signal is calculated based on a sum of: a phase difference between a tower phase of the oscillation of the tower and a rotor phase of the rotation of the rotor, and a phase adjustment with respect to said phase difference.
5. A method for damping an oscillation of a tower of a wind turbine according to claim 1, where a second phase of the second periodic component in each tower damping pitch control signal corresponds to a sum of: a phase sum between the tower phase and the rotor phase, and a phase adjustment with respect to said phase sum.
6. A method for damping an oscillation of a tower of a wind turbine according to claim 1, wherein the phase adjustment is dependent on: a time delay, and/or a phase shift.
7. A method for damping an oscillation of a tower of a wind turbine according to 1, wherein the phase adjustment is dependent on: an operational point of the wind turbine, a structural characteristics of the wind turbine and/or the tower frequency.
8. A method for damping an oscillation of a tower of a wind turbine according to claim 1, wherein the second amplitude depends on an available power.
9. A method for damping an oscillation of a tower of a wind turbine according to claim 1, the method further comprises: determining: a tower frequency of the oscillation of the tower, and a rotor frequency of a rotation of the rotor.
10. A method for damping an oscillation of a tower of a wind turbine according to claim 1, the method further comprises: determining: a tower phase of the oscillation of the tower, and a rotor phase of a rotation of the rotor.
11. A method for damping an oscillation of a tower of a wind turbine according to claim 1, wherein the oscillation of the tower is a horizontal oscillation in a plane of the rotor.
12. A method for damping an oscillation of a tower of a wind turbine according to claim 1, wherein each tower damping pitch control signal consists of the first periodic component and the second periodic component.
13. A method for damping an oscillation of a tower of a wind turbine according to claim 1 wherein reducing the amplitude of the second periodic component is obtained by use of a bandpass filter or a notch filter.
14. (canceled)
15. (canceled)
16. (canceled)
17. A computer program product having instructions which, when executed cause a computing device or a computing system or a control system for a wind turbine to perform an operation for damping an oscillation of a tower of the wind turbine, wherein the operation further comprises: preparing a precursor signal for each rotor blade of the wind turbine, where each precursor signal comprises: a first periodic component with a first amplitude which is larger than zero, and where the first frequency of the first periodic component corresponds to the frequency difference between a tower frequency and a rotor frequency, and a second periodic component with a second amplitude which is larger than zero, and where a second frequency of the second periodic component corresponds to a frequency sum of the tower frequency and the rotor frequency, based on the precursor signal, preparing a tower damping pitch control signal for each rotor blade; wherein the second amplitude of the second periodic component has been partially or fully reduced relative to the first amplitude of the first periodic component; and damping the oscillation of the tower by pitching each rotor blade individually according to the tower damping pitch control signals.
18. A wind turbine, comprising: a tower; a nacelle disposed on the tower; a generator disposed in the nacelle; a rotor coupled to the generator; a plurality of rotor blades coupled to the rotor; a control system configured to perform an operation, comprising: preparing a precursor signal for each rotor blade, where each precursor signal comprises: a first periodic component with a first amplitude which is larger than zero, and where the first frequency of the first periodic component corresponds to the frequency difference between a tower frequency and a rotor frequency, and a second periodic component with a second amplitude which is larger than zero, and where a second frequency of the second periodic component corresponds to a frequency sum of the tower frequency and the rotor frequency, based on the precursor signal, preparing a tower damping pitch control signal for each rotor blade; wherein the second amplitude of the second periodic component has been at least partially reduced relative to the first amplitude of the first periodic component; and damping the oscillation of the tower by pitching each rotor blade individually according to the tower damping pitch control signals.
Description
BRIEF DESCRIPTION OF THE FIGURES
[0023]
[0024]
[0025]
[0026]
[0027]
[0028]
[0029]
[0030]
DESCRIPTION OF EMBODIMENTS
[0031] The present invention will now be explained in further details. While the invention is susceptible to various modifications and alternative forms, specific embodiments have been disclosed by way of examples. It should be understood, however, that the invention is not intended to be limited to the particular forms disclosed. Rather, the invention is to cover all modifications, equivalents, and alternatives falling within the spirit and scope of the invention as defined by the appended claims.
[0032]
[0033]
and [0036] a second periodic component with a second amplitude being smaller than the first amplitude, where a second frequency of the second periodic component corresponds to a frequency sum of the tower frequency (f.sub.tow) and the rotor frequency (f.sub.1P)
[0037] The tower damping pitch control signal is based on a precursor signal, and in the present embodiment the method further comprises: [0038] Preparing 216 for each rotor blade a corresponding precursor signal 218, where each corresponding precursor signal comprises: [0039] The first periodic component with the first amplitude which is larger than zero, and where the first frequency of the first periodic component corresponds to the frequency difference between the tower frequency (f.sub.tow) and the rotor frequency (f.sub.1P), [0040] and [0041] the second periodic component with the second amplitude which is larger than zero, such as the first amplitude being equal to the second amplitude, and where the second frequency of the second periodic component corresponds to a frequency sum of the tower frequency (f.sub.tow) and the rotor frequency (f.sub.1P), [0042] Determining 220 for each rotor blade the corresponding tower damping pitch control signal 222 as a result of the corresponding precursor signal 218 wherein the second amplitude of the second periodic component has been partially or fully reduced relative to the first amplitude of the first periodic component.
[0043] Thus, it may be understood that the tower damping pitch control signals may be prepared by first preparing precursor signals, optionally comprising periodic components of equal size at frequencies corresponding to both sum and difference of the tower and 1P rotor frequencies, and then subsequently preparing the tower damping pitch control signals by reducing the amplitude of the second periodic component at the sum frequency, e.g., with a filter, such as a bandpass filter or a notch filter.
[0044] The precursor signal should be understood broadly and need not be a physical signal, but may be a mathematical representation of the frequency positions of the first and second periodic components.
[0045] In general, a strategy for lateral damping (LD), may be to emulate a viscous damper by continuously creating a force which opposes the crosswind tower motion. The lateral tower behaviour can be modelled as a simple linear spring-mass-damper system.
[0046] A lateral displacement x as a function of the time t is governed by the differential equation:
m{umlaut over (x)}(t)+c{dot over (x)}(t)+kx(t)=F(t)
[0047] Here m is the mass, c the damping coefficient and k is spring constant. An objective may then be to generate a force F(t) proportional to the velocity {dot over (x)}(t). This may be achieved by: [0048] 1. Determining, such as measuring, the lateral tower top acceleration, {umlaut over (x)}(t) [0049] 2. Estimating the lateral tower velocity, {umlaut over (x)}(t).fwdarw. [0050] 3. Generating a force proportional to the estimated velocity, F(t)=?K.sub.p
[0051] Methods of the present invention may generate a lateral (sideways) force by cyclically varying the pitch angle of each blade as function of its position in the rotor plane. The pitch signal for three exemplary blades A, B, C can be written as Eq. 5.
[0052] Here ?.sub.0(t) is the collective pitch angle and ?(t) the rotor position. To generate a force useful for tower damping ?.sub.LD(t) has to be proportional to the estimated tower velocity,
?.sub.LD(t)=?K.sub.p(6)
[0053] This may be a control action periodic with the frequency of the oscillation of the tower f.sub.tow, thus Eq. 7 is substituted into Eq. 5 leading to an individual pitch signal with frequency f.sub.1P?f.sub.tow.
?.sub.LD(t)=?(t)cos(2?f.sub.towt) (7)
[0054] Here ?(t) is a generic amplitude, which may be proportional with the amplitude of the tower velocity. The aerodynamic forces acting on a generic blade i are given by sum of the lift F.sub.L,i and drag F.sub.D,i generated at each blade section relative to the inflow direction.
[0055] Those forces are transformed in the rotor coordinate system, i.e., the forces, local to the blade are expressed in a coordinate system, which is on the rotor plane.
F.sub.x,i(t)=F.sub.L,i(t)sin(?(t)?F.sub.D,i(t)cos(?(t)) (8)
F.sub.y,i(t)=F.sub.L,i(t)cos(?(t)+F.sub.D,i(t)sin(?(t)) (9)
[0056] Here F.sub.x,i and F.sub.y,i are the resulting forces from the i'th-blade, expressed in a orthogonal coordinate system with origin the rotor centre. Eq. 8 and Eq. 9 represent, respectively, the sideways and thrustwise components of the forces generated. When pitching the blades individually, the sideways force on the individual blade is function of the pitch angle, which can be linearized around the operating point ?.sub.0:
[0057] Considering the gravitational forces adding to zero, the total aerodynamic sideways force acting on the tower top is the geometric addition of the individual forces at the blades flange, Eq. 11 gives the total lateral force F.sub.x acting on the rotor centre generated by the blades A, B and C:
F.sub.x(t)=F .sub.x,A(t)cos(?)+F.sub.x,B(t)cos(????)+F.sub.x,C(t)cos(?? 4/3?) (11)
[0058] Consider as example blade A, the individual pitch signal (i.e., ignoring any collective pitch signal) resulting from lateral damping (LD) can be expressed as function of the continuous time t as in Eq. 12.
?.sub.A=(t)=A cos(2?f.sub.towt+?.sub.tow)cos(2?f.sub.1Pt+?.sub.1P) (12)
[0059] Where A is the generic pitch amplitude, f.sub.tow the tower frequency in Hz, ?.sub.tow a generic phase shift at the tower frequency, f.sub.1P the 1P frequency and ?.sub.1P is a generic phase shift at the 1P frequency.
[0060] Eq. 12 is rewritten in Eq. 13 to elicit the presence of the two harmonics at f.sub.tow?f.sub.1P:
[0061] Following, it is clear that a time delay will have a different effect on the two harmonics, because of the different frequencies and the different combination of the actuation and control phases.
[0062]
[0063] There is also presented embodiments wherein the second amplitude is zero or wherein the second amplitude is non-zero, such as illustrated in
[0064]
[0065] In an embodiment, each tower damping pitch control signal substantially exclusively comprises the first periodic component, such as exclusively comprises the first periodic component. An advantage of having exclusively the first periodic component may be that reduces the required energy with an amount corresponding to the energy required for pitching at the second frequency. Another advantage may be that it enables phase shifting, since only a single periodic component is then present.
[0066]
[0067] In an embodiment, a first phase of the first periodic component in each tower damping pitch control signal is calculated based on a phase difference between the tower phase (?.sub.tow) and the rotor phase (?.sub.1P) and a second phase of the second periodic component in each tower damping pitch control signal is optionally calculated based on a sum of the tower phase (?.sub.tow) and the rotor phase (?.sub.1P).
[0068] In an embodiment a first phase of the first periodic component in each tower damping pitch control signal is calculated based on a sum of: [0069] a phase difference between a tower phase (?.sub.tow) of the oscillation of the tower and a rotor phase (?.sub.1P) of the rotation of the rotor, and [0070] a phase adjustment with respect to said phase difference
[0071] A second phase of the second periodic component in each tower damping pitch control signal is optionally calculated based on a sum of: [0072] a phase sum of the tower phase (?.sub.tow) and the rotor phase (?.sub.1P), and [0073] the phase adjustment with respect to said phase sum.
[0074] An advantage of this may be that it enables providing a first phase being appropriate for damping the tower oscillation, and furthermore optionally that it enables providing a second phase being appropriate for damping the tower oscillation.
[0075] An advantage of introducing a phase adjustment may be, that said phase adjustment may compensate for time delays and/or phase shifts. Time delays may for example be introduced in the process of detection of a tower oscillation, generation of corresponding tower damping pitch control signals and pitching according to these tower damping pitch control signals. Phase shifts may be introduced by filters, such as low-pass filters used for processing signals from sensors for monitoring tower oscillations. If a phase adjustment is not introduced, then timing of pitching may be sub-optimal due to time delays and phase adjustments. However, by introduction of a phase adjustment, then parameters associated with time delays and phase shifts can be chosen freely and optimally, since the combined effect of time delays and phase shift can be taken into account via the phase adjustment.
[0076] In an embodiment a first phase of the first periodic component in each tower damping pitch control signal corresponds to, such as is based on and corresponds to, such as in practical circumstances corresponds to, such as is equal to, a sum of: [0077] a phase difference between the tower phase (?.sub.tow) and the rotor phase (?.sub.1P), and [0078] a phase adjustment with respect to said phase difference.
[0079] A second phase of the second periodic component in each tower damping pitch control signal optionally corresponds to, such as is based on and corresponds to, such as in practical circumstances corresponds to, such as is equal to, a sum of: [0080] a phase sum of the tower phase (?.sub.tow) and the rotor phase (?.sub.1P), and [0081] the phase adjustment with respect to said phase sum.
[0082] In an embodiment, the phase adjustment is dependent on, such as corresponds to, such as in practical circumstances corresponds, the effect, such as the combined effect, of: [0083] A time delay, such as a time delay from detection of oscillation of the tower to a damping actuation, and/or [0084] A phase shift, such as a phase shift introduced by a filter, such as a low-pass filter.
[0085] It may be understood that in terms of periodic actuation, the effect of a time delay and a phase shift are equivalent and can be added together (taking their sign into account).
[0086] By making the phase adjustment dependent on, such as equivalent to the combined effect of, the time delay and/or phase shift, the time shift and phase shift may be taken into account and their negative effects mitigated or eliminated.
[0087] In an embodiment, the phase adjustment is made dependent on an operational point of the wind turbine, a structural characteristics of the wind turbine and/or the tower frequency of the wind turbine. In such an embodiment, the amount and possibly also the sign of the adjustment may be made in dependency upon one or more of the following: the speed of the rotor, the 1P frequency, the ratio of the 1P frequency and the tower's first natural frequency. The phase adjustment may also be dependent on such structural characteristics as the damping of the tower oscillation in the given operational point
[0088]
[0089] The upper left figure shows a polar plot of the direction of a force applied on the tower from the blades due to pitching according to the signal corresponding to the precursor signal. The angles 90? and 270? corresponds to up and down, respectively, and the angles 0? and 180? corresponds to the two directions away from the wind turbine in the horizontal plane orthogonal to the rotor axis.
[0090] The upper right figure indicates the up/down tower top force, i.e., the force in the vertical direction orthogonal to the rotor axis applied on the tower from the blades due to pitching according to the signal corresponding to the precursor signal as a function of a requesta lateral damping (LD) modulation signalsent from a control system.
[0091] The lower left figure shows the lateral tower top force as a function of rotor azimuth position.
[0092] The lower right figure shows the lateral tower top force as a function of time.
[0093] More particularly, the polar plot in the upper left corner shows that a force applied on the tower from the blades due to pitching according to the signal corresponding to the precursor signal does is horizontal. However, as can be seen in the remaining three figures, a lag (caused by time delay and/or phase shift) will start reducing the damping effect or even enhance it. For example, for a certain lag, which in the present example is 2.87 seconds, the force applied on the tower from the blades due to said pitching works exactly opposite the direction, which corresponds to viscous damping.
[0094] In order to take the lag into account, a phase adjustment may be introduced.
[0095]
[0096] It may be noted, that a phase adjustment may nevertheless be advantageous if the amplitude of the second periodic component is zero or relatively small with respect to respect to the amplitude of the first periodic component.
[0097]
[0098] Thus, having only the first periodic component allows finding the rotor (azimuth) phase offset to be used for compensating time delays and/or phase shifts in a control loop.
[0099] It may be noted that the lower left sub-figure in
[0100]
[0101] In an embodiment, the second amplitude depends on an available power, such as a hydraulic pressure in case a force for pitching is provided via a hydraulic pitch force system. An advantage of this may be, that when power is sufficient, a larger second amplitude can be afforded, whereas when less power is available, power is released by having a smaller second amplitude thereby saving the power which should otherwise have been used for pitching at a relatively high frequency. Another possible advantage is that stress on the pumps can be reduced while still damping the side-side tower motion.
[0102] In an embodiment, the method 210 further comprises: [0103] Determining 212, such as determining via a sensor, such as a accelerometer: [0104] A tower frequency (f.sub.tow) of the oscillation of the tower, and [0105] a rotor frequency (f.sub.1P) of a rotation of the rotor.
[0106] In an embodiment, the method 210 further comprises: [0107] Determining 214, such as determining via a sensor such as an accelerometer and/or a sensor for giving rotor angular position: [0108] A tower phase (?.sub.tow) of the oscillation of the tower, and [0109] a rotor phase (?.sub.1P) of a rotation of the rotor.
[0110] The oscillation of the tower may in general be, or is, a horizontal oscillation in a plane of the rotor.
[0111] Although the present invention has been described in connection with the specified embodiments, it should not be construed as being in any way limited to 5 the presented examples. The scope of the present invention is set out by the accompanying claim set. In the context of the claims, the terms comprising or comprises do not exclude other possible elements or steps. Also, the mentioning of references such as a or an etc. should not be construed as excluding a plurality. The use of reference signs in the claims with respect to elements 10 indicated in the figures shall also not be construed as limiting the scope of the invention. Furthermore, individual features mentioned in different claims, may possibly be advantageously combined, and the mentioning of these features in different claims does not exclude that a combination of features is not possible and advantageous.