The following relates to a structural member that initially exhibits a certain resistance to deflection resulting from bending, and then exhibits an increased resistance to further deflection. In particular, the following relates to a wind turbine blade that includes the structural member.
Wind turbine variable speed operation and low-solidity rotors (driven by mass-constraints) lead to overlaps between exciting frequencies (and their harmonics) and blade resonant frequencies. Operational constraints are employed to avoid the overlapping frequencies, but this reduces annual energy production.
Blade design includes stiffness requirements that limit deflection under extreme loads to meet material ultimate strain and tower clearance parameters. To avoid the overlap while meeting stiffness requirements, stiff, heavy designs have been pursued to get ‘above’ exciting frequencies while maintaining flapwise stiffness for extreme events. Alternately, additional mass has been added to get below exciting frequencies while maintaining flapwise stiffness. However, limiting flapwise deflection can result in increased fatigue loading. Consequently, various active and passive control methods have been proposed to reduce aerodynamic fatigue loads and extreme loads. Nonetheless, there remains room in the art for reducing fatigue loading while meeting material ultimate strain and tower clearance requirements.
Some of the embodiments will be described in detail, with references to the following Figures, wherein like designations denote like members, wherein:
The present inventors have devised a unique and innovative structural member that initially provides a certain resistance to deflection, and then exhibits an increased resistance to further deflection. The structural member can be incorporated into a wind turbine blade to provide this deflection-dependent stiffness in response to flap deflection and/or edge deflection.
The rigid ties 44 can withstand tensile and compressive forces experienced during blade operation to ensure the first stringer 40 and the second stringer 42 maintain separation from each other. This ensures that the pressure side 20 and/or the suction side 22 of the wind turbine blade 12 do not deform relative to each other during operation, particularly if the wind turbine blade 12 experiences flap deflection in a first direction 48 and in a second direction 50.
In the example embodiment shown, the rigid ties 44 are pivotally secured to the first stringer 40 and also pivotally secured to the second stringer 42 at respective first pivoting support locations 60 and second pivoting support locations 62. As illustrated in
Tension ties 46 include first tension ties 70 that resist deflection in the first direction 48 and second tension ties 72 that resist deflection in a second direction 50. The tension ties 46 provide tensile force during deflection. A tension tie 46 may be a single component (e.g. a cable) or it may be an assembly of components.
As is shown in
This tensioning of the tension ties 46 engages the longitudinal stiffness of the stringers to resist the bending deformation, thereby resisting the deflection in the first direction 48. For example, for the deflection shown in
In an alternate example embodiment, the tension ties 46 are not characterized by a stiffness that is relatively very high (e.g. theoretically infinite) when compared to the longitudinal stiffness of the stringers 40, 42. In this alternate example embodiment the tension in the tension ties 46 causes the tension ties 46 to elongate, and this contributes to the stiffness response of the structural member 10. In such an alternate example embodiment, during flap deflection the stringers 40, 42 would experience tensile and compressive deformation, and the tension ties 46 would also experience non negligible tensile elongation. When compared to the example embodiment where the tension ties 46 are theoretically infinitely stiff, this alternate example embodiment would be less stiff. Discussion herein primarily addresses the embodiment having theoretically infinitely stiff tension ties 46, but alternate embodiments with non-infinitely stiff tension ties 46 are considered to be within the scope of the disclosure.
Likewise, like all second tension ties 72, a representative second tension tie 90 is secured to the first stringer 40 at a first stringer location 92, and to the second stringer 42 at a second stringer location 94. A distance 96 between the first stringer location 92 and the second stringer location 94 increases as the wind turbine blade 12 experiences deflection from the undeflected state 14 and in the second direction 50. This is a lateral displacement between the stringers 40, 42 in the opposite direction that is usually inhibited by the relatively heavy spar web in the conventional spar assembly. Like all second tension ties 72, the representative second tension tie 90 resists this increase in distance 96, which engages the longitudinal stiffness of the stringers to resist the bending deformation in the second direction 50.
During deflection in the first direction 48, distance 86 increases but distance 96 decreases. Conversely, during deflection in the second direction 50, distance 86 decreases but distance 96 increases.
Unlike a conventional truss, the structural member 10 disclosed herein is configured to provide increasing resistance to deflection, and to increase the resistance in a nonlinear way. That is to say, the structural member 10 constrains the horizontal (as shown in
A tensile tie response curve is a plot of an amount of elongation of the tension ties 46 along an X-axis (elongation increasing to the right) and the resistance force generated by the tension ties 46 along the Y-axis (force increasing in the upward direction). The tensile tie response curve describes the force response of the tensile tie from the onset of tension. The tensile tie response curve (i.e. the tensile tie response) may or may not be linear. As used herein, linear means a single, straight line, e.g. a line having a single, constant slope throughout its entirety.
Stated another way, an elastic modulus of the tensile tie may be linear or nonlinear. The elastic modulus is a ratio of tensile stress to tensile strain. It measures the amount of additional force required to produce an additional unit of elongation. When the elastic modulus is linear, each additional unit of force elongates the tensile tie by a same amount as did a previous unit of additional force. When the elastic modulus is nonlinear and increases, an additional unit of force elongates the tensile tie by a lesser amount than did a previous additional unit of force. Conversely, when the elastic modulus is nonlinear and decreasing, an additional unit of force elongates the tensile tie by a greater amount than did a previous additional unit of force.
A structural member response curve is a plot of an amount of deflection/bending of the structural member along an X-axis (deflection/bending increasing to the right) and a resistance force generated by the structural member along the Y-axis (force increasing in the upward direction). The structural member response curve (i.e. the structural member response) describes the force response of the structural member from the undeflected state 14. The structural member response curve may include linear portions, but is nonlinear in that it is characterized by a slope that increases at one or more points. In an embodiment, the increase is abrupt, such as occurs when a cable transitions from being slack to being tensioned.
Stated another way, an elastic modulus of the structural member (the stiffness) increases at some point such that additional force results in less additional deflection. The increase may be abrupt.
When the structural member is disposed within a wind turbine blade, a wind turbine blade response to deflection is tied to the structural member response. The responses are not necessarily identical because the wind turbine blade includes its own structure, e.g. the blade skin, which contributes to the resistance to deflection. However, with respect to deflection, the structural member is the dominant structural member.
In some embodiments, the tension ties 46 offer no resistance to deflection up to a threshold amount of deflection. In other embodiments, the tension ties 46 offer the resistance force up to the threshold amount of deflection.
Embodiments where no initial resistance is encountered may include tension ties 46 that are slack when the structural member 10 is in the undeflected state 14 and which remain slack until the threshold amount of deflection is reached, upon which the ties 44 tension and provide a tie resistance force. Upon further deflection, the tension ties 46 act as rigid members because their stiffness is high compared to the applied shear force. This transfers the shear load of the tension ties 46 to the stringers 40, 42 as a longitudinal load. Example tension ties 46 could include ropes, cables, chains, straps etc. made from any material that may elastically deform in response to the expected tensile loads, but does not plastically deform. In this embodiment, the structural member response is flat (i.e. the structural member has a constant stiffness) until the threshold deflection is reached and the tension ties 46 are tensioned, at which point the tension tie response increases abruptly and the structural member responds at an increased stiffness.
Alternately, embodiments that provide an initial tie resistance force up to the threshold amount of deflection may include, for example, a damper (e.g. viscous or coulomb) that generates a certain tie resistance force for deflection up to the threshold amount, and a mechanical stop that prevents further elongation of the damper there after. For deflections up to the threshold amount, the tensile tie response would be governed by a resistance response of the damper. After the threshold deflection is reached, meaning that the stop has been reached, other structure of the tension ties 46 (e.g. rope, cable, piston shaft, or other structural member) would bear the tensile load. Once tensioned, the other structure would shift the shear load to the stringers, which would bear it as respective longitudinal loads as disclosed above. Accordingly, in this embodiment, the structural member response initially includes the resistance response of the damper. It should be noted that the damper may also transmit compressive forces and correspondingly affect the structural member response during deflections in the second direction 50.
The structural member response could also include a step increase. As used herein, a step increase is an increase in the resisting stiffness without an associated increase in the amount of deflection. In an embodiment having a step increase, active control could be utilized. For example, a sensor could detect the magnitude of deflection and activate a resistance mechanism when the threshold amount of deflection is reached. The resistance mechanism may be a clamp, magnetic devise, winch etc. that resists further separation between e.g. the first stringer location 82 and the second stringer location 84. The resistance mechanism can be characterized as an instant-on mechanism in that once the threshold amount of deflection is reached, the resisting stiffness instantly appears at a given amount of deflection. This is in contrast to embodiments where the tension tie 46 is, for example, a cable, and where the resisting stiffness transitions smoothly, albeit quickly, once the tension ties 46 tension.
A member resistance force generated by the structural member includes the initial stringer bending resistance force generated by the stringers upon deflection up to the point where the tension ties 46 are engaged, plus the member bending resistance associated with compression and tension resisting forces generated by the stringers 40, 42 for further deflections subsequent to the tensioning of the ties. Accordingly, when the tensile ties 46 are slack, the structural member 10 still resists deflection via the stringer resistance force. In embodiments with a damper, the damper resistance force also contributes to the member resistance force up to the point where the tension ties 46 are tensioned. The damper dissipates energy during dynamic changes to deflection.
The structural member 10 described above will initially provide relatively reduced resistance to bending up to a certain threshold. Once this threshold is met, further deflection will be met with a disproportional increase in resistance. When used in a wind turbine blade, this permits the wind turbine blade 12 to deflect relatively readily at lower loads, which reduced stress and increases fatigue life. This also enables the blade to stiffen up once the threshold amount of deflection has been reached, which ensures the blade does not strike the tower and/or exceed the blade material's ultimate strain requirement.
Alternately, the tension tie 46 may be in tension before any deflection, and the tension may increase during the lateral displacement, such as happens when one tension tie 46 includes two tension members of different lengths, such as two cables of different lengths. The second of the two cables may be slack prior to any deflection.
The skin of the wind turbine blade must be designed to accommodate the required shear deformation when the structural member 10 is used. For example, a flexible skin could be used, or shear displacement between upper and lower shell parts at the leading and trailing edges could be permitted.
Since the first tension ties 70 have been slack up to this point, the only resistance to the deflection/bending has been provided by the stringers 40, 42. The two spar-caps deform as individual bending members without net tensile or compressive stringer forces. Accordingly, for deflections up to the threshold deflected state 100, a member bending stiffness (EI)member and an associated member resisting force can be calculated by the equation (which assumes identical stringers):
(EI)member=2*E*I_c
Where E is the longitudinal modulus of elasticity of a stringer, and I_c is the area moment of inertia of the stringer cross section relative its respective longitudinal elastic axis 102. A face line 106 is a line that is perpendicular to a centerline 108 of the structural member 10 at a selected location. A deflection angle 110 is a measure of an angle between a deflected face line 112 and an undeflected face line 114. The threshold deflection value “S” of the deflection angle 110 is a value at which the slack is removed from the tension ties 46. Deflection angle values up to the threshold deflection value may be considered soft deflection.
(EI)member=2*E*I_c+2*E*A_c*(d/2)2
Where E is the longitudinal modulus of elasticity of a stringer, I_c is the area moment of inertia of the stringer cross section relative its respective longitudinal elastic axis 102, A_c is a cross-sectional area of each stringer, and d is the vertical distance between the longitudinal elastic axis of the two stringers.
It can be seen that once tensioned, the presence of the first tension ties 70 causes an abrupt increase in the structural member bending stiffness, thereby resisting any further deflection.
The same principle applies for deflections in the second direction 50.
The embodiments described in
The tension ties 46 need not all tension at the same amount of deflection. Instead, different tension ties 46 may tension before or after others. Additionally, some ties may be simple tension-only members, while others may include dampers, or combinations of tension-only members connected in series with dampers etc. Further, a tension tie 46 may optionally be a tension and compression tie. Such a tie could be disposed between, for example, the first location 60 and second location 62, and would resist a decreasing distance 86 when the first location 60 and second location 62 approach each other as occurs in the further deflected state 130 of
The spar assembly 140 includes a first spar cap 170 that incorporates the first stringer 172, and a second spar cap 174 that incorporates the second stringer 176. The first spar cap 170 may have a uniform construction along its entire length, or its construction may vary to accommodate the first stringer 172. Likewise, the second spar cap 174 may have a uniform construction along its entire length, or its construction may vary to accommodate the second stringer 176. Towards the base 148 the first spar cap 170 and the second spar cap 174 are joined by a conventional spar web 180. Toward the tip 150 the first spar cap 170 and the second spar cap 174 are separated by the rigid tie 182 and the tension tie 184. Accordingly, the portion of the wind turbine blade 142 having the conventional spar web 180 responds in the conventional manner, while the portion of the wind turbine blade 142 toward the tip 150 having the structural member 162 responds in accord with the characteristics of the structural member 162 as disclosed above.
In the embodiment shown, the tension tie 184 includes a damper 186 having positive stops 188, 190 and a piston 192. During deflection in the first direction 152 the piston 192 moves toward the positive stop 188. Upon reaching the positive stop 188 the wind turbine blade 142 reaches the threshold deflection state. Further deflection would be resisted by the longitudinal stiffness of the spar caps 170, 174 as detailed above.
The amount of unrestrained change in length of the spar cap 229 is limited by the bushings 304. A distance 320 between the bushings 304 is greater than a length 322 of the sleeve 306 when the wind turbine blade 290 is in an undeflected state 310. If the stiffening element 300 is free floating, as the spar cap 292 expands, so does the sleeve 306. This continues until a threshold amount of expansion where a length 322 of the expanded sleeve 306 equals the distance 320 between the bushings 304. Further deflection then requires moving the bushings 304 apart, which, in turn, requires the stiffening element 300 to expand. Therefore, initial expansion of the spar cap 292 is resisted solely by the material characteristics of the spar cap 292 alone up to the threshold amount of expansion, after which the resistance of the stiffening member 300 is added, which amounts to a nonlinear response of the wind turbine blade 290.
If the stiffening element 300 is point secured at, for example, a base 330 (not visible) of the wind turbine blade 290, then expansion of the wind turbine blade 290 moves the sleeves 306 (to the right in
The same principle applies in compression when the stiffening element 300 is point-secured. For example, a compressing spar cap 292 may move the sleeves 306 toward the base 330 (to the right in
The threshold amount of expansion/compression/deflection may be selected by selecting appropriate gaps 312, 316. As with any of the concepts presented herein, these parameters may be uniform, or may be tailored for local conditions. For example, the gaps 312, 316 may be selected to permit more or less expansion and contraction at the base 330 than at a tip of the blade etc. In addition, tension-only or compression only stiffening may be achieved by alternating gap sizes.
While an abrupt change in stiffness is achieved with the structural member 296 disclosed above, a progressive change in stiffness and/or damping can be achieved with elastic or viscoelastic spacers or sheeting between stiffening element 300 and the sleeves 306. Filling a space 332 between stiffening element 300 and the sleeves 306 with a viscous fluid can also be used to achieve damping. The stiffening element 300 and the sleeves 306 may be preassembled into an airtight unit using assembly bushings 334 that ensure the precise ratio between gap-widths and load-transfer bushing length via countersunk seats for the conduits. These units can be layed up into the dry roofing or fabric material of the surrounding beam cap material in an infusion manufacture process.
A spar stub 342 protrudes from the tip 344 of the wind turbine blade 346 toward the base 348 in the interior 350 of the wind turbine blade 346. Deflection of the tip 344 in the first direction 360 moves a contact 362 on the spar stub 342 toward a first stop 364. Upon reaching a threshold amount of deflection the contact 362 abuts the first stop 364. Further deflection of the tip 344 requires the spar stub 342 to also deflect/bend. Likewise, deflection of the tip 344 in the second direction 366 moves the contact 362 toward a second stop 368. Upon reaching a threshold amount of deflection the contact 362 abuts the second stop 368. Further deflection of the tip 344 again requires the spar stub 342 to also deflect/bend. As such, deflection up to the threshold amount is resisted by the wind turbine blade 346, and further deflection is further resisted by the spar stub 342. This amounts to a nonlinear response of the wind turbine blade 346. Such an embodiment may be conveniently integrated in a joint of a modular blade.
Centrifugal and aero forces are reacted by cables 382 connect to a respective spar 384, e.g. connected to the spar web 386 of a respective wind turbine blade 388 at approximately twenty-five percent (25%) chord. Connecting cables 390 may also connect adjacent blades to each other. Cables 382 converge at a hub 400 via, for example, a pulley arrangement in a manner that avoids bending loads on a hub extender 402 to which the cables 382 are secured. The hub extender 402 may include a post-tensioning actuator and/or damper that can unload the cables 382 for pitch-to-feather and load them for unfeathered operation in the variable-speed region. The cables 382 may be connected to the spar 384 through lugs connected to the spar web 386, which allows each cable 382 to rotate in the lug during pitching. The hub extender 402 may include damping elements and may tension only after a predetermined amount of blade deflection in a first direction 404 away from the cables 382 and toward a tower (not shown). Accordingly, deflection of the wind turbine blade 388 is resisted only by the wind turbine blade 388 itself until the threshold amount of deflection is reached, after which additional deflection is also resisted by the cables 382. This amounts to a nonlinear response of the wind turbine blade 388.
Although the invention has been illustrated and described in greater detail with reference to the preferred exemplary embodiment, the invention is not limited to the examples disclosed, and further variations can be inferred by a person skilled in the art, without departing from the scope of protection of the invention.
For the sake of clarity, it is to be understood that the use of “a” or “an” throughout this application does not exclude a plurality, and “comprising” does not exclude other steps or elements.
This application claims priority to PCT Application No. PCT/US2016/067982, having a filing date of Dec. 21, 2016, the entire contents of which are hereby incorporated by reference.
Filing Document | Filing Date | Country | Kind |
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PCT/US2016/067982 | 12/21/2016 | WO | 00 |