The present invention relates to a vertical axis wind turbine, and more particularly, to a vertical axis wind turbine including rotatable blades adapted to optimize the blade's lift-to-drag ratio.
With the increasing costs and decreasing availability of fuels typically used to produce power, wind turbines are being implemented in greater numbers. Wind turbines typically operate by using the kinetic energy of air flow across a propeller to cause the propeller to rotate. The propeller produces electricity using an electric generator.
Wind turbines typically fall into two categories, horizontal-axis wind turbines (HAWTs) and vertical-axis wind turbines (VAWTs). As the name implies, the shaft of the HAWTs are oriented horizontally and downstream from the blades. HAWTs have received great success; however, they suffer from a number of drawbacks. The HAWTs must be mounted at the top of a tower along with the electrical generator. Therefore, their height makes them difficult to install and maintain and makes them visible from great distances, which often causes local resistance to their installation. In addition, the blades of the HAWT must be pointed in the wind stream to operate effectively. Therefore, many HAWT require either an additional vein or a mechanical controller to reposition the orientation of the blades. Typically, the blades are very large and thus, repositioning the blade orientation can require a significant amount of energy. Furthermore, HAWTs can often suffer from structural failure caused by turbulence because the blades are generally installed upstream from the tower.
VAWTs are arranged with the main rotor shaft vertically oriented. One of the main advantages of the VAWTs is that they do not need to be pointed into the wind to generate power. This provides a great advantage over the HAWTs. In addition to their shaft orientation, VAWTs can be further categorized as those that use drag to produce rotation and those that use lift to produce rotation. One drawback to the use of VAWTs in the past is that the drag created when the blades rotate into the wind can be excessive and thus, reduce the power output of the turbine. Prior art approaches, such as the approach disclosed in U.S. Pat. No. 7,385,302 have attempted to overcome the drawbacks associated with VAWTs by allowing the turbine blades to rotate in an orientation such that a portion of the drag is used to rotate the shaft. Although this reliance on drag may produce a higher torque, it lowers the power output by making the shaft rotate at a speed that is less than or equal to the wind speed.
The present invention provides a VAWT that optimizes the lift-to-drag ratio by allowing the blades to pivot so that the blade will assume the most efficient angle of attack at each point as the blades rotate about the shaft. The angle of attack can be controlled by placing the pivot point at the blade's neutral point and using high lift devices coupled to the blades to generate lift.
A vertical axis wind turbine is provided according to an embodiment of the invention. The vertical axis wind turbine comprises a rotatable shaft and one or more arms coupled to and extending from the rotatable shaft. The vertical axis wind turbine further comprises one or more blades coupled to the one or more arms. One or more high lift devices are coupled to each of the one or more blades. The high lift devices are adapted to generate lift in a desired direction.
A vertical axis wind turbine is provided according to an embodiment of the invention. The vertical axis wind turbine comprises a rotatable shaft and one or more arms coupled to and extending from the rotatable shaft. One or more blades are coupled to the one or more arms at a neutral point of the blade such that the blade may freely rotate to achieve an angle of attack associated with a desired lift-to-drag ratio.
A method for operating a vertical axis wind turbine is provided according to an embodiment of the invention. The vertical axis wind turbine includes a rotatable shaft, one or more arms coupled to the rotatable shaft, and one or more blades coupled to the one or more arms. The method comprises the steps of determining a desired lift-to-drag ratio for the blades and adjusting one or more high lift device coupled to the one or more blades to generate lift in a desired direction.
Preferably, the one or more blades are rotatably coupled to the one or more arms.
Preferably, the one or more blades are coupled to the arms at a neutral point of the blade such that the blade may freely rotate to assume an angle of attack associated with the desired lift-to-drag ratio of the blade.
Preferably, the vertical axis wind turbine further comprises one or more damping members coupled to the one or more blades.
Preferably, the high lift device is configured to adjust an amount of deflection depending on the angle of the arm with respect to a free wind stream.
Preferably, the vertical axis wind turbine further comprises one or more high lift devices coupled to each of the one or more blades, wherein the high lift devices are adapted to control the desired lift-to-drag ratio of the blade.
Preferably, the vertical axis wind turbine further comprises one or more damping members coupled to the one or more blades.
Preferably, the high lift devices are configured to adjust an angle of deflection depending on the angle of the arm with respect the rotatable shaft.
Preferably, the method further comprises the steps of calculating an angle between a resolved wind velocity vector and a tangential wind velocity vector for the desired lift-to-drag ratio and adjusting the high lift devices based on the angle.
Preferably, the one or more blades are rotatably coupled to the one or more arms.
Preferably, the method further comprises the steps of calculating a neutral pivot point on the blade and coupling the blade to the arm at the neutral pivot point.
According to an embodiment of the invention, the shaft 101 rotates about a vertical axis 104. According to an embodiment of the invention, the vertical axis of rotation 104 may comprise an axis perpendicular to the ground or surface to which the shaft 101 is mounted. The shaft 101 can rotate in response to kinetic energy in the form of wind acting on the blades 103. The rotating shaft 101 which can be connected to an electrical generator, can produce electricity as is known in the art.
According to an embodiment of the invention, the blades 103 comprise symmetrically shaped airfoils. According to another embodiment of the invention, the blades 103 comprise symmetric airfoils with a “tear drop” cross sectional shape. The tear drop cross sectional shape is particularly advantageous as it minimizes drag. This is useful in embodiments where the blades 103 are rotated using lift rather than drag as excessive drag may impede the efficiency of the wind turbine 100. It should be understood that the blades 103 may comprise a cross sectional shape other than a tear drop that is designed to minimize drag. According to an embodiment of the invention, the blades 103 are rotatably coupled to the arms 102, such that the blades 103 may rotate freely about an axis parallel to the shaft's axis of rotation 104. The blades 103 may be coupled to the arms 102 by any manner of hinge, pin, bearing member, etc. According to another embodiment of the invention, the blades 103 may be fixedly attached to the arms 102. However, fixedly attaching the blades 103 can seriously reduce the efficiency of the VAWT 100 as discussed below.
According to an embodiment of the invention, the high lift device 210 is mechanically controlled. The deflection of the high lift device 210 may be controlled by a micro-controller (not shown), for example. Other means of controlling the high lift device 210 are contemplated and the specific method for controlling the high lift device 210 should not limit the scope of the invention. According to an embodiment of the invention, the high lift devices 210 are controlled such that the high lift devices 210 coupled to the blades 103 on the upstream side are oriented in a direction opposite from the high lift devices 210 coupled to the blades 103 on the downstream side. This can be seen in
As shown, three wind velocity vectors are shown in
There are also three angles shown in
As mentioned above, in order to maintain rotation of the blades 103, L*sin θn should be greater than D*Cos θn, or in other words, the lift-to-drag ratio should be greater than Cot θn averaged over one revolution. In order to maintain rotation, the high lift device 210 should be deflected in opposite directions on the upstream side and the downstream side of the shaft 101. On the right side of the Y-axis, the resolved velocity vector, Vr, will be on the inboard side of the tangential velocity vector, Vt, designated positive θn, while on the left side of the Y-axis, the resolved velocity vector, Vr, will be on the outboard side of the tangential velocity vector, Vt, designated negative θn. When θn is positive, the high lift device 210 should be deflected in an inward direction producing lift that causes the blade 103 to travel in the positive Y-direction. Conversely, when θn is negative, the high lift device 210 should be deflected in the outward direction, producing a lift that causes the blade 103 to travel in the negative Y-direction. This maintains a counter-clockwise rotation of the arms 102 about the vertical shaft 101. It should be appreciated that deflecting the high lift device 210 in the opposite direction causes the arms 102 to rotate in a clockwise direction. According to an embodiment of the invention, the high lift devices 210 are provided to maintain the desired rotation as described in more detail below. With an understanding of the wind velocity vectors, attention is turned to
F
t
=L sin θn−D cos θn (1)
F
r
=L cos θn+D sin θn (2)
90°=θ+θn+θr (3)
Where:
Additionally, by
Sin θr=(Vt/Vr)cos θ (4)
Cos θr=((V∞+Vt)Sin θ)/Vr (5)
Using trigonometric identities for Sin(A+B) and Cos(A+B) along with equations 3-5, the following relationships can be derived:
Sin θn=(V∞/Vr)Cos θ (6)
Cos θn=(Vt+V∞ Sin θ)/Vr (7)
In addition, from general aerodynamic theory:
L=C
L½ρV2S (8)
D=C
D½ρV2S (9)
Where:
All of the variables mentioned above may be calculated, measured in the field, or obtained from lookup tables, for example.
Substituting equations 6-9 into equations 1 & 2 gives:
F
t=½ρVrS(CLV∞ Cos θ−CD(Vt+V∞ Sin θ)) (10)
F
r=½ρVrS(CL(V∞+Vt sin θ)+CDV∞ Cos θ) (11)
Therefore, the tangential and radial force vectors can be described in terms of the wind characteristics as experienced by the blades 103.
According to an embodiment of the invention, the blade 103 is coupled to the arm 102 at the neutral point, NP. The neutral point, NP, is defined as the point where the blade's pitching moment, M, is approximately zero. For a symmetrically shaped blade 103 without a high lift device 210, the neutral point will generally be at the quarter chord point, C/4. However, for a symmetrically shaped blade 103 with the high lift device 210 deflected, the neutral point, NP, will be aft of the quarter chord point, C/4. According to an embodiment of the invention, the neutral point's location will be a function of the angle of attack, α, for a given blade 103 having an actuated high lift device 210.
According to an embodiment of the invention, to determine the location of the neutral point, NP, the moments about a point on the blade 103 are summed and set equal to zero. According to one embodiment of the invention, the point on the blade 103 can be the leading edge, for example. A resultant vector equal to the magnitude of the lift, L, and in the opposite direction is placed at the neutral point, NP, and the angle of attack, α, is assumed to be small so that Sin α is approximately equal to zero and Cos α is approximately equal to 1. Based on these assumptions, the following equation can be derived:
Σ MLE=0=MC/4−0.25 C*L+XNP*L (12)
Where:
M
C/4
=C
MC/4½ρV2SC (13)
Combining equations 12 & 13 gives:
0=½ρV2S(C*CMC/4−0.25 C*CL+XNP*CL) (14)
Equation 14 can be rearranged to solve for XNP giving:
X
NP
=C(0.25*CL−CMC/4)/CL (15)
Equation 15 can be solved with data for the particular airfoil used for the blade 103 at the angle of attack, α, that has the optimum lift-to-drag ratio. For example, if the coefficient of lift, CL, at the optimum lift-to-drag ratio is approximately 1.0 and the pitching moment coefficient, CMC/4, is approximately −0.1, both of which are reasonable, the neutral point will be at 0.35 C or at 35% of the chord. The optimal location of the neutral point, NP, can be further determined with field testing since the equation derived above only gives an approximate location. According to an embodiment of the invention, this is where the blade 103 is coupled to the arm 102. In other words, the blade 103 can be coupled to the arm 102 such that the blade 103 is able to freely rotate and align itself at an angle of attack such that the lift-to-drag ratio is maximized. The blade 103 can rotate as Vr changes direction as the arm 102 rotates about the vertical axis 104 when the high lift device 210 is deflected by a predetermined amount. It should be understood that the neutral point, NP, will depend on the particular values used in the above equations and therefore may vary from the calculated position described above. The values used may vary for any number of reasons and therefore, the particular values should be based on the specific blades and conditions experienced in the environment. Therefore, the present invention should not be limited to the values provided above as these are merely examples used to aid in the understanding of the invention. In addition, as mentioned above, the optimum lift-to-drag ratio may vary from one combination of blade and high lift device to another. Therefore, the optimum lift-to-drag ratio should not limit the scope of the invention.
As can be seen, when θ is between approximately 0° and 60° and again between approximately 300° and 350°, CL is assigned a value of 1.00 and CD is assigned a value of 0.05. These values result in a lift-to-drag ratio of 20:1. Again, the particular values used may vary and may require in the field testing for determining the precise values corresponding to the particular VAWT 100. When θ is between approximately 120° and 240°, θn is negative and CL is assigned the value of approximately −1.00 according to the discussion above and CD is assigned a value of 0.05. When θ is around 90° and 270°, CL is given the value 0.00 and CD is given a value of 0.005. According to an embodiment of the invention, the high lift device 210 is not deflected during this period.
Using the values mentioned above and shown in
The embodiments described above provide a vertical axis wind turbine 100 that is capable of providing an optimum lift-to-drag ratio regardless of the blade orientation with respect to a rotatable shaft 101. Unlike prior art VAWTs, which rely upon external veins, which sense the wind at an infinite distance from the blades, to operate, the VAWT 100 of the present invention operates using lift and allows the blades 103 to orient themselves based on flow conditions at the point of rotation and the wind actually sensed by the blades 103. Each of the blades 103 can be provided with a high lift device 210 adapted to increase the lift of the blade 103. By adjusting the angle of deflection of the high lift device 210, the blade 103 can be configured such that lift is generated in the proper direction based on knowing the sign and magnitude of θn. Therefore, the blade 103 does not require an external vein, which orients the blades 103 based on V∞, as required in the prior art. Rather, the blade 103 pivots based on Vr, the wind the blade experiences which changes from point to point in the rotation.
In addition, the VAWT 100 of the present invention couples the blades 103 to the arms 102 at a position that allows the blades 103 to freely rotate. This neutral point, NP, is chosen such that the moment at the pivot point is approximately zero. The neutral point, NP, can be chosen based on an optimum lift-to-drag ratio. This is in contrast to the prior art design which chooses the pivot point of the blades at an arbitrary position.
Another advantage of the present invention is the shape of the blades 103. The shape of the blades 103 are chosen such that drag is minimized. According to an embodiment of the invention, the blades 103 comprise a symmetrical tear drop cross sectional shape. The tear drop shape reduces drag as wind flows around the blades 103. Therefore, the efficiency of the turbine of the present invention is increased even further.
The detailed descriptions of the above embodiments are not exhaustive descriptions of all embodiments contemplated by the inventors to be within the scope of the invention. Indeed, persons skilled in the art will recognize that certain elements of the above-described embodiments may variously be combined or eliminated to create further embodiments, and such further embodiments fall within the scope and teachings of the invention. It will also be apparent to those of ordinary skill in the art that the above-described embodiments may be combined in whole or in part to create additional embodiments within the scope and teachings of the invention.
Thus, although specific embodiments of, and examples for, the invention are described herein for illustrative purposes, various equivalent modifications are possible within the scope of the invention, as those skilled in the relevant art will recognize. The teachings provided herein can be applied to other wind turbines, and not just to the embodiments described above and shown in the accompanying figures. Accordingly, the scope of the invention should be determined from the following claims.
This application claims priority from U.S. Provisional Patent Application No. 61/092,107, filed Aug. 27, 2008, entitled “Vertical Axis Wind Turbine”, the contents of which are incorporated herein by reference.
Number | Date | Country | |
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61092107 | Aug 2008 | US |