The present invention relates to turbine buckets having an airfoil and a tip shroud carried by the airfoil and particularly relates to leading and trailing edge profiles of a tip shroud carried by an airfoil of a turbine bucket.
Buckets for turbines typically comprise an airfoil, a platform, a shank and dovetail. The dovetail is secured in a complementary slot in a turbine wheel. Oftentimes, the airfoil includes an integrally formed tip shroud. The bucket including the airfoil and tip shroud are, of course, rotatable about the engine centerline during operation and the airfoil and the tip shroud are located in the hot gas path. Because the tip shroud is mounted at the tip of the airfoil, substantial stresses occur in the tip shroud fillet region between the tip shroud and the airfoil tip. Particularly, a significant difference in fillet stresses occurs between pressure and suction sides of the airfoil at its intersection with the tip shroud because of tip shroud mass imbalance relative to the airfoil. This mass imbalance negatively impacts the creep life of the bucket. That is, the tip shroud mass distribution in prior buckets resulted in a highly loaded tip shroud fillet and reduced creep life. Further, certain prior tip shrouds do not cover the airfoil throat, with resultant negative impact on stage efficiency due to flow leakage over the tip shroud.
In accordance with a preferred embodiment of the present invention, there is provided a bucket tip shroud having leading and trailing edge profiles for optimizing tip shroud mass distribution to balance tip shroud fillet stresses, thereby maximizing creep life and also ensuring coverage of the airfoil throat to improve stage efficiency. Particularly, the leading edge of the tip shroud, i.e., the edge generally facing axially upstream in the hot gas path of the turbine, has a predetermined profile substantially in accordance with X and Y coordinate values in a Cartesian coordinate system at points 1-7 set forth in Table I, which follows, where X and Y are distances in inches from an origin. When points 1-7 are connected by smooth, continuing arcs, the points define the leading edge tip shroud profile. Similarly, the tip shroud trailing edge has a predetermined profile substantially in accordance with X and Y values of the coordinate system at points 8-15 set forth in Table I, wherein X and Y are distances in inches from the origin. When points 8-15 are connected by smooth, continuing arcs, these points define the trailing edge tip shroud profile.
Further, the leading and trailing edge profiles are defined with reference to the airfoil profile, e.g., at 92% span. By referencing the tip shroud profile edges and the airfoil to one another, tip shroud creep life is maximized and improved stage efficiency is provided. Particularly, the bucket airfoil has an airfoil profile, e.g., at 92% span radially inwardly of the fillet region at the intersection of the tip shroud and the tip of the airfoil. This airfoil profile section at 92% span is defined, in accordance with X, Y and Z coordinate values set forth in Table II, which follows, wherein the X and Y coordinate values of Table II are in inches and have the same origin as the X, Y coordinate values of Table I. The Z value is set forth in Table II in non-dimensional form at 0.92 span. To convert the Z value to a Z coordinate value, e.g., in inches, the non-dimensional Z value given in Table II is multiplied by the height of the airfoil. A datum U is established as defined below. Z=O is located 2.221 inches along a radius from datum U and 26.321 inches from the rotor centerline. Z=1.00 is located 11.122 inches along the radius from datum U. Z=0.92 is 10.410 inches from datum U. Hence, the mass distribution of the tip shroud defined by the leading and trailing edge profiles in Table I are located relative to the airfoil, e.g., at 92% span. The reference to the airfoil in order to define the tip shroud edge profiles pans other than 92% span.
It will also be appreciated that as the airfoil section and tip shroud heats up in use, the leading and trailing edge profiles of the tip shrouds will change as a result of stress and temperature. Thus, the cold or room temperature profile for the tip shroud is given by the X and Y coordinates for manufacturing purposes. Because a manufactured tip shroud may be different from the nominal tip shroud profile given by Table I, a distance of ±0.160 inches from the nominal profile at each of the leading and trailing edges in a direction normal to any surface location along the nominal profile and which includes any coating, defines a leading and trailing edge profile envelope for the tip shroud. The tip shroud is robust to this variation without impairment of mechanical and aerodynamic functions.
It will also be appreciated that the tip shroud and its attached airfoil section can be scaled up or scaled down geometrically for introduction into similar turbine designs. Consequently, the X and Y coordinates in inches of the nominal tip shroud profile for the leading and trailing edge given below in Table I may be a function of the same number. That is, the X, Y coordinate values in inches may be multiplied or divided by the same number to provide a scaled-up or scaled-down version of the tip shroud profile while retaining the profile shape. The airfoil likewise can be scaled up or down by multiplying the X, Y and Z coordinate values of Table II by a constant number.
In a preferred embodiment according to the present invention, there is provided a turbine bucket including a bucket airfoil having a tip shroud, the tip shroud having leading and trailing edges, the leading edge having a profile substantially in accordance with values of X and Y in a Cartesian coordinate system at points 1-7 set forth in Table I wherein X and Y are distances in inches which, when connected by smooth, continuing arcs, define the leading edge tip shroud profile.
In a further preferred embodiment according to the present invention, there is provided a turbine bucket including a bucket airfoil having a tip shroud, the tip shroud having leading and trailing edges, the trailing edge profile being defined substantially in accordance with values of X and Y in a Cartesian coordinate system at points 8-15 set forth in Table I wherein the X and Y values are distances in inches which, when the points are connected by smooth, continuing arcs, define the trailing edge profile of the tip shroud.
In a further preferred embodiment according to the present invention, there is provided a turbine bucket including a bucket airfoil having a tip shroud, the tip shroud having leading and trailing edges defining respective leading and trailing edge profiles substantially in accordance with values of X and Y in a Cartesian coordinate system at points 1-7 and 8-15, respectively, set forth in Table I, wherein the X and Y values are distances in inches which, when respective points 1-7 and 8-15 are connected by smooth, continuing arcs, define respective leading and trailing edge profiles of the tip shroud.
Referring now to the drawing figures, particularly to
Referring to
Each of the second stage buckets 20 is also provided with a tip shroud, generally designated 40 (
To define the shape of the leading and trailing edges 46 and 48, respectively, i.e., the profiles formed by those edges, a unique set or loci of points in space are provided. Particularly, in a Cartesian coordinate system of X, Y and Z axes, X and Y values are given in Table I below and define the profile of the leading and trailing edges at various locations therealong. The Z-axis coincides with a radius from the engine centerline, i.e., the axis of rotation of the turbine rotor. The values for the X and Y coordinates are set forth in inches in Table I, although other units of dimensions may be used when the values are appropriately converted. By defining X and Y coordinate values at selected locations relative to the origin of the X, Y axes, the locations of the points numbered 1 through 15 can be ascertained. By connecting the X and Y values with smooth, continuing arcs along each of the leading and trailing edges 46 and 48, respectively, each edge profile can be ascertained.
It will be appreciated that these values represent the leading and trailing edge profiles at ambient, non-operating or non-hot conditions, i.e., cold conditions. More specifically, the tip shroud has a leading edge 46 defining a leading edge profile substantially in accordance with the Cartesian coordinate values of X and Y at points 1-7 set forth in Table I, wherein the X and Y values are distances in inches from the origin along the Z-axis. When points 1-7 are connected by smooth, continuing arcs, points 1-7 define the leading edge tip shroud profile. Similarly, the tip shroud has a trailing edge 48 defining a trailing edge profile substantially in accordance with Cartesian coordinate values of X and Y at points 8-15 set forth in Table I, wherein X and Y are distances in inches from the same origin. When points 8-15 are connected by smooth, continuing arcs, points 8-15 define the trailing edge tip shroud profile. By defining the leading and trailing edge profiles in an X, Y coordinate system having a single origin, the shape of the tip shroud along the leading and trailing edges is defined.
Table I is as follows:
To correlate the mass distribution of the tip shroud with the fillets between the tip shroud and the airfoil and minimize stresses and maximize creep life, the tip shroud leading and trailing edge profiles are defined in relation to the profile of airfoil 36, e.g., at 92% span just radially inwardly of the fillet region at the intersection of the tip shroud and the tip of the airfoil 36 of bucket 20. (The airfoil at 100% span would be imaginary and lie within the fillet region). The airfoil profile is similarly defined by coordinate values of X and Y in the same X, Y and Z Cartesian coordinate system defining the tip shroud edges. The origin of the X, Y coordinate system for the airfoil (Table II) and the origin of the X, Y coordinate system for determining the leading and trailing edge profiles of the shroud (Table I) are spaced from one another a distance of 8% span along a radial Z-axis. Table II which defines the X, Y and Z coordinate values for the airfoil 36 at 92% span is given below. Thus, by defining X, Y and Z coordinate values, the profile of the airfoil section at 92% span can be ascertained. By connecting the X and Y values with smooth, continuing arcs, the profile of the airfoil at 92% span is fixed in space in relation to the tip shroud. By using a common Z-axis origin for the X, Y coordinate systems for the tip shroud points and the points defining the airfoil profile at 92% span, the leading and trailing edge profiles of the tip shroud are defined in relation to the location of the airfoil profile at 92% span. Other percentage spans could be used to define this relationship and the 92% span as used is exemplary only. It will be appreciated that the X, Y values for both the tip shroud points and the airfoil points are at ambient, non-operating or non-hot conditions (cold conditions). The Z value given in Table II is in non-dimensional form. To convert the Z value to a Z coordinate value, e.g., in inches, the Z value of Table II is multiplied by the height of the airfoil. The entire airfoil profile may be found in application Serial No.______, filed Jun. 13, 2003 (Attorney Dkt. 839-1460 (Dkt. 134765)), the disclosure of which is incorporated herein by reference. The Z-axis from the centerline passes through the origins of the X, Y coordinate systems for the airfoil and the tip shroud.
In this preferred embodiment of a second stage turbine bucket, there are ninety-two (92) bucket airfoils which are air-cooled. For reference purposes, there is established a datum U passing through the shank portion of the bucket, as illustrated in
It will be appreciated that there are typical manufacturing tolerances, as well as coatings which must be accounted for in the actual profiles of both the tip shroud and the airfoil. Accordingly, the values for the tip shroud profile given in Table I are for a nominal tip shroud. It will therefore be appreciated that ±typical manufacturing tolerances, i.e., ±values, including any coating thicknesses, are additive to the X, Y values given in Table I above. Accordingly, a distance of ±0.160 inches in a direction normal to any surface location along the leading and trailing edges defines a tip shroud edge profile envelope along the respective leading and trailing edges for this particular tip shroud design, i.e., a range of variation between measured points on the actual edge profiles at nominal cold or room temperature and the ideal position of those edge profiles as given in the Table I above at the same temperature. The tip shroud design is robust to this range of variations without impairment of mechanical and aerodynamic function and is embraced by the profiles substantially in accordance with the Cartesian coordinate values of the points 1-7 and 8-15 set forth in Table I.
It will also be appreciated that the tip shroud disclosed in Table I above may be scaled up or down geometrically for use in other similar turbine designs. Consequently, the coordinate values set forth in Table I may be scaled upwardly or downwardly such that the tip shroud leading and trailing edge profiles remain unchanged. A scaled version of the coordinates of Table I would be represented by X and Y coordinate values of Table I multiplied or divided by the same number. Similarly, the X, Y and Z values for the airfoil at 92% span given in Table II may be scaled up or down, by multiplying those X, Y and Z values by a constant number.
While the invention has been described in connection with what is presently considered to be the most practical and preferred embodiment, it is to be understood that the invention is not to be limited to the disclosed embodiment, but on the contrary, is intended to cover various modifications and equivalent arrangements included within the spirit and scope of the appended claims.