Airfoil shape for a turbine bucket and turbine incorporating same

Information

  • Patent Grant
  • 7731483
  • Patent Number
    7,731,483
  • Date Filed
    Wednesday, August 1, 2007
    17 years ago
  • Date Issued
    Tuesday, June 8, 2010
    14 years ago
Abstract
Third stage turbine buckets have airfoil profiles substantially in accordance with Cartesian coordinate values of X, Y and Z′ set forth Table I wherein X and Y values are in inches and the Z′ values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z′ values by the height of the airfoil in inches and adding the radius of the airfoil base. The X and Y values are distances which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z. The profile sections at each distance Z are joined smoothly to one another to form a complete airfoil shape. The X, Y and Z distances may be scalable as a function of the same constant or number to provide a scaled up or scaled down airfoil section for the bucket. The nominal airfoil given by the X, Y and Z distances lies within an envelope of +/−0.0.060 inches in directions normal to the surface of the airfoil.
Description
BACKGROUND OF THE INVENTION

The present invention relates to an airfoil for a bucket of a stage of a gas turbine and particularly relates to a third stage turbine bucket airfoil profile.


Many system requirements must be met for each stage of the hot gas path section of a gas turbine in order to meet design goals including overall improved efficiency and airfoil loading. Particularly, the buckets of the third stage of the turbine section must meet the operating requirements for that particular stage and also be capable of efficient manufacture.


BRIEF DESCRIPTION OF THE INVENTION

The invention may be embodied in a turbine bucket including a bucket airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z′ set forth in Table I wherein the Z′ values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z′ values by airfoil height in inches and adding the radius of the airfoil base, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape.


The invention may also be embodied in a turbine bucket including a bucket airfoil having an uncoated nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z′ set forth in Table I wherein the Z′ values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z′ values by the airfoil height in inches and adding the radius of the airfoil base, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each Z distance, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape, the X, Y and Z distances being scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil.


The invention may further be embodied in a turbine comprising a turbine wheel having a plurality of buckets, each of said buckets including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z′ set forth in Table I wherein the Z′ values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z′ values by the airfoil height in inches and adding the radius of the airfoil base, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define the airfoil profile sections at each distance Z, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape.





BRIEF DESCRIPTION OF THE DRAWINGS

These and other objects and advantages of this invention, will be more completely understood and appreciated by careful study of the following more detailed description of the presently preferred example embodiments of the invention taken in conjunction with the accompanying drawings, in which:



FIG. 1 is a schematic representation of a hot gas path through multiple stages of a gas turbine and illustrates a third stage bucket airfoil according to an example embodiment of the present invention; and



FIG. 2 is a perspective view of a bucket according to an example embodiment of the present invention.





DETAILED DESCRIPTION OF THE INVENTION

Referring now to the drawings, particularly to FIG. 1, there is illustrated a hot gas path, generally designated 10, of a gas turbine 12 including a plurality of turbine stages. Three stages are illustrated. For example, the first stage comprises a plurality of circumferentially spaced nozzles 14 and buckets 16. The nozzles are circumferentially spaced one from the other and fixed about the axis of the rotor. The first stage buckets 16, of course, are mounted on the turbine rotor 17. A second stage of the turbine 12 is also illustrated, including a plurality of circumferentially spaced nozzles 18 and a plurality of circumferentially spaced buckets 20 mounted on the rotor. The third stage is also illustrated including a plurality of circumferentially spaced nozzles 22 and buckets 24 mounted on rotor 17. It will be appreciated that the nozzles and buckets lie in the hot gas path 10 of the turbine, the direction of flow of the hot gas through the hot gas path 10 being indicated by the arrow 26.


Referring to FIG. 2, it will be appreciated that the buckets, for example, the buckets 24 of the third stage have a bucket root 32 mounted on a rotor wheel, not shown in detail, forming part of rotor 17 and include platforms 30. It will also be appreciated that each bucket 24 has a bucket airfoil 34 as illustrated in FIG. 2. Thus, each of the buckets 24 has a bucket airfoil profile at any cross-section from the bucket platform to the bucket tip 36 in the shape of an airfoil 34. The base 38 of the bucket airfoil, for purposes of defining the coordinate system in an example embodiment of the turbine, lies at 37.3182 inches along a radius from the turbine centerline. This corresponds to the non-dimensional Z′ value of Table I at Z′ equals 0.000. The tip 36 of the bucket airfoil, for purposes of defining the airfoil shape in an example embodiment of the turbine, lies at 54.9318 inches along a radius from the turbine centerline. Thus, the Z length of the bucket 24 is 17.6136 inches from root to tip.


The 7FB Integrated Gasification Combined Cycle (IGCC) gas turbine hot gas path requires a third stage airfoil that meets system requirements of aerodynamic and mechanical blade loading and efficiency. To define the airfoil shape of each third stage bucket airfoil, there is a unique set or loci of points in space that meet the stage requirements and can be manufactured. This unique loci of points meets the requirements for stage efficiency and are arrived at by iteration between aerodynamic and mechanical loadings enabling the turbine to run in an efficient, safe and smooth manner. These points are unique and specific to the system and are not obvious to those skilled in the art. The loci which defines the bucket airfoil profile of the invention comprises a set of 3,200 points with X, Y and Z′ dimensions relative to the reference origin coordinate system established as shown in FIG. 2. More specifically, the coordinate system is set relative to the airfoil and is fully defined by points A, B and C. Points A and B are both located 37.3182 inches above the cold rotor centerline. Point A lies on the leading-edge airfoil surface and Point B lies on the trailing-edge airfoil surface. Point C is located 54.9318 inches above the cold rotor centerline on the airfoil trailing-edge surface. Points A and B define the X—axis. Points A, B and C define the X-Z plane. The coordinate system origin is located between Points A and B as schematically shown in FIG. 2. As mentioned above, the Cartesian coordinate system of X, Y and Z′ values given in Table I below defines the profile of the bucket airfoil at various locations along its length. The coordinate 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. The Z values are set forth in Table I in non-dimensional form (Z′) from 0 to 1. To convert the Z′ value to a Z coordinate value, e.g., in inches, the non-dimensional Z′ value given in Table I is multiplied by the Z length of the airfoil in inches (17.6136 in this example embodiment) and adding the radius of the airfoil base (37.3182 in this example embodiment). As described above, the Cartesian coordinate system has orthogonally-related X, Y and Z axes and the X axis lies parallel to the turbine rotor centerline, i.e., the rotary axis and a positive X coordinate value is axial toward the aft, i.e., exhaust end of the turbine. The positive Y coordinate value extends tangentially in the direction of rotation of the rotor and the positive Z′ coordinate value is radially outwardly toward the bucket tip.


By defining X and Y coordinate values at selected locations in a Z direction normal to the X, Y plane, the profile section of the bucket airfoil, at each Z distance along the length of the airfoil can be ascertained. By connecting the X and Y values with smooth continuing arcs, each profile section at each distance Z is fixed. The airfoil profiles of the various surface locations between the distances Z are determined by smoothly connecting the adjacent profile sections to one another to form the airfoil profile.


The Table I values are generated and shown to four decimal places for determining the profile of the airfoil. As the blade heats up in surface, stress and temperature will cause a change in the X, Y and Z's. Accordingly, the values for the profile given in Table I represent ambient, non-operating or non-hot conditions and are for an uncoated airfoil.


There are typical manufacturing tolerances as well as coatings which must be accounted for in the actual profile of the airfoil. Each section is joined smoothly with the other sections to form the complete airfoil shape. It will therefore be appreciated that +/− typical manufacturing tolerances, i.e., +/− values, including any coating thicknesses, are additive to the X and Y values given in Table I below. Accordingly, a distance of +/−0.060 inches in a direction normal to any surface location along the airfoil profile defines an airfoil profile envelope for this particular bucket airfoil design and turbine, i.e., a range of variation between measured points on the actual airfoil surface at nominal cold or room temperature and the ideal position of those points as given in the Table below at the same temperature. The bucket airfoil design is robust to this range of variation without impairment of mechanical and aerodynamic functions.














TABLE I







#
X
Y
Z′





















1
−2.5601
−0.3071
0.0000



2
−2.7836
−0.0184
0.0000



3
−2.2685
0.3689
0.0000



4
−2.4327
−0.2845
0.0000



5
−2.8627
−0.1207
0.0000



6
−2.3803
0.3036
0.0000



7
−2.3057
−0.2592
0.0000



8
−2.9068
−0.2406
0.0000



9
−2.4887
0.2329
0.0000



10
−2.8176
−0.3190
0.0000



11
−2.5930
0.1562
0.0000



12
−2.6886
−0.3228
0.0000



13
−2.6920
0.0729
0.0000



14
−1.2858
−0.0828
0.0000



15
−1.9251
−0.1823
0.0000



16
−1.6744
0.6228
0.0000



17
−1.5503
0.6599
0.0000



18
−1.7978
−0.1587
0.0000



19
−1.7969
0.5812
0.0000



20
−1.6703
−0.1368
0.0000



21
−1.9179
0.5352
0.0000



22
−1.5424
−0.1167
0.0000



23
−2.1790
−0.2331
0.0000



24
−2.0370
0.4845
0.0000



25
−1.4251
0.6925
0.0000



26
−1.4142
−0.0987
0.0000



27
−2.0521
−0.2072
0.0000



28
−2.1540
0.4291
0.0000



29
−0.6401
−0.0426
0.0000



30
−1.0434
0.7631
0.0000



31
−0.3976
0.7861
0.0000



32
−0.5107
−0.0435
0.0000



33
−1.1570
−0.0693
0.0000



34
−1.1715
0.7442
0.0000



35
−0.5269
0.7915
0.0000



36
−0.3813
−0.0478
0.0000



37
−1.0280
−0.0583
0.0000



38
−1.2987
0.7206
0.0000



39
−0.6564
0.7917
0.0000



40
−0.8989
−0.0501
0.0000



41
−0.7857
0.7870
0.0000



42
−0.7695
−0.0448
0.0000



43
−0.9148
0.7775
0.0000



44
0.2392
0.6779
0.0000



45
0.1337
−0.0987
0.0000



46
0.1140
0.7107
0.0000



47
−0.0126
0.7378
0.0000



48
0.2613
−0.1201
0.0000



49
0.6402
−0.2050
0.0000



50
0.3884
−0.1449
0.0000



51
0.6046
0.5472
0.0000



52
−0.2521
−0.0554
0.0000



53
−0.2686
0.7754
0.0000



54
−0.1402
0.7594
0.0000



55
0.5147
−0.1732
0.0000



56
0.4847
0.5960
0.0000



57
−0.1231
−0.0664
0.0000



58
0.3629
0.6397
0.0000



59
0.0055
−0.0808
0.0000



60
1.4833
0.0051
0.0000



61
1.3688
−0.4708
0.0000



62
0.7647
−0.2403
0.0000



63
0.8378
0.4350
0.0000



64
1.3810
0.0844
0.0000



65
0.9510
0.3722
0.0000



66
1.4849
−0.5279
0.0000



67
0.8882
−0.2791
0.0000



68
0.7223
0.4934
0.0000



69
1.2768
0.1612
0.0000



70
1.7797
−0.2456
0.0000



71
1.5993
−0.5885
0.0000



72
1.0104
−0.3216
0.0000



73
1.1704
0.2349
0.0000



74
1.6825
−0.1602
0.0000



75
1.7118
−0.6526
0.0000



76
1.1314
−0.3676
0.0000



77
1.0618
0.3054
0.0000



78
1.5837
−0.0765
0.0000



79
1.8222
−0.7200
0.0000



80
1.2509
−0.4174
0.0000



81
1.9702
−0.4210
0.0000



82
2.4302
−0.8761
0.0000



83
2.7492
−1.3739
0.0000



84
2.0371
−0.8644
0.0000



85
2.4431
−1.1854
0.0000



86
1.9307
−0.7907
0.0000



87
1.8756
−0.3326
0.0000



88
2.3391
−0.7842
0.0000



89
2.7790
−1.2583
0.0000



90
2.5386
−1.2728
0.0000



91
2.2478
−0.6925
0.0000



92
2.6310
−1.3634
0.0000



93
2.1414
−0.9411
0.0000



94
2.1561
−0.6011
0.0000



95
2.6097
−1.0627
0.0000



96
2.6967
−1.1585
0.0000



97
2.2440
−1.0200
0.0000



98
2.0637
−0.5105
0.0000



99
2.5207
−0.9687
0.0000



100
2.3447
−1.1013
0.0000



101
−2.5943
−0.2386
0.0323



102
−2.5933
0.1518
0.0323



103
−2.4700
−0.2241
0.0323



104
−2.6816
0.0631
0.0323



105
−2.3464
−0.2041
0.0323



106
−2.2898
0.3719
0.0323



107
−2.2231
−0.1824
0.0323



108
−2.7986
−0.1534
0.0323



109
−2.3956
0.3051
0.0323



110
−2.7191
−0.2345
0.0323



111
−2.4972
0.2320
0.0323



112
−2.7566
−0.0369
0.0323



113
−1.9763
−0.1408
0.0323



114
−2.0686
0.4889
0.0323



115
−1.4785
0.6945
0.0323



116
−1.8525
−0.1221
0.0323



117
−2.1806
0.4331
0.0323



118
−1.5996
0.6628
0.0323



119
−1.7284
−0.1054
0.0323



120
−1.7193
0.6264
0.0323



121
−1.6041
−0.0907
0.0323



122
−1.8376
0.5854
0.0323



123
−1.4796
−0.0781
0.0323



124
−2.0998
−0.1610
0.0323



125
−1.9541
0.5396
0.0323



126
−1.3563
0.7216
0.0323



127
−1.3548
−0.0676
0.0323



128
−0.8600
0.7845
0.0323



129
−0.6043
−0.0525
0.0323



130
−1.2299
−0.0593
0.0323



131
−0.9848
0.7756
0.0323



132
−0.3599
0.7726
0.0323



133
−0.4792
−0.0585
0.0323



134
−1.1049
−0.0533
0.0323



135
−1.1093
0.7622
0.0323



136
−0.4846
0.7828
0.0323



137
−0.3543
−0.0672
0.0323



138
−0.9797
−0.0495
0.0323



139
−1.2331
0.7442
0.0323



140
−0.6097
0.7881
0.0323



141
−0.8546
−0.0480
0.0323



142
−0.7348
0.7887
0.0323



143
−0.7294
−0.0490
0.0323



144
−0.2356
0.7573
0.0323



145
0.6307
−0.2388
0.0323



146
0.3695
0.6022
0.0323



147
0.0187
−0.1095
0.0323



148
0.2514
0.6437
0.0323



149
0.1424
−0.1293
0.0323



150
0.1316
0.6801
0.0323



151
0.2655
−0.1520
0.0323



152
−0.1053
−0.0926
0.0323



153
0.0104
0.7111
0.0323



154
0.3880
−0.1777
0.0323



155
0.5999
0.5044
0.0323



156
−0.2297
−0.0785
0.0323



157
−0.1121
0.7368
0.0323



158
0.5098
−0.2066
0.0323



159
0.4857
0.5557
0.0323



160
1.7645
−0.7569
0.0323



161
1.1037
−0.4023
0.0323



162
1.2184
−0.4524
0.0323



163
0.9294
0.3245
0.0323



164
1.4356
−0.0427
0.0323



165
1.3314
−0.5063
0.0323



166
0.7508
−0.2744
0.0323



167
0.8218
0.3885
0.0323



168
1.3383
0.0360
0.0323



169
1.8091
−0.3761
0.0323



170
1.4426
−0.5638
0.0323



171
0.8697
−0.3134
0.0323



172
0.7119
0.4485
0.0323



173
1.2391
0.1124
0.0323



174
1.7178
−0.2904
0.0323



175
1.5519
−0.6248
0.0323



176
0.9874
−0.3560
0.0323



177
1.1380
0.1862
0.0323



178
1.6252
−0.2062
0.0323



179
1.6592
−0.6893
0.0323



180
1.0347
0.2570
0.0323



181
1.5312
−0.1235
0.0323



182
2.4222
−1.0020
0.0323



183
2.5384
−1.3900
0.0323



184
2.2630
−1.1348
0.0323



185
1.8991
−0.4631
0.0323



186
2.3363
−0.9110
0.0323



187
2.6519
−1.3970
0.0323



188
2.3574
−1.2170
0.0323



189
1.8678
−0.8276
0.0323



190
2.2498
−0.8205
0.0323



191
2.6703
−1.2838
0.0323



192
2.4493
−1.3020
0.0323



193
1.9692
−0.9011
0.0323



194
2.1631
−0.7302
0.0323



195
2.5899
−1.1879
0.0323



196
2.0686
−0.9771
0.0323



197
2.0759
−0.6403
0.0323



198
2.5069
−1.0942
0.0323



199
2.1666
−1.0550
0.0323



200
1.9880
−0.5512
0.0323



201
−2.4067
0.3012
0.0645



202
−2.5038
−0.1601
0.0645



203
−2.5002
0.2240
0.0645



204
−2.3834
−0.1468
0.0645



205
−2.5855
0.1380
0.0645



206
−2.3076
0.3709
0.0645



207
−2.2634
−0.1292
0.0645



208
−2.6572
0.0404
0.0645



209
−2.6966
−0.0730
0.0645



210
−2.6246
−0.1559
0.0645



211
−1.8756
0.5895
0.0645



212
−1.9031
−0.0793
0.0645



213
−1.9876
0.5431
0.0645



214
−1.4106
0.7254
0.0645



215
−1.7825
−0.0666
0.0645



216
−2.0972
0.4914
0.0645



217
−1.5288
0.6986
0.0645



218
−1.6617
−0.0563
0.0645



219
−2.2041
0.4341
0.0645



220
−1.6459
0.6671
0.0645



221
−1.5407
−0.0483
0.0645



222
−2.1435
−0.1111
0.0645



223
−1.7616
0.6307
0.0645



224
−1.4196
−0.0427
0.0645



225
−2.0234
−0.0942
0.0645



226
−1.1772
−0.0378
0.0645



227
−1.2914
0.7475
0.0645



228
−0.6875
0.7892
0.0645



229
−0.6925
−0.0522
0.0645



230
−1.2984
−0.0392
0.0645



231
−0.8087
0.7900
0.0645



232
−0.5715
−0.0607
0.0645



233
−0.9299
0.7862
0.0645



234
−0.4507
−0.0712
0.0645



235
−1.0559
−0.0384
0.0645



236
−1.0508
0.7778
0.0645



237
−0.4455
0.7740
0.0645



238
−0.3301
−0.0837
0.0645



239
−0.9347
−0.0410
0.0645



240
−1.1714
0.7650
0.0645



241
−0.5663
0.7839
0.0645



242
−0.8136
−0.0456
0.0645



243
−0.0868
0.7152
0.0645



244
0.5041
−0.2356
0.0645



245
0.4853
0.5181
0.0645



246
−0.0897
−0.1151
0.0645



247
−0.2055
0.7397
0.0645



248
0.6209
−0.2682
0.0645



249
0.3745
0.5671
0.0645



250
0.0300
−0.1341
0.0645



251
0.5941
0.4646
0.0645



252
−0.3252
0.7593
0.0645



253
0.2616
0.6116
0.0645



254
0.1494
−0.1555
0.0645



255
0.1470
0.6511
0.0645



256
0.2683
−0.1795
0.0645



257
0.0308
0.6857
0.0645



258
0.3865
−0.2061
0.0645



259
−0.2098
−0.0983
0.0645



260
1.6090
−0.7217
0.0645



261
1.0768
−0.4329
0.0645



262
1.0080
0.2124
0.0645



263
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1722
−0.8168
0.2505
0.5484



1723
−1.2255
0.4305
0.5484



1724
−1.2502
0.9180
0.5484



1725
−0.8053
0.9202
0.5484



1726
−0.7372
0.2098
0.5484



1727
−1.1413
0.4005
0.5484



1728
−1.5777
0.4818
0.5484



1729
−1.3375
0.8989
0.5484



1730
−0.8939
0.9319
0.5484



1731
−0.6578
0.1686
0.5484



1732
−0.5465
0.8513
0.5484



1733
−0.1505
0.6461
0.5484



1734
−0.1047
−0.1244
0.5484



1735
−0.4994
0.0856
0.5484



1736
−0.3029
0.7395
0.5484



1737
−0.1834
−0.0819
0.5484



1738
−0.4203
0.0439
0.5484



1739
−0.3821
0.7809
0.5484



1740
−0.3412
0.0021
0.5484



1741
−0.2257
0.6945
0.5484



1742
−0.4634
0.8183
0.5484



1743
−0.2623
−0.0398
0.5484



1744
0.1962
0.3646
0.5484



1745
0.2069
−0.3000
0.5484



1746
0.1305
0.4253
0.5484



1747
0.0631
0.4840
0.5484



1748
0.3596
−0.3931
0.5484



1749
−0.0263
−0.1673
0.5484



1750
0.2836
−0.3459
0.5484



1751
−0.0062
0.5406
0.5484



1752
0.3227
0.2382
0.5484



1753
0.0519
−0.2108
0.5484



1754
−0.0773
0.5947
0.5484



1755
0.2602
0.3022
0.5484



1756
0.1296
−0.2550
0.5484



1757
0.9297
−0.8235
0.5484



1758
0.5822
−0.5427
0.5484



1759
0.5024
0.0391
0.5484



1760
0.7846
−0.3076
0.5484



1761
0.9953
−0.8843
0.5484



1762
0.6542
−0.5956
0.5484



1763
0.4437
0.1065
0.5484



1764
0.7293
−0.2373
0.5484



1765
1.0030
−0.5908
0.5484



1766
0.7251
−0.6502
0.5484



1767
0.3838
0.1730
0.5484



1768
0.6735
−0.1674
0.5484



1769
0.9486
−0.5198
0.5484



1770
0.7946
−0.7063
0.5484



1771
0.4347
−0.4415
0.5484



1772
0.6172
−0.0980
0.5484



1773
0.8941
−0.4489
0.5484



1774
0.8628
−0.7641
0.5484



1775
0.8395
−0.3782
0.5484



1776
0.5090
−0.4913
0.5484



1777
0.5602
−0.0291
0.5484



1778
1.6578
−1.4408
0.5484



1779
1.5527
−1.4646
0.5484



1780
1.2473
−1.1380
0.5484



1781
1.0574
−0.6618
0.5484



1782
1.3296
−1.0164
0.5484



1783
1.6039
−1.3695
0.5484



1784
1.6129
−1.5306
0.5484



1785
1.3087
−1.2030
0.5484



1786
1.1661
−0.8038
0.5484



1787
1.5491
−1.2988
0.5484



1788
1.3700
−1.2681
0.5484



1789
1.0597
−0.9463
0.5484



1790
1.2205
−0.8748
0.5484



1791
1.4941
−1.2284
0.5484



1792
1.4312
−1.3333
0.5484



1793
1.1230
−1.0095
0.5484



1794
1.1854
−1.0735
0.5484



1795
1.2750
−0.9456
0.5484



1796
1.4391
−1.1578
0.5484



1797
1.6874
−1.5197
0.5484



1798
1.4921
−1.3988
0.5484



1799
1.1117
−0.7328
0.5484



1800
1.3843
−1.0872
0.5484



1801
−1.7763
0.6864
0.5806



1802
−1.7231
0.5443
0.5806



1803
−1.7852
0.6032
0.5806



1804
−1.7149
0.7496
0.5806



1805
−1.3167
0.9323
0.5806



1806
−0.8780
0.9526
0.5806



1807
−0.6483
0.2014
0.5806



1808
−1.0372
0.4104
0.5806



1809
−1.4595
0.5295
0.5806



1810
−0.9659
0.9613
0.5806



1811
−0.9578
0.3717
0.5806



1812
−1.3717
0.5203
0.5806



1813
−1.4852
0.8796
0.5806



1814
−1.0542
0.9636
0.5806



1815
−0.8796
0.3308
0.5806



1816
−1.2852
0.5027
0.5806



1817
−1.5658
0.8436
0.5806



1818
−1.1424
0.9596
0.5806



1819
−0.7050
0.9174
0.5806



1820
−0.8020
0.2885
0.5806



1821
−1.2006
0.4773
0.5806



1822
−1.6362
0.5313
0.5806



1823
−1.6430
0.8008
0.5806



1824
−1.2301
0.9491
0.5806



1825
−0.7909
0.9379
0.5806



1826
−0.7250
0.2453
0.5806



1827
−1.1180
0.4461
0.5806



1828
−1.4020
0.9091
0.5806



1829
−1.5478
0.5313
0.5806



1830
−0.4573
0.8244
0.5806



1831
−0.2673
−0.0218
0.5806



1832
−0.5380
0.8602
0.5806



1833
−0.1548
0.6427
0.5806



1834
−0.1914
−0.0670
0.5806



1835
−0.5719
0.1572
0.5806



1836
−0.6206
0.8913
0.5806



1837
−0.2273
0.6931
0.5806



1838
−0.1156
−0.1125
0.5806



1839
−0.4956
0.1127
0.5806



1840
−0.3019
0.7404
0.5806



1841
−0.4194
0.0680
0.5806



1842
−0.3786
0.7843
0.5806



1843
−0.3433
0.0232
0.5806



1844
−0.0843
0.5895
0.5806



1845
0.1100
−0.2515
0.5806



1846
0.3318
−0.3963
0.5806



1847
0.1791
0.3544
0.5806



1848
0.1844
−0.2989
0.5806



1849
0.2584
−0.3472
0.5806



1850
0.2408
0.2912
0.5806



1851
0.0509
0.4759
0.5806



1852
−0.0401
−0.1583
0.5806



1853
0.1158
0.4160
0.5806



1854
−0.0158
0.5338
0.5806



1855
0.3012
0.2267
0.5806



1856
0.0351
−0.2046
0.5806



1857
0.8213
−0.7734
0.5806



1858
0.4764
−0.4978
0.5806



1859
0.5312
−0.0414
0.5806



1860
0.8036
−0.3890
0.5806



1861
0.8870
−0.8324
0.5806



1862
0.5474
−0.5504
0.5806



1863
0.4751
0.0268
0.5806



1864
0.7499
−0.3189
0.5806



1865
0.9516
−0.8926
0.5806



1866
0.6175
−0.6041
0.5806



1867
0.4182
0.0943
0.5806



1868
0.6959
−0.2490
0.5806



1869
0.9640
−0.6000
0.5806



1870
1.0152
−0.9539
0.5806



1871
0.6865
−0.6592
0.5806



1872
0.3602
0.1610
0.5806



1873
0.6415
−0.1794
0.5806



1874
0.9106
−0.5296
0.5806



1875
0.7545
−0.7156
0.5806



1876
0.4045
−0.4465
0.5806



1877
0.5866
−0.1102
0.5806



1878
0.8571
−0.4593
0.5806



1879
1.4448
−1.3986
0.5806



1880
1.1399
−1.0791
0.5806



1881
1.0708
−0.7406
0.5806



1882
1.3396
−1.0910
0.5806



1883
1.6101
−1.4402
0.5806



1884
1.5048
−1.4634
0.5806



1885
1.2013
−1.1425
0.5806



1886
1.0174
−0.6703
0.5806



1887
1.2856
−1.0212
0.5806



1888
1.5566
−1.3699
0.5806



1889
1.5647
−1.5283
0.5806



1890
1.2625
−1.2062
0.5806



1891
1.3843
−1.3342
0.5806



1892
1.2317
−0.9512
0.5806



1893
1.5024
−1.3001
0.5806



1894
1.3235
−1.2701
0.5806



1895
1.1780
−0.8811
0.5806



1896
1.4480
−1.2305
0.5806



1897
1.0779
−1.0162
0.5806



1898
1.1244
−0.8109
0.5806



1899
1.3938
−1.1608
0.5806



1900
1.6385
−1.5181
0.5806



1901
−1.6923
0.7915
0.6129



1902
−1.7523
0.7286
0.6129



1903
−1.7553
0.6458
0.6129



1904
−1.6898
0.5928
0.6129



1905
−0.7111
0.2814
0.6129



1906
−1.0930
0.4916
0.6129



1907
−1.2967
0.9665
0.6129



1908
−0.8630
0.9737
0.6129



1909
−0.6371
0.2350
0.6129



1910
−1.0140
0.4545
0.6129



1911
−1.4289
0.5799
0.6129



1912
−1.3814
0.9454
0.6129



1913
−0.9495
0.9853
0.6129



1914
−0.9367
0.4141
0.6129



1915
−1.4641
0.9177
0.6129



1916
−1.0366
0.9904
0.6129



1917
−0.8606
0.3713
0.6129



1918
−1.2571
0.5507
0.6129



1919
−1.5443
0.8833
0.6129



1920
−1.1238
0.9890
0.6129



1921
−0.6936
0.9323
0.6129



1922
−1.3422
0.5696
0.6129



1923
−1.2107
0.9811
0.6129



1924
−1.5161
0.5827
0.6129



1925
−0.7855
0.3269
0.6129



1926
−1.1739
0.5242
0.6129



1927
−1.6033
0.5828
0.6129



1928
−1.6210
0.8418
0.6129



1929
−0.7776
0.9559
0.6129



1930
−0.3767
0.7878
0.6129



1931
−0.3439
0.0457
0.6129



1932
−0.4528
0.8305
0.6129



1933
−0.2709
−0.0022
0.6129



1934
−0.1981
−0.0503
0.6129



1935
−0.5635
0.1881
0.6129



1936
−0.6114
0.9032
0.6129



1937
−0.2310
0.6918
0.6129



1938
−0.1255
−0.0987
0.6129



1939
−0.4901
0.1409
0.6129



1940
−0.3028
0.7414
0.6129



1941
−0.4169
0.0934
0.6129



1942
−0.5310
0.8691
0.6129



1943
0.1627
−0.2957
0.6129



1944
−0.0275
0.5273
0.6129



1945
0.2781
0.2161
0.6129



1946
0.0192
−0.1964
0.6129



1947
−0.0934
0.5845
0.6129



1948
0.2197
0.2811
0.6129



1949
0.0911
−0.2458
0.6129



1950
0.1602
0.3448
0.6129



1951
−0.1612
0.6394
0.6129



1952
0.0992
0.4072
0.6129



1953
0.2339
−0.3461
0.6129



1954
0.0367
0.4681
0.6129



1955
0.3046
−0.3973
0.6129



1956
0.3352
0.1502
0.6129



1957
−0.0530
−0.1474
0.6129



1958
0.7146
−0.7228
0.6129



1959
0.3747
−0.4492
0.6129



1960
0.5554
−0.1207
0.6129



1961
0.8201
−0.4675
0.6129



1962
0.7800
−0.7805
0.6129



1963
0.4442
−0.5020
0.6129



1964
0.7676
−0.3978
0.6129



1965
0.5013
−0.0522
0.6129



1966
0.8445
−0.8393
0.6129



1967
0.5130
−0.5557
0.6129



1968
0.4467
0.0159
0.6129



1969
0.7149
−0.3282
0.6129



1970
0.9776
−0.6767
0.6129



1971
0.9082
−0.8990
0.6129



1972
0.5810
−0.6104
0.6129



1973
0.3914
0.0834
0.6129



1974
0.6621
−0.2588
0.6129



1975
0.9250
−0.6070
0.6129



1976
0.9710
−0.9596
0.6129



1977
0.6482
−0.6661
0.6129



1978
0.6089
−0.1896
0.6129



1979
0.8726
−0.5373
0.6129



1980
1.0331
−1.0209
0.6129



1981
1.0828
−0.8159
0.6129



1982
1.3485
−1.1620
0.6129



1983
1.5900
−1.5147
0.6129



1984
1.3977
−1.3967
0.6129



1985
1.0946
−1.0828
0.6129



1986
1.0301
−0.7463
0.6129



1987
1.2951
−1.0931
0.6129



1988
1.5626
−1.4377
0.6129



1989
1.4572
−1.4605
0.6129



1990
1.1557
−1.1451
0.6129



1991
1.2418
−1.0240
0.6129



1992
1.5095
−1.3685
0.6129



1993
1.5168
−1.5242
0.6129



1994
1.2166
−1.2075
0.6129



1995
1.1886
−0.9547
0.6129



1996
1.4559
−1.2996
0.6129



1997
1.2773
−1.2703
0.6129



1998
1.1356
−0.8854
0.6129



1999
1.4021
−1.2309
0.6129



2000
1.3377
−1.3333
0.6129



2001
−1.7281
0.7708
0.6452



2002
−1.7244
0.6891
0.6452



2003
−0.7671
0.3656
0.6452



2004
−1.1453
0.5709
0.6452



2005
−1.5683
0.6367
0.6452



2006
−1.5996
0.8834
0.6452



2007
−1.1921
1.0136
0.6452



2008
−0.7654
0.9740
0.6452



2009
−0.6953
0.3179
0.6452



2010
−1.0661
0.5370
0.6452



2011
−1.4821
0.6358
0.6452



2012
−1.6700
0.8338
0.6452



2013
−1.2774
1.0014
0.6452



2014
−0.8491
0.9949
0.6452



2015
−0.9889
0.4985
0.6452



2016
−1.3960
0.6312
0.6452



2017
−1.5234
0.9238
0.6452



2018
−1.3615
0.9825
0.6452



2019
−0.9340
1.0096
0.6452



2020
−0.9136
0.4565
0.6452



2021
−1.3107
0.6191
0.6452



2022
−1.4437
0.9567
0.6452



2023
−1.0199
1.0177
0.6452



2024
−0.8398
0.4119
0.6452



2025
−1.2269
0.5988
0.6452



2026
−1.6541
0.6440
0.6452



2027
−1.1060
1.0190
0.6452



2028
−0.6835
0.9473
0.6452



2029
−0.4129
0.1199
0.6452



2030
−0.3768
0.7911
0.6452



2031
−0.3429
0.0695
0.6452



2032
−0.4501
0.8365
0.6452



2033
−0.2732
0.0188
0.6452



2034
−0.6241
0.2693
0.6452



2035
−0.5257
0.8780
0.6452



2036
−0.2035
−0.0320
0.6452



2037
−0.5534
0.2199
0.6452



2038
−0.6035
0.9151
0.6452



2039
−0.2367
0.6906
0.6452



2040
−0.4830
0.1701
0.6452



2041
−0.3057
0.7423
0.6452



2042
0.0202
0.4608
0.6452



2043
0.3086
0.1406
0.6452



2044
0.2531
0.2066
0.6452



2045
−0.0415
0.5211
0.6452



2046
−0.1047
0.5797
0.6452



2047
0.1966
0.2717
0.6452



2048
−0.1698
0.6363
0.6452



2049
0.1391
0.3359
0.6452



2050
0.0803
0.3990
0.6452



2051
0.2781
−0.3958
0.6452



2052
−0.0648
−0.1344
0.6452



2053
0.3456
−0.4495
0.6452



2054
0.0043
−0.1860
0.6452



2055
0.0732
−0.2379
0.6452



2056
0.1418
−0.2901
0.6452



2057
0.2101
−0.3427
0.6452



2058
−0.1341
−0.0831
0.6452



2059
0.6103
−0.6705
0.6452



2060
0.5756
−0.1979
0.6452



2061
0.8344
−0.5427
0.6452



2062
0.6750
−0.7275
0.6452



2063
0.5232
−0.1294
0.6452



2064
0.7828
−0.4736
0.6452



2065
0.7390
−0.7853
0.6452



2066
0.4126
−0.5037
0.6452



2067
0.4704
−0.0613
0.6452



2068
0.7312
−0.4045
0.6452



2069
0.8023
−0.8439
0.6452



2070
0.4791
−0.5586
0.6452



2071
0.4171
0.0065
0.6452



2072
0.6795
−0.3355
0.6452



2073
0.9376
−0.6809
0.6452



2074
0.8649
−0.9031
0.6452



2075
0.5450
−0.6142
0.6452



2076
0.3632
0.0738
0.6452



2077
0.6277
−0.2666
0.6452



2078
0.8859
−0.6118
0.6452



2079
0.9269
−0.9630
0.6452



2080
1.0931
−0.8876
0.6452



2081
1.3559
−1.2294
0.6452



2082
1.4689
−1.5184
0.6452



2083
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3155
0.0848
−0.2231
1.0000



3156
0.0711
0.1098
1.0000



3157
−0.1984
0.5001
1.0000



3158
0.1783
−0.3506
1.0000



3159
0.2490
−0.1516
1.0000



3160
0.6112
−0.6701
1.0000



3161
0.4742
−0.4765
1.0000



3162
0.7032
−0.7987
1.0000



3163
0.7117
−1.0372
1.0000



3164
0.2253
−0.4141
1.0000



3165
0.2044
−0.0863
1.0000



3166
0.6571
−0.7344
1.0000



3167
0.7625
−1.0978
1.0000



3168
0.5130
−0.7913
1.0000



3169
0.2726
−0.4775
1.0000



3170
0.1599
−0.0210
1.0000



3171
0.5621
−0.8533
1.0000



3172
0.3201
−0.5407
1.0000



3173
0.4642
−0.7290
1.0000



3174
0.1155
0.0444
1.0000



3175
0.3386
−0.2819
1.0000



3176
0.3836
−0.3469
1.0000



3177
0.5654
−0.6057
1.0000



3178
0.6115
−0.9149
1.0000



3179
0.3678
−0.6037
1.0000



3180
0.4288
−0.4118
1.0000



3181
0.2937
−0.2168
1.0000



3182
0.5197
−0.5412
1.0000



3183
0.7493
−0.8629
1.0000



3184
0.6614
−0.9763
1.0000



3185
0.4159
−0.6665
1.0000



3186
1.0284
−1.2465
1.0000



3187
0.9346
−1.1192
1.0000



3188
1.1433
−1.4447
1.0000



3189
0.8881
−1.0553
1.0000



3190
1.1219
−1.3740
1.0000



3191
0.8417
−0.9912
1.0000



3192
1.0228
−1.3953
1.0000



3193
1.0754
−1.3101
1.0000



3194
1.0765
−1.4533
1.0000



3195
0.8138
−1.1580
1.0000



3196
0.7955
−0.9271
1.0000



3197
0.9175
−1.2774
1.0000



3198
0.8654
−1.2179
1.0000



3199
0.9699
−1.3366
1.0000



3200
0.9813
−1.1830
1.0000










It will also be appreciated that the airfoil disclosed in the above Table I 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 airfoil profile shape remains unchanged. A scaled version of the coordinates in Table I would be represented by X, Y and Z′ coordinate values of Table I, with X and Y and the non-dimensional Z′ coordinate value converted to inches, multiplied or divided by a constant number.


An important term in this disclosure is profile. The profile is the range of the variation between measured points on an airfoil surface and the ideal position listed in Table I. The actual profile on a manufactured blade will be different then those in Table I and the design is robust to this variation meaning that mechanical and aerodynamic function are not impaired. As noted above, a + or −0.06 inch profile tolerance is used herein.


The disclosed airfoil shape optimizes and is specific to the machine conditions and specifications. It provides a unique profile to achieve 1) interaction between other stages in the high pressure turbine; 2) aerodynamic efficiency; and 3) normalized aerodynamic and mechanical blade loadings. The disclosed loci of points allow the 7FB IGCC gas turbine to run in an efficient, safe and smooth manner. As also noted, any scale of the disclosed airfoil may be adopted as long as 1) interaction between other stages in the high pressure turbine; 2) aerodynamic efficiency; and 3) normalized aerodynamic and mechanical blade loadings are maintained in the scaled turbine.


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.

Claims
  • 1. A turbine bucket including a bucket airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z′ set forth in Table I wherein the Z′ values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z′ values by a height of the airfoil in inches and adding the radius of the airfoil base, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape.
  • 2. A turbine bucket according to claim 1, forming part of a third stage of a turbine.
  • 3. A turbine bucket according to claim 1, wherein said airfoil shape lies in an envelope within +/−0.060 inches in a direction normal to any airfoil surface location.
  • 4. A turbine bucket according to claim 1, wherein the height of the turbine bucket from root to tip is 17.6136 inches.
  • 5. A turbine bucket including a bucket airfoil having an uncoated nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z′ set forth in Table I wherein the Z′ values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z′ values by a height of the airfoil in inches and adding the radius of the airfoil base, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each Z distance, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape, the X, Y and Z distances being scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil.
  • 6. A turbine bucket according to claim 5, forming part of a third stage of a turbine.
  • 7. A turbine bucket according to claim 5, wherein said airfoil shape lies in an envelope within +/−0.060 inches in a direction normal to any airfoil surface location.
  • 8. A turbine bucket according to claim 5, wherein the height of the turbine bucket from root to tip is 17.6136 inches.
  • 9. A turbine comprising a turbine wheel having a plurality of buckets, each of said buckets including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z′ set forth in Table I wherein the Z′ values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z′ values by a height of the airfoil in inches and adding the radius of the airfoil base, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define the airfoil profile sections at each distance Z, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape.
  • 10. A turbine according to claim 9, wherein the turbine wheel comprises a third stage of the turbine.
  • 11. A turbine according to claim 9, wherein X represents a distance parallel to the turbine axis of rotation.
  • 12. A turbine according to claim 9, wherein the height of the turbine bucket from root to tip is 17.6136 inches.
  • 13. A turbine according to claim 9, wherein the Z height between an axial centerline of said turbine wheel and a base of the airfoil as defined in Table 1 is 37.3182 inches and which corresponds to the non-dimensionalized Z (Z′) at 0.000.
  • 14. A turbine according to claim 13, wherein the height of the turbine bucket from root to tip is 17.6136 inches.
  • 15. A turbine according to claim 9, wherein the X, Y and Z distances are scalable as a function of the same constant or number to provide a scaled-up or scaled-down bucket airfoil.
  • 16. A turbine according to claim 15, wherein the turbine wheel comprises a third stage of the turbine.
  • 17. A turbine according to claim 15, wherein X represents a distance parallel to the turbine axis of rotation.
  • 18. A turbine according to claim 15, wherein the height of the turbine bucket from root to tip is 17.6136 inches.
  • 19. A turbine according to claim 15, wherein the Z height between an axial centerline of said turbine wheel and a base of the airfoil as defined in Table 1 is 37.3182 inches and which corresponds to the non-dimensionalized Z (Z′) at 0.000.
  • 20. A turbine according to claim 15, said airfoil shape lying in an envelope within +/−0.060 inches in a direction normal to any airfoil surface location.
US Referenced Citations (5)
Number Name Date Kind
5980209 Harry et al. Nov 1999 A
6474948 Pirolla et al. Nov 2002 B1
6779980 Brittingham et al. Aug 2004 B1
6851931 Tomberg Feb 2005 B1
6884038 Hyde et al. Apr 2005 B2
Related Publications (1)
Number Date Country
20090035145 A1 Feb 2009 US