BACKGROUND OF THE INVENTION
Field of the invention
[0001] The present invention relates to a compressor blade for a compressor of a gas turbine
power plant.
[0002] More particularly, the present invention relates to a modified spanwise distribution
of the stagger angle of a compressor blade.
Description of prior art
[0003] As is known, a gas turbine power generation plant (herein after: "the plant") comprises
an upstream compressor, a combustor assembly and a downstream turbine.
[0004] The terms downstream and upstream as used herein refer to the direction of the main
gas flow passing through the plant.
[0005] The plant includes a stator and a rotor housed within the stator and comprising a
compressor section with a plurality of rows of compressor blades and a turbine section
with a plurality of turbine blades.
[0006] The compressor blades extend spanwise from a hub section to a tip section which radially
faces the stator and is separated therefrom by a tip gap.
[0007] The main goal of a compressor design, along with high efficiency, is a high operating
range. The operating range of a compressor blade is limited by aerodynamic losses
in the region of the tip gap.
[0008] Efficiency and operating range are contradictory requirements: efficiency is maximized
at high loadings, but in these conditions the operating range is decreased.
[0009] Known prior art solutions to achieve high efficiency and operating range include
so called "casing treatments", i.e. casing structures in the area of the rotating
blades configured to reduce aerodynamic blockage. Although this technology has been
known since the early days of turbomachinery, it is not widely used because of the
cost of additional parts and servicing needs.
SUMMARY OF THE INVENTION
[0010] An object of the present invention is to provide a compressor blade with a modified
design aimed at reducing aerodynamic blockage in the tip region.
[0011] According to the present invention, this object is attained by a compressor blade
extending spanwise from a hub section to a tip section and having intermediate airfoil
cross sections, said cross sections having a stagger angle comprised between a chord
and a meridional axis, characterized in that the blade has a spanwise stagger angle
distribution γ(s) defined as a function of the relative span (s) by the equation

where WSA(s) is a weighted stagger angle defined, as a function of the relative span,
by a curve comprised between the following equations:

and

Blades with a stagger spanwise distribution in this range proved to have a greater
operating range due to lower aerodynamic losses in the tip region, where the stagger
angle increases less than in the prior art.
[0012] According to a preferred embodiment of the invention, the weighted stagger angle
distribution curve has a maximum in the range of relative span (s) between s=0.4 and
s=0.6, and preferably at s=0.5, which means that the stagger angle distribution diverges
from a linear progression from the hub section up to an intermediate portion of the
blade, and then progressively converges with the linear progression at the tip.
[0013] Preferably, the curve has a downward concavity in the range between the maximum and
a zero point at s=1; this has the effect that the non-linear component of the stagger
angle distribution decreases sharply in the tip region.
[0014] Preferably, the stagger angle does not increase in the tip region of the blade, which
reduces aerodynamic blockage and thus increases operating range.
[0015] The present invention also relates to a compressor including at least a compressor
stage comprising a circumferential row of blades as defined above.
BRIEF DESCRIPTION OF THE DRAWINGS
[0016] For a better comprehension of the present invention, a preferred embodiments thereof
will be described hereafter, by way of a non-limiting example and referring to the
attached drawings, where:
Figure 1 is schematic elevation view of a compressor blade;
Figure 2 is a cross section of a compressor blade;
Figure 3 is a diagram showing limit curves for weighted stagger angle spanwise distribution
in accordance with the present invention;
Figure 4 is a diagram showing embodiments of the weighted stagger angle spanwise distribution
according to the invention against the prior art;
Figure 5 is a diagram showing stage compression characteristic curves comparing the
blade geometry according to the invention to the prior art; and
Figure 6 is a diagram showing the stagger angle spanwise distribution of a blade according
to an embodiment of the present invention compared to the prior art, as well as airfoil
section comparisons at different relative spans.
DETAILED DESCRIPTION OF A PREFERRED EMBODIMENT
[0017] Referring now to figure 1, a compressor 1 for a gas turbine power plant (not shown)
includes a stator 2 and a rotor 3. Rotor 3 includes a hub 4 and plurality of circumferential
rows of blades 5, only one of which is schematically shown. Blade 5 is fixed to hub
4 in a known manner, and extends from a hub section 6 to a tip section 7.
[0018] Stator 2 includes a casing 8 housing the rotor in a rotation-free manner and a plurality
of circumferential rows of vanes (not shown)fixed to casing 8.
[0019] A tip gap 9 separates tip section 7 of each blade 5 from casing 8.
[0020] Blade 5 can be thought of as composed by a plurality of radially stacked cross sections
S, each of which constitutes an airfoil (fig. 2). It is to be noted that in figure
1 both hub 4 and casing 8 are schematically shown as cylindrical, and therefore flow
lines 14 are parallel to the rotor axis and so are blade cross section. In actual
compressors, this is generally not the case, and cross sections are taken along flow
lines that are not parallel to the rotor axis.
[0021] Referring to fig. 2, a stagger angle γ of the airfoil is defined between a chord
c and a meridional axis
m, where chord
c is the line connecting point
L of intersection between leading edge 15 and camber line 16 to point
T of intersection between trailing edge 17 and camber line 16.
[0022] According to the present invention, a distribution or progression of stagger angle
γ from hub section 6 to tip section 7 of blade 5 is defined as a function of the relative
span s(r):

where h(r) is the distance of the cross section with respect to the hub cross section
(i.e. the difference between the cross section mean radius and the hub section mean
radius, radiuses being measured from the rotor axis) and H is the total height of
the blade 5, i.e. the difference between the tip section mean radius and the hub section
mean radius.
[0023] Such stagger angle distribution is given by the sum of a linear distribution from
hub section to tip section and a non-linear distribution in the form:

[0024] Parameter WSA or "Weighted Stagger Angle" is defined as follows (from [2]):

[0025] WSA(s) is, by definition, a function that equals 0 at the hub section (where
s(r)=0 and
γ(s) = γ(0) and at the tip section (where
s(r)=1 and
γ(s) =
γ(1))
.
[0026] According to the present invention,
WSA(s) is a function comprised between the limit curves defined by the following equations:

and

[0027] Limits curves
WSAmin (s) and
WSAmax (s) are shown in fig. 3, and the hatched area therebetween defines the range for
WSA(s), so that, for each value of
s, the following relation applies:

[0028] As can be noted from figure 3, both curves
WSAmin(s) and
WSAmax(s) have their maximum at about s=0.5, and have a downwards concavity from the maximum
to the zero point at S=1.
[0029] Figure 4 discloses three examples of curves
WSA1, WSA2, WSA3 in accordance with the present invention, which lie within the area between curves
WSAmin(s) and
WSAmax (s), as opposed to comparative curves
WSA4, WSA5 according to the prior art. Each of the curves according to the invention has a maximum
in the range between s=0.4 and s=0.6, and preferably at about s=0.5. The following
table includes values for each of the curves
WAS1 to
WSA5, as well as
WSAmin(s) and
WSAmax(s), for values of
s ranging from 0 to 1 by 0.1 increments. The table also includes the deriving values
of stagger angle
γ(s) for each of the curves.
| s |
WSA1 |
WSA2 |
WSA3 |
WSA4 |
WSA5 |
WSAmin |
WSAmax |
γ1 |
γ2 |
γ3 |
γ4 |
γ5 |
| 0 |
0,00 |
0,00 |
0,00 |
0,00 |
0,00 |
0,00 |
0,00 |
47,41 |
48,25 |
47,35 |
47,32 |
47,05 |
| 0,1 |
0,23 |
0,71 |
1,31 |
-0,28 |
0,05 |
0,12 |
1,80 |
48,37 |
49,76 |
49,53 |
48,08 |
48,37 |
| 0,2 |
0,93 |
1,53 |
2,51 |
-0,32 |
0,16 |
0,59 |
3,20 |
49,85 |
51,41 |
51,59 |
49,12 |
49,76 |
| 0,3 |
1,68 |
2,27 |
3,51 |
-0,27 |
0,32 |
1,18 |
4,20 |
51,39 |
52,96 |
53,42 |
50,29 |
51,23 |
| 0,4 |
2,18 |
2,78 |
4,26 |
-0,10 |
0,53 |
1,65 |
4,80 |
52,66 |
54,25 |
54,97 |
51,59 |
52,74 |
| 0,5 |
2,38 |
2,98 |
4,63 |
0,04 |
0,68 |
1,89 |
5,00 |
53,57 |
55,17 |
56,07 |
52,87 |
54,18 |
| 0,6 |
2,27 |
2,82 |
4,49 |
0,03 |
0,64 |
1,83 |
4,80 |
54,13 |
55,70 |
56,60 |
53,96 |
55,39 |
| 0,7 |
1,90 |
2,35 |
3,86 |
-0,04 |
0,49 |
1,55 |
4,20 |
54,40 |
55,86 |
56,57 |
54,97 |
56,45 |
| 0,8 |
1,35 |
1,65 |
2,80 |
-0,15 |
0,22 |
1,12 |
3,20 |
54,45 |
55,76 |
56,04 |
55,94 |
57,37 |
| 0,9 |
0,68 |
0,82 |
1,45 |
-0,16 |
0,03 |
0,62 |
1,80 |
54,37 |
55,51 |
55,19 |
57,03 |
58,38 |
| 1 |
0,00 |
0,00 |
0,00 |
0,00 |
0,00 |
0,00 |
0,00 |
54,28 |
55,28 |
54,21 |
58,32 |
59,60 |
[0030] As can be readily seen comparing the two sets of curves, according to the invention
the contribution of the non-linear portion of
γ(s) decreases sharply in the tip region and, compared to prior art bladed designs having
the same hub and tip stagger angle values, the stagger angle does not increase or
even decreases in the tip region.
[0031] This is reflected in figure 6, which discloses the spanwise distribution of stagger
angle
γ in a representative blade according to the invention (curve
γA) and in a corresponding prior art blade (curve
γB).
[0032] A direct comparison between cross sections S
A and S
B of the two blades at values s = 0, s = 0.5 and s=1 are shown in the right hand side
of the figure. The stagger angle distribution according to the invention is characterized
by a "flatter" tip region were the stagger angle tends not to increase as in the prior
art.
[0033] Figure 5 discloses characteristic curves (stage compression ratio
CR against flow coefficient
Φ) for a representative compressor stage. Different design variants have been assessed
(curves A, B, C) and are compared to a prior art embodiment(curve D).
[0034] As can be clearly seen, prior art compressor stage features a maximum in the design
area, with a substantial decrease of compression ratio for lower flow rates, while
compressor stages according to the present invention show a much more extended operating
range with limited decrease of compression ratio at reduced flows.
[0035] Although the invention has been explained in relation to its preferred embodiments
as mentioned above, it is to be understood that modifications and variations can be
made without departing from the scope of the appended claims.
1. A compressor blade (5) extending spanwise from a hub section (6) to a tip section
(7) and having intermediate airfoil cross sections (S), said cross sections having
a stagger angle (
γ) comprised between a chord (
c) and a meridional axis (
m),
characterized in that the blade (5) has a spanwise stagger angle distribution
γ(s) defined as a function of a relative span (
s) of the blade by the equation:

where
WSA(s) is a weighted stagger angle defined, as a function of the relative span, by a curve
comprised between the following equations:

and
2. A blade as claimed in claim 1, characterized in that said curve has a maximum in the range of relative span (s) between s=0.4 and s=0.6.
3. A blade as claimed in claim 1, characterized in that said curve has a maximum at a value of relative span (s) of about s=0.5.
4. A blade as claimed in claim 2 or 3, characterized in that said curve has a downward concavity in the range between said maximum and a zero
point at s=1.
5. A blade as claimed in any of the preceding claims, characterized in that the stagger angle (γ) does not increase in the tip region of the blade.
6. A compressor including at least a compressor stage comprising a circumferential row
of blades according to any of the preceding claims.