CN113868796A - Impulse turbine bucket root transition self-adaption method - Google Patents

Impulse turbine bucket root transition self-adaption method Download PDF

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CN113868796A
CN113868796A CN202111140494.XA CN202111140494A CN113868796A CN 113868796 A CN113868796 A CN 113868796A CN 202111140494 A CN202111140494 A CN 202111140494A CN 113868796 A CN113868796 A CN 113868796A
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CN113868796B (en
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李任飞
覃大清
刘永新
王茜芸
夏溢
许义群
张春
柏勇
李树林
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Harbin Electric Machinery Co Ltd
China Huaneng Group Co Ltd
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Abstract

The invention discloses a self-adaptive method for transition of the root part of a bucket of an impulse turbine, which divides the front surface of the bucket into a front main body area and a front transition area, divides the back surface of the bucket into a back main body area and a back transition area, and adopts different transformation algorithms to the curve parameter functions of the front main body area, the front transition area, the back main body area and the back transition area when the bucket needs to be subjected to independent geometric transformation, thereby ensuring that the bucket main body realizes the required geometric transformation, realizing self-adaptive smooth transition of the root parts of adjacent buckets and improving the design work efficiency.

Description

Impulse turbine bucket root transition self-adaption method
Technical Field
The invention relates to a self-adaptive method for transition of the root of a bucket of an impulse turbine, which can be used for ensuring the self-adaptive smooth transition of the root of an adjacent bucket when the impulse turbine bucket is subjected to geometric transformation.
Background
Impulse turbines are commonly used in high head power stations and the capacity of a single machine is increasing. As the core component of the impulse turbine, the performance of the runner of the impulse turbine, namely the bucket runner, is crucial, in the design of the impulse turbine, the buckets often need to be subjected to independent geometric transformation, when the bucket geometric transformation is carried out, each bucket has a corresponding datum point, the transformation datum points of different buckets are different, after the bucket transformation is carried out, the root of the adjacent buckets which are originally in smooth transition connection is connected or has an interference phenomenon after the transformation, or the meat deficiency phenomenon occurs, and the purpose of smooth transition can be achieved only by repeatedly correcting the root curved surface of the transformed buckets.
Disclosure of Invention
According to the invention, through a bucket root transition adaptive algorithm, different transformation algorithms are adopted for a bucket main body and a bucket root transition area, so that the adaptive smooth transition of the bucket root during the geometric transformation of the bucket is realized, and the design work efficiency is improved, and the technical scheme of the invention is as follows:
the method comprises the following steps: the method comprises the steps of taking any bucket on a runner of the impulse turbine as a basic bucket for transition calculation of the root of the bucket, taking the bucket connected with the back of the basic bucket as a front bucket, taking the bucket connected with the front of the basic bucket as a back bucket, taking all buckets as geometric equivalence, dividing the front of all the buckets into a front body area and a front transition area, dividing the back of all the buckets into a back body area and a back transition area, wherein the front body area and the front transition area have a common boundary line front parting line and continuous first-order derivatives, the back body area and the back transition area have a common boundary line back parting line and continuous first-order derivatives, the front transition area of the basic bucket and the back transition area of the back bucket have a common boundary line front-back parting line and continuous first-order derivatives, and the back transition area of the basic bucket and the front transition area of the front bucket have a common boundary line back parting line, and the first derivative is continuous;
step two: taking the intersection point of the rotation center line of the rotating wheel and the symmetry plane of the rotating wheel as the origin of the whole coordinate system of the rotating wheel, taking the rotation center line of the rotating wheel as the z axis of the whole coordinate system of the rotating wheel, taking a specified straight line passing through the origin of coordinates on the symmetry plane of the rotating wheel as the x axis, and taking the vector product of the z axis and the x axis as the y axis to establish the whole coordinate system of the rotating wheel;
step three: determining the datum point of each bucket on the rotating wheel, wherein the position relation between the datum point of each bucket and the corresponding bucket is geometrically congruent, and the coordinate of the datum point of the basic bucket in the overall coordinate system of the rotating wheel is (x)0,y0,z0) Abbreviated as
Figure BDA0003283714580000021
Translating the overall coordinate system of the rotating wheel to the datum point of the basic water bucket to generate a new coordinate system which is a body-fitted coordinate system of the basic water bucket, wherein the formula for converting the overall coordinate system of the rotating wheel to the body-fitted coordinate system of the basic water bucket is as follows
Figure BDA0003283714580000022
Wherein
Figure BDA0003283714580000023
For the coordinates (x) of an arbitrary spatial point in a patch coordinate systemt,yt,zt)，
Figure BDA0003283714580000024
To be corresponding toCoordinates (x, y, z) of the space point in the global coordinate system;
step four: the rotation angle from the basic water bucket to the previous water bucket in the overall coordinate system of the rotating wheel is
Figure BDA0003283714580000025
The corresponding transformation matrix is A;
step five: establishing a surface parameter function (f) of the front body area under a body-attached coordinate system of the basic water bucketpx(u,v),fpy(u,v),fpz(u, v)), abbreviated as
Figure BDA0003283714580000026
Surface parameter function (f) of frontal transition areaprx(u,v),fpry(u,v),fprz(u, v)), abbreviated as
Figure BDA0003283714580000027
Surface parameter function (f) of back body regionsx(u,v),fsy(u,v),fsz(u, v)), abbreviated as
Figure BDA0003283714580000031
Surface parameter function (f) of back transition regionsrx(u,v),fsry(u,v),fsrz(u, v)), abbreviated as
Figure BDA0003283714580000032
The variation range of the (u, v) parameter of each surface function is [0,1 ]]×[0,1]Surface parameter function of frontal body area
Figure BDA0003283714580000033
When u is 1, the curve parameter function of the front transition region corresponding to the front parting line
Figure BDA0003283714580000034
When u is 0, the front parting line is corresponding, when u is 1, the front and back parting lines of the foundation bucket and the next bucket are corresponding, and the curved surface parameter function of the back body area
Figure BDA0003283714580000035
When u is 1, corresponding to the back parting line, the curve parameter function of the back transition region
Figure BDA0003283714580000036
When u is 0, the parting line of the back face is corresponding, and when u is 1, the parting line of the front face and the back face of the foundation water bucket and the front water bucket is corresponding;
step six: when the bucket main body needs to be scaled according to the proportionality coefficient k and the bucket roots of the adjacent buckets are ensured to be in smooth transition connection, a new front and back parting line function (T) is established in the overall coordinate system of the rotating wheelx(v),Ty(v),Tz(v) Abbreviated as
Figure BDA0003283714580000037
Establishing a front transition weight function w in a patch coordinate systemp(u) and a back transition weight function ws(u) respectively aligning the surface parameter functions of the surface body region in the body coordinate system of the foundation bucket
Figure BDA0003283714580000038
Surface parameter function of front transition region
Figure BDA0003283714580000039
Surface parameter function of back body region (11)
Figure BDA00032837145800000310
And surface parameter function of back transition region
Figure BDA00032837145800000311
The following transformations are performed:
Figure BDA00032837145800000312
Figure BDA00032837145800000313
Figure BDA00032837145800000314
Figure BDA00032837145800000315
wherein
Figure BDA00032837145800000316
Surface parameter function (F) for transformed frontal body regionpx(u,v),Fpy(u,v),Fpz(u,v))，
Figure BDA00032837145800000317
Surface parameter function (F) for transformed back body regionsx(u,v),Fsy(u,v),Fsz(u,v))，
Figure BDA0003283714580000041
Surface parameter function (F) for the transformed frontal transition regionprx(u,v),Fpry(u,v),Fprz(u,v))，
Figure BDA0003283714580000042
Surface parameter function (F) for the transformed frontal transition regionsrx(u,v),Fsry(u,v),Fsrz(u,v))；
Thus, the self-adaptive transition calculation of the root of the water bucket when the water bucket main body is zoomed according to the scale coefficient k is completed;
step seven: when the rotation angle from the basic water bucket to the previous water bucket in the overall coordinate system of the rotating wheel is required to be determined
Figure BDA00032837145800000412
Is adjusted to
Figure BDA00032837145800000413
Then, solve for
Figure BDA00032837145800000414
The corresponding transformation matrix is B, and a positive transition weight function w is establishedp(u) and a back transition weight function ws(u) establishing a new front and back parting line function (T) in the global coordinate system of the runnerx(v),Ty(v),Tz(v) Abbreviated as
Figure BDA0003283714580000043
And respectively aligning the surface parameter functions of the surface transition region in the body-fitted coordinate system of the basic water bucket
Figure BDA0003283714580000044
Surface parameter function of back transition region
Figure BDA0003283714580000045
The following transformations are performed:
Figure BDA0003283714580000046
Figure BDA0003283714580000047
wherein
Figure BDA0003283714580000048
Surface parameter function (F) for the transformed frontal transition regionprx(u,v),Fpry(u,v),Fprz(u,v))，
Figure BDA0003283714580000049
Surface parameter function (F) for the transformed frontal transition regionsrx(u,v),Fsry(u,v),Fsrz(u,v))；
Thus, the rotation angle from the basic water bucket to the previous water bucket is completed
Figure BDA00032837145800000419
Is adjusted to
Figure BDA00032837145800000418
Self-adaptive transition calculation of the root of the water bucket;
step eight: when the bucket body needs to be scaled according to the scaling coefficient k, the rotation angle from the basic bucket to the previous bucket is changed
Figure BDA00032837145800000415
Is adjusted to
Figure BDA00032837145800000416
Then, solve for
Figure BDA00032837145800000417
The corresponding transformation matrix is B, and a temporary front and back parting line function is established in the overall coordinate system of the rotating wheel
Figure BDA00032837145800000410
New front and back parting line function (T)x(v),Ty(v),Tz(v) Abbreviated as
Figure BDA00032837145800000411
And a front proportion transition weight function w is established under a body-fitted coordinate system of the basic water bucket (4)kp(u) back proportional transition weight function wks(u) front face rotation transition weight function wrp(u) and back surface rotation transition weight function wrs(u) and respectively aligning the surface parameter functions of the surface body region in the body coordinate system of the basic water bucket
Figure BDA0003283714580000051
Surface parameter function of front transition region
Figure BDA0003283714580000052
Surface parameter function of back body region
Figure BDA0003283714580000053
And surface parameter function of back transition region
Figure BDA0003283714580000054
The following transformations are performed:
Figure BDA0003283714580000055
Figure BDA00032837145800000512
Figure BDA0003283714580000056
Figure BDA0003283714580000057
wherein
Figure BDA0003283714580000058
Surface parameter function (F) for transformed frontal body regionpx(u,v),Fpy(u,v),Fpz(u,v))，
Figure BDA0003283714580000059
Surface parameter function (F) for transformed back body regionsx(u,v),Fsy(u,v),Fsz(u,v))，
Figure BDA00032837145800000510
Surface parameter function (F) for the transformed frontal transition regionprx(u,v),Fpry(u,v),Fprz(u,v))，
Figure BDA00032837145800000511
Surface parameter function (F) for the transformed frontal transition regionsrx(u,v),Fsry(u,v),Fsrz(u,v))；
The scaling of the bucket body according to the scale factor k is completed, and the foundation bucket is moved to the previous bucketThe rotation angle of the bucket is controlled by
Figure BDA00032837145800000513
Is adjusted to
Figure BDA00032837145800000514
And (4) self-adaptive transition calculation of the root of the water bucket.
In the impulse turbine bucket root transition adaptive method, in the first step, the front sides of all the buckets are divided into a front body region and a front transition region, and the back sides of all the buckets are divided into a back body region and a back transition region, wherein the front body region and the front transition region have a common boundary line front parting line, and the first derivative is continuous, the back main body region and the back transition region have a common boundary line back parting line, and the first derivative is continuous, the front transition region of the base bucket and the back transition region of the next bucket have a common boundary line front and back parting line, and the first derivative is continuous, and the back transition region of the base bucket and the front transition region of the previous bucket have a common boundary line front and back parting line, and the first derivative is continuous.
In the impulse turbine bucket root transition adaptive method, in the fifth step, a surface parameter function (f) of the front body region is established in an attached coordinate system of the basic bucketpx(u,v),fpy(u,v),fpz(u, v)), abbreviated as
Figure BDA0003283714580000061
Surface parameter function (f) of frontal transition areaprx(u,v),fpry(u,v),fprz(u, v)), abbreviated as
Figure BDA0003283714580000062
Surface parameter function (f) of back body regionsx(u,v),fsy(u,v),fsz(u, v)), abbreviated as
Figure BDA0003283714580000063
Surface parameter function (f) of back transition regionsrx(u,v),fsry(u,v),fsrz(u, v)), abbreviated as
Figure BDA0003283714580000064
The variation range of the (u, v) parameter of each surface function is [0,1 ]]×[0,1]Surface parameter function of frontal body area
Figure BDA0003283714580000065
When u is 1, the curve parameter function of the front transition region corresponding to the front parting line
Figure BDA0003283714580000066
When u is 0, the front parting line is corresponding, when u is 1, the front and back parting lines of the foundation bucket and the next bucket are corresponding, and the curved surface parameter function of the back body area
Figure BDA0003283714580000067
When u is 1, corresponding to the back parting line, the curve parameter function of the back transition region
Figure BDA0003283714580000068
When u is 0, the parting line corresponds to the back parting line, and when u is 1, the parting line corresponds to the front and back parting lines of the foundation bucket and the previous bucket.
In the impulse turbine bucket root transition adaptive method, in the sixth step, when the bucket main body needs to be scaled according to the scaling coefficient k and the bucket roots of the adjacent buckets are ensured to be in smooth transition connection, a new front and back parting line function (T) is established in the overall coordinate system of the rotating wheelx(v),Ty(v),Tz(v) Abbreviated as
Figure BDA0003283714580000069
Establishing a front transition weight function w in a patch coordinate systemp(u) and a back transition weight function ws(u) respectively aligning the surface parameter functions of the surface body region in the body coordinate system of the foundation bucket
Figure BDA0003283714580000071
Front sideSurface parameter function of transition region
Figure BDA0003283714580000072
Surface parameter function of back body region
Figure BDA0003283714580000073
And surface parameter function of back transition region
Figure BDA0003283714580000074
The following transformations are performed:
Figure BDA0003283714580000075
Figure BDA0003283714580000076
Figure BDA0003283714580000077
Figure BDA0003283714580000078
wherein
Figure BDA0003283714580000079
Surface parameter function (F) for transformed frontal body regionpx(u,v),Fpy(u,v),Fpz(u,v))，
Figure BDA00032837145800000710
Surface parameter function (F) for transformed back body regionsx(u,v),Fsy(u,v),Fsz(u,v))，
Figure BDA00032837145800000711
Surface parameter function (F) for the transformed frontal transition regionprx(u,v),Fpry(u,v),Fprz(u,v))，
Figure BDA00032837145800000712
Surface parameter function (F) for the transformed frontal transition regionsrx(u,v),Fsry(u,v),Fsrz(u,v))。
In the impulse turbine bucket root transition adaptive method, the rotation angle of the base bucket to the previous bucket in the overall coordinate system of the runner in the seventh step is determined by the rotation angle of the base bucket to the previous bucket in the overall coordinate system of the runner
Figure BDA00032837145800000721
Is adjusted to
Figure BDA00032837145800000719
Then, solve for
Figure BDA00032837145800000720
The corresponding transformation matrix is B, and a positive transition weight function w is establishedp(u) and a back transition weight function ws(u) establishing a new front and back parting line function (T) in the global coordinate system of the runnerx(v),Ty(v),Tz(v) Abbreviated as
Figure BDA00032837145800000713
And respectively aligning the surface parameter functions of the surface transition region in the body-fitted coordinate system of the basic water bucket
Figure BDA00032837145800000714
Surface parameter function of back transition region
Figure BDA00032837145800000715
The following transformations are performed:
Figure BDA00032837145800000716
Figure BDA00032837145800000717
wherein
Figure BDA00032837145800000718
Surface parameter function (F) for the transformed frontal transition regionprx(u,v),Fpry(u,v),Fprz(u,v))，
Figure BDA0003283714580000081
Surface parameter function (F) for the transformed frontal transition regionsrx(u,v),Fsry(u,v),Fsrz(u,v))。
In the impulse turbine bucket root transition adaptive method, in the step eight, when the bucket body needs to be scaled by a scaling coefficient k, the rotation angle from the base bucket to the previous bucket is changed from
Figure BDA00032837145800000816
Is adjusted to
Figure BDA00032837145800000817
Then, solve for
Figure BDA00032837145800000818
The corresponding transformation matrix is B, and a temporary front and back parting line function is established in the overall coordinate system of the rotating wheel
Figure BDA0003283714580000082
New front and back parting line function (T)x(v),Ty(v),Tz(v) Abbreviated as
Figure BDA0003283714580000083
And establishing a front proportion transition weight function w under a patch coordinate system of the basic water bucketkp(u) back proportional transition weight function wks(u) front face rotation transition weight function wrp(u) and back surface rotation transition weight function wrs(u) and respectively aligning the surface parameter functions of the surface body region in the body coordinate system of the basic water bucket
Figure BDA0003283714580000084
Surface parameter function of front transition region
Figure BDA0003283714580000085
Surface parameter function of back body region
Figure BDA0003283714580000086
And surface parameter function of back transition region
Figure BDA0003283714580000087
The following transformations are performed:
Figure BDA0003283714580000088
Figure BDA0003283714580000089
Figure BDA00032837145800000810
Figure BDA00032837145800000811
wherein
Figure BDA00032837145800000812
Surface parameter function (F) for transformed frontal body regionpx(u,v),Fpy(u,v),Fpz(u,v))，
Figure BDA00032837145800000813
Surface parameter function (F) for transformed back body regionsx(u,v),Fsy(u,v),Fsz(u,v))，
Figure BDA00032837145800000814
Surface parameter function (F) for the transformed frontal transition regionprx(u,v),Fpry(u,v),Fprz(u,v))，
Figure BDA00032837145800000815
Surface parameter function (F) for the transformed frontal transition regionsrx(u,v),Fsry(u,v),Fsrz(u,v))。
Drawings
Fig. 1 is a top view of a pelton wheel.
Fig. 2 is a side view of a pelton wheel.
Fig. 3 is a side view of a pelton wheel bucket.
Fig. 4 is a top view of the impulse turbine runner scoop.
Fig. 5 is a three-dimensional model of a runner bucket of the impulse turbine.
Fig. 6 is a schematic view of the impulse turbine wheel coordinates.
Reference is made to the accompanying drawings in which:
1-impulse turbine runner; 2-a water bucket; 3-the root of the water bucket; 4-foundation water bucket
5-a front water bucket; 6-the latter bucket; 7-front side; 8-back; 9-front body area; 10-front transition area: 11-a back body region; 12-a back transition region; 13-front parting line; 14-back parting line; 15-front and back parting lines; 16-center of rotation; 17-the rotor symmetry plane; 18-origin of the global coordinate system; 19. -a global coordinate system; 20-datum point; 21-patch coordinate system
The invention has the beneficial effects that:
in the design of the impact runner, the buckets are often required to be subjected to independent geometric transformation, and after the buckets are transformed, the roots of adjacent buckets are connected or have interference phenomenon or meat deficiency phenomenon, and the smooth transition can be achieved only by repeatedly correcting the root curved surfaces of the buckets. The front and back surfaces of the water bucket are divided into a water bucket main body area and a water bucket transition area, different transformation algorithms are adopted for the water bucket main body and the water bucket root transition area, the water bucket main body is guaranteed to realize required geometric transformation, meanwhile, the adjacent water bucket roots realize self-adaptive smooth transition, and the design work efficiency is improved.
Detailed Description
The present application is further described below with reference to the accompanying drawings. The following examples are only for illustrating the technical solutions of the present invention more clearly, and the protection scope of the present application is not limited thereby.
The method comprises the following steps: as shown in fig. 1, 3, 4 and 5, a base bucket 4 with any bucket 2 on an impulse turbine runner 1 as a bucket root 3 for transition calculation, a bucket 2 connected with a back surface 8 of the base bucket 4 as a previous bucket 5, a bucket 2 connected with a front surface 7 of the base bucket 4 as a next bucket 6, all buckets 2 being geometrically congruent, dividing the front surface 7 of all buckets 2 into a front body area 9 and a front transition area 10, dividing the back surface 8 of all buckets 2 into a back body area 11 and a back transition area 12, wherein the front body area 9 and the front transition area 10 share a common boundary line front parting line 13 and have continuous first derivatives, the back body area 11 and the back transition area 12 share a common boundary line back parting line 14 and have continuous first derivatives, the front transition area 10 of the base bucket 4 and the back transition area 12 of the next bucket 6 share a common boundary line front and back parting line 15, the first-order derivatives are continuous, the back transition region 12 of the basic water bucket 4 and the front transition region 10 of the previous water bucket 5 share a common boundary line, namely a front parting line 15 and a back parting line 15, and the first-order derivatives are continuous; the function of dividing the front surface and the back surface of the water bucket into different areas is to adopt different transformation formulas for the different areas in the following transformation, thereby ensuring the smooth transition of the root parts of the adjacent water buckets;
step two: as shown in fig. 2 and fig. 6, an overall coordinate system 19 of the rotor 1 is established by taking the intersection point of the rotation center line 16 of the rotor 1 and the rotor symmetry plane 17 as the origin 18 of the overall coordinate system of the rotor 1, taking the rotation center line 16 of the rotor 1 as the z-axis of the overall coordinate system of the rotor 1, taking a specified straight line passing through the origin 18 of coordinates on the rotor symmetry plane 18 as the x-axis, and taking the vector product of the z-axis and the x-axis as the y-axis; the function of the overall coordinate system 19 established in the step is to establish a transformation matrix A from the basic water bucket 4 to the previous water bucket 5
Step three: as shown in figure 1 and figure 5,As shown in fig. 6, the reference point 20 calculated by transforming each water bucket 2 on the runner 1 is determined, the position relation between the reference point 20 of each water bucket and the corresponding water bucket 2 is geometrically congruent, and the reference point 20 of the base water bucket 4 has the coordinate (x) in the overall coordinate system 19 of the runner 10,y0,z0) Abbreviated as
Figure BDA0003283714580000111
The overall coordinate system 19 of the runner 1 is translated to a reference point 20 of the basic water bucket 4 to generate a new coordinate system 21 of the basic water bucket 4, and the equation for converting the overall coordinate system 19 of the runner 1 into the patch coordinate system 21 of the basic water bucket 4 is as follows
Figure BDA0003283714580000112
Wherein
Figure BDA0003283714580000113
Coordinates (x) in the patch coordinate system 21 for arbitrary spatial pointst,yt,zt)，
Figure BDA0003283714580000114
Coordinates (x, y, z) in the global coordinate system 19 for the corresponding spatial point; the function of establishing the overall coordinate system 21 in the step is to perform the geometrical transformation of the water bucket later;
step four: as shown in fig. 1, 5 and 6, the rotation angle from the base bucket 4 to the previous bucket 5 in the global coordinate system 19 of the runner 1 is
Figure BDA0003283714580000119
The corresponding transformation matrix is A; determining a transformation matrix A for carrying out geometrical transformation of the water bucket later;
step five: as shown in FIGS. 5 and 6, the surface parameter function (f) of the frontal body region 9 is established in the object coordinate system 21 of the base bucket 4px(u,v),fpy(u,v),fpz(u, v)), abbreviated as
Figure BDA0003283714580000115
Surface parameter function of the frontal transition area 10(fprx(u,v),fpry(u,v),fprz(u, v)), abbreviated as
Figure BDA0003283714580000116
Surface parameter function (f) of back body region 11sx(u,v),fsy(u,v),fsz(u, v)), abbreviated as
Figure BDA0003283714580000117
Surface parameter function (f) of the back transition region 12srx(u,v),fsry(u,v),fsrz(u, v)), abbreviated as
Figure BDA0003283714580000118
The variation range of the (u, v) parameter of each surface function is [0,1 ]]×[0,1]Surface parameter function of frontal body region 9
Figure BDA0003283714580000121
When u is 1, the curve parameter function of the front transition region 10 corresponds to the front parting line 13
Figure BDA0003283714580000122
When u is 0, the front parting line 13 is corresponded, when u is 1, the front and back parting lines 15 of the foundation bucket 4 and the next bucket 6 are corresponded, and the curved surface parameter function of the back body area 11 is corresponded
Figure BDA0003283714580000123
Curve parameter function of back transition region 12 corresponding to back parting line 14 when u is 1
Figure BDA0003283714580000124
A back parting line 14 when u is 0, and a front and back parting line 15 between the foundation bucket 4 and the preceding bucket 5 when u is 1; establishing a curved surface parameter function of each area of the water bucket for carrying out geometrical transformation of the water bucket later;
step six: as shown in fig. 1, 5 and 6, when the body of the water bucket 2 needs to be scaled by a scaling factor k and the root 3 of the water buckets of the adjacent water buckets 2 is ensured to be in smooth transition connection, the water buckets are positioned at the position of the root 3The overall coordinate system of the runner 1 establishes a new front and back parting line 15 function (T)x(v),Ty(v),Tz(v) Abbreviated as
Figure BDA0003283714580000125
Establishing a front transition weight function w in the patch coordinate system 21p(u) and a back transition weight function ws(u) and then respectively aligning the surface parameter functions of the surface body region 9 in the body coordinate system 21 of the foundation bucket 4
Figure BDA0003283714580000126
Surface parameter function of the frontal transition area 10
Figure BDA0003283714580000127
Surface parameter function of back body region 11
Figure BDA0003283714580000128
And surface parameter function of the back transition region 12
Figure BDA0003283714580000129
The following transformations are performed:
Figure BDA00032837145800001210
Figure BDA00032837145800001211
Figure BDA00032837145800001212
Figure BDA00032837145800001213
wherein
Figure BDA00032837145800001214
As a function of the surface parameters (F) of the transformed frontal body region 9px(u,v),Fpy(u,v),Fpz(u,v))，
Figure BDA00032837145800001215
As a function of the surface parameters (F) of the transformed back body region 11sx(u,v),Fsy(u,v),Fsz(u,v))，
Figure BDA00032837145800001216
As a function of surface parameters (F) of the transformed frontal transition region 10prx(u,v),Fpry(u,v),Fprz(u,v))，
Figure BDA00032837145800001311
As a function of surface parameters (F) for the transformed frontal transition region 12srx(u,v),Fsry(u,v),Fsrz(u,v))；
Thus, the self-adaptive transition calculation of the root 3 of the water bucket when the main body of the water bucket 2 is zoomed according to the scale coefficient k is completed;
the curved surface parameter functions of the front body area 9, the front transition area 10, the back body area 11 and the back transition area 12 of the basic water bucket 4 are transformed by adopting respective corresponding transformation formulas through the method, so that the front body area 9 and the front transition area 10 of the water bucket 4 keep continuous first-order derivatives, the back body area 11 and the back transition area 12 keep continuous first-order derivatives, the first-order derivatives of the water bucket 2 and the adjacent water bucket root 3 are ensured to be continuous, and the adjacent water bucket root 3 is in smooth transition when the main body is zoomed according to a proportion coefficient k;
step seven: as shown in fig. 1, 5 and 6, when the rotation angle from the base bucket 4 to the previous bucket 5 needs to be adjusted in the global coordinate system of the runner 1
Figure BDA0003283714580000138
Is adjusted to
Figure BDA0003283714580000139
Then, solve for
Figure BDA00032837145800001310
The corresponding transformation matrix is B, and a positive transition weight function w is establishedp(u) and a back transition weight function ws(u) establishing a new face-back parting line 15 function (T) in the global coordinate system of the wheel 1x(v),Ty(v),Tz(v) Abbreviated as
Figure BDA0003283714580000131
And respectively aligning the curved surface parameter functions of the front transition region 10 in the body-fitted coordinate system of the basic water bucket 4
Figure BDA0003283714580000132
Surface parameter function of the back transition region (12)
Figure BDA0003283714580000133
The following transformations are performed:
Figure BDA0003283714580000134
Figure BDA0003283714580000135
wherein
Figure BDA0003283714580000136
As a function of surface parameters (F) of the transformed frontal transition region 10prx(u,v),Fpry(u,v),Fprz(u,v))，
Figure BDA0003283714580000137
As a function of surface parameters (F) for the transformed frontal transition region 12srx(u,v),Fsry(u,v),Fsrz(u,v))；
This completes the rotation angle of the base bucket 4 to the previous bucket 5
Figure BDA00032837145800001412
Is adjusted to
Figure BDA0003283714580000149
Self-adaptive transition calculation of the water bucket root 3;
the method of the step is used for transforming the curved surface parameter functions of the front transition area 10 and the back transition area 12 of the basic water bucket 4 by adopting respective corresponding transformation formulas, so that the front body area 9 and the front transition area 10 of the water bucket 4 are kept continuous in first derivative, the back body area 11 and the back transition area 12 are kept continuous in first derivative, the water bucket 2 and the root 3 of the adjacent water bucket are kept continuous in first derivative, and the rotation angle from the basic water bucket 4 to the previous water bucket 5 is changed from the first derivative
Figure BDA00032837145800001413
Is adjusted to
Figure BDA00032837145800001414
When in use, the root parts 3 of the adjacent water buckets are in smooth transition;
step eight: as shown in fig. 1, 5 and 6, when the body of the water bucket 2 needs to be scaled by a scaling factor k, the rotation angle from the base water bucket 4 to the previous water bucket 5 is changed from
Figure BDA00032837145800001415
Is adjusted to
Figure BDA00032837145800001410
Then, solve for
Figure BDA00032837145800001411
The corresponding transformation matrix is B, and a temporary front and back parting line 15 function is established in the overall coordinate system of the rotating wheel 1
Figure BDA0003283714580000141
New face-back parting line 15 function (T)x(v),Ty(v),Tz(v) Abbreviated as
Figure BDA0003283714580000142
And in the baseEstablishing a front proportion transition weight function w under a closed coordinate system of the foundation bucket 4kp(u) back proportional transition weight function wks(u) front face rotation transition weight function wrp(u) and back surface rotation transition weight function wrs(u) and respectively aligning the curved surface parameter functions of the front body region 9 in the body-fitted coordinate system of the basic water bucket 4
Figure BDA0003283714580000143
Surface parameter function of the frontal transition area 10
Figure BDA0003283714580000144
Surface parameter function of back body region 11
Figure BDA0003283714580000145
And surface parameter function of the back transition region 12
Figure BDA0003283714580000146
The following transformations are performed:
Figure BDA0003283714580000147
Figure BDA0003283714580000148
Figure BDA0003283714580000151
Figure BDA0003283714580000152
wherein
Figure BDA0003283714580000153
As a function of the surface parameters (F) of the transformed frontal body region 9px(u,v),Fpy(u,v),Fpz(u,v))，
Figure BDA0003283714580000154
As a function of the surface parameters (F) of the transformed back body region 11sx(u,v),Fsy(u,v),Fsz(u,v))，
Figure BDA0003283714580000155
As a function of surface parameters (F) of the transformed frontal transition region 10prx(u,v),Fpry(u,v),Fprz(u,v))，
Figure BDA0003283714580000156
As a function of surface parameters (F) for the transformed frontal transition region 12srx(u,v),Fsry(u,v),Fsrz(u,v))；
The scaling of the main body of the water bucket 2 is completed according to the proportionality coefficient k, and the rotation angle from the basic water bucket 4 to the previous water bucket 5 is changed
Figure BDA0003283714580000157
Is adjusted to
Figure BDA0003283714580000158
And (3) self-adaptive transition calculation of the water bucket root 3.
The method of the step is used for transforming the curved surface parameter functions of the front body area 9, the front transition area 10, the back body area 11 and the back transition area 12 of the basic water bucket 4 by adopting respective corresponding transformation formulas, so that the front body area 9 and the front transition area 10 of the water bucket 4 are kept continuous in first derivative, the back body area 11 and the back transition area 12 are kept continuous in first derivative, the water bucket 2 and the root 3 of the adjacent water bucket are ensured to be continuous in first derivative, and when the main body is zoomed according to the proportion coefficient k, the rotation angle from the basic water bucket 4 to the previous water bucket 5 is changed from the same
Figure BDA0003283714580000159
Is adjusted to
Figure BDA00032837145800001510
In the process, the root parts 3 of the adjacent water buckets are in smooth transition.
Although the description may refer to embodiments, not every embodiment may contain a single embodiment, and such description is for clarity only and will be understood by those skilled in the art: the technical solutions in the embodiments may be combined to form other embodiments as will be understood by those skilled in the art, taking the description as a whole.

Claims (6)

1. A transition self-adaption method for the root part of a bucket of an impulse turbine is characterized by comprising the following steps:
the method comprises the following steps: any bucket (2) on an impulse turbine runner (1) is taken as a basic bucket (4) for transition calculation of a bucket root (3), the bucket (2) connected with the back (8) of the basic bucket (4) is a front bucket (5), the bucket (2) connected with the front (7) of the basic bucket (4) is a rear bucket (6), all the buckets (2) are geometrically congruent, the front (7) of all the buckets (2) is divided into a front body area (9) and a front transition area (10), the back (8) of all the buckets (2) is divided into a back body area (11) and a back transition area (12), wherein the front body area (9) and the front transition area (10) have a common front parting line (13) and a continuous first derivative, the back main body area (11) and the back transition area (12) have a common back parting line (14), the first-order derivatives are continuous, the front transition region (10) of the basic water bucket (4) and the back transition region (12) of the next water bucket (6) have a common boundary line front-back parting line (15), and the first-order derivatives are continuous, the back transition region (12) of the basic water bucket (4) and the front transition region (10) of the previous water bucket (5) have a common boundary line front-back parting line (15), and the first-order derivatives are continuous;
step two: taking the intersection point of the rotation center line (16) of the runner (1) and the symmetry plane (17) of the runner as the origin (18) of the overall coordinate system of the runner (1), taking the rotation center line (16) of the runner (1) as the z-axis of the overall coordinate system of the runner (1), taking a specified straight line passing through the origin (18) of the coordinates on the symmetry plane (18) of the runner as the x-axis, and taking the vector product of the z-axis and the x-axis as the y-axis, and establishing the overall coordinate system (19) of the runner (1);
step three: determining a reference point (20) of each water bucket (2) on the runner (1) for transformation calculation, wherein the position relation between the reference point (20) of each water bucket and the corresponding water bucket (2) is geometrically congruent, and the coordinate of the reference point (20) of the basic water bucket (4) in an overall coordinate system (19) of the runner (1) is (x)0,y0,z0) Abbreviated as
Figure FDA0003283714570000021
The overall coordinate system (19) of the rotating wheel (1) is translated to a reference point (20) of the basic water bucket (4), a new coordinate system is generated to be a body coordinate system (21) of the basic water bucket (4), and the formula for converting the overall coordinate system (19) of the rotating wheel (1) into the body coordinate system (21) of the basic water bucket (4) is as follows
Figure FDA0003283714570000022
Wherein
Figure FDA0003283714570000023
Coordinates (x) in an object coordinate system (21) for arbitrary spatial pointst,yt,zt)，
Figure FDA0003283714570000024
Coordinates (x, y, z) in the global coordinate system (19) for the respective spatial point;
step four: the rotation angle from the basic water bucket (4) to the previous water bucket (5) in the overall coordinate system (19) of the runner (1) is
Figure FDA00032837145700000213
The corresponding transformation matrix is A;
step five: establishing a curved surface parameter function (f) of the front body area (9) under an attached coordinate system (21) of the basic water bucket (4)px(u,v),fpy(u,v),fpz(u, v)), abbreviated as
Figure FDA0003283714570000025
Surface parameter function (f) of the front transition region (10)prx(u,v),fpry(u,v),fprz(u, v)), abbreviated as
Figure FDA0003283714570000026
Surface parameter function (f) of back body area (11)sx(u,v),fsy(u,v),fsz(u, v)), abbreviated as
Figure FDA0003283714570000027
Surface parameter function (f) of the rear transition region (12)srx(u,v),fsry(u,v),fsrz(u, v)), abbreviated as
Figure FDA0003283714570000028
The variation range of the (u, v) parameter of each surface function is [0,1 ]]×[0,1]Surface parameter function of frontal body area (9)
Figure FDA0003283714570000029
When u is 1, the curve parameter function of the front transition region (10) corresponding to the front parting line (13)
Figure FDA00032837145700000210
When u is 0, the curved surface parameter function of the back body area (11) corresponds to the front parting line (13), when u is 1, the curved surface parameter function of the front and back parting lines (15) of the foundation bucket (4) and the next bucket (6), and the back body area
Figure FDA00032837145700000211
When u is 1, the curve parameter function of the back transition region (12) corresponding to the back parting line (14)
Figure FDA00032837145700000212
When u is 0, the front-back parting line (14) corresponds to the back parting line, and when u is 1, the front-back parting line (15) corresponds to the foundation bucket (4) and the previous bucket (5);
step six: when the body of the water bucket (2) needs to be scaled according to the scale coefficient k and the smooth transitional connection of the water bucket roots (3) of the adjacent water buckets (2) is ensured, a new function (T) of the front and back parting lines (15) is established in the overall coordinate system of the rotating wheel (1)x(v),Ty(v),Tz(v) Abbreviated as
Figure FDA0003283714570000031
Establishing a front transition weight function w in a patch coordinate system (21)p(u) and a back transition weight function ws(u) then respectively aligning the surface parameter functions of the surface body region (9) in an attached coordinate system (21) of the basic water bucket (4)
Figure FDA0003283714570000032
Surface parameter function of the frontal transition region (10)
Figure FDA0003283714570000033
Surface parameter function of back body region (11)
Figure FDA0003283714570000034
And surface parameter function of the back transition region (12)
Figure FDA0003283714570000035
The following transformations are performed:
Figure FDA0003283714570000036
Figure FDA0003283714570000037
Figure FDA0003283714570000038
Figure FDA0003283714570000039
wherein
Figure FDA00032837145700000310
As a function of the surface parameters (F) of the transformed frontal body area (9)px(u,v),Fpy(u,v),Fpz(u,v))，
Figure FDA00032837145700000311
Is a function (F) of the surface parameters of the transformed back body region (11)sx(u,v),Fsy(u,v),Fsz(u,v))，
Figure FDA00032837145700000312
As a function of the surface parameters (F) of the transformed frontal transition region (10)prx(u,v),Fpry(u,v),Fprz(u,v))，
Figure FDA00032837145700000313
As a function of surface parameters (F) of the transformed frontal transition region (12)srx(u,v),Fsry(u,v),Fsrz(u,v))；
Thus, the self-adaptive transition calculation of the bucket root (3) when the main body of the bucket (2) is scaled according to the scale coefficient k is completed;
step seven: when the rotation angle from the basic water bucket (4) to the previous water bucket (5) needs to be adjusted in the overall coordinate system of the rotating wheel (1)
Figure FDA0003283714570000041
Is adjusted to
Figure FDA0003283714570000042
Then, solve for
Figure FDA0003283714570000043
The corresponding transformation matrix is B, and a positive transition weight function w is establishedp(u) and a back transition weight function ws(u) establishing a new front and back parting line (15) function (T) in the global coordinate system of the runner (1)x(v),Ty(v),Tz(v) Abbreviated as
Figure FDA0003283714570000044
And respectively performing curved surface parameter functions on the front transition region (10) in a body-fitted coordinate system of the basic water bucket (4)
Figure FDA0003283714570000045
Surface parameter function of the back transition region (12)
Figure FDA0003283714570000046
The following transformations are performed:
Figure FDA0003283714570000047
Figure FDA0003283714570000048
wherein
Figure FDA0003283714570000049
As a function of the surface parameters (F) of the transformed frontal transition region (10)prx(u,v),Fpry(u,v),Fprz(u,v))，
Figure FDA00032837145700000410
As a function of surface parameters (F) of the transformed frontal transition region (12)srx(u,v),Fsry(u,v),Fsrz(u,v))；
Thus, the rotation angle from the basic water bucket (4) to the previous water bucket (5) is completed
Figure FDA00032837145700000411
Is adjusted to
Figure FDA00032837145700000412
Self-adaptive transition calculation of the water bucket root (3);
step eight: when the water bucket needs to be matched(2) The main body is scaled according to a scaling coefficient k, and the rotation angle from the basic water bucket (4) to the previous water bucket (5) is changed
Figure FDA00032837145700000413
Is adjusted to
Figure FDA00032837145700000414
Then, solve for
Figure FDA00032837145700000419
The corresponding transformation matrix is B, and a temporary front and back parting line (15) function is established in the overall coordinate system of the rotating wheel (1)
Figure FDA00032837145700000415
New face-back parting line (15) function (T)x(v),Ty(v),Tz(v) Abbreviated as
Figure FDA00032837145700000416
And a front proportion transition weight function w is established under a body-fitted coordinate system of the basic water bucket (4)kp(u) back proportional transition weight function wks(u) front face rotation transition weight function wrp(u) and back surface rotation transition weight function wrs(u) and respectively aligning the surface parameter function of the front body region (9) in the body coordinate system of the basic water bucket (4)
Figure FDA00032837145700000417
Surface parameter function of the frontal transition region (10)
Figure FDA00032837145700000418
Surface parameter function of back body region (11)
Figure FDA0003283714570000051
And surface parameter function of the back transition region (12)
Figure FDA0003283714570000052
The following transformations are performed:
Figure FDA0003283714570000053
Figure FDA0003283714570000054
Figure FDA0003283714570000055
Figure FDA0003283714570000056
wherein
Figure FDA0003283714570000057
As a function of the surface parameters (F) of the transformed frontal body area (9)px(u,v),Fpy(u,v),Fpz(u,v))，
Figure FDA0003283714570000058
Is a function (F) of the surface parameters of the transformed back body region (11)sx(u,v),Fsy(u,v),Fsz(u,v))，
Figure FDA0003283714570000059
As a function of the surface parameters (F) of the transformed frontal transition region (10)prx(u,v),Fpry(u,v),Fprz(u,v))，
Figure FDA00032837145700000510
As a function of surface parameters (F) of the transformed frontal transition region (12)srx(u,v),Fsry(u,v),Fsrz(u,v))；
Above complete waterThe main body of the bucket (2) is zoomed according to a proportionality coefficient k, and the rotation angle from the basic bucket (4) to the previous bucket (5) is changed from
Figure FDA00032837145700000511
Is adjusted to
Figure FDA00032837145700000512
And (3) self-adaptive transition calculation of the water bucket root (3).
2. The impulse turbine bucket root transition adaptive method as claimed in claim 1, characterized in that: in the first step, the front (7) of all the water hoppers (2) is divided into a front body area (9) and a front transition area (10), the back (8) of all the water hoppers (2) is divided into a back body area (11) and a back transition area (12), wherein the front body area (9) and the front transition area (10) have a common front parting line (13) and a continuous first derivative, the back main body area (11) and the back transition area (12) have a common back parting line (14) and a continuous first derivative, the front transition area (10) of the basic water hopper (4) and the back transition area (12) of the next water hopper (6) have a common front parting line (15) and a common back parting line (15), and the first derivative is continuous, the back transition area (12) of the basic water hopper (4) and the front transition area (10) of the previous water hopper (5) have a common front parting line (15) and a back parting line (15), and the first derivative continues.
3. The impulse turbine bucket root transition adaptive method as claimed in claim 1, characterized in that: in the fifth step, a curved surface parameter function (f) of the front body area (9) is established under an attached coordinate system (21) of the basic water bucket (4)px(u,v),fpy(u,v),fpz(u, v)), abbreviated as
Figure FDA0003283714570000061
Surface parameter function (f) of the front transition region (10)prx(u,v),fpry(u,v),fprz(u, v)), abbreviated as
Figure FDA0003283714570000062
Surface parameter function (f) of back body area (11)sx(u,v),fsy(u,v),fsz(u, v)), abbreviated as
Figure FDA0003283714570000063
Surface parameter function (f) of the rear transition region (12)srx(u,v),fsry(u,v),fsrz(u, v)), abbreviated as
Figure FDA0003283714570000064
The variation range of the (u, v) parameter of each surface function is [0,1 ]]×[0,1]Surface parameter function of frontal body area (9)
Figure FDA0003283714570000065
When u is 1, the curve parameter function of the front transition region (10) corresponding to the front parting line (13)
Figure FDA0003283714570000066
When u is 0, the curved surface parameter function of the back body area (11) corresponds to the front parting line (13), when u is 1, the curved surface parameter function of the front and back parting lines (15) of the foundation bucket (4) and the next bucket (6), and the back body area
Figure FDA0003283714570000067
When u is 1, the curve parameter function of the back transition region (12) corresponding to the back parting line (14)
Figure FDA0003283714570000068
When u is 0, the parting line corresponds to a back parting line (14), and when u is 1, the parting line corresponds to a front and back parting line (15) of the foundation bucket (4) and the previous bucket (5).
4. The impulse turbine bucket root transition adaptive method as claimed in claim 1, characterized in that: in the sixth step, the body of the water bucket (2) is scaled according to the scaling coefficient k when needed, and the adjacent bodies are ensuredWhen the bucket root (3) of the bucket (2) is in smooth transition connection, a new front and back parting line (15) function (T) is established in the overall coordinate system of the runner (1)x(v),Ty(v),Tz(v) Abbreviated as
Figure FDA0003283714570000071
Establishing a front transition weight function w in a patch coordinate system (21)p(u) and a back transition weight function ws(u) then respectively aligning the surface parameter functions of the surface body region (9) in an attached coordinate system (21) of the basic water bucket (4)
Figure FDA0003283714570000072
Surface parameter function of the frontal transition region (10)
Figure FDA0003283714570000073
Surface parameter function of back body region (11)
Figure FDA0003283714570000074
And surface parameter function of the back transition region (12)
Figure FDA0003283714570000075
The following transformations are performed:
Figure FDA0003283714570000076
Figure FDA0003283714570000077
Figure FDA0003283714570000078
Figure FDA0003283714570000079
wherein
Figure FDA00032837145700000710
As a function of the surface parameters (F) of the transformed frontal body area (9)px(u,v),Fpy(u,v),Fpz(u,v))，
Figure FDA00032837145700000711
Is a function (F) of the surface parameters of the transformed back body region (11)sx(u,v),Fsy(u,v),Fsz(u,v))，
Figure FDA00032837145700000712
As a function of the surface parameters (F) of the transformed frontal transition region (10)prx(u,v),Fpry(u,v),Fprz(u,v))，
Figure FDA00032837145700000713
As a function of surface parameters (F) of the transformed frontal transition region (12)srx(u,v),Fsry(u,v),Fsrz(u,v))。
5. The impulse turbine bucket root transition adaptive method as claimed in claim 1, characterized in that: in the seventh step, the rotation angle of the basic water bucket (4) to the previous water bucket (5) in the overall coordinate system of the rotating wheel (1) is determined by
Figure FDA00032837145700000714
Is adjusted to
Figure FDA00032837145700000715
Then, solve for
Figure FDA00032837145700000716
The corresponding transformation matrix is B, and a positive transition weight function w is establishedp(u) and a back transition weight function ws(u) Establishing a new front and back parting line (15) function (T) in the overall coordinate system of the runner (1)x(v),Ty(v),Tz(v) Abbreviated as
Figure FDA00032837145700000717
And respectively performing curved surface parameter functions on the front transition region (10) in a body-fitted coordinate system of the basic water bucket (4)
Figure FDA0003283714570000081
Surface parameter function of the back transition region (12)
Figure FDA0003283714570000082
The following transformations are performed:
Figure FDA0003283714570000083
Figure FDA0003283714570000084
wherein
Figure FDA0003283714570000085
As a function of the surface parameters (F) of the transformed frontal transition region (10)prx(u,v),Fpry(u,v),Fprz(u,v))，
Figure FDA0003283714570000086
As a function of surface parameters (F) of the transformed frontal transition region (12)srx(u,v),Fsry(u,v),Fsrz(u,v))。
6. The impulse turbine bucket root transition adaptive method as claimed in claim 1, characterized in that: in the step eight, when the body of the water bucket (2) needs to be scaled according to the scaling coefficient k, the rotation angle from the basic water bucket (4) to the previous water bucket (5) is simultaneously adjustedDegree by
Figure FDA0003283714570000087
Is adjusted to
Figure FDA0003283714570000088
Then, solve for
Figure FDA0003283714570000089
The corresponding transformation matrix is B, and a temporary front and back parting line (15) function is established in the overall coordinate system of the rotating wheel (1)
Figure FDA00032837145700000810
New face-back parting line (15) function (T)x(v),Ty(v),Tz(v) Abbreviated as
Figure FDA00032837145700000811
And a front proportion transition weight function w is established under a body-fitted coordinate system of the basic water bucket (4)kp(u) back proportional transition weight function wks(u) front face rotation transition weight function wrp(u) and back surface rotation transition weight function wrs(u) and respectively aligning the surface parameter function of the front body region (9) in the body coordinate system of the basic water bucket (4)
Figure FDA00032837145700000812
Surface parameter function of the frontal transition region (10)
Figure FDA00032837145700000813
Surface parameter function of back body region (11)
Figure FDA00032837145700000814
And surface parameter function of the back transition region (12)
Figure FDA00032837145700000815
The following transformations are performed:
Figure FDA00032837145700000816
Figure FDA00032837145700000817
Figure FDA0003283714570000091
Figure FDA0003283714570000092
wherein
Figure FDA0003283714570000093
As a function of the surface parameters (F) of the transformed frontal body area (9)px(u,v),Fpy(u,v),Fpz(u,v))，
Figure FDA0003283714570000094
Is a function (F) of the surface parameters of the transformed back body region (11)sx(u,v),Fsy(u,v),Fsz(u,v))，
Figure FDA0003283714570000095
As a function of the surface parameters (F) of the transformed frontal transition region (10)prx(u,v),Fpry(u,v),Fprz(u,v))，
Figure FDA0003283714570000096
As a function of surface parameters (F) of the transformed frontal transition region (12)srx(u,v),Fsry(u,v),Fsrz(u,v))。
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Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2005174010A (en) * 2003-12-11 2005-06-30 Hitachi Ltd Numerical control curved surface working device
CN104636549A (en) * 2015-02-03 2015-05-20 哈尔滨电机厂有限责任公司 Method for analyzing dynamic stress of bucket of impulse water turbine
US20210017947A1 (en) * 2018-03-28 2021-01-21 Carpyz Sas Method for designing and producing turbines having buckets with calibrated jets
CN112711882A (en) * 2020-12-29 2021-04-27 重庆建筑科技职业学院 Method for constructing fatigue failure model of runner of impulse turbine
CN112983715A (en) * 2021-04-13 2021-06-18 哈尔滨电机厂有限责任公司 Large-scale impulse turbine runner of subdivision manufacturing

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2005174010A (en) * 2003-12-11 2005-06-30 Hitachi Ltd Numerical control curved surface working device
CN104636549A (en) * 2015-02-03 2015-05-20 哈尔滨电机厂有限责任公司 Method for analyzing dynamic stress of bucket of impulse water turbine
US20210017947A1 (en) * 2018-03-28 2021-01-21 Carpyz Sas Method for designing and producing turbines having buckets with calibrated jets
CN112711882A (en) * 2020-12-29 2021-04-27 重庆建筑科技职业学院 Method for constructing fatigue failure model of runner of impulse turbine
CN112983715A (en) * 2021-04-13 2021-06-18 哈尔滨电机厂有限责任公司 Large-scale impulse turbine runner of subdivision manufacturing

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
刘永新等: "水斗式水轮机模型转轮喷管位置测量方法研究", 《黑龙江电力》, vol. 36, no. 6, 31 December 2016 (2016-12-31), pages 554 - 561 *
王波;刘献礼;翟元盛;王宇;刘晶石;: "冲击式水轮机水斗根部的工艺性结构优化", 哈尔滨理工大学学报, no. 02, 15 April 2015 (2015-04-15), pages 7 - 11 *

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