CN113969855B - Blade modification method for inhibiting working condition hump of water pump turbine pump - Google Patents
Blade modification method for inhibiting working condition hump of water pump turbine pump Download PDFInfo
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- CN113969855B CN113969855B CN202111212656.6A CN202111212656A CN113969855B CN 113969855 B CN113969855 B CN 113969855B CN 202111212656 A CN202111212656 A CN 202111212656A CN 113969855 B CN113969855 B CN 113969855B
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- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 title claims abstract description 37
- 238000002715 modification method Methods 0.000 title claims abstract description 23
- 230000002401 inhibitory effect Effects 0.000 title claims abstract description 19
- 230000002441 reversible effect Effects 0.000 claims abstract description 4
- 238000000034 method Methods 0.000 claims description 20
- 230000004048 modification Effects 0.000 claims description 11
- 238000012986 modification Methods 0.000 claims description 11
- 238000009420 retrofitting Methods 0.000 claims description 2
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F03—MACHINES OR ENGINES FOR LIQUIDS; WIND, SPRING, OR WEIGHT MOTORS; PRODUCING MECHANICAL POWER OR A REACTIVE PROPULSIVE THRUST, NOT OTHERWISE PROVIDED FOR
- F03B—MACHINES OR ENGINES FOR LIQUIDS
- F03B3/00—Machines or engines of reaction type; Parts or details peculiar thereto
- F03B3/12—Blades; Blade-carrying rotors
- F03B3/121—Blades, their form or construction
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F03—MACHINES OR ENGINES FOR LIQUIDS; WIND, SPRING, OR WEIGHT MOTORS; PRODUCING MECHANICAL POWER OR A REACTIVE PROPULSIVE THRUST, NOT OTHERWISE PROVIDED FOR
- F03B—MACHINES OR ENGINES FOR LIQUIDS
- F03B11/00—Parts or details not provided for in, or of interest apart from, the preceding groups, e.g. wear-protection couplings, between turbine and generator
- F03B11/04—Parts or details not provided for in, or of interest apart from, the preceding groups, e.g. wear-protection couplings, between turbine and generator for diminishing cavitation or vibration, e.g. balancing
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F03—MACHINES OR ENGINES FOR LIQUIDS; WIND, SPRING, OR WEIGHT MOTORS; PRODUCING MECHANICAL POWER OR A REACTIVE PROPULSIVE THRUST, NOT OTHERWISE PROVIDED FOR
- F03B—MACHINES OR ENGINES FOR LIQUIDS
- F03B3/00—Machines or engines of reaction type; Parts or details peculiar thereto
- F03B3/10—Machines or engines of reaction type; Parts or details peculiar thereto characterised by having means for functioning alternatively as pumps or turbines
- F03B3/103—Machines or engines of reaction type; Parts or details peculiar thereto characterised by having means for functioning alternatively as pumps or turbines the same wheel acting as turbine wheel and as pump wheel
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- Y02P—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
- Y02P70/00—Climate change mitigation technologies in the production process for final industrial or consumer products
- Y02P70/50—Manufacturing or production processes characterised by the final manufactured product
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Abstract
The invention provides a blade modification method for inhibiting a working condition hump of a water pump turbine pump, which comprises the steps of keeping the position of a middle spanwise surface contour line fixed; and fitting the middle spanwise surface contour line with the reverse spanwise surface contour line and the forward spanwise surface contour line into a smooth curved surface, and taking the smooth curved surface as a modified blade. The modified blade obtained by the blade modification method for inhibiting the working condition hump of the water pump turbine pump further changes the spatial distribution characteristic of the vortex group in the bladeless area of the outlet of the rotating wheel by inhibiting the non-uniform flowing area of the outlet of the rotating wheel, thereby disturbing the spatial and temporal distribution characteristic of the vortex group in the bladeless area, finally improving the flowing in a unit and further inhibiting the working condition hump of the water pump turbine pump.
Description
Technical Field
The invention relates to the technical field of inhibition of flow instability phenomena generated when a pump mode of a pump with guide vanes or a water pump turbine operates under partial load working conditions, in particular to a method for inhibiting a characteristic curve hump generated under a low-flow working condition when a mixed-flow water pump turbine with a medium and low specific speed operates under a pump mode.
Background
With the progress of society and the development of technology, people have more and more exploitation and utilization of large quantities of water resources, wherein the development of pumped storage power stations plays a crucial role in the development of hydropower.
However, in practical use, the following problems are involved in the operation of the conventional pump turbine.
Firstly, when a water pump turbine pump mode operates under a deviated working condition, a rotating stall group is easily induced in a bladeless region of a unit due to a strong dynamic and static interference effect between a rotating wheel and a movable guide vane, secondly, an external characteristic hump of the unit is further induced, and at the moment, two or more flows exist in the unit under one lift, strong water pressure pulsation is induced, so that a series of problems of radial force fluctuation of the rotating wheel, unstable rotor dynamics, vibration of the unit and the like are caused.
In order to improve the operation stability of the unit and avoid or inhibit the external characteristic hump, the pump mode of the centrifugal pump or the water pump turbine can be optimized and controlled from many aspects in engineering, such as the optimized design of a rotating wheel, the adjustment of the opening degree of a guide vane, the expansion of the distance between the rotating wheel and the guide vane, the addition of long and short blades and the like.
However, in the optimization design of the runner, the existing literature is based on inverse problem design, and several parameters of the blade are evaluated by some optimization methods such as a design of experiments (DOE), a Response Surface Method (RSM), a genetic algorithm and the like, so as to select the optimal design parameters. In the guide vane design and the guide vane opening and closing rule, a plurality of related design methods and operation modes are summarized in the engineering. Because the flow inside the unit is very complex, the current flow instability mechanism in the pump does not reach the comprehensive system understanding.
By summarizing the prior art, it has been found that the optimization and flow control of the existing runner or guide vane is based on the flow characteristics of the unit itself to determine the optimal design. The optimization method is complex, and the time cost and the processing cost of the optimization are high.
Therefore, in order to better meet the requirement of stable operation of the unit, further analysis and discussion on the unstable flow characteristics and formation mechanism in the unit are needed, and it is expected that the external characteristic hump of the pump mode of the centrifugal pump or the water pump turbine is restrained in an efficient and simple manner from the source, so that better social and economic benefits are obtained.
Disclosure of Invention
In view of the above problems, an object of the present invention is to provide a blade modification method for suppressing a hump in the pump condition of a water pump turbine, which effectively improves the instability phenomenon generated inside the unit by integrally tilting the runner blades.
The invention provides a blade modification method for inhibiting a hump of a pump working condition of a water pump turbine, wherein the blade comprises a rotating wheel, a reference blade, an upper crown, a lower ring and a middle spanwise surface, the reference blade and the upper crown are intersected to form a first spanwise surface contour line of the reference blade, the reference blade and the lower ring are intersected to form a 2n +1 th spanwise surface contour line of the reference blade, and the reference blade and the middle spanwise surface are intersected to form a middle spanwise surface contour line of the reference blade; the retrofitting method comprises the following steps;
keeping the position of the middle spanwise surface contour line fixed;
respectively rotating each spanwise surface contour line between the first spanwise surface contour line and the middle spanwise surface contour line to a preset angle around the central line of the rotating wheel in the opposite direction of the rotation of the rotating wheel to form an opposite spanwise surface contour line; and respectively rotating the 2n +1 th spanwise surface contour line and each spanwise surface contour line between the 2n +1 th spanwise surface contour line and the middle spanwise surface contour line around the rotation center line of the rotating wheel towards the positive direction of the rotation of the rotating wheel by a preset angle to form a positive direction spanwise surface contour line;
and fitting the middle spanwise surface contour line with the reverse spanwise surface contour line and the forward spanwise surface contour line into a smooth curved surface, and taking the smooth curved surface as a modified blade.
In addition, it is preferable that the specific value of n is determined according to a degree of distortion of the reference blade; wherein,
the minimum value of n is 2.
In addition, preferred scheme is, the in-process of negative direction and positive direction rotation first spanwise surface contour line 2n +1 spanwise surface contour line and first spanwise surface contour line with the rotation angle and each spanwise surface contour line of spanwise surface contour line between the 2n +1 spanwise surface contour line extremely the distance of middle spanwise surface is in proportion.
In addition, it is preferable that when n is 2;
rotating the first spanwise surface contour line around the center line of the rotating wheel by theta/2 along the opposite direction of the rotation of the rotating wheel, and rotating the spanwise surface contour line between the first spanwise surface contour line and the middle spanwise surface contour line around the center line of the rotating wheel by theta/4 along the opposite direction of the rotation of the rotating wheel;
similarly, the 2n +1 st spanwise surface contour line is rotated by theta/2 around the rotation center line of the rotating wheel toward the positive direction of rotation of the rotating wheel, and the spanwise surface contour line between the 2n +1 st spanwise surface contour line and the middle spanwise surface contour line is rotated by theta/4 around the center line of the rotating wheel along the positive direction of rotation of the rotating wheel.
In addition, it is preferable that the contour lines between the first spanwise contour line and the 2n +1 th spanwise contour line are arranged at equal intervals.
In addition, the preferred scheme is that the inclination angle theta of the francis turbine at the middle and low specific speed is at least 6 degrees.
Compared with the prior art, the blade modification method for inhibiting the working condition hump of the water pump turbine pump has the following advantages and technical effects:
the modification method is simple: the whole blade is inclined at a large angle, so that the blade is inclined towards the rotating direction, the obtained geometric model of the modified blade is simple, the optimization flow is greatly simplified, and the production efficiency and the working reliability are improved.
Wide adaptability: most of the existing optimization technologies are specifically optimizing and modifying the guide vane, and the shape and the opening and closing rule of the guide vane are specially selected, so that the optimization is complex, and the limitation of a specific geometric model is realized.
The invention starts from disturbing the dynamic and static interference between the rotating wheel and the guide vane, namely, the original blade outlet is vertically modified into the outlet with a large inclination angle from the near direction, so that the synchronous low-frequency phases in each span direction of the original rotating wheel blade outlet are disturbed to form asynchronous low-frequency phases, and further the space-time distribution characteristic of a bladeless zone vortex group is changed.
And thirdly, the distribution of the inlet and outlet angles of the runner in the spanwise direction is not changed, and the adverse effect caused by the change of the blade angle is eliminated.
Therefore, the blade modification method for inhibiting the working condition hump of the water pump turbine pump has the characteristics of simple modification, obvious function and wide applicability. Compared with the prior art, the method improves the fussy optimization process, and ensures the working reliability, representativeness and use convenience.
To the accomplishment of the foregoing and related ends, one or more aspects of the invention comprise the features hereinafter fully described and particularly pointed out in the claims. The following description and the annexed drawings set forth in detail certain illustrative aspects of the invention. These aspects are indicative, however, of but a few of the various ways in which the principles of the invention may be employed. Further, the present invention is intended to include all such aspects and their equivalents.
Drawings
Other objects and results of the present invention will become more apparent and more readily appreciated as the same becomes better understood by reference to the following description and appended claims, taken in conjunction with the accompanying drawings. In the drawings:
FIG. 1 shows a flow chart of a blade modification method for suppressing humps in the operating conditions of a water pump turbine according to the invention.
Fig. 2 shows a structural schematic diagram of the pump turbine according to the embodiment of the invention.
FIG. 3 shows a schematic view of a rotor structure according to an embodiment of the invention.
FIG. 4 illustrates a three-dimensional view of a runner reference blade according to an embodiment of the invention.
Fig. 5 is a schematic diagram illustrating a modification method of the first spanwise contour line according to an embodiment of the present invention.
FIG. 6 shows a schematic view of a modification of the spanwise profile of a blade according to an embodiment of the invention.
FIG. 7 illustrates a three-dimensional view of a modified blade according to an embodiment of the invention.
Description of the drawings:
1. a draft tube; 2. a rotating wheel; 3. a movable guide vane; 4. fixing guide vanes; 5. a volute; 6. a reference blade; 7. crown forming; 8. a lower ring; 9. a middle spanwise plane; 10. a first spanwise contour line; 11. the 2n +1 spanwise surface contour lines; 12. the middle spanwise plane contour line.
The same reference numbers in all figures indicate similar or corresponding features or functions.
Detailed Description
The principles of the present invention, as well as modifications thereof, will be described in detail below with reference to the accompanying drawings.
FIG. 1 is a flow chart illustrating a method for blade modification to inhibit hump in the operating condition of a water pump turbine according to the present invention; FIG. 2 is a schematic diagram of a pump turbine according to an embodiment of the present invention; FIG. 3 shows a schematic view of a rotor structure according to an embodiment of the invention; FIG. 4 illustrates a three-dimensional view of a runner reference blade according to an embodiment of the invention; FIG. 5 is a schematic diagram illustrating a modification of a first spanwise contour line according to an embodiment of the present invention; FIG. 6 shows a schematic diagram of a method of modifying a spanwise surface contour of a blade according to an embodiment of the invention; and, FIG. 7 shows a three-dimensional view of a modified blade according to an embodiment of the invention.
As shown in fig. 2, which is a schematic structural diagram of the pump-turbine according to the present invention, the pump-turbine specifically includes a draft tube 1, a runner 2, a movable guide vane 3, a fixed guide vane 4, and a volute 5.
When the pump turbine operates in a pump mode, water flows in from the draft tube 1, passes through the rotating wheel 2, the movable guide vane 3 and the fixed guide vane 4 and then flows out from the volute 5. Because a bladeless area exists between the rotating wheel 2 and the movable guide vane 3, a dynamic and static interference effect is easily generated between the rotating wheel 2 and the movable guide vane 3 in the operation process of the rotating wheel 2, the dynamic and static interference effect can induce the unstable flow of the bladeless area, so that the unstable flow develops and propagates towards the bladeless area, and a performance curve hump is induced.
The invention aims to improve the flow characteristic of a runner 2, inhibit the hump of the working condition of a water pump turbine pump and perform blade modification based on a reference blade 6.
Fig. 3 shows a schematic view of a runner structure according to an embodiment of the present invention, including a reference blade 6, an upper crown 7 and a lower ring 8, where the upper crown 7 is disposed at the bottom of the reference blade 6, and the lower ring 8 is disposed at the top of the reference blade 6.
Fig. 4 shows a three-dimensional view of a runner reference blade according to an embodiment of the invention, comprising a middle spanwise plane 9, the reference blade 6 intersecting the crown 7 to form a first spanwise plane contour line 10 of the reference blade 6, the reference blade 6 intersecting the under-ring 8 to form a 2n +1 th spanwise plane contour line 11 of the reference blade 6 and the reference blade 6 intersecting the middle spanwise plane 9 to form a middle spanwise plane contour line 12 of the reference blade 6.
The principle of the blade modification method for inhibiting the hump of the working condition of the water pump turbine pump is that the reference blade 6 is used as a reference, and the contour lines on different spanwise surfaces are rotated, so that the aim of blade modification is fulfilled.
The invention relates to a blade modification method for inhibiting a working condition hump of a water pump turbine pump, which comprises the following steps of:
keeping the position of the middle spanwise surface contour line 12 fixed;
respectively rotating each spanwise surface contour line between the first spanwise surface contour line 10 and the first spanwise surface contour line 10 to the middle spanwise surface contour line 12 around the center line of the rotating wheel 2 by a preset angle in the opposite direction of the rotation of the rotating wheel 2 to form an opposite-direction spanwise surface contour line; and the number of the first and second groups,
and respectively rotating each spanwise surface contour line between the 2n +1 th spanwise surface contour line 11 and the 2n +1 th spanwise surface contour line 11 to the middle spanwise surface contour line 12 by a preset angle around the rotation center line of the rotating wheel 2 towards the positive direction of the rotation of the rotating wheel 2 to form a positive direction spanwise surface contour line.
And (3) fitting the middle spanwise surface contour line 12 and the spanwise surface contour lines after the forward rotation and the reverse rotation into a smooth curved surface, and taking the smooth curved surface as a modified blade.
In detail, in the embodiment of the present invention, the contour lines between the first spanwise contour line 10 and the 2n +1 th spanwise contour line 11 are equally divided into 2n +1 contour lines.
In detail, in the embodiment of the present invention, the specific value of n is determined according to the degree of distortion of the reference blade 6, taking the maximum value when the degree of distortion is large, and taking the minimum value when the degree of distortion is small; wherein the minimum value of n is 2.
In detail, in the embodiment of the invention, in order to achieve the effect of suppressing the external characteristic hump, the inclination angle theta of the mixed-flow pump turbine at the medium and low specific speed is at least 6 degrees.
In more detail, the position of the middle spanwise surface contour line 12 is kept fixed; the rotation angles of the first spanwise contour line 10, the 2n +1 th spanwise contour line 11 and the spanwise contour lines between the first spanwise contour line 10 and the 2n +1 th spanwise contour lines 11 during the positive rotation and the negative rotation are proportional to the distances of the respective spanwise contour lines from the intermediate spanwise plane 9.
More specifically, as shown in fig. 5, a method of modifying a spanwise contour line is shown, where a dotted line is the spanwise contour line of the reference blade 6, and a solid line is the spanwise contour line of the modified blade according to the present invention, where D 1 Is the inlet diameter of the runner 2, D 2 Is the diameter of the outlet of the runner 2.
As can be seen from the figure, the first spanwise surface contour line 10 rotates by theta/2 around the rotation center line towards the positive direction of the rotation of the runner, at this time, the inlet and the outlet of the blade are respectively inclined by theta/2 degrees around the rotation center line, and the arrangement angles of the inlet and the outlet of the blade are not changed.
In more detail, as shown in fig. 6, as a specific example, when n is 2; keeping the position of the middle spanwise surface contour line 12 fixed;
rotating the first spanwise surface contour line 10 around the center line of the runner 2 by theta/2 along the opposite direction of the rotation of the runner 2, and rotating the spanwise surface contour line between the first spanwise surface contour line 10 and the middle spanwise surface contour line 12 around the center line of the runner 2 by theta/4 along the opposite direction of the rotation of the runner 2;
similarly, the 2n +1 st spanwise surface contour line 11 is rotated by θ/2 around the rotation center line of the runner 2 in the positive direction of rotation of the runner 2, and the spanwise surface contour line between the 2n +1 st spanwise surface contour line 11 and the intermediate spanwise surface contour line 12 is rotated by θ/4 around the center line of the runner 2 in the positive direction of rotation of the runner 2.
In this way, the middle spanwise surface contour line 12 and each spanwise surface contour line after rotation are fitted into a smooth curved surface, and the modified blade is obtained.
As can be seen from the observation of FIG. 6, the outlet of the obtained modified blade is obviously inclined by the blade modification method for inhibiting the hump of the working condition of the water pump turbine pump.
Fig. 7 shows a three-dimensional diagram of a modified blade with a large inclination angle (θ is 15 °), and it can be seen from an observation compared with fig. 3 that, except for the middle spanwise surface contour line 12 of the reference blade 6 formed by intersecting the reference blade 6 with the middle spanwise surface 9, large-angle staggered inclination is generated on other spanwise surface contour lines, an included angle between the modified blade and the horizontal plane of the runner 2 becomes small, a dynamic and static interference effect between the runner 2 and the movable guide vane 3 in the reference blade 6 is disturbed, and a purpose of suppressing a curve hump is achieved.
Compared with the prior art, the blade modification method for inhibiting the working condition hump of the water pump turbine pump has the following advantages and technical effects:
1. the blade modification method for inhibiting the working condition hump of the water pump turbine pump is simple, the whole blade is inclined at a large angle, so that the blade is inclined towards the rotating direction, the obtained geometric model of the modified blade is simple, the optimization process is greatly simplified, and the production efficiency and the working reliability are improved.
2. The blade modification method for inhibiting the working condition hump of the water pump turbine pump has wide adaptability, most of the existing optimization technologies are specifically used for optimizing and modifying the runner, and the shape and the opening and closing rule of the guide vane are specially selected, so that the optimization is complex, and the limitation of a specific geometric model is realized.
The invention starts from disturbing the dynamic and static interference between the rotating wheel and the guide vane, namely, the original blade outlet is vertically modified into the outlet with a large inclination angle from the near direction, so that the synchronous low-frequency phases in each span direction of the original rotating wheel blade outlet are disturbed to form asynchronous low-frequency phases, and further the space-time distribution characteristic of a bladeless zone vortex group is changed.
3. The invention relates to a blade modification method for inhibiting the working condition hump of a water pump turbine pump, which does not change the distribution of the inlet and outlet angles of a rotating wheel in each span direction and eliminates the flow influence caused by the change of the blade angle.
The invention aims to disturb the dynamic and static interference effect between the rotating wheel and the guide vane by changing the relative space position between the impeller outlet and the guide vane inlet on different spanwise surfaces, further disturb the synchronous low-frequency phase in each spanwise direction of the blade outlet of the rotating wheel, and finally change the space-time distribution characteristic of the vortex group in the bladeless area.
The method is simple and effective, is beneficial to long-term and stable operation of a unit under a low-load working condition, provides a feasible direction for stable operation of hydraulic equipment, can be widely applied to flow field control of a hydraulic experiment, and particularly can be effectively applied to unstable flow control of a medium-low specific speed mixed-flow water pump turbine pump mode, so that safe and stable operation of a hydropower station is improved, and efficient and safe utilization of water resources is realized.
The blade modification method for suppressing the hump of the working condition of the water pump turbine pump according to the present invention is described above by way of example with reference to fig. 1 to 7. However, it should be understood by those skilled in the art that various modifications can be made to the blade modification method for suppressing the hump of the working condition of the water pump turbine pump without departing from the scope of the invention. Therefore, the scope of the present invention should be determined by the contents of the appended claims.
Claims (6)
1. A blade modification method for inhibiting humps of working conditions of a pump of a water pump turbine comprises a rotating wheel (2), wherein the rotating wheel (2) comprises a reference blade (6), an upper crown (7), a lower ring (8) and a middle spanwise surface (9), the reference blade (6) and the upper crown (7) are intersected to form a first spanwise surface contour line (10) of the reference blade (6), the reference blade (6) and the lower ring (8) are intersected to form a 2n +1 spanwise surface contour line (11) of the reference blade (6), and the reference blade (6) and the middle spanwise surface (9) are intersected to form a middle spanwise surface contour line (12) of the reference blade (6); the retrofitting method comprises the following steps;
keeping the position of the middle spanwise surface contour line (12) fixed;
respectively rotating the first spanwise surface contour line (10) and each spanwise surface contour line between the first spanwise surface contour line (10) and the middle spanwise surface contour line (12) around the central line of the rotating wheel (2) by a preset angle in the opposite direction of the rotation of the rotating wheel (2) to form an opposite-direction spanwise surface contour line; respectively rotating each spanwise surface contour line between the 2n +1 spanwise surface contour line (11) and the 2n +1 spanwise surface contour line (11) to the middle spanwise surface contour line (12) by a preset angle around the rotation center line of the rotating wheel (2) towards the positive direction of rotation of the rotating wheel (2) to form a positive direction spanwise surface contour line;
and (3) fitting the middle spanwise surface contour line (12) with the reverse spanwise surface contour line and the forward spanwise surface contour line into a smooth curved surface, and taking the smooth curved surface as a modified blade.
2. The blade modification method for inhibiting the hump of the working condition of the water pump turbine pump as claimed in claim 1, characterized in that:
the specific value of n is determined according to the distortion degree of the reference blade (6); wherein,
the minimum value of n is 2.
3. The method of claim 2 for blade modification to suppress humps in the operating conditions of a water pump turbine pump,
in the rotatory in-process in opposite direction and positive direction first span to face contour line (10) 2n +1 span to face contour line (11) and be in first span to face contour line (10) with span between 2n +1 span to face contour line (11) is to the rotation angle of face contour line with each span to face contour line extremely the distance of middle span to face (9) is proportional.
4. The method of claim 3 for blade modification to suppress humps in the operating conditions of a water pump turbine pump,
when said n = 2;
rotating the first spanwise surface contour line (10) around the center line of the rotating wheel (2) in the opposite direction of the rotation of the rotating wheel (2)
A spanwise surface contour line between the first spanwise surface contour line (10) and the middle spanwise surface contour line (12) is rotated around the center line of the rotating wheel (2) along the direction opposite to the rotating direction of the rotating wheel (2)
/4；
Similarly, the 2n +1 th spanwise surface contour line (11) rotates around the rotation center line of the rotating wheel (2) towards the positive direction of the rotation of the rotating wheel (2)
And the spanwise surface contour line between the 2n +1 th spanwise surface contour line (11) and the middle spanwise surface contour line (12) rotates around the center line of the rotating wheel (2) along the positive direction of the rotation of the rotating wheel (2)
/4。
5. The method of claim 1 for blade modification to suppress humps in the operating conditions of a water pump turbine pump,
the contour lines between the first spanwise contour line (10) and the 2n +1 th spanwise contour line (11) are arranged at equal intervals.
6. The blade modification method for suppressing the hump of the working condition of the water pump turbine as claimed in claim 1 or 2,
in the mixed-flow pump turbine with medium and low specific speed, the inclination angle of the modified blade
At least 6 deg..
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