CN105740221A - Method for generating integrated operation characteristic curve of mixed-flow type prototype water turbine - Google Patents
Method for generating integrated operation characteristic curve of mixed-flow type prototype water turbine Download PDFInfo
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Abstract
The invention relates to a three-dimensional model conversion technology, aims to solve the problems of high workload, numerous human influence factors, low working efficiency and low drawing precision due to the need for making an auxiliary line during conversion of an integrated characteristic curve of a mixed-flow type model water turbine into an integrated operation characteristic curve of a mixed-flow type prototype water turbine at present, and provides a method for generating the integrated operation characteristic curve of the mixed-flow type prototype water turbine. The method comprises the steps of according to the integrated characteristic curve of the model water turbine, calculating coordinates of points on curves such as an equal efficiency curve, an equal output curve, an equal draft height curve, an equal guide vane opening curve, an equal pressure pulsation curve and the like of the prototype water turbine through computer software; based on this, drawing corresponding isoplethic curves, output limiting curves and the like of the prototype water turbine on H-P and Q-H plane coordinate graphs; and further obtaining operation region partitions of the mixed-flow type prototype water turbine. The method is suitable for converting the integrated characteristic curve of the mixed-flow type model water turbine into the integrated operation characteristic curve of the mixed-flow type prototype water turbine.
Description
Technical field
The present invention relates to threedimensional model transformation technology, be converted into mixed particularly to a kind of mixed-flow model turbine combined characteristic
The method of streaming prototype water turbine operating combined characteristic.
Background technology
Prototype water turbine, refers to be become by the changes mechanical energy of current in power station the mechanical energy of runner, makes runner and main shaft overcome respectively
The machine planting resistance and continuously run, is referred to as " heart " in power station, and its safe and highly efficient operation is to hydroelectric power plant's economic benefit
Performance there is conclusive effect.Prototype water turbine is to be transformed by model turbine by the principle of similitude, therefore prototype water wheels
Machine operating combined characteristic is also to be obtained through Similarity Transformation and correction by model turbine combined characteristic.
Prototype water turbine operating combined characteristic is the important evidence of Optimized Scheduling of Hydroelectric Power.In order to according to network load, upstream
Come the water yield and water levels of upstream and downstream etc. reasonably to distribute actual the exerting oneself of each unit in hydroelectric power plant and obtain optimal economic benefit, scheduling unit
Door and hydroelectric power plant need prototype water turbine to operate combined characteristic, with grasp comprehensively the head of prototype water turbine, flow, exert oneself,
The characteristics such as efficiency, guide vane opening, cavitation, pressure fluctuation and mutual relation thereof and optimized operation region.For this reason, it may be necessary to press
The principle of similitude and correction, be converted into prototype water turbine operating combined characteristic by model turbine combined characteristic.
In currently available technology, the implementation of solution the problems referred to above immediate with the present invention is: in order to by mixed-flow model water wheels
Machine combined characteristic is converted into mixed-flow prototype water turbine operating combined characteristic, needs first to draw respectively in plane coordinates figure
Efficiency boost line η under head HT=f (PP), draught-height boost line Hs=f (PP), guide vane opening line boost line
a0=f (PP), remake some horizontal lines and intersect with boost line, each intersection point is moved to H-PPIn coordinate diagram and the most smooth be linked to be song
Line, be corresponding isoefficiency curve, etc. draught-height line, etc. guide vane opening line.
In prior art, mixed-flow model turbine combined characteristic is converted into mixed-flow prototype water turbine operating overall characteristic
During curve, owing to the most commonly used way is to need first to draw the efficiency boost line under each head H in plane coordinates figure
ηT=f (PP), draught-height boost line Hs=f (PP), guide vane opening line boost line a0=f (PP), remake some horizontal lines with
Boost line intersects, and each intersection point is moved to H-PPIn coordinate diagram and the most smooth be linked to be curve, just can obtain required isoefficiency curve,
Etc. draught-height line, etc. guide vane opening line.The method workload is big, artifical influence factor is many, work efficiency and cartographic accuracy low,
Failing to give full play to the advantage of computer-aided design, the curve of drafting also cannot meet the requirement of set optimization scheduling, is unfavorable for
Power plant safety and the performance of economic benefit.
Summary of the invention
The invention aims to solve, in prior art, mixed-flow model turbine combined characteristic to be converted into mixed-flow
Prototype water turbine operating combined characteristic time, workload is big, artifical influence factor is many, work efficiency and cartographic accuracy low, paint
The curve of system also cannot meet the requirement of set optimization scheduling, the problem being unfavorable for the performance of power plant safety and economic benefit.
For reaching above-mentioned purpose, the present invention provides a kind of method generating mixed-flow prototype water turbine operating combined characteristic, bag
Include following steps:
Coordinate calculates: in the range of hydraulic turbine operating head, chooses some evenly spaced heads, calculates each head pair respectively
Prototype water turbine unit speed n answered11pAnd corresponding model turbine unit speed n11m;According to each model turbine list described
Position rotating speed n11mMake each isoefficiency curve in parallel lines and model turbine combined characteristic figure, etc. aperture line, equal pressure pulsation line,
The blade water inlet positive back side, limit cavitation inception line or separation of flow line, vortex tape is nascent and development line intersects, and reads each contour intersection point corresponding
Model turbine unit speed n11m, specific discharge Q11m, efficiency etam, guide vane opening a0m;Utilize the principle of similitude and revise public affairs
Formula, calculates the efficiency eta of prototype water turbine corresponding under each headp, flow Qp, exert oneself Pp, aperture a0p, obtain prototype water wheels
The coordinate η of point on each isoefficiency curve of machinepi=f (Ppij,Hij) and ηpi=f (Hij,Qpij), the coordinate of point on the guide vane opening line such as each
a0i=f (Ppij,Hij) and a0i=f (Hij,Qpij) and equal pressure pulsation line, the blade water inlet positive back side, limit cavitation inception line or the separation of flow
Line, vortex tape are come into being and the coordinate of point on development line;
Mixed-flow prototype water turbine isoefficiency curve is drawn: in the range of hydraulic turbine operating head, make model turbine unit speed n11m
Parallel lines are tangent with each isoefficiency curve turning point of model combined characteristic figure, calculate each point of contact coordinate ηpi=f (Ppi,Hi) and
ηpi=f (Hi,Qpi), described point of contact coordinate is prototype water turbine each isoefficiency curve turning point;By calculated described prototype water wheels
Point and described turning point on each isoefficiency curve of machine are drawn in respectively on H-P, Q-H plane coordinates figure according to the order taken a little and connect
Become smooth curve, described in the smooth curve that is linked to be the isoefficiency curve of prototype water turbine;Calculate model turbine best efficiency point
Corresponding prototype water turbine peak efficiency point coordinates ηpmax=f (Popt,Hd) and ηpmax=f (Hd,Qopt), and be drawn in respectively H-P,
On Q-H plane coordinates figure, it is the peak efficiency operating point of prototype water turbine;
Mixed-flow prototype water turbine etc. goes out the line of force and draws: the H-P plane at mixed-flow prototype water turbine operating combined characteristic is sat
In marking on a map, make P=Pmax, P=PrAnd P ≈ 0.9Pr、P≈0.8Pr、……、P≈0.3Pr、P≈0.2PrFlat etc. exerting oneself
Line intersects with the isoefficiency curve of prototype water turbine, reads the head H of each intersection point;Formula Q=P/ (gH η) is utilized to calculate each intersection point
Flow Q, obtain (P, η, H, Q) value of each intersection point;The point P in the line of force is gone out by each etc.i=f (Hij,Qij) suitable according to take a little
Sequence is drawn on Q-H plane coordinates figure and is linked to be smooth curve, is prototype water turbine etc. and goes out the line of force, PrRepresent nominal output;
The draught-height lines such as mixed-flow prototype water turbine are drawn: according to hydraulic turbine operating head H scope and model cavitation factor sigmamGreatly
Little and distribution situation, drafts several suitable draught-height H every 1~2msValue;Utilize formulaCalculate different HsCorresponding prototype water turbine working head H and unit speed n11p
And corresponding model turbine unit speed n11m;Utilize model turbine unit speed n11mMake parallel lines comprehensive with model turbine
Performance diagram respectively waits cavitation coefficient, cavitation factor, Toma coefficient line intersect, read the efficiency eta of intersection pointmWith specific discharge Q11m;Calculate prototype water turbine
Exert oneself P and flow Q and the draught-height line such as each on the coordinate H of pointsi=f (Ppij,Hij) and Hsi=f (Hij,Qij);Each grade is inhaled
The point gone out on altitude line is drawn in respectively on H-P, Q-H plane coordinates figure according to the order taken a little and is linked to be smooth curve, is former
The draught-height lines such as the type hydraulic turbine;
Mixed-flow prototype water turbine restraining line of exerting oneself is drawn: rated head is sent out the point of nominal output and at minimum head, maximum stator
The force that goes out of aperture is linked to be a straight line, is output of hydraulic turbine restraining line;
The guide vane opening line such as mixed-flow prototype water turbine is drawn: by the coordinate of point on the guide vane opening line such as each of mixed-flow prototype water turbine
a0i=f (Ppij,Hij) and a0i=f (Hij,Qpij) be drawn in respectively on H-P, Q-H plane coordinates figure according to the order taken a little and be linked to be
Smooth curve, i.e. obtains the aperture lines such as prototype water turbine is corresponding;
Mixed-flow prototype water turbine equal pressure pulsation line is drawn: the coordinate of point on line of being pulsed by each equal pressure of mixed-flow prototype water turbine
It is drawn in respectively on H-P, Q-H plane coordinates figure according to the order taken a little and is linked to be smooth curve, i.e. obtaining mixed-flow prototype water turbine
Corresponding equal pressure pulsation line;
The mixed-flow prototype water turbine blade water inlet positive back side, limit cavitation inception line or separation of flow line, vortex tape is nascent and development line is drawn: will
The each blade water inlet positive back side, limit cavitation inception line of mixed-flow prototype water turbine or separation of flow line, vortex tape be nascent and the coordinate of development line etc.
It is drawn in respectively on H-P, Q-H plane coordinates figure according to the order taken a little and is linked to be smooth curve, i.e. obtaining mixed-flow prototype water turbine
The corresponding blade water inlet positive back side, limit cavitation inception line or separation of flow line, vortex tape be nascent and development line.
Further, during restraining line of exerting oneself is drawn, for being provided with the unit of EIAJ, the method for drafting of its restraining line of exerting oneself is as follows:
The point of nominal output is sent out and in minimum head, the going out of maximum guide vane opening by sending out a point for minimum head for EIAJ, rated head
Force is linked to be straight line, is output of hydraulic turbine restraining line.
Specifically, for Francis turbine, also including that operation area is drawn, described operation area includes stable operation district, mistake
Loading zone, do not recommend Operational Zone, allow Operational Zone, forbid Operational Zone and vortex rope district, each operation area described is according to prototype water
Turbine etc. draught-height line, restraining line of exerting oneself, equal pressure pulsation line, blade water inlet the positive back side, limit cavitation inception line or separation of flow line,
Vortex tape is nascent and development line etc. comprehensively determines.
Preferably, when choosing some evenly spaced heads, the head number chosen is 8 to 12, in selected head
Comprise minimum head, rated head and maximum head.The quantity of a kind of preferred head number is 10.
The invention has the beneficial effects as follows:
It is bent that the mixed-flow model turbine combined characteristic using the present invention is converted into mixed-flow prototype water turbine operating overall characteristic
The method of line, eliminates and makees efficiency boost line ηT=f (PP), etc. draught-height boost line Hs=f (PP), etc. guide vane opening line auxiliary
Index contour a0=f (PP) etc. intermediate link, fully saved make prototype water turbine combined characteristic time, improve drawing effect
Rate;
When coordinate calculates, give full play to the powerful calculating of computer EXCEL software, drawing advantage, by model corresponding for each head
Unit speed of hydraulic turbine n11m, specific discharge Q11m, efficiency etam, aperture a0mEtc. inserting in EXCEL table, i.e. available relevant public
Formula, calculates the efficiency eta of prototype water turbine in EXCEL table automaticallyp, flow Qp, exert oneself Pp, aperture a0pDeng and be depicted as
Corresponding equivalent curve;
Specify that on Q-H plane coordinates figure draw mixed-flow prototype water turbine operating combined characteristic method and etc. go out the line of force
Calculating, method for drafting, for traffic department and hydroelectric power plant utilize mixed-flow prototype water turbine operating combined characteristic reasonably distribute
Actual the exerting oneself of each unit provides technical support;
Specify that each isoefficiency curve turning point (i.e. peak or (with) minimum point of mixed-flow model combined characteristic figure) choosing
The method taking and being converted into mixed-flow prototype water turbine each isoefficiency curve turning point, for rationally determining each equivalence of mixed-flow prototype water turbine
The peak of rate line or (with) minimum point and the scope of curve and shape provide foundation;
Specify that the method that mixed-flow model turbine best efficiency point is converted into mixed-flow prototype water turbine best efficiency point, for closing
Reason determines that the peak efficiency operating point of mixed-flow prototype water turbine provides foundation.
Specify that mixed-flow prototype water turbine equal pressure pulsation line, the blade water inlet positive back side, limit cavitation inception line or separation of flow line, Ye Dao
Coming into being and the method for drafting of development line in whirlpool, division and drafting for mixed-flow prototype water turbine operation area provide foundation.
Detailed description of the invention:
Below to the present invention to be converted into the operating of mixed-flow prototype water turbine according to mixed-flow model turbine combined characteristic comprehensive
Characteristic method is further elaborated.
The present invention solves in prior art, mixed-flow model turbine combined characteristic is converted into mixed-flow prototype water turbine
Operating combined characteristic time, workload is big, artifical influence factor is many, work efficiency and cartographic accuracy low, the curve of drafting is also
The requirement of set optimization scheduling, the problem being unfavorable for the performance of power plant safety and economic benefit, it is provided that one both may be used cannot be met
Save and make boost line to significantly reduce workload and artifical influence factor, it is also possible to give full play to the advantage of computer-aided design,
To improve work efficiency and cartographic accuracy, to meet the requirement that set optimization is dispatched, and technology simple, convenient to carry out solves
Scheme.The idiographic flow of the program is as follows.
1, list calculates: 1) in the range of hydraulic turbine operating head, takes some evenly spaced heads, typically takes 8~12,
And comprise minimum head, rated head and maximum head.Calculate the prototype water turbine unit speed that each head is corresponding respectively
n11pAnd corresponding model turbine unit speed n11m, with each n11mValue is made in parallel lines and model turbine combined characteristic figure
Each isoefficiency curve, etc. guide vane opening line, equal pressure pulsation line and the blade water inlet positive back side, limit cavitation inception line or separation of flow line, leaf
Whirlpool, road is nascent and development line etc. is intersected, by model turbine unit speed n corresponding for each intersection point11m, specific discharge Q11m, efficiency etam、
Aperture a0mEtc. inserting in EXCEL table;2) principle of similitude and correction formula, row EXCEL table is utilized to calculate correspondence under each head
The efficiency eta of prototype water turbinep, flow Qp, exert oneself Pp, aperture a0pDeng, obtain point on each isoefficiency curve of prototype water turbine
Coordinate ηpi=f (Ppij,Hij) and ηpi=f (Hij,Qpij), the coordinate a of point on the guide vane opening line such as each0i=f (Ppij,Hij) and
a0i=f (Hij,Qpij) and equal pressure pulsation line, the blade water inlet positive back side, limit cavitation inception line or separation of flow line, vortex tape are nascent and
The coordinate of development line etc..
2, isoefficiency curve is drawn:
1) in the range of hydraulic turbine operating head, model turbine unit speed n is made11mParallel lines and model combined characteristic figure
Each isoefficiency curve turning point is tangent, and isoefficiency curve turning point is peak and/or the minimum point of model turbine combined characteristic,
Calculate each point of contact coordinate ηpi=f (Ppi,Hi) and ηpi=f (Hi,Qpi), described point of contact coordinate is each isoefficiency curve of prototype water turbine
Turning point;
2) point on each isoefficiency curve of calculated prototype water turbine and described turning point are drawn in respectively according to the order taken a little
On H-P, Q-H plane coordinates figure and be linked to be smooth curve, described in the smooth curve that is linked to be prototype water turbine etc. efficiency
Line;
3) the prototype water turbine peak efficiency point coordinates η that model turbine best efficiency point is corresponding is calculatedpmax=f (Popt,Hd) and
ηpmax=f (Hd,Qopt), and be drawn in respectively on H-P, Q-H plane coordinates figure, it is the peak efficiency work of prototype water turbine
Make a little.
3, etc. go out the line of force to draw:
In the H-P plane coordinates figure of mixed-flow prototype water turbine operating combined characteristic, make P=Pmax、
P=PrAnd P ≈ 0.9Pr、P≈0.8Pr、……、P≈0.3Pr、P≈0.2PrEtc. exert oneself parallel lines and prototype water turbine etc.
Efficiency line intersects, and reads the head H of each intersection point;Utilize formula Q=P/ (gH η) to calculate the flow Q of each intersection point, obtain each intersection point
(P, η, H, Q) value;The point P in the line of force is gone out by each etc.i=f (Hij,Qij) it is drawn in Q-H plane coordinates according to the order taken a little
On figure and be linked to be smooth curve, it is mixed-flow prototype water turbine etc. and goes out the line of force.
4, etc. draught-height line is drawn:
1) according to hydraulic turbine operating head H scope and model cavitation factor sigmamSize and distribution situation, draft several every 1~2m
Suitably draught-height HsValue;
2) formula is utilizedCalculate different HsCorresponding prototype water turbine working head H
With unit speed n11pAnd corresponding model turbine unit speed n11m;
3) model turbine unit speed n is utilized11mMake parallel lines and respectively wait cavitation coefficient, cavitation factor, Toma coefficient in model turbine combined characteristic figure
Line intersects, and reads the efficiency eta of intersection pointmWith specific discharge Q11m;
4) the coordinate H of point on exert oneself P and flow Q and the draught-height line such as each of prototype water turbine is calculatedsi=f (Ppij,Hij) and
Hsi=f (Hij,Qij);
5) point on the draught-height line such as each is drawn in respectively on H-P, Q-H plane coordinates figure according to the order taken a little and is linked to be light
Sliding curve, is the draught-height lines such as prototype water turbine.
5, exert oneself restraining line draw:
Restraining line of exerting oneself is made up of generator output restraining line and output of hydraulic turbine restraining line two parts.Go out at the above unit of rated head
Power is limited by the specified active power of electromotor, for straight line;Limited by hydraulic turbine maximum guide vane opening or cavitation corrosion below rated head
System.Easy method for drafting is rated head to be sent out the point of nominal output and is linked to be in the force that goes out of minimum head, maximum guide vane opening
One straight line, is output of hydraulic turbine restraining line.For being provided with the unit of EIAJ, send out EIAJ minimum head and more than
Unit output is limited by electromotor maximum active power, for straight line;Below the minimum head sending out EIAJ by the hydraulic turbine
Big guide vane opening or cavitation corrosion limit.Easy method for drafting is that a point for minimum head for EIAJ, rated head are sent out specified and gone out
The point of power and be linked to be straight line in the force that goes out of minimum head, maximum guide vane opening, is output of hydraulic turbine restraining line.Work as the hydraulic turbine
Exert oneself when being limited by cavitation corrosion condition, draught-height restraining line should be drawn simultaneously.
6, etc. guide vane opening line is drawn: by the coordinate a of point on the calculated guide vane opening line such as respectively0i=f (Ppij,Hij) and
a0i=f (Hij,Qpij) be drawn in respectively on H-P, Q-H plane coordinates figure according to the order taken a little and be linked to be smooth curve, i.e. obtain former
The guide vane opening lines such as the type hydraulic turbine is corresponding.
7, equal pressure pulsation line is drawn: be drawn in respectively according to the order taken a little by the coordinate of point on calculated each equal pressure pulsation line
On H-P, Q-H plane coordinates figure and be linked to be smooth curve, i.e. obtain mixed-flow prototype water turbine equal pressure pulsation line.
8, the blade water inlet positive back side, limit cavitation inception line or separation of flow line, vortex tape is nascent and development line is drawn: by calculated respectively
The blade water inlet positive back side, limit cavitation inception line or separation of flow line, vortex tape be nascent and on development line, the coordinate of point is drawn respectively according to the order taken a little
On H-P, Q-H plane coordinates figure and be linked to be smooth curve, just i.e. obtaining mixed-flow prototype water turbine corresponding blade water inlet limit
Back side cavitation inception line or separation of flow line, vortex tape be nascent and development line.
For Francis turbine, be the most also painted with stable operation district, overload district, do not recommend Operational Zone, allow Operational Zone,
Forbid Operational Zone, vortex rope district etc., these Operational Zones can according to prototype water turbine etc. draught-height line, restraining line of exerting oneself, equal pressure
Pulsation line, the blade water inlet positive back side, limit cavitation inception line or separation of flow line, vortex tape be nascent and development line etc. comprehensively determines, to instruct
With operation and the scheduling optimizing the hydraulic turbine.
Claims (4)
1. the method generating mixed-flow prototype water turbine operating combined characteristic, it is characterised in that comprise the steps:
Coordinate calculates: in the range of hydraulic turbine operating head, chooses some evenly spaced heads, calculates each head pair respectively
Prototype water turbine unit speed n answered11pAnd corresponding model turbine unit speed n11m;According to each model turbine list described
Position rotating speed n11mMake each isoefficiency curve in parallel lines and model turbine combined characteristic figure, etc. guide vane opening line, equal pressure arteries and veins
Moving-wire, the blade water inlet positive back side, limit cavitation inception line or separation of flow line, vortex tape is nascent and development line intersects, and reads each contour and hands over
Model turbine unit speed n that point is corresponding11m, specific discharge Q11m, efficiency etam, aperture a0m;Utilize the principle of similitude and correction
Formula, calculates the efficiency eta of prototype water turbine corresponding under each headp, flow Qp, exert oneself Pp, aperture a0p, obtain prototype water
The coordinate η of point on each isoefficiency curve of turbinepi=f (Ppij,Hij) and ηpi=f (Hij,Qpij), the seat of point on the guide vane opening line such as each
Mark a0i=f (Ppij,Hij) and a0i=f (Hij,Qpij) and equal pressure pulsation line, the blade water inlet positive back side, limit cavitation inception line or de-
Streamline, vortex tape are come into being and the coordinate of point on development line;
Mixed-flow prototype water turbine isoefficiency curve is drawn: in the range of hydraulic turbine operating head, make model turbine unit speed n11m
Parallel lines are tangent with each isoefficiency curve turning point of model combined characteristic figure, calculate each point of contact coordinate ηpi=f (Ppi,Hi) and
ηpi=f (Hi,Qpi), described point of contact coordinate is prototype water turbine each isoefficiency curve turning point;By calculated described prototype water wheels
Point and described turning point on each isoefficiency curve of machine are drawn in respectively on H-P, Q-H plane coordinates figure according to the order taken a little and connect
Become smooth curve, described in the smooth curve that is linked to be the isoefficiency curve of prototype water turbine;Calculate model turbine best efficiency point
Corresponding prototype water turbine peak efficiency point coordinates ηpmax=f (Popt,Hd) and ηpmax=f (Hd,Qopt), and be drawn in respectively H-P,
On Q-H plane coordinates figure, it is the peak efficiency operating point of prototype water turbine;
Mixed-flow prototype water turbine etc. goes out the line of force and draws: the H-P plane at mixed-flow prototype water turbine operating combined characteristic is sat
In marking on a map, make P=Pmax, P=PrAnd P ≈ 0.9Pr、P≈0.8Pr、……、P≈0.3Pr、P≈0.2PrFlat etc. exerting oneself
Line intersects with the isoefficiency curve of prototype water turbine, reads the head H of each intersection point;Formula Q=P/ (gH η) is utilized to calculate each intersection point
Flow Q, obtain (P, η, H, Q) value of each intersection point;The point P in the line of force is gone out by each etc.i=f (Hij,Qij) suitable according to take a little
Sequence is drawn on Q-H plane coordinates figure and is linked to be smooth curve, is prototype water turbine etc. and goes out the line of force, wherein PmaxRepresent that maximum goes out
Power, PrRepresent nominal output;
The draught-heights such as mixed-flow prototype water turbine are drawn: according to hydraulic turbine operating head H scope and model cavitation factor sigmamSize
And distribution situation, draft several suitable draught-height H every 1~2msValue;Utilize formulaCalculate different HsCorresponding prototype water turbine working head H and unit speed n11p
And corresponding model turbine unit speed n11m;Utilize model turbine unit speed n11mMake parallel lines comprehensive with model turbine
Performance diagram respectively waits cavitation coefficient, cavitation factor, Toma coefficient line intersect, read the efficiency eta of intersection pointmWith specific discharge Q11m;Calculate prototype water turbine
Exert oneself P and flow Q and the draught-height line such as each on the coordinate H of pointsi=f (Ppij,Hij) and Hsi=f (Hij,Qij);Each grade is inhaled
The point gone out on altitude line is drawn in respectively on H-P, Q-H plane coordinates figure according to the order taken a little and is linked to be smooth curve, is former
The draught-height lines such as the type hydraulic turbine;
Mixed-flow prototype water turbine restraining line of exerting oneself is drawn: rated head is sent out the point of nominal output and at minimum head, maximum stator
The force that goes out of aperture is linked to be a straight line, is output of hydraulic turbine restraining line;
The guide vane opening line such as mixed-flow prototype water turbine is drawn: by the coordinate of point on the guide vane opening line such as each of mixed-flow prototype water turbine
a0i=f (Ppij,Hij) and a0i=f (Hij,Qpij) be drawn in respectively on H-P, Q-H plane coordinates figure according to the order taken a little and be linked to be
Smooth curve, i.e. obtains the guide vane opening lines such as prototype water turbine is corresponding;
Mixed-flow prototype water turbine equal pressure pulsation line is drawn: the coordinate of point on line of being pulsed by each equal pressure of mixed-flow prototype water turbine
It is drawn in respectively on H-P, Q-H plane coordinates figure according to the order taken a little and is linked to be smooth curve, i.e. obtaining mixed-flow prototype water turbine
Corresponding equal pressure pulsation line;
The mixed-flow prototype water turbine blade water inlet positive back side, limit cavitation inception line or separation of flow line, vortex tape is nascent and development line is drawn: will
The blade water inlet positive back side, the limit cavitation inception line of mixed-flow prototype water turbine or separation of flow line, vortex tape be nascent and the coordinate of development line etc. depends on
Take order a little be drawn in respectively on H-P, Q-H plane coordinates figure and be linked to be smooth curve, i.e. obtain mixed-flow prototype water turbine phase
The blade water inlet positive back side, the limit cavitation inception line answered or separation of flow line, vortex tape be nascent and development line.
2. the method generating mixed-flow prototype water turbine operating combined characteristic as claimed in claim 1, it is characterised in that
Exerting oneself in the drafting of restraining line, for being provided with the unit of EIAJ, the method for drafting of its restraining line of exerting oneself is as follows: will send out an EIAJ
The point of minimum head, rated head send out the point of nominal output and be linked to be straight line in the force that goes out of minimum head, maximum guide vane opening,
It is output of hydraulic turbine restraining line.
3. the method generating mixed-flow prototype water turbine operating combined characteristic as claimed in claim 1, it is characterised in that
For Francis turbine, also including that operation area is drawn, described operation area includes stable operation district, overload district, does not pushes away
Recommending Operational Zone, permission Operational Zone, forbid Operational Zone and vortex rope district, each operation area described is according to the sucking-off such as grade of prototype water turbine
Altitude line, restraining line of exerting oneself, equal pressure pulsation line, the blade water inlet positive back side, limit cavitation inception line or separation of flow line, vortex tape are come into being
And development line etc. comprehensively determines.
A kind of method generating mixed-flow prototype water turbine operating combined characteristic the most as claimed in claim 1, its feature exists
In, when choosing some evenly spaced heads, the head number chosen is 8 to 12, comprises minimum in selected head
Head, rated head and maximum head.
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CN107122566A (en) * | 2017-05-12 | 2017-09-01 | 武汉大学 | Combined characteristic acquisition methods based on wave power generation hydraulic PTO system |
CN107153753A (en) * | 2017-06-26 | 2017-09-12 | 中国电建集团成都勘测设计研究院有限公司 | A kind of method of Francis turbine basic parameter estimation |
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CN110610034A (en) * | 2019-08-28 | 2019-12-24 | 中国电建集团华东勘测设计研究院有限公司 | Generation method of hydraulic characteristics of mixed-flow water turbine |
CN111275792A (en) * | 2020-02-26 | 2020-06-12 | 江苏大学 | New method for drawing axial surface streamline of mixed-flow water turbine |
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CN107122566A (en) * | 2017-05-12 | 2017-09-01 | 武汉大学 | Combined characteristic acquisition methods based on wave power generation hydraulic PTO system |
CN107122566B (en) * | 2017-05-12 | 2020-06-19 | 武汉大学 | Comprehensive characteristic curve acquisition method based on wave power generation hydraulic PTO system |
CN107153753A (en) * | 2017-06-26 | 2017-09-12 | 中国电建集团成都勘测设计研究院有限公司 | A kind of method of Francis turbine basic parameter estimation |
CN107153753B (en) * | 2017-06-26 | 2020-10-09 | 中国电建集团成都勘测设计研究院有限公司 | Method for estimating basic parameters of mixed-flow water turbine |
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CN110610034A (en) * | 2019-08-28 | 2019-12-24 | 中国电建集团华东勘测设计研究院有限公司 | Generation method of hydraulic characteristics of mixed-flow water turbine |
CN110610034B (en) * | 2019-08-28 | 2023-09-22 | 中国电建集团华东勘测设计研究院有限公司 | Method for generating hydraulic characteristics of mixed-flow water turbine |
CN111275792A (en) * | 2020-02-26 | 2020-06-12 | 江苏大学 | New method for drawing axial surface streamline of mixed-flow water turbine |
CN111275792B (en) * | 2020-02-26 | 2023-12-15 | 江苏大学 | Method for drawing axial surface streamline of mixed-flow turbine |
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