CN105952651A - Method for preventing high-flow guide blade type mixed-flow pump device from generating vibration under working condition of low lift and application thereof - Google Patents
Method for preventing high-flow guide blade type mixed-flow pump device from generating vibration under working condition of low lift and application thereof Download PDFInfo
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- CN105952651A CN105952651A CN201610344143.3A CN201610344143A CN105952651A CN 105952651 A CN105952651 A CN 105952651A CN 201610344143 A CN201610344143 A CN 201610344143A CN 105952651 A CN105952651 A CN 105952651A
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04D—NON-POSITIVE-DISPLACEMENT PUMPS
- F04D11/00—Other rotary non-positive-displacement pumps
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04D—NON-POSITIVE-DISPLACEMENT PUMPS
- F04D13/00—Pumping installations or systems
- F04D13/02—Units comprising pumps and their driving means
- F04D13/06—Units comprising pumps and their driving means the pump being electrically driven
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04D—NON-POSITIVE-DISPLACEMENT PUMPS
- F04D29/00—Details, component parts, or accessories
- F04D29/18—Rotors
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04D—NON-POSITIVE-DISPLACEMENT PUMPS
- F04D29/00—Details, component parts, or accessories
- F04D29/40—Casings; Connections of working fluid
- F04D29/406—Casings; Connections of working fluid especially adapted for liquid pumps
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04D—NON-POSITIVE-DISPLACEMENT PUMPS
- F04D29/00—Details, component parts, or accessories
- F04D29/66—Combating cavitation, whirls, noise, vibration or the like; Balancing
- F04D29/669—Combating cavitation, whirls, noise, vibration or the like; Balancing especially adapted for liquid pumps
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F05—INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
- F05D—INDEXING SCHEME FOR ASPECTS RELATING TO NON-POSITIVE-DISPLACEMENT MACHINES OR ENGINES, GAS-TURBINES OR JET-PROPULSION PLANTS
- F05D2200/00—Mathematical features
- F05D2200/20—Special functions
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- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- General Engineering & Computer Science (AREA)
- Structures Of Non-Positive Displacement Pumps (AREA)
Abstract
The invention discloses a method for preventing a high-flow guide blade type mixed-flow pump device from generating vibration under a working condition of low lift and application thereof, and belongs to the technical field of pump stations of hydraulic engineering. The method is characterized in that a lower nD value is adopted as far as possible for guarantee of the guide blade type mixed-flow pump device to have excellent cavitation resistance under the working condition of lower lift in type selection of a water pump; under the working condition of the highest lift of the pump device, a variable frequency power supply is adopted to properly increase the rotating speed of the water pump, so that a working condition point of the pump device enters a stable working area of the water pump; and a guide blade type mixed-flow pump device scheme most suitable for a pump station is preferentially selected with the highest comprehensive score of three main factors of the cavitation resisting safety coefficient of the pump device, the water pump shaft power and the impeller diameter as basis. The method is mainly used for designing high-flow pump stations with a larger difference between the lowest lift and the designed lift. The method has important significance on safe and stable operation of high-flow drainage pump stations with larger difference between the lowest lift and the designed lift.
Description
Technical field
The invention belongs to hydraulic engineering pumping plant technical field, be specifically related to one and avoid big flow guide vane mixed flow pump device
Producing method and the application thereof of vibration under low lift operating mode, it is relatively low, the most high-lift higher to be mainly used in rated lift, Liang Zhexiang
The high-capacity pump station that difference is bigger.
Background technology
The rated lift of some big flow drainage pumping stations of east China riparian area is relatively low, the most high-lift higher, Liang Zhexiang
Difference is bigger.Such pumping plant, if selecting axial-flow pump device, then can obtain good waterpower when its rated lift operating mode
Performance, but it will enter the unstable operation district of water pump when the most high-lift operating mode；If selecting guide vane mixed flow pump device, then may be used
Ensure water pump steady operation when the most high-lift operating mode, but then may be poor because of water pump cavitation performance when its rated lift operating mode
And produce judder.Existing method is to select guide vane mixed flow pump device, though adopting pumping plant in this way can ensure it
Stability when the most high-lift operating mode is run, but it cannot be guaranteed that it obtains good hydraulic performance when design conditions are run,
Even some pumping plant can occur obvious cavitation vibration when relatively low lift operating mode is run, and badly influences stablizing of water pump assembly
Run.
Summary of the invention
The purpose of the present invention is aiming at the defect of said method, it is provided that one avoids big flow guide vane mixed flow pump device
Producing method and the application thereof of vibration under low lift operating mode, the present invention is with pump installation anti-cavitation safety coefficient, pump shaft power
It is foundation with the comprehensive highest scoring of three principal elements such as impeller diameter, is preferably best suited for leading of described pumping plant by calculating
Leaf formula mixed-flow pump and blade angle, impeller diameter and rotating speed, to guarantee that pump installation can be in the higher the most high-lift work of lift
Condition steady operation, can have excellent hydraulic performance in the rated lift operating mode that lift is relatively low again.The invention is characterized in that for
Rated lift higher pumping plant relatively low, the most high-lift, for guaranteeing that guide vane mixed flow pump device has well in rated lift operating mode
Anti-cavitation performance, when carrying out pump selection, use relatively low nD value as far as possible；In the most high-lift operating mode, become by employing
Frequency power improves pump rotary speed, makes the most high-lift operating point of pump installation enter the stable work area of water pump；Calculate pump installation
The flow of high-lift operating point, efficiency, pump shaft power, Critical Cavitation Coefficient surplus and pump installation anti-cavitation safety coefficient；At present
In strict guide vane mixed flow pump Model Series that test, that hydraulic performance is good, choosing is listed and is likely to be suited for described pumping plant
Guide vane mixed flow pump model, calculate one by one guide vane mixed flow pump model and investigate, with pump installation anti-cavitation being safely
The comprehensive highest scoring of three principal elements such as number, pump shaft power and impeller diameter is distinguishing rule, is preferably best suited for institute
State the guide vane mixed flow pump device scheme of pumping plant.The method that the present invention provides is to ensureing that rated lift differs bigger with the most high-lift
The safe and stable operation of riparian area big flow drainage pumping stations be of great significance.
For realizing the purpose of the present invention, adopt the following technical scheme that
(1) for intending the application single pump designs flow of high-capacity pump station pump installation of the present invention, rated lift and soaring most
Journey, current domestic in strict guide vane mixed flow pump Model Series that test, that hydraulic performance is good, choosing is listed and may be fitted
For N number of guide vane mixed flow pump model of described pumping plant, and by they the most numbered i=1,2,3 ..., N；
(2) it is scaled to impeller diameter D according to described N number of guide vane mixed flow pump model0=0.3m, rotating speed n0=1450r/min
Combination property curve, compile descending for the blade angle in each guide vane mixed flow pump model normal operation range successively
Number it is j=1,2,3 ..., M, and list the highest stabilizing work of each blade angle of each guide vane mixed flow pump model
Lift (Hmax)i,j；
(3) according to Research on Statistics and Analysis result, each blade angle of guide vane mixed flow pump model is in its range of operation
Pump head H and flow Q, pump efficiency ηWater pumpWith flow Q, water pump Critical Cavitation Coefficient surplus NPSHc can be respectively with following with flow Q
Relational expression is expressed:
1. the relation of second degree trinomial expression between pump head H and flow Q
H=A+BQ+CQ2 (1)
In formula, H is pump head, m；Q is flow, m3/s；A, B and C are respectively zero degree item, first order and two in (1) formula
The coefficient of secondary item；
Relational expression (1) can be used to calculate the stream of this operating point according to the lift H of a certain running operating point of guide vane mixed flow pump
Amount Q；
2. pump efficiency ηWater pumpAnd the relation of cubic polynomial between flow Q
ηWater pump=EQ+FQ2+GQ3 (2)
In formula, ηWater pumpFor pump efficiency, %；E, F and G are respectively first order, quadratic term and the coefficient of cubic term in (2) formula；
Relational expression (2) can be used to calculate this operating point according to the flow Q of a certain running operating point of guide vane mixed flow pump model
Pump efficiency ηWater pump；
3. the relation of cubic polynomial between water pump Critical Cavitation Coefficient surplus NPSHc and flow Q
NPSHc=R+SQ+TQ2+UQ3 (3)
In formula, NPSHc is water pump Critical Cavitation Coefficient surplus, m；R, S, T and U be respectively zero degree item in (3) formula, first order, two
Secondary item and the coefficient of cubic term；
Relational expression (3) can be used to calculate this operating point according to the flow Q of a certain running operating point of guide vane mixed flow pump model
Water pump Critical Cavitation Coefficient surplus NPSHc；
(4) according to the combination property curve of described N number of guide vane mixed flow pump model, in water pump normal operation range, by
Complete the work of following step individual guide vane mixed flow pump model, one by one blade angle:
1. for the jth blade angle of i-th guide vane mixed flow pump model, according to the design of described pumping plant pump installation
Lift and single pump designs flow, to reduce nD value as far as possible as principle, select suitable water pump vane diameter Di,j(unit is m)
With pump rotary speed ni,j(unit is r/min), makes described pump installation rated lift HPump installation rated liftOperating point be positioned at or as close possible to
In i-th guide vane mixed flow pump model, the peak efficiency district of jth blade angle energy characteristics, make this operating point simultaneously
Critical Cavitation Coefficient surplus is obviously reduced therewith；
2. on the basis of the 1. step work, the water pump vane diameter D selected by holdingi,jConstant, turn by improving water pump
Speed improves i-th guide vane mixed flow pump highest stabilizing work lift (Hmax) when jth blade anglei,j, so that described
The most high-lift H of pump installationPump installation is the most high-liftOperating point can enter water pump stable work area；According to proportional law of pump, it is calculated as follows
Required pump rotary speed:
In formula, kHFor safety coefficient, for guaranteeing that the most high-lift operating point is positioned at stable work area, take safety coefficient kH=
0.95；(nThe most high-lift operating point)i,jFor i-th guide vane mixed flow pump the most high-lift operating point of pump installation when jth blade angle
Pump rotary speed, r/min；
According to the requirement to tuning range of the high power frequency conversion power supply efficient operation, need to expire by the counted pump rotary speed of (4) formula
Foot (nThe most high-lift operating point)i,j≤1.35ni,jCondition, if meeting this condition, carrying out the and 3. walking work, otherwise return the 1. step carry out
The calculating of next blade angle；
3., on the basis of the 2. step work, according to guide vane mixed flow pump law of similitude, it is D by described impeller diameter0, rotating speed
For n0Guide vane mixed flow pump model combination property curve to be scaled impeller diameter be Di,j, rotating speed be (nThe most high-lift operating point)i,jLead
Leaf formula mixed-flow pump prototype combination property curve；According to described guide vane mixed flow pump prototype combination property curve, at pump rotary speed it is
(nThe most high-lift operating point)i,jUnder conditions of, calculate i-th guide vane mixed flow pump described pump installation when jth blade angle and soar most
The pump capacity ((Q of journey operating pointWater pump)The most high-lift operating point)i,j, pump efficiency ((ηWater pump)The most high-lift operating point)i,jWith water pump Critical Cavitation Coefficient surplus
((NPSHc)The most high-lift operating point)i,j；
4. according to the numerous studies knot of relation between the hydraulic performance of water pump in the hydraulic performance of pump installation and pump installation
Really, can the pump capacity ((Q of operating point the most high-lift to described pump installation as the following formulaWater pump)The most high-lift operating point)i,jIt is modified, obtains
The pump installation flow of the most high-lift operating point of described pump installation:
((QPump installation)The most high-lift operating point)i,j=kQ((QWater pump)The most high-lift operating point)i,j (5)
In formula, kQFor flow modificatory coefficient, kQ=0.89；((QPump installation)The most high-lift operating point)i,jFormer for i-th guide vane mixed flow pump
Type is the pump installation flow of the most high-lift operating point of described pump installation, m when jth blade angle3/s；
5., on the basis of the 4. step work, application CFD approach calculates the most high-lift operating point of described pump installation respectively
The water inlet flow channel loss of flood peak ((Δ hWater inlet flow channel)The most high-lift operating point)i,jWith the outlet passage loss of flood peak ((Δ hOutlet passage)The most high-lift operating point)i,j；Root
According to the definition of pump installation runner efficiency, calculate runner efficiency ((η during the most high-lift operating mode of described pump installationRunner)The most high-lift operating point
)i,j；
6. according to pump assembly efficiency η in pump installationPump installationWith pump efficiency ηWater pump, runner efficiency etaRunnerBetween energy relationship,
Calculate the pump assembly efficiency ((η of the most high-lift operating point of described pump installationPump installation)The most high-lift operating point)i,j；
7. according to pump assembly efficiency ηPump installationDefinition, calculate the pump shaft power of the most high-lift operating point of described pump installation
((PPump shaft)The most high-lift operating point)i,j；
8. according to pump installation effective cavitation surplus conventionally calculation formula, the pump installation calculating the most high-lift operating point is the most empty
Change surplus ((NPSHa)The most high-lift operating point)i,j；According to the definition of pump installation anti-cavitation safety coefficient, calculate the most high-lift operating point
Described pump installation anti-cavitation safety coefficient (kAnti-cavitation)i,j:
9. the relevant calculating data of jth blade angle are listed in affiliated i-th guide vane mixed flow pump prototype main
Result of calculation table；
1.～the calculating 9. walked if 10. j ＜ M, then make j=j+1 and return the of (4th) step and 1. walk, again carrying out
Work；If j=M, then enter (5th) step；
1.～the meter 10. walked (5) if i is ＜ N, then make i=i+1 and return the of (4th) step and 1. walk, again carrying out
Calculate work；If i=N, then enter (6th) step；
(6) result of calculation of N number of guide vane mixed flow pump prototype is collected list, form the stator selected for described pump installation
Formula mixed-flow pump device scheme table；The main project that this table is listed includes: guide vane mixed flow pump model model, blade angle, water
Impeller of pump diameter, the pump rotary speed of rated lift operating point, the pump rotary speed of the most high-lift operating point, pump installation flow, water pump
Shaft power and pump installation anti-cavitation safety coefficient；
(7) pump installation anti-cavitation safety coefficient kAnti-cavitationIt is related to the stable operation of pump installation, pump shaft power PPump shaftDetermine
Electric drilling match power, impeller diameter D determines water pump size；kAnti-cavitation、PPump shaftPreferred three the most main for affecting pump installation scheme with D
Want factor, according to they importances on pump installation impact, give the weight of 0.55,0.25 and 0.20 respectively；For ease of to institute
State guide vane mixed flow pump device scheme to carry out comprehensive and quantitative and compare, respectively to participate in the pump installation of all pump installation schemes than choosing
Anti-cavitation safety coefficient kAnti-cavitationMaximum, pump shaft power PPump shaftMinima and the minima of water pump vane diameter D be base
Standard, calculates the individual event score of each factor, and the product summation to each individual event score with respective weight, to calculate pump installation scheme
Comprehensive score；
(8) by the height of the comprehensive score calculating gained, all participation is carried out ranking than the pump installation scheme of choosing, select
The guide vane mixed flow pump device scheme of comprehensive highest scoring uses for described pumping plant.
The present invention avoids the method that big flow guide vane mixed flow pump device produces vibration under low lift operating mode, it is adaptable to set
The high-capacity pump station that meter lift is relatively low, the most high-lift higher and both differences are bigger.
The object of the present invention is achieved like this:
(1) for intending the application single pump designs flow of high-capacity pump station pump installation of the present invention, rated lift and soaring most
Journey, current domestic in strict guide vane mixed flow pump Model Series that test, that hydraulic performance is good, choosing is listed and may be fitted
For N number of guide vane mixed flow pump model of described pumping plant, and by they the most numbered i=1,2,3 ..., N；
(2) it is scaled to impeller diameter D according to described N number of guide vane mixed flow pump model0=0.3m, rotating speed n0=1450r/min
Combination property curve, compile descending for the blade angle in each guide vane mixed flow pump model normal operation range successively
Number it is j=1,2,3 ..., M, and list the highest stabilizing work of each blade angle of each guide vane mixed flow pump model
Lift (Hmax)i,j；
(3) it is scaled to impeller diameter D according to described N number of guide vane mixed flow pump model0=0.3m, rotating speed n0=1450r/min
Combination property curve, the water pump listed in its range of operation one by one is raised guide vane mixed flow pump model, one by one blade angle
Journey HI, jWith flow Q, pump efficiency (ηWater pump)i,jWith flow Q, water pump Critical Cavitation Coefficient surplus (NPSHc)i,jAnd the pass between flow Q
It it is formula；
1. pump head H during i-th guide vane mixed flow pump model jth blade anglei,jAnd the secondary between flow Q
Trinomial relation
Hi,j=Ai,j+Bi,jQ+Ci,jQ2 (6)
In formula, Hi,jFor pump head during i-th guide vane mixed flow pump model jth blade angle, m；Ai,j、Bi,j
And Ci,jRespectively zero degree item, first order and quadratic term during i-th guide vane mixed flow pump model jth blade angle is
Number；
2. pump efficiency (η during i-th guide vane mixed flow pump model jth blade angleWater pump)i,jAnd between flow Q
Cubic polynomial relation
(ηWater pump)i,j=Ei,jQ+Fi,jQ2+Gi,jQ3 (7)
In formula, (ηWater pump)i,jFor pump efficiency during i-th guide vane mixed flow pump model jth blade angle, %；
Ei,j、Fi,jAnd Gi,jIt is respectively first order, quadratic term and three times during i-th guide vane mixed flow pump model jth blade angle
The coefficient of item；
3. water pump Critical Cavitation Coefficient surplus (NPSHc) during i-th guide vane mixed flow pump model jth blade anglei,jWith stream
Cubic polynomial relation between amount Q
(NPSHc)i,j=Ri,j+Si,jQ+Ti,jQ2+Ui,jQ3 (8)
In formula, (NPSHc)i,jFor water pump Critical Cavitation Coefficient during i-th guide vane mixed flow pump model jth blade angle
Surplus, %；Ri,j、Si,j、Ti,jAnd Ui,jBe respectively i-th guide vane mixed flow pump model jth blade angle time zero degree item,
The coefficient of first order, quadratic term and cubic term；
(4) according to the combination property curve of described N number of guide vane mixed flow pump model, in water pump normal operation range, by
Complete the work of following step individual guide vane mixed flow pump model, one by one blade angle:
1. for the jth blade angle of i-th guide vane mixed flow pump model, according to the design of described pumping plant pump installation
Lift and single pump designs flow, to reduce nD value as far as possible as principle, select suitable water pump vane diameter Di,j(unit is m)
With pump rotary speed ni,j(unit is r/min), makes described pump installation rated lift HPump installation rated liftOperating point be positioned at or as close possible to
In described guide vane mixed flow pump, the peak efficiency district of described blade angle, make simultaneously the Critical Cavitation Coefficient surplus of this operating point with
Be obviously reduced；
2. on the basis of the 1. step work, the water pump vane diameter D selected by holdingi,jConstant, turn by improving water pump
Speed improves i-th guide vane mixed flow pump highest stabilizing work lift (Hmax) when jth blade anglei,j, so that described
The most high-lift H of pump installationPump installation is the most high-liftOperating point can enter water pump stable work area；According to proportional law of pump, it is calculated as follows
Required pump rotary speed:
In formula, kHFor safety coefficient, for guaranteeing that the most high-lift operating point of pump installation is positioned at stable work area, take safety coefficient
kH=0.95；(nThe most high-lift operating point)i,jFor i-th guide vane mixed flow pump the most high-lift operating mode of pump installation when jth blade angle
The pump rotary speed of point, r/min；
According to the requirement to tuning range of the high power frequency conversion power supply efficient operation, need to expire by the counted pump rotary speed of (9) formula
Foot (nThe most high-lift operating point)i,j≤1.35ni,jCondition, if meeting this condition, carrying out the and 3. walking work, otherwise return the 1. step carry out
The calculating of next blade angle；
3., on the basis of the 2. step work, according to guide vane mixed flow pump law of similitude, it is D by described impeller diameter0, rotating speed
For n0Guide vane mixed flow pump model combination property curve to be scaled impeller diameter be Di,j, rotating speed be (nThe most high-lift operating point)i,jLead
Leaf formula mixed-flow pump prototype combination property curve；According to described guide vane mixed flow pump prototype combination property curve, at pump rotary speed it is
(nThe most high-lift operating point)i,jUnder conditions of, calculate i-th guide vane mixed flow pump described pump installation when jth blade angle and soar most
The pump capacity ((Q of journey operating pointWater pump)The most high-lift operating point)i,j, pump efficiency ((ηWater pump)The most high-lift operating point)i,jWith water pump Critical Cavitation Coefficient surplus
((NPSHc)The most high-lift operating point)i,j；
According to affinity law of pump, guide vane mixed flow pump, one by one blade angle ground are by described pump head H one by onei,jWith stream
Amount Q, pump efficiency (ηWater pump)i,jWith flow Q, water pump Critical Cavitation Coefficient surplus (NPSHc)i,jAnd the relational expression between flow Q is scaled to
Impeller diameter is Di,j, pump rotary speed be (nThe most high-lift operating point)i,jTime expression formula:
According to relational expression (10), H can be tried to achievei,j=HThe most high-lift operating pointTime corresponding i-th guide vane mixed flow pump in jth
The pump capacity ((Q of described pump installation the most high-lift operating point during blade angleWater pump)The most high-lift operating point)i,j；
By ((QWater pump)The most high-lift operating point)i,jSubstitution formula (11), obtains i-th guide vane mixed flow pump finally at jth blade angle
The pump efficiency ((η of the most high-lift operating point of Shi Suoshu pump installationWater pump)The most high-lift operating point)i,j；
By ((QWater pump)The most high-lift operating point)i,jSubstitution formula (12), obtains i-th guide vane mixed flow pump finally at jth blade angle
Water pump Critical Cavitation Coefficient surplus ((NPSHc) of the most high-lift operating point of Shi Suoshu pump installationThe most high-lift operating point)i,j；
The pump capacity ((Q of operating point the most high-lift to described pump installation the most as the following formulaWater pump)The most high-lift operating point)i,jIt is modified,
Obtain the pump installation flow of the most high-lift operating point of described pump installation:
((QPump installation)The most high-lift operating point)i,j=0.89 ((QWater pump)The most high-lift operating point)i,j (13)
In formula, ((QPump installation)The most high-lift operating point)i,jFor i-th guide vane mixed flow pump described pump dress when jth blade angle
Put the pump installation flow of the most high-lift operating point, m3/s；
5., on the basis of the 4. step work, application CFD approach calculates i-th guide vane mixed flow pump respectively at jth leaf
The water inlet flow channel loss of flood peak ((the Δ h of described pump installation the most high-lift operating point during sheet laying angleWater inlet flow channel)The most high-lift operating point)i,jWith go out
The water flow passage loss of flood peak ((Δ hOutlet passage)The most high-lift operating point)i,j；According to the definition of pump installation runner efficiency, calculate described pump installation
The runner efficiency of high-lift operating point:
In formula, ((ηRunner)The most high-lift operating point)i,jThe highest for i-th guide vane mixed flow pump pump installation when jth blade angle
The runner efficiency of lift operating point, %；((ΔhRunner)The most high-lift operating point)i,jLay at jth blade for i-th guide vane mixed flow pump
The water inlet flow channel of the most high-lift operating point of pump installation and outlet passage loss of flood peak sum, i.e. ((Δ h during angleRunner)The most high-lift operating point)i,j
=((Δ hWater inlet flow channel)The most high-lift operating point)i,j+((ΔhOutlet passage)The most high-lift operating point)i,j；
6. according to pump assembly efficiency η in pump installationPump installationWith pump efficiency ηWater pump, runner efficiency etaRunnerEnergy relationship, press
The pump assembly efficiency of the formula calculating the most high-lift operating point of described pump installation:
((ηPump installation)The most high-lift operating point)i,j=((ηWater pump)The most high-lift operating point)i,j×((ηRunner)The most high-lift operating point)i,j× 100% (15)
In formula, ((ηPump installation)The most high-lift operating point)i,jFor i-th guide vane mixed flow pump when jth blade angle in pump installation
The pump assembly efficiency of the most high-lift operating point, %；
7. according to pump assembly efficiency ηPump installationDefinition, be calculated as follows the pump shaft of the most high-lift operating point of described pump installation
Power:
In formula, ((PPump shaft)The most high-lift operating point)i,jThe highest for i-th guide vane mixed flow pump pump installation when jth blade angle
The pump shaft power of lift operating point, kW；ρ is the density of water, kg/m3；G is acceleration of gravity, m/s2；
8. according to pump installation effective cavitation surplus conventionally calculation formula, it is calculated as follows the most high-lift operating mode of described pump installation
Pump installation effective cavitation surplus of point:
In formula, ((NPSHa)The most high-lift operating point)i,jFor i-th guide vane mixed flow pump, when jth blade angle, pump installation is
Pump installation effective cavitation surplus of high-lift operating point, m；For described pump installation forebay minimum operation water level, m；For described pump installation water pump vane center elevation, m；
According to the definition of pump installation anti-cavitation safety coefficient, calculate the described pump installation anti-cavitation peace of the most high-lift operating point
Overall coefficient:
In formula, (kAnti-cavitation)i,jFor i-th guide vane mixed flow pump the most high-lift operating mode of pump installation when jth blade angle
The pump installation anti-cavitation safety coefficient of point；
9. each of jth blade angle is listed in affiliated i-th guide vane mixed flow pump prototype about calculating data
Main calculation results table；The data that this table is listed include: guide vane mixed flow pump model model, blade angle, water pump vane are straight
Footpath, the pump rotary speed of pump installation rated lift operating point and flow, the pump rotary speed of the most high-lift operating point of pump installation, flow,
Pump efficiency, the water inlet flow channel loss of flood peak, the outlet passage loss of flood peak, runner efficiency, pump assembly efficiency, pump shaft power, pump
Device effective cavitation surplus, water pump Critical Cavitation Coefficient surplus and pump installation anti-cavitation safety coefficient；
1.～the calculating 9. walked if 10. j ＜ M, then make j=j+1 and return the of (4th) step and 1. walk, again carrying out
Work；If j=M, then enter (5th) step；
1.～the meter 10. walked (5) if i is ＜ N, then make i=i+1 and return the of (4th) step and 1. walk, again carrying out
Calculate work；If i=N, then enter (6th) step；
(6) result of calculation of N number of guide vane mixed flow pump prototype is collected list, form the stator selected for described pump installation
Formula mixed-flow pump device scheme table, the important technological parameters index that this table is listed includes: guide vane mixed flow pump model model, blade are pacified
Put angle, water pump vane diameter, the pump rotary speed of pump installation rated lift operating point, the water pump of the most high-lift operating point of pump installation turn
Speed, flow, pump shaft power and pump installation anti-cavitation safety coefficient；
(7) pump installation anti-cavitation safety coefficient kAnti-cavitationIt is related to the stable operation of pump installation, pump shaft power PPump shaftDetermine
Electric drilling match power, impeller diameter D determines water pump size；kAnti-cavitation、PPump shaftPreferred three the most main for affecting pump installation scheme with D
Want factor, according to they importances on pump installation impact, give the weight of 0.55,0.25 and 0.20 respectively；
To participate in pump installation anti-cavitation safety coefficient k of all pump installation schemes than choosingAnti-cavitationMaximum on the basis of, meter
Calculate kAnti-cavitationIndividual event score:
In formula, (XAnti-cavitation)i,jFor i-th guide vane mixed flow pump pump installation anti-cavitation when jth blade angle it is safely
The individual event score of number；[(kAnti-cavitation)i,j]maxFor participating in the pump installation anti-cavitation safety coefficient of all pump installation schemes than choosing
Big value；
To participate in the pump shaft power P of all pump installation schemes than choosingPump shaftMinima on the basis of, calculate PPump shaftIndividual event
Score:
In formula, (XPump shaft)i,jObtain for the individual event of pump shaft power when jth blade angle of i-th guide vane mixed flow pump
Point；[(PPump shaft)i,j]minFor participating in the minima of the pump shaft power of all pump installation schemes than choosing；
On the basis of the minima of the water pump vane diameter D participating in all pump installation schemes than choosing, the individual event calculating D obtains
Point:
In formula, (XImpeller diameter)i,jFor i-th guide vane mixed flow pump list of water pump vane diameter when jth blade angle
Item score；[Di,j]minFor participating in the minima of the water pump vane diameter of all pump installation schemes than choosing；
Product summation to described three big factor each individual event scores with respective weight:
Xi,j=(XAnti-cavitation)i,j×0.55+(XPump shaft)i,j×0.25+(XImpeller diameter)i,j×0.20 (22)
In formula, Xi,jFor i-th guide vane mixed flow pump the most high-lift operating point of pump installation when jth blade angle
The comprehensive score of described three big factors；
(8) by the height of the comprehensive score calculating gained, all participation is carried out than the guide vane mixed flow pump device scheme of choosing
Ranking, the pump installation scheme selecting comprehensive highest scoring uses for described pumping plant.
Compared with the conventional method, the method have the advantages that
First, efficiently solve rated lift and differ bigger big flow guide vane mixed flow pump device raising with the most high-lift
The problem of the design conditions generation vibration that journey is relatively low.
Second, by using relatively low nD value to carry out pump selection, substantially improve the waterpower of pump installation design conditions
Energy.
3rd, it is no longer necessary to adjustment of blade angle mechanism, thus simplify set structure, it is possible to decrease fault rate, raising machine
Organize properly functioning reliability.
4th, available frequency control carries out soft start and the soft stop of unit, to improve water pump assembly startup and to shut down
Time transient response.
Detailed description of the invention
Below in conjunction with embodiment, the present invention is described in further detail.
The pump installation at certain high-capacity pump station, its rated lift and the most high-lift respectively 3.38m and 7.95m, single pump designs
Flow is 33m3/ s, forebay minimum operation water levelFor 3m, water pump vane center elevationFor 0.1m.Because being somebody's turn to do
Pumping plant is the most high-lift and minimum lift differs relatively big, therefore the present embodiment selects guide vane mixed flow pump device, to ensure that water pump is
Can steady operation during high-lift operating mode；Meanwhile, in order to avoid water pump when the rated lift operating mode that lift is relatively low because of water pump cavitation
Poor performance and produce judder, intend application the present invention method the guide vane mixed flow pump device at this station is carried out calculate and excellent
Choosing.
Described guide vane mixed flow pump device scheme carries out the application present invention calculating and preferred step is as follows:
1. for the single pump designs flow at the present embodiment high-capacity pump station, rated lift and the most high-lift, the most domestic
In strict guide vane mixed flow pump Model Series that test, that hydraulic performance is good, have selected TJ04-HLD-02, TJ11-
The guide vane mixed flow pump model that 3 models such as HL-01 and TJ11-HL-02 may be suitable for, by they the most numbered i=1,2,
3；
2. it is scaled to impeller diameter D according to above-mentioned 3 guide vane mixed flow pump models0=0.3m, rotating speed n0=1450r/min
Combination property curve, by the guide vane mixed flow pump model normal operation range intra vane that model is TJ04-HLD-02 (i=1)
Laying angle be 0 ° ,-2 ° ,-4 ° ,-6 ° and-8 ° of number consecutivelies be j=1,2,3,4,5, be TJ11-HL-01 (i=by model
2) guide vane mixed flow pump model normal operation range intra vane laying angle is 0 ° ,-2 ° ,-4 ° ,-6 ° and-8 ° of number consecutivelies
For j=1,2,3,4,5, by the guide vane mixed flow pump model normal operation range intra vane peace that model is TJ11-HL-02 (i=3)
Put angle be 0 ° ,-2 ° ,-4 ° ,-6 ° and-8 ° of number consecutivelies be j=1,2,3,4,5；By described 3 guide vane mixed flow pump models
Highest stabilizing work lift (Hmax) of each blade anglei,jIt is listed in table 1；
The highest stabilizing work lift (D of 3 each blade angles of guide vane mixed flow pump model of table 1 the present embodiment0=
0.3m、n0=1450r/min)
3. according to the combination property curve of described 3 guide vane mixed flow pump models, guide vane mixed flow pump model, one by one one by one
List pump head H in its range of operation blade anglei,jWith flow Q, pump efficiency (ηWater pump)i,jWith flow Q, water pump
Critical Cavitation Coefficient surplus (NPSHc)i,jAnd the relational expression between flow Q；
(1) TJ04-HLD-02 (i=1) guide vane mixed flow pump model
1. pump head H of 5 blade angles1,jAnd the relation of second degree trinomial expression is respectively between flow Q
When blade angle is 0 ° (j=1): H1,1=A1,1+B1,1Q+C1,1Q2=13.38+28.81Q-67.34Q2
When blade angle is-2 ° (j=2): H1,2=A1,2+B1,2Q+C1,2Q2=12.69+30.84Q-77.42Q2
When blade angle is-4 ° (j=3): H1,3=A1,3+B1,3Q+C1,3Q2=6.55+59.97Q-121.25Q2
When blade angle is-6 ° (j=4): H1,4=A1,4+B1,4Q+C1,4Q2=3.92+75.12Q-158.02Q2
When blade angle is-8 ° (j=5): H1,5=A1,5+B1,5Q+C1,5Q2=5.11+70.66Q-171.4Q2
2. pump efficiency (the η of 5 blade anglesWater pump)1,jAnd the relation of cubic polynomial is respectively between flow Q
When blade angle is 0 ° (j=1): (ηWater pump)1,1=E1,1Q+F1,1Q2+G1,1Q3=197.59Q+203.12Q2-
567.09Q3
When blade angle is-2 ° (j=2): (ηWater pump)1,2=E1,2Q+F1,2Q2+G1,2Q3=229.36Q+155.15Q2-
609.11Q3
When blade angle is-4 ° (j=3): (ηWater pump)1,3=E1,3Q+F1,3Q2+G1,3Q3=238.61Q+256.95Q2-
873.19Q3
When blade angle is-6 ° (j=4): (ηWater pump)1,4=E1,4Q+F1,4Q2+G1,4Q3=235.79Q+544.86Q2-
1572.4Q3
When blade angle is-8 ° (j=5): (ηWater pump)1,5=E1,5Q+F1,5Q2+G1,5Q3=253.76Q+624.31Q2-
1973.1Q3
3. water pump Critical Cavitation Coefficient surplus (NPSHc) of 5 blade angles1,jAnd the relation of cubic polynomial between flow Q
It is respectively
When blade angle is 0 ° (j=1):
(NPSHc)1,1=R1,1+S1,1Q+T1,1Q2+U1,1Q3=20.25-49.05Q+100.87Q2-63.75Q3
When blade angle is-2 ° (j=2):
(NPSHc)1,2=R1,2+S1,2Q+T1,2Q2+U1,2Q3=30.04-126.79Q+279.73Q2-190.28Q3
When blade angle is-4 ° (j=3):
(NPSHc)1,3=R1,3+S1,3Q+T1,3Q2+U1,3Q3=19.56-28.16Q-35.09Q2+127.8Q3
When blade angle is-6 ° (j=4):
(NPSHc)1,4=R1,4+S1,4Q+T1,4Q2+U1,4Q3=25.64-96.57Q+153.6Q2-31.18Q3
When blade angle is-8 ° (j=5):
(NPSHc)1,5=R1,5+S1,5Q+T1,5Q2+U1,5Q3=33.53-139.77Q+174.96Q2+38.47Q3
(2) TJ11-HL-01 (i=2) guide vane mixed flow pump model
1. pump head H of 5 blade angles2,jAnd the relation of second degree trinomial expression is respectively between flow Q
When blade angle is 0 ° (j=1): H2,1=A2,1+B2,1Q+C2,1Q2=11.073+12.041Q-52.553Q2
When blade angle is-2 ° (j=2): H2,2=A2,2+B2,2Q+C2,2Q2=10.548+14.413Q-63.543Q2
When blade angle is-4 ° (j=3): H2,3=A2,3+B2,3Q+C2,3Q2=10.561+12.823Q-69.816Q2
When blade angle is-6 ° (j=4): H2,4=A2,4+B2,4Q+C2,4Q2=10.314+11.828Q-79.352Q2
When blade angle is-8 ° (j=5): H2,5=A2,5+B2,5Q+C2,5Q2=10.047+10.421Q-91.108Q2
2. pump efficiency (the η of 5 blade anglesWater pump)2,jAnd the relation of cubic polynomial is respectively between flow Q
When blade angle is 0 ° (j=1): (ηWater pump)2,1=E2,1Q+F2,1Q2+G2,1Q3=277.87Q+149.2Q2-
830.57Q3
When blade angle is-2 ° (j=2): (ηWater pump)2,2=E2,2Q+F2,2Q2+G2,2Q3=309.27Q+138.01Q2-
1006.1Q3
When blade angle is-4 ° (j=3): (ηWater pump)2,3=E2,3Q+F2,3Q2+G2,3Q3=348.16Q+86.905Q2-
1170.9Q3
When blade angle is-6 ° (j=4): (ηWater pump)2,4=E2,4Q+F2,4Q2+G2,4Q3=385.86Q+94.12Q2-
1559.1Q3
When blade angle is-8 ° (j=5): (ηWater pump)2,5=E2,5Q+F2,5Q2+G2,5Q3=418.93Q+176.47Q2-
2248.9Q3
3. water pump Critical Cavitation Coefficient surplus (NPSHc) of 5 blade angles2,jAnd the relation of cubic polynomial between flow Q
It is respectively
When blade angle is 0 ° (j=1):
(NPSHc)2,1=R2,1+S2,1Q+T2,1Q2+U2,1Q3=21.998-85.546Q+197.16Q2-113.38Q3
When blade angle is-2 ° (j=2):
(NPSHc)2,2=R2,2+S2,2Q+T2,2Q2+U2,2Q3=16.401-37.926Q+31.925Q2+75.215Q3
When blade angle is-4 ° (j=3):
(NPSHc)2,3=R2,3+S2,3Q+T2,3Q2+U2,3Q3=13.983-13.264Q-86.549Q2+252.6Q3
When blade angle is-6 ° (j=4):
(NPSHc)2,4=R2,4+S2,4Q+T2,4Q2+U2,4Q3=12.539-0.5754Q-170.01Q2+418.15Q3
When blade angle is-8 ° (j=5):
(NPSHc)2,5=R2,5+S2,5Q+T2,5Q2+U2,5Q3=11.952+2.0137Q-218.46Q2+566.8Q3
(3) TJ11-HL-02 (i=3) guide vane mixed flow pump model
1. pump head H of 5 blade angles3,jAnd the relation of second degree trinomial expression is respectively between flow Q
When blade angle is 0 ° (j=1): H3,1=A3,1+B3,1Q+C3,1Q2=10.91+29.9Q-98.0Q2
When blade angle is-2 ° (j=2): H3,2=A3,2+B3,2Q+C3,2Q2=11.36+26.75Q-102.82Q2
When blade angle is-4 ° (j=3): H3,3=A3,3+B3,3Q+C3,3Q2=11.49+24.9Q-112.88Q2
When blade angle is-6 ° (j=4): H3,4=A3,4+B3,4Q+C3,4Q2=10.52+31.32Q-148.37Q2
When blade angle is-8 ° (j=5): H3,5=A3,5+B3,5Q+C3,5Q2=11.06+25.15Q-161.7Q2
2. pump efficiency (the η of 5 blade anglesWater pump)3,jAnd the relation of cubic polynomial is respectively between flow Q
When blade angle is 0 ° (j=1): (ηWater pump)3,1=E3,1Q+F3,1Q2+G3,1Q3=228.91Q+626.93Q2-
1722.7Q3
When blade angle is-2 ° (j=2): (ηWater pump)3,2=E3,2Q+F3,2Q2+G3,2Q3=224.11Q+816.69Q2-
2215Q3
When blade angle is-4 ° (j=3): (ηWater pump)3,3=E3,3Q+F3,3Q2+G3,3Q3=243.84Q+944.83Q2-
2782.4Q3
When blade angle is-6 ° (j=4): (ηWater pump)3,4=E3,4Q+F3,4Q2+G3,4Q3=255.7Q+1310.1Q2-
4143.7Q3
When blade angle is-8 ° (j=5): (ηWater pump)3,5=E3,5Q+F3,5Q2+G3,5Q3=290.72Q+1526.7Q2-
5494.2Q3
3. water pump Critical Cavitation Coefficient surplus (NPSHc) of 5 blade angles3,jAnd the relation of cubic polynomial between flow Q
It is respectively
Blade angle is 0 ° (j=1):
(NPSHc)3,1=R3,1+S3,1Q+T3,1Q2+U3,1Q3=16.61-23.12Q-4.28Q2+64.06Q3
Blade angle is-2 ° (j=2):
(NPSHc)3,2=R3,2+S3,2Q+T3,2Q2+U3,2Q3=7.47+58.7Q-255.3Q2+319.56Q3
Blade angle is-4 ° (j=3):
(NPSHc)3,3=R3,3+S3,3Q+T3,3Q2+U3,3Q3=10.29+32.52Q-191.72Q2+279.4Q3
Blade angle is-6 ° (j=4):
(NPSHc)3,4=R3,4+S3,4Q+T3,4Q2+U3,4Q3=20.53-23.3Q-205.51Q2+514.96Q3
Blade angle is-8 ° (j=5):
(NPSHc)3,5=R3,5+S3,5Q+T3,5Q2+U3,5Q3=13.74+1.86Q-187.96Q2+416.38Q3
4. according to the combination property curve of described 3 guide vane mixed flow pump models, in water pump normal operation range, one by one
Complete the work of following step guide vane mixed flow pump model, one by one blade angle:
(1) for the jth blade angle of i-th guide vane mixed flow pump model, according to setting of described pumping plant pump installation
Meter lift and single pump designs flow, to reduce nD value as far as possible as principle, selects suitable water pump vane diameter Di,j(unit is
M) with pump rotary speed ni,j(unit is r/min), makes described pump installation rated lift HPump installation rated liftOperating point is positioned at or connects as far as possible
It is bordering on the peak efficiency district of described guide vane mixed flow pump, described blade angle, makes the Critical Cavitation Coefficient surplus of this operating point simultaneously
It is obviously reduced therewith；The water pump vane diameter D of the present embodimenti,jWith pump rotary speed ni,jSelection result be listed in table 2；
(2) for the jth blade angle of i-th guide vane mixed flow pump model, on the basis of (1st) step work,
Water pump vane diameter D selected by holdingi,jConstant, the highest stabilizing work of described guide vane mixed flow pump is improved by improving rotating speed
Make lift (Hmax)i,j, so that the most high-lift H of described pump installationPump installation is the most high-liftOperating point can enter water pump steady operation
District；According to proportional law of pump, the pump rotary speed (n needed for calculating by (9) formulaThe most high-lift operating point)i,j；
1. TJ04-HLD-02 (i=1) guide vane mixed flow pump
When blade angle is 0 ° (j=1):
When blade angle is-2 ° (j=2):
When blade angle is-4 ° (j=3):
When blade angle is-6 ° (j=4):
When blade angle is-8 ° (j=5):
2. TJ11-HL-01 (i=2) guide vane mixed flow pump
When blade angle is 0 ° (j=1):
When blade angle is-2 ° (j=2):
When blade angle is-4 ° (j=3):
When blade angle is-6 ° (j=4):
When blade angle is-8 ° (j=5):
3. TJ11-HL-02 (i=3) guide vane mixed flow pump
When blade angle is 0 ° (j=1):
When blade angle is-2 ° (j=2):
When blade angle is-4 ° (j=3):
When blade angle is-6 ° (j=4):
When blade angle is-8 ° (j=5):
(3) on the basis of (2nd) step work, according to guide vane mixed flow pump law of similitude, it is D by described impeller diameter0, turn
Speed is n0Guide vane mixed flow pump model combination property curve to be scaled impeller diameter be Di,j, rotating speed be (nThe most high-lift operating point)i,j's
Guide vane mixed flow pump prototype combination property curve；
By (10), (11) and (12) formula, 5 blade angles of TJ04-HLD-02 (i=1) guide vane mixed flow pump model are existed
Pump head H in range of operation1,jWith flow Q, pump efficiency (ηWater pump)1,jWith flow Q, water pump Critical Cavitation Coefficient surplus
(NPSHc)1,jAnd it is D that the relational expression between flow Q is scaled to impeller diameter1,j, pump rotary speed be (nThe most high-lift operating point)1,jTime pass
It it is formula；
1. pump head H1,jAnd the relational expression between flow Q
When blade angle is 0 ° (j=1):
When blade angle is-2 ° (j=2):
When blade angle is-4 ° (j=3):
When blade angle is-6 ° (j=4):
When blade angle is-8 ° (j=5):
2. pump efficiency (ηWater pump)1,jAnd the relational expression between flow Q
When blade angle is 0 ° (j=1):
When blade angle is-2 ° (j=2):
When blade angle is-4 ° (j=3):
When blade angle is-6 ° (j=4):
When blade angle is-8 ° (j=5):
3. water pump Critical Cavitation Coefficient surplus (NPSHc)1,jAnd the relational expression between flow Q
When blade angle is 0 ° (j=1):
When blade angle is-2 ° (j=2):
When blade angle is-4 ° (j=3):
When blade angle is-6 ° (j=4):
When blade angle is-8 ° (j=5):
It is D according to TJ04-HLD-02 (i=1) guide vane mixed flow pump impeller diameter1,j, rotating speed be (nThe most high-lift operating point)1,jTime
H1,jAnd the relational expression between Q, tries to achieve H1,j=HThe most high-lift operating pointThe most high-lift operating point of described pump installation corresponding during=7.95m
Pump capacity ((QWater pump)The most high-lift operating point)1,j(being shown in Table 3)；By ((QWater pump)The most high-lift operating point)1,jSubstitute into TJ04-HLD-02 (i=1) stator
The a diameter of D of formula mixed-flow pump impeller1,j, rotating speed be (nThe most high-lift operating point)1,jTime (ηWater pump)1,jAnd the relational expression between Q, calculates to obtain described pump dress
Put the pump efficiency ((η of the most high-lift operating pointWater pump)The most high-lift operating point)1,j(being shown in Table 3)；By ((QWater pump)The most high-lift operating point)1,jSubstitute into TJ04-
HLD-02 (i=1) guide vane mixed flow pump impeller diameter is D1,j, rotating speed be (nThe most high-lift operating point)1,jTime (NPSHc)1,jAnd between Q
Relational expression, calculates to obtain water pump Critical Cavitation Coefficient surplus ((NPSHc) of the most high-lift operating point of described pump installationThe most high-lift operating point)1,j(it is shown in Table
3)；
By (10), (11) and (12) formula, 5 blade angles of TJ11-HL-01 (i=2) guide vane mixed flow pump model are existed
Pump head H in its range of operation2,jWith flow Q, pump efficiency (ηWater pump)2,jWith flow Q, water pump Critical Cavitation Coefficient surplus
(NPSHc)2,jAnd it is D that the relational expression between flow Q is scaled to impeller diameter2,j, pump rotary speed be (nThe most high-lift operating point)2,jTime pass
It it is formula；
1. pump head H2,jAnd the relational expression between flow Q
When blade angle is 0 ° (j=1):
When blade angle is-2 ° (j=2):
When blade angle is-4 ° (j=3):
When blade angle is-6 ° (j=4):
When blade angle is-8 ° (j=5):
2. pump efficiency (ηWater pump)2,jAnd the relational expression between flow Q
When blade angle is 0 ° (j=1):
When blade angle is-2 ° (j=2):
When blade angle is-4 ° (j=3):
When blade angle is-6 ° (j=4):
When blade angle is-8 ° (j=5):
3. water pump Critical Cavitation Coefficient surplus (NPSHc)2,jAnd the relational expression between flow Q
When blade angle is 0 ° (j=1):
When blade angle is-2 ° (j=2):
When blade angle is-4 ° (j=3):
When blade angle is-6 ° (j=4):
When blade angle is-8 ° (j=5):
It is D according to TJ11-HL-01 (i=2) guide vane mixed flow pump impeller diameter2,j, rotating speed be (nThe most high-lift operating point)2,jTime H2,j
And the relational expression between Q, tries to achieve H2,j=HThe most high-lift operating pointThe most high-lift operating point of described pump installation corresponding during=7.95m
Pump capacity ((QWater pump)The most high-lift operating point)2,j(being shown in Table 3)；By ((QWater pump)The most high-lift operating point)2,jSubstitute into TJ11-HL-01 (i=2) guide-vane
The a diameter of D of mixed-flow pump impeller2,j, rotating speed be (nThe most high-lift operating point)2,jTime (ηWater pump)2,jAnd the relational expression between Q, calculates to obtain described pump installation
The pump efficiency ((η of the most high-lift operating pointWater pump)The most high-lift operating point)2,j(being shown in Table 3)；By ((QWater pump)The most high-lift operating point)2,jSubstitute into TJ11-
HL-01 (i=2) guide vane mixed flow pump impeller diameter is D2,j, rotating speed be (nThe most high-lift operating point)2,jTime (NPSHc)2,jAnd the pass between Q
It is formula, calculates to obtain water pump Critical Cavitation Coefficient surplus ((NPSHc) of the most high-lift operating point of described pump installationThe most high-lift operating point)2,j(being shown in Table 3)；
By (10), (11) and (12) formula, 5 blade angles of TJ11-HL-02 (i=3) guide vane mixed flow pump model are existed
Pump head H in its range of operation3,jWith flow Q, pump efficiency (ηWater pump)3,jWith flow Q, water pump Critical Cavitation Coefficient surplus
(NPSHc)3,jAnd it is D that the relational expression between flow Q is scaled to impeller diameter3,j, pump rotary speed be (nThe most high-lift operating point)3,jTime pass
It it is formula；
1. pump head H3,jAnd the relational expression between flow Q
When blade angle is 0 ° (j=1):
When blade angle is-2 ° (j=2):
When blade angle is-4 ° (j=3):
When blade angle is-6 ° (j=4):
When blade angle is-8 ° (j=5):
2. pump efficiency (ηWater pump)3,jAnd the relational expression between flow Q
When blade angle is 0 ° (j=1):
When blade angle is-2 ° (j=2):
When blade angle is-4 ° (j=3):
When blade angle is-6 ° (j=4):
When blade angle is-8 ° (j=5):
3. water pump Critical Cavitation Coefficient surplus (NPSHc)3,jAnd the relational expression between flow Q
When blade angle is 0 ° (j=1):
When blade angle is-2 ° (j=2):
When blade angle is-4 ° (j=3):
When blade angle is-6 ° (j=4):
When blade angle is-8 ° (j=5):
It is D according to TJ11-HL-02 (i=3) guide vane mixed flow pump impeller diameter3,j, rotating speed be (nThe most high-lift operating point)3,jTime H3,j
And the relational expression between Q, tries to achieve H3,j=HThe most high-lift operating pointThe most high-lift operating point of described pump installation corresponding during=7.95m
Pump capacity ((QWater pump)The most high-lift operating point)3,j(being shown in Table 3)；By ((QWater pump)The most high-lift operating point)3,jSubstitute into TJ11-HL-02 (i=3) guide-vane
The a diameter of D of mixed-flow pump impeller3,j, rotating speed be (nThe most high-lift operating point)3,jTime (ηWater pump)3,jAnd the relational expression between Q, calculates to obtain described pump installation
The pump efficiency ((η of the most high-lift operating pointWater pump)The most high-lift operating point)3,j(being shown in Table 3)；By ((QWater pump)The most high-lift operating point)3,jSubstitute into TJ11-
HL-02 (i=3) guide vane mixed flow pump impeller diameter is D3,j, rotating speed be (nThe most high-lift operating point)3,jTime (NPSHc)3,jAnd the pass between Q
It is formula, calculates to obtain water pump Critical Cavitation Coefficient surplus ((NPSHc) of the most high-lift operating point of described pump installationThe most high-lift operating point)3,j(being shown in Table 3)；
(4) according to the pump capacity ((Q of (13) formula operating point the most high-lift to described pump installationWater pump)The most high-lift operating point)i,jCarry out
Revise, obtain pump installation the flow ((Q of the most high-lift operating point of described pump installationPump installation)The most high-lift operating point)i,j(being shown in Table 4)；
(5) on the basis of (4th) step work, application CFD approach calculates the most high-lift operating point of described pump installation respectively
The water inlet flow channel loss of flood peak ((Δ hWater inlet flow channel)The most high-lift operating point)i,jWith the outlet passage loss of flood peak ((Δ hOutlet passage)The most high-lift operating point)i,j
(being shown in Table 5)；Runner the efficiency ((η of the most high-lift operating point of described pump installation is calculated by (14) formulaRunner)The most high-lift operating point)i,j(it is shown in Table
5)；
(6) the pump assembly efficiency ((η of the most high-lift operating point of described pump installation is calculated by (15) formulaPump installation)The most high-lift operating point)i,j
(being shown in Table 6)；
(7) the most high-lift H of the pump installation of the present embodimentThe most high-lift operating pointFor 7.95m, calculate described pump installation by (16) formula the highest
The pump shaft power ((P of lift operating pointPump shaft)The most high-lift operating point)i,j(being shown in Table 7)；
(8) the forebay minimum operation water level at high-capacity pump station described in the present embodimentFor 3m, water pump vane center
ElevationFor 0.1m；Pump installation effective cavitation surplus of the most high-lift operating point of described pump installation is calculated by (17) formula
((NPSHa)The most high-lift operating point)i,j(being shown in Table 8)；
The described pump installation anti-cavitation safety coefficient (k of the most high-lift operating point is calculated by (18) formulaAnti-cavitation)i,j(being shown in Table 8)；
(9) each of jth blade angle is listed in affiliated i-th guide vane mixed flow pump main about calculating data
Result of calculation table (is shown in Table 9)；
5. the result of calculation of described 3 guide vane mixed flow pump pump installation schemes is collected list, is formed for described pump installation
Guide vane mixed flow pump device scheme table (being shown in Table 10) selected；
6. the present embodiment participates in all pump installation scheme pump installation anti-cavitation safety coefficients k than choosingAnti-cavitationMaximum
[(kAnti-cavitation)i,j]max=2.01, pump shaft power PPump shaftMinima [(PPump shaft)i,j]min=2469kW, water pump vane diameter D are
Little value [Di,j]min=3.255m；The individual event score of described three big factors is calculated respectively according to (19) formula, (20) formula and (21) formula
(being shown in Table 11)；According to (22) formula, calculate the comprehensive score participated in than three big factors described in all pump installation schemes of choosing, and by combining
The height closing score carries out ranking to all participation than the pump installation scheme of choosing, and result is listed in table 11；
8., according to table 11, with the guide vane mixed flow pump device scheme of i=1, j=4 as optimum, it is best suited for the present embodiment
Described high-capacity pump station；The model of the guide vane mixed flow pump model of the program is TJ04-HLD-02, and blade angle is-6 °, leaf
Wheel diameter is 3.64m, and the pump rotary speed of rated lift operating point is 75r/min, and the pump rotary speed of the most high-lift operating point is
94.5r/min。
Claims (3)
1. the method avoiding big flow guide vane mixed flow pump device to produce vibration under low lift operating mode, is characterized in that, bag
Include following steps:
(1) for intending the application single pump designs flow of high-capacity pump station pump installation of the present invention, rated lift and the most high-lift,
Current domestic in strict guide vane mixed flow pump Model Series that test, that hydraulic performance is good, choosing is listed and is likely to be suited for
N number of guide vane mixed flow pump model of described pumping plant, and by they the most numbered i=1,2,3 ..., N；
(2) it is scaled to impeller diameter D according to described N number of guide vane mixed flow pump model0=0.3m, rotating speed n0=1450r/min combines
Close performance curve, by the descending number consecutively of blade angle in each guide vane mixed flow pump model normal operation range be
J=1,2,3 ..., M, and list the highest stabilizing work lift of each blade angle of each guide vane mixed flow pump model
(Hmax)i,j；
(3) according to Research on Statistics and Analysis result, guide vane mixed flow pump model each blade angle water pump in its range of operation
Lift H and flow Q, pump efficiency ηWater pumpWith flow Q, water pump Critical Cavitation Coefficient surplus NPSHc and flow Q respectively with relational expression (1),
(2), (3) express:
1. the relation of second degree trinomial expression between pump head H and flow Q
H=A+BQ+CQ2 (1)
In formula, H is pump head, m；Q is flow, m3/s；A, B and C are respectively zero degree item, first order and quadratic term in (1) formula
Coefficient；
Relational expression (1) is used to calculate the flow Q of this operating point according to the lift H of a certain running operating point of guide vane mixed flow pump；
2. pump efficiency ηWater pumpAnd the relation of cubic polynomial between flow Q
ηWater pump=EQ+FQ2+GQ3 (2)
In formula, ηWater pumpFor pump efficiency, %；E, F and G are respectively first order, quadratic term and the coefficient of cubic term in (2) formula；
Relational expression (2) is used to calculate the water pump of this operating point according to the flow Q of a certain running operating point of guide vane mixed flow pump model
Efficiency etaWater pump；
3. the relation of cubic polynomial between water pump Critical Cavitation Coefficient surplus NPSHc and flow Q
NPSHc=R+SQ+TQ2+UQ3 (3)
In formula, NPSHc is water pump Critical Cavitation Coefficient surplus, m；R, S, T and U are respectively zero degree item, first order, quadratic term in (3) formula
Coefficient with cubic term；
Relational expression (3) is used to calculate the water pump of this operating point according to the flow Q of a certain running operating point of guide vane mixed flow pump model
Critical Cavitation Coefficient surplus NPSHc；
(4) according to the combination property curve of described N number of guide vane mixed flow pump model, in water pump normal operation range, lead one by one
Leaf formula mixed-flow pump model, complete the work of following step one by one blade angle:
1. for the jth blade angle of i-th guide vane mixed flow pump model, according to the rated lift of described pumping plant pump installation
With single pump designs flow, to reduce nD value as far as possible as principle, select suitable water pump vane diameter Di,j(unit is m) and water
Revolution speed ni,j(unit is r/min), makes described pump installation rated lift HPump installation rated liftOperating point is positioned at or is as closely as possible to
I guide vane mixed flow pump model, the peak efficiency district of jth blade angle energy characteristics, make the critical of this operating point simultaneously
Cavitation surplus is obviously reduced therewith；
2. on the basis of the 1. step work, the water pump vane diameter D selected by holdingi,jConstant, carry by improving pump rotary speed
High i-th guide vane mixed flow pump is highest stabilizing work lift (Hmax) when jth blade anglei,j, so that described pump dress
Put the most high-lift HPump installation is the most high-liftOperating point enters water pump stable work area；According to proportional law of pump, the water needed for calculating by formula (4)
Revolution speed:
In formula, kHFor safety coefficient, for guaranteeing that the most high-lift operating point is positioned at stable work area, take safety coefficient kH=0.95；
(nThe most high-lift operating point)i,jFor i-th guide vane mixed flow pump water pump of the most high-lift operating point of pump installation when jth blade angle
Rotating speed, r/min；
According to the requirement to tuning range of the high power frequency conversion power supply efficient operation, need to meet by the counted pump rotary speed of (4) formula
(nThe most high-lift operating point)i,j≤1.35ni,jCondition, if meeting this condition, carrying out the and 3. walking work, under otherwise returning the 1. step being carried out
The calculating of one blade angle；
3., on the basis of the 2. step work, according to guide vane mixed flow pump law of similitude, it is D by described impeller diameter0, rotating speed be n0
Guide vane mixed flow pump model combination property curve to be scaled impeller diameter be Di,j, rotating speed be (nThe most high-lift operating point)i,jGuide-vane
Mixed-flow pump prototype combination property curve；According to described guide vane mixed flow pump prototype combination property curve, at pump rotary speed it is
(nThe most high-lift operating point)i,jUnder conditions of, calculate i-th guide vane mixed flow pump described pump installation when jth blade angle and soar most
The pump capacity ((Q of journey operating pointWater pump)The most high-lift operating point)i,j, pump efficiency ((ηWater pump)The most high-lift operating point)i,jWith water pump Critical Cavitation Coefficient surplus
((NPSHc)The most high-lift operating point)i,j；
4. according to the experimental results of relation between the hydraulic performance of water pump in the hydraulic performance of pump installation and pump installation, press
The pump capacity ((Q of formula (5) operating point the most high-lift to described pump installationWater pump)The most high-lift operating point)i,jIt is modified, obtains described pump
The pump installation flow of the most high-lift operating point of device:
((QPump installation)The most high-lift operating point)i,j=kQ((QWater pump)The most high-lift operating point)i,j (5)
In formula, kQFor flow modificatory coefficient, kQ=0.89；((QPump installation)The most high-lift operating point)i,jExist for i-th guide vane mixed flow pump prototype
The pump installation flow of the most high-lift operating point of described pump installation, m during jth blade angle3/s；
5., on the basis of the 4. step work, application CFD approach calculates the water inlet of the most high-lift operating point of described pump installation respectively
The runner loss of flood peak ((Δ hWater inlet flow channel)The most high-lift operating point)i,jWith the outlet passage loss of flood peak ((Δ hOutlet passage)The most high-lift operating point)i,j；According to pump
The definition of device runner efficiency, calculates runner efficiency ((η during the most high-lift operating mode of described pump installationRunner)The most high-lift operating point)i,j；
6. according to pump assembly efficiency η in pump installationPump installationWith pump efficiency ηWater pump, runner efficiency etaRunnerBetween energy relationship, calculate
The pump assembly efficiency ((η of the most high-lift operating point of described pump installationPump installation)The most high-lift operating point)i,j；
7. according to pump assembly efficiency ηPump installationDefinition, calculate the pump shaft power of the most high-lift operating point of described pump installation
((PPump shaft)The most high-lift operating point)i,j；
8. according to pump installation effective cavitation surplus conventionally calculation formula, calculate more than the effective cavitation of pump installation of the most high-lift operating point
Amount ((NPSHa)The most high-lift operating point)i,j；According to the definition of pump installation anti-cavitation safety coefficient, calculate the described of the most high-lift operating point
Pump installation anti-cavitation safety coefficient (kAnti-cavitation)i,j:
9. the relevant calculating data of jth blade angle are listed in the main calculating of affiliated i-th guide vane mixed flow pump prototype
Result table；
1.～the calculating work 9. walked if 10. j ＜ M, then make j=j+1 and return the of (4th) step and 1. walk, again carrying out
Make；If j=M, then enter (5th) step；
1.～the calculating work 10. walked (5) if i is ＜ N, then make i=i+1 and return the of (4th) step and 1. walk, again carrying out
Make；If i=N, then enter (6th) step；
(6) result of calculation of N number of guide vane mixed flow pump prototype is collected list, form the guide-vane selected for described pump installation and mix
Stream pump installation scheme table；The main project that this table is listed includes: guide vane mixed flow pump model model, blade angle, water pump leaf
Wheel diameter, the pump rotary speed of rated lift operating point, the pump rotary speed of the most high-lift operating point, pump installation flow, water pump shaft work
Rate and pump installation anti-cavitation safety coefficient；
(7) pump installation anti-cavitation safety coefficient kAnti-cavitationIt is related to the stable operation of pump installation, pump shaft power PPump shaftDetermine motor
Match power, impeller diameter D determines water pump size；kAnti-cavitation、PPump shaftWith D for affect pump installation scheme preferred three big main because of
Element, according to they importances on pump installation impact, gives the weight of 0.55,0.25 and 0.20 respectively；For ease of leading described
Leaf formula mixed-flow pump device scheme carries out comprehensive and quantitative and compares, respectively to participate in the anti-sky of pump installation of all pump installation schemes than choosing
Change safety coefficient kAnti-cavitationMaximum, pump shaft power PPump shaftMinima and water pump vane diameter D minima on the basis of, meter
Calculate the individual event score of each factor, and the product summation to each individual event score with respective weight, to calculate combining of pump installation scheme
Close score；
(8) by the height of the comprehensive score calculating gained, all participation is carried out ranking than the pump installation scheme of choosing, select comprehensive
The guide vane mixed flow pump device scheme of highest scoring uses for described pumping plant.
One the most according to claim 1 avoids big flow guide vane mixed flow pump device to produce vibration under low lift operating mode
Method, it is characterized in that, to participate in the pump installation anti-cavitation safety coefficient of all pump installation schemes than choosing described in step (7)
kAnti-cavitationMaximum on the basis of, by (6) formula calculate kAnti-cavitationIndividual event score:
In formula, (XAnti-cavitation)i,jFor i-th guide vane mixed flow pump pump installation anti-cavitation safety coefficient when jth blade angle
Individual event score；[(kAnti-cavitation)i,j]maxFor participating in the maximum of the pump installation anti-cavitation safety coefficient of all pump installation schemes than choosing
Value；
To participate in the pump shaft power P of all pump installation schemes than choosing described in step (7)Pump shaftMinima on the basis of, press
(7) formula calculates PPump shaftIndividual event score:
In formula, (XPump shaft)i,jFor i-th guide vane mixed flow pump individual event score of pump shaft power when jth blade angle；
[(PPump shaft)i,j]minFor participating in the minima of the pump shaft power of all pump installation schemes than choosing；
Described in step (7) on the basis of the minima of the water pump vane diameter D participating in all pump installation schemes than choosing, press
(8) the individual event score of formula calculating D:
In formula, (XImpeller diameter)i,jObtain for the individual event of water pump vane diameter when jth blade angle of i-th guide vane mixed flow pump
Point；[Di,j]minFor participating in the minima of the water pump vane diameter of all pump installation schemes than choosing；
To described pump installation anti-cavitation safety coefficient kAnti-cavitation, pump shaft power PPump shaft, impeller diameter D tri-big factor each individual event score
Sue for peace with the product of respective weight:
Xi,j=(XAnti-cavitation)i,j×0.55+(XPump shaft)i,j×0.25+(XImpeller diameter)i,j×0.20 (9)
In formula, Xi,jFor i-th guide vane mixed flow pump when jth blade angle described in the most high-lift operating point of pump installation
The comprehensive score of three big factors.
3. the big flow guide vane mixed flow pump device of avoiding as described in claim 1-2 produces the side of vibration under low lift operating mode
The application on high-capacity pump station that method is relatively low at rated lift, the most high-lift higher and both differences are bigger.
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| CN106971019A (en) * | 2017-02-22 | 2017-07-21 | 江苏大学 | A kind of higher specific speed axial pump vane Hydraulic Design Method |
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