CN105952651B - A kind of method and its application for avoiding big flow guide vane mixed flow pump device from producing vibration under low lift operating mode - Google Patents
A kind of method and its application for avoiding big flow guide vane mixed flow pump device from producing vibration under low lift operating mode Download PDFInfo
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- CN105952651B CN105952651B CN201610344143.3A CN201610344143A CN105952651B CN 105952651 B CN105952651 B CN 105952651B CN 201610344143 A CN201610344143 A CN 201610344143A CN 105952651 B CN105952651 B CN 105952651B
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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
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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
- 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 kind of method and its application for avoiding big flow guide vane mixed flow pump device from producing vibration under low lift operating mode, belong to hydraulic engineering pumping plant technical field.This method is characterized in：To ensure that guide vane mixed flow pump device has good anti-cavitation performance in the rated lift operating mode compared with low lift, in pump selection, as far as possible using relatively lownDValue；In the highest lift operating mode of pump installation, pump rotary speed is properly increased using variable-frequency power sources, so that the operating point of pump installation enters the stable work area of water pump；Comprehensive score with pump installation anti-cavitation safety coefficient, three principal elements of pump shaft power and impeller diameter is up to foundation, is preferably best suited for the guide vane mixed flow pump device scheme of the pumping plant.Present invention is mainly used for rated lift is relatively low, highest lift is higher, both differ larger big flow pumping plant.The safe and stable operation that the method for the present invention differs larger big flow drainage pumping stations with highest lift to guarantee rated lift is significant.
Description
Technical field
The invention belongs to hydraulic engineering pumping plant technical field, and in particular to one kind avoids big flow guide vane mixed flow pump device
The method and its application of vibration are produced under low lift operating mode, are mainly used in that rated lift is relatively low, highest lift is higher, Liang Zhexiang
The larger big flow pumping plant of difference.
Background technology
The rated lifts of some big flow drainage pumping stations of east China riparian area is relatively low, highest lift is higher, Liang Zhexiang
Difference is larger.Such pumping plant, if from axial-flow pump device, good waterpower can be obtained in its rated lift operating mode
Performance, but it will enter the unstable operation area of water pump in highest lift operating mode；If, can from guide vane mixed flow pump device
Ensure water pump steady operation in highest lift operating mode, but then may be poor because of water pump cavitation performance in its rated lift operating mode
And produce judder.Existing method is to select guide vane mixed flow pump device, though pumping plant in this way can ensure it
Stability when highest lift operating mode is run, but it cannot be guaranteed that it obtains good hydraulic performance when design conditions are run,
When being run compared with low lift operating mode obvious cavitation vibration can occur for even some pumping plants, badly influence the stabilization of water pump assembly
Operation.
The content of the invention
The purpose of the present invention there is provided one kind avoids big flow guide vane mixed flow pump device aiming at the defect of the above method
The method and its application of vibration are produced under low lift operating mode, the present invention is with pump installation anti-cavitation safety coefficient, pump shaft power
Comprehensive score with three principal elements such as impeller diameter is up to foundation, and leading for the pumping plant is preferably best suited for by calculating
Leaf formula mixed-flow pump and blade angle, impeller diameter and rotating speed, to ensure that pump installation can be in the higher highest lift work of lift
Condition steady operation, can have excellent hydraulic performance in the relatively low rated lift operating mode of lift again.The invention is characterized in that：For
The pumping plant that rated lift is relatively low, highest lift is higher, to ensure that it is good that guide vane mixed flow pump device has in rated lift operating mode
Anti-cavitation performance, carry out pump selection when, as far as possible use relatively low nD values；In highest lift operating mode, by using change
Frequency power improves pump rotary speed, the highest lift operating point of pump installation is entered the stable work area of water pump；Calculate pump installation most
Flow, efficiency, pump shaft power, Critical Cavitation Coefficient surplus and the pump installation anti-cavitation safety coefficient of high-lift operating point；Current
The pumping plant is likely to be suited for by the good guide vane mixed flow pump Model Series of strictly test, hydraulic performance, choosing is listed
Guide vane mixed flow pump model, calculated and investigated guide vane mixed flow pump model one by one, with pump installation anti-cavitation safely be
The comprehensive score of three principal elements such as number, pump shaft power and impeller diameter is up to 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 is provided differs larger to guarantee rated lift with highest lift
The safe and stable operations of riparian area big flow drainage pumping stations be of great significance.
To realize the purpose of the present invention, adopt the following technical scheme that：
(1) for intending using the single pump designs flow of big flow pumping plant pump installation of the invention, rated lift and most soaring
Journey, it is current domestic by it is strictly testing, in the guide vane mixed flow pump Model Series that hydraulic performance is good, choosing is listed and may fitted
For N number of guide vane mixed flow pump model of the pumping plant, and it is i=1 that they, which are sequentially numbered, 2,3 ..., N；
(2) impeller diameter D is scaled to according to N number of guide vane mixed flow pump model0=0.3m, rotating speed n0=1450r/min
Combination property curve, compile the blade angle in each guide vane mixed flow pump model normal operation range is descending successively
Number be j=1,2,3 ..., M, and list each guide vane mixed flow pump model each blade angle highest stabilizing work
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 pumpCan be respectively with following with flow Q, water pump Critical Cavitation Coefficient surplus NPSHc and flow Q
Relational expression is expressed：
1. between pump head H and flow Q second degree trinomial expression relation
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, first order and two in (1) formula
The coefficient of secondary item；
The stream of the operating point can be calculated according to the lift H of a certain running operating point of guide vane mixed flow pump with relational expression (1)
Measure Q；
2. pump efficiency ηWater pumpThe 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 the coefficient of first order, quadratic term and cubic term in (2) formula；
The operating point can be calculated according to the flow Q of a certain running operating point of guide vane mixed flow pump model with relational expression (2)
Pump efficiency ηWater pump；
3. between water pump Critical Cavitation Coefficient surplus NPSHc and flow Q cubic polynomial relation
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, two in (3) formula
The coefficient of secondary item and cubic term；
The operating point can be calculated according to the flow Q of a certain running operating point of guide vane mixed flow pump model with relational expression (3)
Water pump Critical Cavitation Coefficient surplus NPSHc；
(4) according to the combination property curve of N number of guide vane mixed flow pump model, in water pump normal operation range, by
Individual guide vane mixed flow pump model, the work for completing following step one by one blade angle：
1. for j-th of blade angle of i-th of guide vane mixed flow pump model, according to the design of the pumping plant pump installation
Lift and single pump designs flow, to reduce nD values 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 the pump installation rated lift HPump installation rated liftOperating point be located at or as close possible to
In i-th guide vane mixed flow pump model, the peak efficiency area of j-th blade angle energy characteristics, while making the operating point
Critical Cavitation Coefficient surplus is obviously reduced therewith；
2. on the basis of the 1. step work, selected water pump vane diameter D is kepti,jIt is constant, turned by improving water pump
Speed improves i-th of guide vane mixed flow pump highest stabilizing work lift (Hmax) in j-th of blade anglei,j, so that described
Pump installation highest lift HPump installation highest 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, to ensure that highest lift operating point is located at stable work area, safety coefficient k is takenH=
0.95；(nHighest lift operating point)i,jFor i-th of guide vane mixed flow pump in j-th of blade angle pump installation highest lift operating point
Pump rotary speed, r/min；
Requirement according to high power frequency conversion power supply efficient operation to tuning range, need to be expired by the counted pump rotary speed of (4) formula
Foot (nHighest lift operating point)i,j≤1.35ni,jCondition, the is carried out if this condition is met and 3. walks work, otherwise return the 1. step carry out
The calculating of next blade angle；
3. it is D by the impeller diameter according to the guide vane mixed flow pump law of similitude on the basis of the 2. step work0, rotating speed
For n0Guide vane mixed flow pump model combination property curve be scaled impeller diameter for Di,j, rotating speed be (nHighest lift operating point)i,jLead
Leaf formula mixed-flow pump prototype combination property curve；According to the guide vane mixed flow pump prototype combination property curve, it is in pump rotary speed
(nHighest lift operating point)i,jUnder conditions of, calculate i-th of guide vane mixed flow pump pump installation in j-th of blade angle and most soar
The pump capacity ((Q of journey operating pointWater pump)Highest lift operating point)i,j, pump efficiency ((ηWater pump)Highest lift operating point)i,jWith water pump Critical Cavitation Coefficient surplus
((NPSHc)Highest lift operating point)i,j；
4. according to the numerous studies knot to relation between the hydraulic performance of water pump in the hydraulic performance and pump installation of pump installation
Really, pump capacity ((Q that can as the following formula to the pump installation highest lift operating pointWater pump)Highest lift operating point)i,jIt is modified, obtains
The pump installation flow of the pump installation highest lift operating point：
((QPump installation)Highest lift operating point)i,j=kQ((QWater pump)Highest lift operating point)i,j (5)
In formula, kQFor flow modificatory coefficient, kQ=0.89；((QPump installation)Highest lift operating point)i,jIt is former for i-th of guide vane mixed flow pump
The pump installation flow of type pump installation highest lift operating point in j-th of blade angle, m3/s；
5. on the basis of the 4. step work, the pump installation highest lift operating point is calculated respectively using CFD approach
The water inlet flow channel loss of flood peak ((Δ hWater inlet flow channel)Highest lift operating point)i,jWith the outlet passage loss of flood peak ((Δ hOutlet passage)Highest lift operating point)i,j；Root
According to the definition of pump installation runner efficiency, runner the efficiency ((η during pump installation highest lift operating mode is calculatedRunner)Highest 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 pump installation highest lift operating pointPump installation)Highest lift operating point)i,j；
7. according to pump assembly efficiency ηPump installationDefinition, calculate the pump shaft power of the pump installation highest lift operating point
((PPump shaft)Highest lift operating point)i,j；
8. according to the effective cavitation surplus conventionally calculation formula of pump installation, the pump installation for calculating highest lift operating point is effectively empty
Change surplus ((NPSHa)Highest lift operating point)i,j；According to the definition of pump installation anti-cavitation safety coefficient, highest lift operating point is calculated
The pump installation anti-cavitation safety coefficient (kAnti-cavitation)i,j：
9. the relevant calculating data of j-th of blade angle are included in the main of affiliated i-th of guide vane mixed flow pump prototype
Result of calculation table；
If 10. j ＜ M, make j=j+1 and return to the of (4) step and 1. walk, the calculating the 1.~the 9. walked is carried out again
Work；If j=M, into (5) step；
(5) if i ＜ N, make i=i+1 and return to the of (4) step and 1. walk, the meter the 1.~the 10. walked is carried out again
Calculate work；If i=N, into (6) step；
(6) result of calculation of N number of guide vane mixed flow pump prototype is collected into list, forms the stator selected for the pump installation
Formula mixed flow pump installation scheme table；The main project that the 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 highest 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 shaftIt is three preferred big masters of influence pump installation scheme with D
Want factor, according to they on pump installation influence importance, give respectively 0.55,0.25 and 0.20 weight；For ease of to institute
State guide vane mixed flow pump device scheme and carry out comprehensive and quantitative comparison, respectively to participate in the pump installations of all pump installation schemes than choosing
Anti-cavitation safety coefficient kAnti-cavitationMaximum, pump shaft power PPump shaftMinimum value and water pump vane diameter D minimum value be base
Standard, calculates the individual event score of each factor, and the product of each individual event score and respective weight is summed, to calculate pump installation scheme
Comprehensive score；
(8) height of the comprehensive score as obtained by calculating participates in carrying out ranking than the pump installation scheme of choosing to all, selects
Comprehensive score highest guide vane mixed flow pump device scheme is used for the 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
Meter lift is relatively low, highest lift is higher and both larger big flow pumping plants of difference.
The object of the present invention is achieved like this：
(1) for intending using the single pump designs flow of big flow pumping plant pump installation of the invention, rated lift and most soaring
Journey, it is current domestic by it is strictly testing, in the guide vane mixed flow pump Model Series that hydraulic performance is good, choosing is listed and may fitted
For N number of guide vane mixed flow pump model of the pumping plant, and it is i=1 that they, which are sequentially numbered, 2,3 ..., N；
(2) impeller diameter D is scaled to according to N number of guide vane mixed flow pump model0=0.3m, rotating speed n0=1450r/min
Combination property curve, compile the blade angle in each guide vane mixed flow pump model normal operation range is descending successively
Number be j=1,2,3 ..., M, and list each guide vane mixed flow pump model each blade angle highest stabilizing work
Lift (Hmax)i,j；
(3) impeller diameter D is scaled to according to N number of guide vane mixed flow pump model0=0.3m, rotating speed n0=1450r/min
Combination property curve, guide vane mixed flow pump model, the water pump listed one by one in its range of operation are raised blade angle one by one
Journey HI, jWith flow Q, pump efficiency (ηWater pump)i,jWith flow Q, water pump Critical Cavitation Coefficient surplus (NPSHc)i,jWith the pass between flow Q
It is formula；
1. pump head H during i-th of guide vane mixed flow pump j-th of blade angle of modeli,jIt is secondary between flow Q
Trinomial relation
Hi,j=Ai,j+Bi,jQ+Ci,jQ2 (6)
In formula, Hi,jPump head during for i-th of guide vane mixed flow pump j-th of blade angle of model, m；Ai,j、Bi,j
And Ci,jZero degree during respectively i-th guide vane mixed flow pump j-th of blade angle of model, first order and quadratic term are
Number；
2. pump efficiency (η during i-th of guide vane mixed flow pump j-th of blade angle of modelWater pump)i,jBetween flow Q
Cubic polynomial relation
(ηWater pump)i,j=Ei,jQ+Fi,jQ2+Gi,jQ3 (7)
In formula, (ηWater pump)i,jPump efficiency during for i-th of guide vane mixed flow pump j-th of blade angle of model, %；
Ei,j、Fi,jAnd Gi,jFirst order, quadratic term during respectively i-th guide vane mixed flow pump j-th of blade angle of model and three times
The coefficient of item；
3. water pump Critical Cavitation Coefficient surplus (NPSHc) during i-th of guide vane mixed flow pump j-th of blade angle of modeli,jWith stream
Measure the cubic polynomial relation between Q
(NPSHc)i,j=Ri,j+Si,jQ+Ti,jQ2+Ui,jQ3 (8)
In formula, (NPSHc)i,jWater pump Critical Cavitation Coefficient during for i-th of guide vane mixed flow pump j-th of blade angle of model
Surplus, %；Ri,j、Si,j、Ti,jAnd Ui,jZero degree during respectively i-th guide vane mixed flow pump j-th of blade angle of model,
The coefficient of first order, quadratic term and cubic term；
(4) according to the combination property curve of N number of guide vane mixed flow pump model, in water pump normal operation range, by
Individual guide vane mixed flow pump model, the work for completing following step one by one blade angle：
1. for j-th of blade angle of i-th of guide vane mixed flow pump model, according to the design of the pumping plant pump installation
Lift and single pump designs flow, to reduce nD values 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 the pump installation rated lift HPump installation rated liftOperating point be located at or as close possible to
In the peak efficiency area of the guide vane mixed flow pump, the blade angle, at the same make the Critical Cavitation Coefficient surplus of the operating point with
Be obviously reduced；
2. on the basis of the 1. step work, selected water pump vane diameter D is kepti,jIt is constant, turned by improving water pump
Speed improves i-th of guide vane mixed flow pump highest stabilizing work lift (Hmax) in j-th of blade anglei,j, so that described
Pump installation highest lift HPump installation highest 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, to ensure that pump installation highest lift operating point is located at stable work area, safety coefficient is taken
kH=0.95；(nHighest lift operating point)i,jFor i-th of guide vane mixed flow pump in j-th of blade angle pump installation highest lift operating mode
The pump rotary speed of point, r/min；
Requirement according to high power frequency conversion power supply efficient operation to tuning range, need to be expired by the counted pump rotary speed of (9) formula
Foot (nHighest lift operating point)i,j≤1.35ni,jCondition, the is carried out if this condition is met and 3. walks work, otherwise return the 1. step carry out
The calculating of next blade angle；
3. it is D by the impeller diameter according to the guide vane mixed flow pump law of similitude on the basis of the 2. step work0, rotating speed
For n0Guide vane mixed flow pump model combination property curve be scaled impeller diameter for Di,j, rotating speed be (nHighest lift operating point)i,jLead
Leaf formula mixed-flow pump prototype combination property curve；According to the guide vane mixed flow pump prototype combination property curve, it is in pump rotary speed
(nHighest lift operating point)i,jUnder conditions of, calculate i-th of guide vane mixed flow pump pump installation in j-th of blade angle and most soar
The pump capacity ((Q of journey operating pointWater pump)Highest lift operating point)i,j, pump efficiency ((ηWater pump)Highest lift operating point)i,jWith water pump Critical Cavitation Coefficient surplus
((NPSHc)Highest lift operating point)i,j；
According to affinity law of pump, one by one guide vane mixed flow pump, one by one blade angle by the pump head Hi,jWith stream
Measure Q, pump efficiency (ηWater pump)i,jWith flow Q, water pump Critical Cavitation Coefficient surplus (NPSHc)i,jRelational expression between flow Q is scaled to
Impeller diameter is Di,j, pump rotary speed be (nHighest lift operating point)i,jWhen expression formula：
According to relational expression (10), H can be tried to achievei,j=HHighest lift operating pointWhen corresponding i-th of guide vane mixed flow pump at j-th
The pump capacity ((Q of pump installation highest lift operating point during blade angleWater pump)Highest lift operating point)i,j；
By ((QWater pump)Highest lift operating point)i,jSubstitution formula (11), obtains i-th of guide vane mixed flow pump in j-th of blade angle finally
The pump efficiency ((η of Shi Suoshu pump installation highest lift operating pointsWater pump)Highest lift operating point)i,j；
By ((QWater pump)Highest lift operating point)i,jSubstitution formula (12), obtains i-th of guide vane mixed flow pump in j-th of blade angle finally
The water pump Critical Cavitation Coefficient surplus ((NPSHc) of Shi Suoshu pump installation highest lift operating pointsHighest lift operating point)i,j；
4. pump capacity ((Q as the following formula to the pump installation highest lift operating pointWater pump)Highest lift operating point)i,jIt is modified,
Obtain the pump installation flow of the pump installation highest lift operating point：
((QPump installation)Highest lift operating point)i,j=0.89 ((QWater pump)Highest lift operating point)i,j (13)
In formula, ((QPump installation)Highest lift operating point)i,jFor i-th of guide vane mixed flow pump, in j-th of blade angle, the pump is filled
Put the pump installation flow of highest lift operating point, m3/s；
5. on the basis of the 4. step work, i-th of guide vane mixed flow pump is calculated respectively using CFD approach in j-th of leaf
The water inlet flow channel loss of flood peak ((the Δ h of pump installation highest lift operating point during piece laying angleWater inlet flow channel)Highest lift operating point)i,jWith go out
The water flow passage loss of flood peak ((Δ hOutlet passage)Highest lift operating point)i,j；According to the definition of pump installation runner efficiency, the pump installation is calculated most
The runner efficiency of high-lift operating point：
In formula, ((ηRunner)Highest lift operating point)i,jFor i-th of guide vane mixed flow pump in j-th of blade angle pump installation highest
The runner efficiency of lift operating point, %；((ΔhRunner)Highest lift operating point)i,jLaid for i-th of guide vane mixed flow pump in j-th of blade
The water inlet flow channel of pump installation highest lift operating point and outlet passage loss of flood peak sum, i.e. ((Δ h during angleRunner)Highest lift operating point)i,j
=((Δ hWater inlet flow channel)Highest lift operating point)i,j+((ΔhOutlet passage)Highest 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
Formula calculates the pump assembly efficiency of the pump installation highest lift operating point：
((ηPump installation)Highest lift operating point)i,j=((ηWater pump)Highest lift operating point)i,j×((ηRunner)Highest lift operating point)i,j× 100% (15)
In formula, ((ηPump installation)Highest lift operating point)i,jFor i-th of guide vane mixed flow pump in j-th of blade angle in pump installation
The pump assembly efficiency of highest lift operating point, %；
7. according to pump assembly efficiency ηPump installationDefinition, the pump shaft of the pump installation highest lift operating point is calculated as follows
Power：
In formula, ((PPump shaft)Highest lift operating point)i,jFor i-th of guide vane mixed flow pump in j-th of blade angle pump installation highest
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 the effective cavitation surplus conventionally calculation formula of pump installation, the pump installation highest lift operating mode is calculated as follows
The effective cavitation surplus of pump installation of point：
In formula, ((NPSHa)Highest lift operating point)i,jFor i-th of guide vane mixed flow pump, in j-th of blade angle, pump installation is most
The effective cavitation surplus of pump installation of high-lift operating point, m；For the pump installation forebay minimum operation water level, m；For the pump installation water pump vane center elevation, m；
According to the definition of pump installation anti-cavitation safety coefficient, the pump installation anti-cavitation peace of highest lift operating point is calculated
Overall coefficient：
In formula, (kAnti-cavitation)i,jFor i-th of guide vane mixed flow pump in j-th of blade angle pump installation highest lift operating mode
The pump installation anti-cavitation safety coefficient of point；
9. by j-th blade angle it is each about calculate data be included in belonging to i-th of guide vane mixed flow pump prototype
Main calculation results table；The data that the 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 pump installation highest lift operating point, 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
The effective cavitation surplus of device, water pump Critical Cavitation Coefficient surplus and pump installation anti-cavitation safety coefficient；
If 10. j ＜ M, make j=j+1 and return to the of (4) step and 1. walk, the calculating the 1.~the 9. walked is carried out again
Work；If j=M, into (5) step；
(5) if i ＜ N, make i=i+1 and return to the of (4) step and 1. walk, the meter the 1.~the 10. walked is carried out again
Calculate work；If i=N, into (6) step；
(6) result of calculation of N number of guide vane mixed flow pump prototype is collected into list, forms the stator selected for the pump installation
Formula mixed flow pump installation scheme table, the important technological parameters index that the table is listed includes：Guide vane mixed flow pump model model, blade peace
Put angle, water pump vane diameter, the pump rotary speed of pump installation rated lift operating point, the water pump turn of pump installation highest lift operating point
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 shaftIt is three preferred big masters of influence pump installation scheme with D
Want factor, according to they on pump installation influence importance, give respectively 0.55,0.25 and 0.20 weight；
To participate in the 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 of guide vane mixed flow pump, in j-th of blade angle, pump installation anti-cavitation is safely
Several individual event scores；[(kAnti-cavitation)i,j]maxTo participate in the pump installation anti-cavitation safety coefficient of all pump installation schemes than choosing most
Big value；
To participate in the pump shaft power P of all pump installation schemes than choosingPump shaftMinimum value on the basis of, calculate PPump shaftIndividual event
Score：
In formula, (XPump shaft)i,jFor i-th of guide vane mixed flow pump, in j-th of blade angle, the individual event of pump shaft power is obtained
Point；[(PPump shaft)i,j]minFor the minimum value for the pump shaft power for participating in all pump installation schemes than choosing；
On the basis of the water pump vane diameter D minimum value for participating in all pump installation schemes than choosing, the individual event for calculating D is obtained
Point：
In formula, (XImpeller diameter)i,jFor the list of i-th of guide vane mixed flow pump water pump vane diameter in j-th of blade angle
Item score；[Di,j]minFor the minimum value for the water pump vane diameter for participating in all pump installation schemes than choosing；
Product to described three big each individual event scores of factor and respective weight is summed：
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 of guide vane mixed flow pump in j-th of blade angle pump installation highest lift operating point
The comprehensive score of the three big factor；
(8) height of the comprehensive score as obtained by calculating participates in carrying out than the guide vane mixed flow pump device scheme of choosing to all
Ranking, selects comprehensive score highest pump installation scheme and is used for the pumping plant.
Compared with the conventional method, the invention has the advantages that：
First, efficiently solve rated lift larger big flow guide vane mixed flow pump device is differed with highest lift and raising
The problem of relatively low design conditions of journey produce vibration.
Second, pump selection is carried out by using relatively low nD values, the waterpower of pump installation design conditions is substantially improved
Energy.
3rd, it is no longer necessary to adjustment of blade angle mechanism, so as to simplify set structure, it is possible to decrease fault rate, raising machine
The normal reliability of operation of group.
4th, soft start and the soft stop of unit are carried out using frequency control, is started and shutdown with improving water pump assembly
When transient response.
Embodiment
The present invention is described in further detail with reference to embodiment.
The pump installation of certain big flow pumping plant, its rated lift and highest lift are 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 highest lift differs larger with minimum lift, therefore the present embodiment selects guide vane mixed flow pump device, to ensure water pump most
Can steady operation during high-lift operating mode；Meanwhile, in order to avoid water pump in the relatively low rated lift operating mode of lift because of water pump cavitation
Poor performance and produce judder, the method for intending the application present invention carries out calculating and excellent to the guide vane mixed flow pump device at the station
Choosing.
The guide vane mixed flow pump device scheme calculate using the present invention and preferred step is as follows：
1. for single pump designs flow, rated lift and the highest lift of the present embodiment big flow pumping plant, current domestic
By in the good guide vane mixed flow pump Model Series of strictly test, hydraulic performance, 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 applicable, it is i=1 that they, which are sequentially numbered, 2,
3；
2. impeller diameter D is scaled to according to above-mentioned 3 guide vane mixed flow pump models0=0.3m, rotating speed n0=1450r/min
Combination property curve, by model TJ04-HLD-02 (i=1) guide vane mixed flow pump model normal operation range intra vane
Laying angle is 0 °, -2 °, -4 °, -6 ° and -8 ° of number consecutivelies are j=1,2,3,4,5, by model TJ11-HL-01 (i=
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, model TJ11-HL-02 (i=3) guide vane mixed flow pump model normal operation range intra vane is pacified
Put that angle is 0 °, -2 °, -4 °, -6 ° and -8 ° of number consecutivelies are j=1,2,3,4,5；By 3 guide vane mixed flow pump models
The highest stabilizing work lift (Hmax) of each blade anglei,jIt is listed in table 1；
The highest stabilizing work lift (D of 1 the present embodiment of table, 3 each blade angles of guide vane mixed flow pump model0=
0.3m、n0=1450r/min)
3. according to the combination property curve of 3 guide vane mixed flow pump models, guide vane mixed flow pump model, one by one one by one
List the 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,jWith the relational expression between flow Q；
(1) TJ04-HLD-02 (i=1) guide vane mixed flow pump model
1. the pump head H of 5 blade angles1,jThe 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,jThe 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. the water pump Critical Cavitation Coefficient surplus (NPSHc) of 5 blade angles1,jThe relation of cubic polynomial between flow Q
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. the pump head H of 5 blade angles2,jThe 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,jThe 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. the water pump Critical Cavitation Coefficient surplus (NPSHc) of 5 blade angles2,jThe relation of cubic polynomial between flow Q
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. the pump head H of 5 blade angles3,jThe 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,jThe 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. the water pump Critical Cavitation Coefficient surplus (NPSHc) of 5 blade angles3,jThe relation of cubic polynomial between flow Q
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 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 j-th of blade angle of i-th of guide vane mixed flow pump model, according to setting for the pumping plant pump installation
Lift and single pump designs flow are counted, to reduce nD values as far as possible as principle, suitable water pump vane diameter D is selectedi,j(unit is
M) with pump rotary speed ni,j(unit is r/min), makes the pump installation rated lift HPump installation rated liftOperating point is located at or connect as far as possible
The peak efficiency area of the guide vane mixed flow pump, the blade angle is bordering on, while making the Critical Cavitation Coefficient surplus of the operating point
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 j-th of blade angle of i-th of guide vane mixed flow pump model, on the basis of the work of (1) step,
Keep selected water pump vane diameter Di,jIt is constant, the highest stabilizing work of the guide vane mixed flow pump is improved by improving rotating speed
Make lift (Hmax)i,j, so that the highest lift H of the pump installationPump installation highest liftOperating point can enter water pump steady operation
Area；According to proportional law of pump, the pump rotary speed (n needed for being calculated by (9) formulaHighest 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) it is D by the impeller diameter according to the guide vane mixed flow pump law of similitude on the basis of the work of (2) step0, turn
Speed is n0Guide vane mixed flow pump model combination property curve be scaled impeller diameter for Di,j, rotating speed be (nHighest lift operating point)i,j's
Guide vane mixed flow pump prototype combination property curve；
TJ04-HLD-02 (i=1) guide vane mixed flow pumps 5 blade angles of model are existed by (10), (11) and (12) formula
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,jRelational expression between flow Q is scaled to impeller diameter for D1,j, pump rotary speed be (nHighest lift operating point)1,jWhen pass
It is formula；
1. pump head H1,jWith 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,jWith 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,jWith 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 pumps impeller diameter1,j, rotating speed be (nHighest lift operating point)1,jWhen
H1,jRelational expression between Q, tries to achieve H1,j=HHighest lift operating pointCorresponding pump installation highest lift operating point during=7.95m
Pump capacity ((QWater pump)Highest lift operating point)1,j(being shown in Table 3)；By ((QWater pump)Highest 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 (nHighest lift operating point)1,jWhen (ηWater pump)1,jRelational expression between Q, calculates to obtain the pump dress
Put the pump efficiency ((η of highest lift operating pointWater pump)Highest lift operating point)1,j(being shown in Table 3)；By ((QWater pump)Highest lift operating point)1,jSubstitute into TJ04-
HLD-02 (i=1) guide vane mixed flow pumps impeller diameter is D1,j, rotating speed be (nHighest lift operating point)1,jWhen (NPSHc)1,jBetween Q
Relational expression, calculate the pump installation highest lift operating point water pump Critical Cavitation Coefficient surplus ((NPSHc)Highest lift operating point)1,j(it is shown in Table
3)；
TJ11-HL-01 (i=2) guide vane mixed flow pumps 5 blade angles of model are existed by (10), (11) and (12) formula
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,jRelational expression between flow Q is scaled to impeller diameter for D2,j, pump rotary speed be (nHighest lift operating point)2,jWhen pass
It is formula；
1. pump head H2,jWith 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,jWith 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,jWith 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 pumps impeller diameter2,j, rotating speed be (nHighest lift operating point)2,jWhen H2,j
Relational expression between Q, tries to achieve H2,j=HHighest lift operating pointCorresponding pump installation highest lift operating point during=7.95m
Pump capacity ((QWater pump)Highest lift operating point)2,j(being shown in Table 3)；By ((QWater pump)Highest 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 (nHighest lift operating point)2,jWhen (ηWater pump)2,jRelational expression between Q, calculates to obtain the pump installation
The pump efficiency ((η of highest lift operating pointWater pump)Highest lift operating point)2,j(being shown in Table 3)；By ((QWater pump)Highest lift operating point)2,jSubstitute into TJ11-
HL-01 (i=2) guide vane mixed flow pumps impeller diameter is D2,j, rotating speed be (nHighest lift operating point)2,jWhen (NPSHc)2,jPass between Q
Be formula, calculate the pump installation highest lift operating point water pump Critical Cavitation Coefficient surplus ((NPSHc)Highest lift operating point)2,j(being shown in Table 3)；
TJ11-HL-02 (i=3) guide vane mixed flow pumps 5 blade angles of model are existed by (10), (11) and (12) formula
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,jRelational expression between flow Q is scaled to impeller diameter for D3,j, pump rotary speed be (nHighest lift operating point)3,jWhen pass
It is formula；
1. pump head H3,jWith 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,jWith 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,jWith 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 pumps impeller diameter3,j, rotating speed be (nHighest lift operating point)3,jWhen H3,j
Relational expression between Q, tries to achieve H3,j=HHighest lift operating pointCorresponding pump installation highest lift operating point during=7.95m
Pump capacity ((QWater pump)Highest lift operating point)3,j(being shown in Table 3)；By ((QWater pump)Highest 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 (nHighest lift operating point)3,jWhen (ηWater pump)3,jRelational expression between Q, calculates to obtain the pump installation
The pump efficiency ((η of highest lift operating pointWater pump)Highest lift operating point)3,j(being shown in Table 3)；By ((QWater pump)Highest lift operating point)3,jSubstitute into TJ11-
HL-02 (i=3) guide vane mixed flow pumps impeller diameter is D3,j, rotating speed be (nHighest lift operating point)3,jWhen (NPSHc)3,jPass between Q
Be formula, calculate the pump installation highest lift operating point water pump Critical Cavitation Coefficient surplus ((NPSHc)Highest lift operating point)3,j(being shown in Table 3)；
(4) according to pump capacity ((Q of (13) formula to the pump installation highest lift operating pointWater pump)Highest lift operating point)i,jCarry out
Amendment, obtains pump installation the flow ((Q of the pump installation highest lift operating pointPump installation)Highest lift operating point)i,j(being shown in Table 4)；
(5) on the basis of the work of (4) step, the pump installation highest lift operating point is calculated respectively using CFD approach
The water inlet flow channel loss of flood peak ((Δ hWater inlet flow channel)Highest lift operating point)i,jWith the outlet passage loss of flood peak ((Δ hOutlet passage)Highest lift operating point)i,j
(being shown in Table 5)；Runner the efficiency ((η of the pump installation highest lift operating point is calculated by (14) formulaRunner)Highest lift operating point)i,j(it is shown in Table
5)；
(6) the pump assembly efficiency ((η of the pump installation highest lift operating point is calculated by (15) formulaPump installation)Highest lift operating point)i,j
(being shown in Table 6)；
(7) the pump installation highest lift H of the present embodimentHighest lift operating pointFor 7.95m, the pump installation highest is calculated by (16) formula
The pump shaft power ((P of lift operating pointPump shaft)Highest lift operating point)i,j(being shown in Table 7)；
(8) the forebay minimum operation water level of big flow pumping plant described in the present embodimentFor 3m, water pump vane center
ElevationFor 0.1m；The effective cavitation surplus of pump installation of the pump installation highest lift operating point is calculated by (17) formula
((NPSHa)Highest lift operating point)i,j(being shown in Table 8)；
The pump installation anti-cavitation safety coefficient (k of highest lift operating point is calculated by (18) formulaAnti-cavitation)i,j(being shown in Table 8)；
(9) by j-th blade angle it is each about calculate data be included in belonging to i-th of guide vane mixed flow pump it is main
Result of calculation table (is shown in Table 9)；
5. the result of calculation of 3 guide vane mixed flow pumps pump installation scheme is collected into list, formed and supply the pump installation
The guide vane mixed flow pump device scheme table (being shown in Table 10) of selection；
6. all pump installation scheme pump installation anti-cavitation safety coefficient k than choosing are participated in the present embodimentAnti-cavitationMaximum
[(kAnti-cavitation)i,j]max=2.01, pump shaft power PPump shaftMinimum value [(PPump shaft)i,j]min=2469kW, water pump vane diameter D are most
Small value [Di,j]min=3.255m；Calculate the individual event score of described three big factors respectively according to (19) formula, (20) formula and (21) formula
(being shown in Table 11)；According to (22) formula, the comprehensive score participated in than three big factors described in all pump installation schemes of choosing is calculated, and by comprehensive
The height for closing score participates in carrying out ranking than the pump installation scheme of choosing to all, is as a result listed in table 11；
8. according to table 11, the guide vane mixed flow pump device scheme using i=1, j=4 is best suited for the present embodiment to be optimal
The big flow pumping plant；The model TJ04-HLD-02 of the guide vane mixed flow pump model of the program, 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 highest lift operating point is
94.5r/min。
Claims (3)
1. a kind of method for avoiding big flow guide vane mixed flow pump device from producing vibration under low lift operating mode, it is characterized in that, bag
Include following steps：
(1) for single pump designs flow, rated lift and the highest lift of the big flow pumping plant pump installation for intending the application present invention,
It is domestic at present by it is strictly testing, in the guide vane mixed flow pump Model Series that hydraulic performance is good, choosing, which is listed, to be likely to be suited for
N number of guide vane mixed flow pump model of the pumping plant, and it is i=1 that they, which are sequentially numbered, 2,3 ..., N；
(2) impeller diameter D is scaled to according to N number of guide vane mixed flow pump model0=0.3m, rotating speed n0=1450r/min's is comprehensive
Performance curve is closed, is by the descending number consecutively of blade angle in each guide vane mixed flow pump model normal operation range
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, water pump of each blade angle of guide vane mixed flow pump model 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) are expressed：
1. between pump head H and flow Q second degree trinomial expression relation
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, first order and quadratic term in (1) formula
Coefficient；
The flow Q of the operating point is calculated according to the lift H of a certain running operating point of guide vane mixed flow pump with relational expression (1)；
2. pump efficiency ηWater pumpThe 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 the coefficient of first order, quadratic term and cubic term in (2) formula；
The water pump of the operating point is calculated according to the flow Q of a certain running operating point of guide vane mixed flow pump model with relational expression (2)
Efficiency etaWater pump；
3. between water pump Critical Cavitation Coefficient surplus NPSHc and flow Q cubic polynomial relation
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
With the coefficient of cubic term；
The water pump of the operating point is calculated according to the flow Q of a certain running operating point of guide vane mixed flow pump model with relational expression (3)
Critical Cavitation Coefficient surplus NPSHc；
(4) according to the combination property curve of 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, the work for completing following step one by one blade angle：
1. for j-th of blade angle of i-th of guide vane mixed flow pump model, according to the rated lift of the pumping plant pump installation
With single pump designs flow, to reduce nD values as far as possible as principle, suitable water pump vane diameter D is selectedi,j(unit is m) and water
Revolution speed ni,j(unit is r/min), makes the pump installation rated lift HPump installation rated liftOperating point is located at or is as closely as possible to
The peak efficiency area of i guide vane mixed flow pump model, j-th blade angle energy characteristics, while making the critical of the operating point
Cavitation surplus is obviously reduced therewith；
2. on the basis of the 1. step work, selected water pump vane diameter D is kepti,jIt is constant, carried by improving pump rotary speed
High i-th of guide vane mixed flow pump highest stabilizing work lift (Hmax) in j-th of blade anglei,j, so that the pump is filled
Put highest lift HPump installation highest liftOperating point enters water pump stable work area；According to proportional law of pump, the water needed for being calculated by formula (4)
Revolution speed：
In formula, kHFor safety coefficient, to ensure that highest lift operating point is located at stable work area, safety coefficient k is takenH=0.95；
(nHighest lift operating point)i,jFor the water pump of i-th of guide vane mixed flow pump pump installation highest lift operating point in j-th of blade angle
Rotating speed, r/min；
Requirement according to high power frequency conversion power supply efficient operation to tuning range, is needed to meet by the counted pump rotary speed of (4) formula
(nHighest lift operating point)i,j≤1.35ni,jCondition, the is carried out if this condition is met and 3. walks work, under otherwise returning to the 1. step being carried out
The calculating of one blade angle；
3. it is D by the impeller diameter according to the guide vane mixed flow pump law of similitude on the basis of the 2. step work0, rotating speed be n0
Guide vane mixed flow pump model combination property curve be scaled impeller diameter for Di,j, rotating speed be (nHighest lift operating point)i,jGuide-vane
Mixed-flow pump prototype combination property curve；According to the guide vane mixed flow pump prototype combination property curve, it is in pump rotary speed
(nHighest lift operating point)i,jUnder conditions of, calculate i-th of guide vane mixed flow pump pump installation in j-th of blade angle and most soar
The pump capacity ((Q of journey operating pointWater pump)Highest lift operating point)i,j, pump efficiency ((ηWater pump)Highest lift operating point)i,jWith water pump Critical Cavitation Coefficient surplus
((NPSHc)Highest lift operating point)i,j；
4. according to the experimental results to relation between the hydraulic performance of water pump in the hydraulic performance and pump installation of pump installation, press
Pump capacity ((Q of the formula (5) to the pump installation highest lift operating pointWater pump)Highest lift operating point)i,jIt is modified, obtains the pump
The pump installation flow of device highest lift operating point：
((QPump installation)Highest lift operating point)i,j=kQ((QWater pump)Highest lift operating point)i,j (5)
In formula, kQFor flow modificatory coefficient, kQ=0.89；((QPump installation)Highest lift operating point)i,jExist for i-th of guide vane mixed flow pump prototype
The pump installation flow of the pump installation highest lift operating point, m during j-th of blade angle3/s；
5. on the basis of the 4. step work, the water inlet of the pump installation highest lift operating point is calculated respectively using CFD approach
The runner loss of flood peak ((Δ hWater inlet flow channel)Highest lift operating point)i,jWith the outlet passage loss of flood peak ((Δ hOutlet passage)Highest lift operating point)i,j；According to pump
The definition of device runner efficiency, calculates runner the efficiency ((η during pump installation highest lift operating modeRunner)Highest 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 pump installation highest lift operating pointPump installation)Highest lift operating point)i,j；
7. according to pump assembly efficiency ηPump installationDefinition, calculate the pump shaft power of the pump installation highest lift operating point
((PPump shaft)Highest lift operating point)i,j；
8. according to the effective cavitation surplus conventionally calculation formula of pump installation, more than the effective cavitation of pump installation for calculating highest lift operating point
Measure ((NPSHa)Highest lift operating point)i,j；According to the definition of pump installation anti-cavitation safety coefficient, the described of highest lift operating point is calculated
Pump installation anti-cavitation safety coefficient (kAnti-cavitation)i,j：
9. the relevant calculating data of j-th of blade angle are included in the main calculating of affiliated i-th of guide vane mixed flow pump prototype
As a result table；
If 10. j ＜ M, make j=j+1 and return to the of (4) step and 1. walk, the calculating work the 1.~the 9. walked is carried out again
Make；If j=M, into (5) step；
(5) if i ＜ N, make i=i+1 and return to the of (4) step and 1. walk, the calculating work the 1.~the 10. walked is carried out again
Make；If i=N, into (6) step；
(6) result of calculation of N number of guide vane mixed flow pump prototype is collected into list, forms the guide-vane selected for the pump installation and mix
Flow pump installation scheme table；The main project that the 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 highest 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 influence pump installation scheme it is preferred three it is big it is main because
Element, according to they on pump installation influence importance, give respectively 0.55,0.25 and 0.20 weight；For ease of being led to described
Leaf formula mixed flow pump installation scheme carries out comprehensive and quantitative comparison, respectively to participate in the anti-skies of pump installation of all pump installation schemes than choosing
Change safety coefficient kAnti-cavitationMaximum, pump shaft power PPump shaftMinimum value and water pump vane diameter D minimum value on the basis of, meter
The individual event score of each factor is calculated, and the product of each individual event score and respective weight is summed, to calculate the comprehensive of pump installation scheme
Close score；
(8) height of the comprehensive score as obtained by calculating participates in carrying out ranking than the pump installation scheme of choosing to all, selects synthesis
The guide vane mixed flow pump device scheme of highest scoring is used for the pumping plant.
2. one kind according to claim 1 avoids big flow guide vane mixed flow pump device from producing 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 of guide vane mixed flow pump in j-th of blade angle pump installation anti-cavitation safety coefficient
Individual event score；[(kAnti-cavitation)i,j]maxFor the maximum for the pump installation anti-cavitation safety coefficient for participating in 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 shaftMinimum value on the basis of, press
(7) formula calculates PPump shaftIndividual event score：
In formula, (XPump shaft)i,jFor the individual event score of i-th of guide vane mixed flow pump pump shaft power in j-th of blade angle；
[(PPump shaft)i,j]minFor the minimum value for the pump shaft power for participating in all pump installation schemes than choosing；
Described in step (7) on the basis of the water pump vane diameter D minimum value for participating in all pump installation schemes than choosing, press
(8) formula calculates D individual event score：
In formula, (XImpeller diameter)i,jFor i-th of guide vane mixed flow pump, in j-th of blade angle, the individual event of water pump vane diameter is obtained
Point；[Di,j]minFor the minimum value for the water pump vane diameter for participating in all pump installation schemes than choosing；
To the pump installation anti-cavitation safety coefficient kAnti-cavitation, pump shaft power PPump shaft, each individual event score of the big factors of impeller diameter D tri-
Summed 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,jIt is i-th of guide vane mixed flow pump in j-th of blade angle described in pump installation highest lift operating point
The comprehensive score of three big factors.
3. avoid big flow guide vane mixed flow pump device from being produced under low lift operating mode as any one of claim 1-2
The method of vibration rated lift is relatively low, highest lift is higher and both larger big flow pumping plants of difference on application.
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