CN108710764A - A kind of double entry pump multi-objective optimization design of power method based on mixing approximate model - Google Patents
A kind of double entry pump multi-objective optimization design of power method based on mixing approximate model Download PDFInfo
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
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Abstract
The invention discloses a kind of double entry pump multi-objective optimization design of power methods based on mixing approximate model, mainly descend step：First：Using impeller main geometric parameters as input value, the efficiency of pump is desired value, establishes data sample；Second, artificial neural network approximate model is established, solving model coefficient is carried out using particle cluster algorithm；Third establishes second-order response surface approximate model, and solving model coefficient is carried out using particle cluster algorithm；4th, the mixing approximate model of artificial nerve network model and the superposition of second-order response surface model-weight is established, using PSO Algorithm weight coefficient；5th, optimizing is carried out to above-mentioned mixing approximate model under tri- operating modes of 0.8Q, 1.0Q, 1.2Q using multi-objective genetic algorithm, finds optimal design point.The present invention can establish more accurately mixing approximate model, meet the design requirement for widening double entry pump high efficient district, while can reduce design cost.
Description
Technical field
The present invention relates to a kind of double entry pump optimum design methods.
Background technology
Double suction centrifugal pump is widely used in many national economy fields such as agricultural drainage and irrigation, large pumping station, chemical industry.Double entry pump
Design is still at present to be susceptible to the partially narrow performance characteristic of high efficient district range based on half Theoretical Design of semiempirical, need to carry out into
One-step optimization.
The optimization of centrifugal pump is long-term one of the research hotspot in pump field.Patent No. 201010520561.6 proposes
A kind of centrifugal pump multi-state hydraulic optimization method based on CFD, by building response surface model and carrying out global optimization, to expand
Centrifugal pump high efficient district has and can refer to meaning.But the matching accuracy of data sample depends on single response surface in this method
Design requirement may be not achieved in approximate model.
The design of existing double suction centrifugal pump mainly relies on design experiences, and uses Numeric simulation design method.Mesh
The preceding method that double entry pump high efficient district range is improved using the method for mixing approximate model not yet.
Invention content
The purpose of the present invention is to provide a kind of double entry pump multi-objective optimization design of power methods based on mixing approximate model, lead to
Cross set Latin hypercube experimental design, numerical simulation, artificial nerve network model, second-order response surface model, particle group optimizing
Algorithm and multi-objective genetic algorithm are designed double suction centrifugal pump, to obtain one group optimal of centrifugal pump leaf of double entry pump
Geometric parameter combination is taken turns, double entry pump high efficient district is widened.
For achieving the above object, the technical solution adopted by the present invention is as follows：A kind of pair based on mixing approximate model
Sucking pump multi-objective optimization design of power method, includes the following steps：Step 1：According to design experiences choose on the double suction efficiency of pump influence compared with
Big parameter carries out numerical scheme design using Latin hypercube experimental design method to above-mentioned parameter；Step 2：Using
CFturbo softwares carry out impeller three-dimensional modeling based on the numerical scheme chosen in step 1, * .stp files are saved as, by * .stp
File imported into ICEM softwares and carries out unstrctured grid division, and grid is * .cfx5 files, and * .cfx5 are imported into CFX and are carried out
The steady numerical simulation of design conditions calculates and obtains the pump efficiency value under 0.8,1.0,1.2 operating modes respectively, obtains 60 groups of effects
Rate value；Step 3：Parameter to be affected to the double suction efficiency of pump is pumped as input value in 0.8,1.0,1.2 times of design conditions
Under efficiency be output valve, establish data sample, established using artificial nerve network model close between input value and output valve
Like model, all coefficients in the PSO Algorithm model are used in combination.Step 4：Using data sample in step 3, using two
Rank response surface model establishes the approximate model between input value and output valve, and the PSO Algorithm model coefficient is used in combination；Step
Rapid five：Artificial nerve network model in step 3 is weighted with second-order response surface model in step 4 and is superimposed, and uses grain
Subgroup optimization algorithm solves weights, respectively obtains the approximate mould of mixing under 0.8,1.0,1.2 times of operating mode between efficiency value and each parameter
Type；Step 6：Above-mentioned mixing approximate model is solved using multi-objective genetic algorithm, is obtained when efficiency is higher under three operating modes pair
The optimum combination for the parameter that the double suction efficiency of pump is affected.Step 7：To the optimal set for the parameter that the double suction efficiency of pump is affected
It closes and carries out three-dimensional modeling, and numerical simulation is carried out using identical CFX settings, can judgement reach design requirement, be set if reaching
Meter requires, then designs completion, if not reaching design requirement, return to step three reselects parameter.
In said program, the parameter being affected to the double suction efficiency of pump chosen in step 1 and step 6 is：Blade into
Mouth diameter di, hub diameter dh, blade exit diameter do, blade exit laying angle β2, subtended angle of blade φ, blade exit width b2；
20 groups of conceptual designs are carried out altogether to this six parameters in step 1.
In said program, in step 2, the three-dimensional modeling of impeller is carried out based on this selected 20 groups of conceptual designs.
In said program, in step 2, * .cfx5 are being imported into CFX to the steady numerical simulation meter for being designed operating mode
Calculate and obtain pump respectively efficiency value under 0.8,1.0,1.2 operating modes when, 60 groups of efficiency values are obtained.
In said program, in step 3, the formula for solving all coefficients in approximate model is：
Wherein,For weight coefficient,b2For threshold value, i is the design conditions multiple of pump.
In said program, in step 4, the formula of solving model coefficient is：
Wherein, w0、wj、w′j、wjkFor quadratic function coefficient；
In said program, in step 5, the formula for mixing approximate model is：
Ti(x)=w1iAi(x)+w2iBi(x)
Wherein w1i、w2iIt is function A respectivelyi(x), the weighting coefficient of Bi (x).
The beneficial effects of the invention are as follows：Accuracy height, adaptable mixing approximate model can be established, is effectively widened double
Sucking pump high efficient district range.
Description of the drawings
Fig. 1 is a kind of flow chart of the double entry pump multi-objective optimization design of power method based on mixing approximate model.
Fig. 2 is double-suction pump impeller schematic three dimensional views
Specific implementation mode
Below in conjunction with the accompanying drawings and specific embodiment the present invention is further illustrated, but protection scope of the present invention is simultaneously
It is without being limited thereto.
Fig. 1 is the invention thinking of the present invention, and the design method that the present invention widens double entry pump high efficient district range is mainly：The
One, the parameter being affected to the double suction efficiency of pump is chosen according to design experiences, and 60 groups of experimental designs are carried out using Latin hypercube；
Second, three-dimensional modeling is carried out to impeller using CFturbo softwares, mesh generation is carried out to model using ICEM softwares and is used
CFX carries out numerical simulation to scheme, calculates efficiency of the double entry pump under 0.8,1.0,1.2 times of operating mode；Third, it is mainly several with impeller
For what parameter as input value, the efficiency of pump is output valve, establishes data sample, artificial nerve network model is respectively adopted, second order is rung
Face approximate model and the mixing approximate model of its weighted superposition is answered to establish the mathematical model between input value and output valve, in conjunction with
PSO Algorithm model parameter.4th, mixing approximate model is carried out under three operating modes using multi-objective genetic algorithm
Optimizing.
Example：The design conditions Q=500m of double suction centrifugal pump3/ h, H=40m, rotating speed n=1480r/min；
In formula：N is rotating speed, unit r/min；Q is flow, unit m3/h；H is lift, unit m；Specific revolution 127.
With reference to《Modern times-pump theory and design》Design double entry pump, according to design experiences, first fixed blade inlet diameter di=
192mm, hub diameter dh=64mm, blade exit diameter do=365mm, blade exit laying angle β 2=30 °, subtended angle of blade φ
=150 °, the main geometric parameters that blade exit width b2=8mm is the influence efficiency of pump.20 groups of examinations are carried out using Latin hypercube
Test design.
| Test method | Vane inlet diameter di | Hub diameter dh | Impeller outlet diameter do | Blade exit laying angle β 2 | Subtended angle of blade φ | Blade exit width b2 |
| 1 | 194.8 | 69.8 | 383.9 | 28.0 | 148.2 | 8.2 |
| 2 | 179.4 | 63.7 | 392.2 | 29.1 | 148.8 | 7.8 |
| 3 | 173.2 | 60.4 | 384.7 | 32.4 | 158.4 | 8.1 |
| 4 | 206.1 | 58.4 | 372.8 | 28.6 | 162.5 | 8.6 |
| 5 | 209.1 | 66.5 | 331.8 | 32.2 | 141.1 | 8.5 |
| 6 | 201.3 | 62.7 | 343.1 | 29.4 | 137.4 | 7.9 |
| 7 | 208.5 | 62.9 | 359.6 | 27.1 | 150.6 | 8.1 |
| 8 | 189.2 | 64.4 | 379.4 | 29.1 | 156.0 | 7.3 |
| 9 | 178.5 | 65.3 | 348.6 | 27.8 | 164.5 | 8.6 |
| 10 | 187.8 | 61.1 | 336.6 | 32.9 | 144.5 | 7.7 |
| 11 | 197.4 | 65.1 | 395.3 | 30.2 | 155.5 | 7.2 |
| 12 | 192.6 | 58.6 | 344.7 | 30.6 | 160.7 | 7.6 |
| 13 | 204.7 | 60.2 | 401.3 | 28.5 | 146.6 | 7.6 |
| 14 | 198.1 | 61.7 | 376.6 | 31.7 | 139.1 | 7.1 |
| 15 | 191.0 | 67.7 | 353.2 | 27.5 | 151.6 | 7.3 |
| 16 | 182.1 | 66.1 | 366.0 | 31.1 | 135.8 | 8.9 |
| 17 | 183.1 | 67.1 | 388.2 | 29.8 | 160.2 | 8.3 |
| 18 | 203.3 | 68.7 | 355.5 | 32.0 | 141.0 | 8.8 |
| 19 | 185.2 | 69.3 | 338.5 | 30.5 | 143.7 | 7.4 |
| 20 | 174.9 | 59.3 | 368.7 | 31.5 | 154.0 | 9.0 |
* .stp files are saved as into every trade three-dimensional modeling to every 20 groups of impellers using CFturbo softwares, by * .stp files
It imported into ICEM softwares and carries out unstrctured grid division, grid is * .cfx5 files, and * .cfx5 are imported into CFX and are designed
The steady numerical simulation of operating mode calculates and obtains efficiency of the pump under 0.8,1.0,1.2 times of design conditions；It is obtained under standard condition
Efficiency it is as follows：
| Testing program | Efficiency (0.8Q) | Efficiency (1.0Q) | Efficiency (1.2Q) |
| 1 | 75.6 | 85.0 | 79.7 |
| 2 | 87.1 | 79.8 | 87.9 |
| 3 | 79.5 | 82.2 | 87.2 |
| 4 | 76.2 | 80.3 | 85.5 |
| 5 | 84.0 | 75.8 | 80.5 |
| 6 | 77.5 | 75.1 | 84.3 |
| 7 | 79.6 | 76.4 | 86.3 |
| 8 | 82.0 | 84.1 | 79.4 |
| 9 | 84.6 | 78.3 | 75.8 |
| 10 | 78.6 | 79.0 | 81.6 |
| 11 | 74.1 | 74.6 | 78.4 |
| 12 | 77.5 | 86.5 | 85.1 |
| 13 | 83.7 | 83.6 | 76.2 |
| 14 | 85.4 | 82.7 | 77.4 |
| 15 | 80.7 | 87.0 | 81.9 |
| 16 | 86.3 | 87.4 | 74.1 |
| 17 | 81.3 | 81.7 | 77.9 |
| 18 | 88.0 | 76.8 | 83.4 |
| 19 | 82.8 | 77.7 | 75.2 |
| 20 | 75.4 | 85.5 | 82.6 |
With impeller main geometric parameters vane inlet diameter di, hub diameter dh, blade exit diameter do, blade exit peace
Put angle beta2, subtended angle of blade φ, blade exit width b2As input value, the efficiency pumped under 0.8,1.0,1.2 times of design conditions is
Output valve establishes data sample, and the mixed of artificial nerve network model, second-order response surface model and its weighted superposition is respectively adopted
It closes approximate model and establishes the approximate model between efficiency and main geometric parameters；
Wherein,For weight coefficient,b2For threshold value, i is the design conditions multiple of pump.
Wherein, w0、wj、w′j、wjkFor quadratic function coefficient；
Ti(x)=w1i Ai(x)+w2i Bi(x)
Wherein w1i、w2iIt is function A respectivelyi(x), the weighting coefficient of Bi (x).
Using the above-mentioned all equation coefficients of particle swarm optimization algorithm；Using multi-objective genetic algorithm to the approximate mould of mixing
Type optimizing under three operating modes；Finally obtain impeller parameters optimum combination：Vane inlet diameter di=191mm, hub diameter dh=
67.7mm, blade exit diameter do=353.2mm, blade exit laying angle β2=27.5 °, subtended angle of blade φ=151.6 °, blade
Exit width b2=7.3mm；Efficiency after impeller optimization under tri- operating modes of 0.8Q, 1.0Q, 1.2Q is all 80% or more.
Claims (7)
1. a kind of double entry pump multi-objective optimization design of power method based on mixing approximate model, which is characterized in that include the following steps：
Step 1：The parameter being affected to the double suction efficiency of pump is chosen according to design experiences, using Latin hypercube experimental design
Method carries out numerical scheme design to above-mentioned parameter；
Step 2：Impeller three-dimensional modeling is carried out based on the numerical scheme chosen in step 1 using CFturbo softwares, saves as *
* .stp files are imported into ICEM softwares and carry out unstrctured grid division by .stp file, and grid is * .cfx5 files, by *
.cfx5 it imported into CFX and is designed the steady numerical simulation of operating mode and calculates and obtain pump respectively under 0.8,1.0,1.2 operating modes
Efficiency value, obtain 60 groups of efficiency values；
Step 3：Parameter to be affected to the double suction efficiency of pump is pumped as input value under 0.8,1.0,1.2 times of design conditions
Efficiency be output valve, establish data sample, established using artificial nerve network model approximate between input value and output valve
All coefficients in the PSO Algorithm model are used in combination in model.
Step 4：Using data sample in step 3, using close between second-order response surface model foundation input value and output valve
Like model, the PSO Algorithm model coefficient is used in combination；
Step 5：Artificial nerve network model in step 3 is weighted with second-order response surface model in step 4 and is superimposed, and
Using particle swarm optimization algorithm weights, the mixing between efficiency value and each parameter under 0.8,1.0,1.2 times of operating mode is respectively obtained
Approximate model；
Step 6：Above-mentioned mixing approximate model is solved using multi-objective genetic algorithm, when showing that efficiency is higher under three operating modes
To the optimum combination for the parameter that the double suction efficiency of pump is affected.
Step 7：To the optimum combination progress three-dimensional modeling for the parameter that the double suction efficiency of pump is affected, and set using identical CFX
Carry out numerical simulation is set, can judgement reach design requirement, if reaching design requirement, design completion, be wanted if not reaching design
It asks, then return to step three, reselects parameter.
2. a kind of double entry pump multi-objective optimization design of power method based on mixing approximate model according to claim 1, special
Sign is that the parameter being affected to the double suction efficiency of pump chosen in step 1 and step 6 is：Vane inlet diameter di, wheel hub
Diameter dh, blade exit diameter do, blade exit laying angle β2, subtended angle of blade φ, blade exit width b2；To this in step 1
Six parameters carry out 20 groups of conceptual designs altogether.
3. a kind of double entry pump multi-objective optimization design of power method based on mixing approximate model according to claim 2, special
Sign is, in step 2, the three-dimensional modeling of impeller is carried out based on this 20 groups of conceptual designs.
4. a kind of double entry pump multi-objective optimization design of power method based on mixing approximate model according to claim 3, special
Sign is, in step 2, divides * .cfx5 to be imported into CFX to the steady numerical simulation for being designed operating mode and calculates and obtains pump
When efficiency value not under 0.8,1.0,1.2 operating modes, 60 groups of efficiency values are obtained.
5. a kind of double entry pump multi-objective optimization design of power method based on mixing approximate model according to claim 4, special
Sign is, in step 3, the formula for solving all coefficients in approximate model is：
Wherein,For weight coefficient,b2For threshold value, i is the design conditions multiple of pump.
6. a kind of double entry pump multi-objective optimization design of power method based on mixing approximate model according to claim 5, special
Sign is, in step 4, the formula of solving model coefficient is：
Wherein, w0、wj、w′j、wjkFor quadratic function coefficient.
7. a kind of double entry pump multi-objective optimization design of power method based on mixing approximate model according to claim 6, special
Sign is, in step 5, the formula for mixing approximate model is：
Ti(x)=w1iAi(x)+w2iBi(x)
Wherein w1i、w2iIt is function A respectivelyi(x), the weighting coefficient of Bi (x).
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| CN114297793A (en) * | 2021-12-24 | 2022-04-08 | 山东双轮股份有限公司 | Multi-disciplinary optimization design method for impeller structure of seawater desalination pump |
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