CN101956711A - Computational fluid dynamics (CFD)-based centrifugal pump multi-working condition hydraulic power optimization method - Google Patents

Computational fluid dynamics (CFD)-based centrifugal pump multi-working condition hydraulic power optimization method Download PDF

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CN101956711A
CN101956711A CN 201010520561 CN201010520561A CN101956711A CN 101956711 A CN101956711 A CN 101956711A CN 201010520561 CN201010520561 CN 201010520561 CN 201010520561 A CN201010520561 A CN 201010520561A CN 101956711 A CN101956711 A CN 101956711A
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centrifugal pump
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CN101956711B (en
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刘厚林
王凯
袁寿其
谈明高
王勇
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Jiangsu University
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Abstract

The invention discloses a computational fluid dynamics (CFD)-based centrifugal pump multi-working condition hydraulic power optimization method. The method comprises the following steps of: 1, establishing an initial specimen bank for centrifugal pump multi-working condition hydraulic power optimization on the basis of external characteristic tests; 2, establishing a CFD-based centrifugal pump multi-working condition hydraulic power optimization model; 3, generating a specimen bank for the centrifugal pump multi-working condition hydraulic power optimization and constructing a response surface approximate model by CFD technology on the basis of single point hydraulic design and uniform design methods; 4, globally optimizing the approximate model by a global optimization algorithm; and 5, performing hydraulic power design on a centrifugal pump by a parametric computer aided design (PCAD) according to optimization results so as to obtain a multi-working condition hydraulic power model of the centrifugal pump. The method can perform the multi-working condition hydraulic power optimization on the centrifugal pump according to the performance requirements under multiple working conditions so as to improve the weighted average efficiency and enlarge the high efficiency area range, and can provide references for unstable flowing under the working conditions of actively controlling low flow and cavitation under the working conditions of inhibiting high flow.

Description

A kind of centrifugal pump multi-operating mode waterpower optimization method based on CFD
Technical field
The invention belongs to centrifugal pump waterpower and optimize the field, be specifically related to a kind of centrifugal pump multi-operating mode Hydraulic Design Method based on CFD, be mainly used in waterpower optimization and the reducing energy consumption of instructing centrifugal pump, efficiently distinguish scope with the weighted average efficiency and the expansion centrifugal pump thereof that improve centrifugal pump.
Background technique
At present, traditional centrifugal pump design method is single operating mode (design conditions) design method, can't take into account the performance between a plurality of operating modes of centrifugal pump, and the performance under its a plurality of operating modes mainly realizes by " design-calculating (or test)-revise " repeatedly.Do not make full use of the CFD technology and carry out the assistant analysis and the optimization of centrifugal pump in designing and developing process, experience is still occupied an leading position, and CFD only is the result who is used for checking design, rather than is used for driving product specification.Therefore, this method not only design efficiency is low, and efficiently distinguishes narrow range, and main cause is that its main geometric parameters is not an optimal solution.
If " design-calculating (or test)-revise " process that can centrifugal pump is traditional is explored optimal case automatically by an integrated platform, then centrifugal pump will be broken through the bottleneck of traditional design, realizes centrifugal pump multi-operating mode waterpower optimal design.Along with the fast development of computer technology and optimized Algorithm, above-mentioned hypothesis comes true.ISIGHT optimal design platform can be realized various CFD softwares and self programming integrated, and advanced Optimization Design is provided, and has realized the automation and the visualization of data of design process.Therefore, utilize integrated CFD software of iSIGHT platform and self-compiling program, realize centrifugal pump multi-operating mode waterpower optimal design, finally reach the automation of centrifugal pump " design-calculating-modification " process, have important practical significance.
By retrieval, do not see about based on the document of the centrifugal pump multi-operating mode waterpower optimization method of CFD with declare patent only have some scholars to do under the centrifugal pump off-design behaviour research work such as CFD numerical simulation so far as yet.
Summary of the invention
The purpose of this invention is to provide a kind of centrifugal pump multi-operating mode waterpower optimization method based on CFD, separate centrifugal pump multi-operating mode waterpower optimization problem by the experiment of employing external characteristics, CFD technology and global optimization approach, thereby solve the optimal solution set of one group of crucial geometric parameter.
For reaching above purpose, adopt following technological scheme:
Adopt the external characteristics experiment to set up initial sample storehouse, and adopt uniform Design method and CFD technique complementary sample storehouse, thereby build the response surface approximate model; And on this basis, adopt the integrated Pro/E of iSIGHT software, Gambit, Fluent and self-editing centrifugal pump multi-operating mode performance calculation program pmcc.exe, select for use the adaptive modeling annealing algorithm self-adapted genetic algorithm of the progressive drift of initial population (or based on) to find the solution centrifugal pump multi-operating mode waterpower optimization problem.
Its Hydraulic Design Method step is as follows:
(1) the initial sample storehouse that centrifugal pump multi-operating mode waterpower is optimized is set up in experiment based on external characteristics;
Build centrifugal pump external characteristics test stand; Centrifugal pump lift HGauge measurement by the centrifugal pump inlet/outlet obtains; Adopt electrical measuring method to measure the power of centrifugal pump PThe centrifugal pump flow QRead by the electromagnetic flowmeter in the centrifugal pump export pipeline system; The efficient of centrifugal pump ηBy formula η= ρg QH/ P
By the pressure difference between the centrifugal pump inlet/outlet under the different specific speeds that measure, the different operating mode, set up crucial geometric parameter ( D 2, β 2, b 2, z, D 1, β 1, b 1, D j, φ, F t, D 3, φ 0, b 3, D s, D d) with different operating modes under centrifugal pump lift H i Between relation; By centrifugal pump power under the different specific speeds that measure, the different operating mode P i, set up crucial geometric parameter and power P iBetween relation; By measuring the flow of export pipeline Q i, set up centrifugal pump efficient under crucial geometric parameter and the different operating modes η iBetween relation;
Based on above-mentioned external characteristics experiment, set up the initial sample storehouse that centrifugal pump multi-operating mode waterpower is optimized.
(2) foundation is based on the centrifugal pump multi-operating mode waterpower Optimization Model of CFD;
Ask design variable x =[ D 2, β 2, b 2, z, D 1, β 1, b 1, D j, φ, F t, D 3, φ 0, b 3, D s, D d] T, make
Figure 114984DEST_PATH_IMAGE001
And satisfy constraint conditio
Figure 382018DEST_PATH_IMAGE002
Figure 580918DEST_PATH_IMAGE003
In the formula: iBe each operating point, i〉=3; Δ zPoor for pump inlet/outlet gross head; MBe the impeller moment of torsion; wAngular velocity for impeller; D 2Be the impeller outlet diameter; β 2Be the blade exit laying angle; b 2Be impeller outlet width; zBe the number of blade; D 1Be the blade inlet diameter; β 1Be blade import laying angle; b 1Be the blade entrance width; D jBe the impeller inlet diameter; φBe subtended angle of blade; F tBe the volute throat area; D 3Be the spiral case base circle diameter (BCD); φ 0Be spiral case cut water angle; b 3Be the spiral case inlet width; D sBe the pump inlet diameter; D dBe the pump discharge diameter.
(3), adopt the CFD technology to generate the sample storehouse that centrifugal pump multi-operating mode waterpower is optimized, and make up the response surface approximate model based on design of single-point waterpower and uniform design;
Based on the single-point design method centrifugal pump is carried out initial designs; Select the uniform Design method as experimental design method, to reduce the CFD test number (TN); Select crucial geometric parameter D 2, β 2, b 2, z, D 1, β 1, b 1, D j, φ, F t, D 3, φ 0, b 3, D s, D dAs design parameter, 50 groups of centrifugal pump CFD testing programs have been determined according to the uniform Design method;
According to above-mentioned 50 groups of CFD experimental programs, adopt Pro/E that it is carried out three-dimensional modeling respectively, and export the input file of the relational expression input.txt of crucial geometric parameter as next step optimization; Adopting Gambit that it is carried out grid respectively divides; Adopt the Fluent numerical calculation respectively, obtain the performance of its sample point, and be saved in the sample storehouse; Make up the geometric parameter of sample point and the approximate model between the performance of centrifugal pump.
(4) adopt global optimization approach pairing approximation model to carry out the global optimization of multi-operating mode multiple target;
Adopt Visual C++ 2005 that it is written as centrifugal pump multi-operating mode performance calculation program pmcc.exe, the lift that this program obtains according to centrifugal pump CFD numerical calculation under the different operating modes HAnd moment of torsion N, calculate its power PAnd efficient η,And with lift H, power PAnd efficient ηBe saved among the output.txt;
Adopt the integrated Pro/E of iSIGHT, Gambit, Fluent and self-editing centrifugal pump multi-operating mode performance calculation program, and be that lift and power under design variable, a plurality of operating mode is that efficient is objective function to the maximum under constraint conditio, a plurality of operating mode with the crucial geometric parameter values that centrifugal pump single-point design obtains, use self-adapted genetic algorithm simultaneously or based on the self-adapted genetic algorithm of the progressive drift of initial population, the pairing approximation model carries out the multiple target global optimization;
If do not satisfy convergence criterion, then the performance number that CFD is calculated is saved in the sample storehouse, rebuilds approximate model, and changes the design variable value and carry out global optimization, till satisfying convergence criterion; After the convergence, the optimal solution of crucial geometric parameter and the performance number of centrifugal pump are kept at respectively among input.txt and the output.txt.
(5), adopt pump waterpower design software PCAD2010 that centrifugal pump is carried out the waterpower design, thereby obtain centrifugal pump multi-operating mode waterpower Optimization Model according to optimizing the result.
The invention has the advantages that:
Figure 46534DEST_PATH_IMAGE004
Can be according to lift and the power requirements under a plurality of operating modes of centrifugal pump, with and be objective function to the maximum with the efficient of each operating point, it is carried out multi-operating mode waterpower optimal design;
Figure 305477DEST_PATH_IMAGE005
Can also be according to the lift requirement under a plurality of operating points, and be objective function to the maximum with power minimum, the efficient of each operating point, centrifugal pump is carried out reducing energy consumption;
Figure 59807DEST_PATH_IMAGE006
Can also flow and suppress under the big flow operating mode cavitation offers reference for the ACTIVE CONTROL low flow rate condition is down unstable.
Description of drawings
Fig. 1 is the flow chart of centrifugal pump multi-operating mode waterpower Optimization Design.
Fig. 2 is the optimization system figure of the embodiment of the invention.
Embodiment
The present invention is described in further detail below in conjunction with drawings and Examples.
Present embodiment comprises the steps: based on the flow process of the centrifugal pump multi-operating mode waterpower optimization method of CFD as shown in Figure 1
(1) the initial sample storehouse that centrifugal pump multi-operating mode waterpower is optimized is set up in experiment based on external characteristics.
Build centrifugal pump external characteristics test stand; Centrifugal pump lift HGauge measurement by the centrifugal pump inlet/outlet obtains; Adopt electrical measuring method to measure the power of centrifugal pump PThe centrifugal pump flow QRead by the electromagnetic flowmeter in the centrifugal pump export pipeline system; The efficient of centrifugal pump ηBy formula η= ρg QH/ P
By the pressure difference between the centrifugal pump inlet/outlet under the different specific speeds that measure, the different operating mode, set up crucial geometric parameter ( D 2, β 2, b 2, z, D 1, β 1, b 1, D j, φ, F t, D 3, φ 0, b 3, D s, D d) with different operating modes under centrifugal pump lift H i Between relation; By centrifugal pump power under the different specific speeds that measure, the different operating mode P i, set up crucial geometric parameter and power P iBetween relation; By measuring the flow of export pipeline Q i, set up centrifugal pump efficient under crucial geometric parameter and the different operating modes η iBetween relation.
Based on above-mentioned external characteristics experiment, set up the initial sample storehouse that centrifugal pump multi-operating mode waterpower is optimized.
(2) foundation is based on the centrifugal pump multi-operating mode waterpower Optimization Model of CFD.
Ask design variable x =[ D 2, β 2, b 2, z, D 1, β 1, b 1, D j, φ, F t, D 3, φ 0, b 3, D s, D d] T, make
Figure 796818DEST_PATH_IMAGE001
And satisfy constraint conditio
Figure 382521DEST_PATH_IMAGE002
Figure 812365DEST_PATH_IMAGE003
In the formula: iBe each operating point, i〉=3; Δ zPoor for pump inlet/outlet gross head; MBe the impeller moment of torsion; wAngular velocity for impeller; D 2Be the impeller outlet diameter; β 2Be the blade exit laying angle; b 2Be impeller outlet width; zBe the number of blade; D 1Be the blade inlet diameter; β 1Be blade import laying angle; b 1Be the blade entrance width; D jBe the impeller inlet diameter; φBe subtended angle of blade; F tBe the volute throat area; D 3Be the spiral case base circle diameter (BCD); φ 0Be spiral case cut water angle; b 3Be the spiral case inlet width; D sBe the pump inlet diameter; D dBe the pump discharge diameter.
(3), adopt the CFD technology to generate the sample storehouse that centrifugal pump multi-operating mode waterpower is optimized, and make up the response surface approximate model based on design of single-point waterpower and uniform design.
Based on the single-point design method centrifugal pump is carried out initial designs; Select the uniform Design method as experimental design method, to reduce the CFD test number (TN); Select crucial geometric parameter D 2, β 2, b 2, z, D 1, β 1, b 1, D j, φ, F t, D 3, φ 0, b 3, D s, D dAs design parameter, 50 groups of centrifugal pump CFD testing programs have been determined according to the uniform Design method.
According to above-mentioned 50 groups of CFD experimental programs, adopt Pro/E that it is carried out three-dimensional modeling respectively, and export the input file of the relational expression input.txt of crucial geometric parameter as next step optimization; Adopting Gambit that it is carried out grid respectively divides; Adopt the Fluent numerical calculation respectively, obtain the performance of its sample point, and be saved in the sample storehouse; Make up the geometric parameter of sample point and the approximate model between the performance of centrifugal pump.
(4) adopt Visual C++ 2005 that it is written as centrifugal pump multi-operating mode performance calculation program pmcc.exe.
The lift that this program can obtain according to centrifugal pump CFD numerical calculation under the different operating modes HAnd moment of torsion N, calculate its power PAnd efficient η,And with lift H, power PAnd efficient ηBe saved among the output.txt.
(5) adopt global optimization approach pairing approximation model to carry out the global optimization of multi-operating mode multiple target, as shown in Figure 2.
Adopt the integrated Pro/E of iSIGHT, Gambit, Fluent and self-editing centrifugal pump multi-operating mode performance calculation program, and be that lift and power under design variable, a plurality of operating mode is that efficient is objective function to the maximum under constraint conditio, a plurality of operating mode with the crucial geometric parameter values that centrifugal pump single-point design obtains, use self-adapted genetic algorithm simultaneously or based on the self-adapted genetic algorithm of the progressive drift of initial population, the pairing approximation model carries out the multiple target global optimization;
Figure 788411DEST_PATH_IMAGE004
Design variable is write among the template file input.txt of parameterized model representation of Pro/E, the batch file by Pro/E calls the generation that trail.txt finishes geometric model, and output pump.stp file;
The batch file of Pro/E:
del?trail.txt.*
"C:\proeWildfire2\bin\proe.exe"?pro_wait?-g:no_graphics?input.txt
According to the pump.stp file of Pro/E output, the batch file by Gambit reads in command stream file mesh.jou and carries out grid dividing automatically, is output as grid file pump.msh simultaneously;
The batch file of Gambit:
C:\Gambit\ntbin\ntx86\gambit.exe?-inp?mesh.jou
Figure 34902DEST_PATH_IMAGE006
Finish the loading that the command stream file solve.jou that reads under each operating mode is provided with computation model and boundary conditions etc. automatically by the Fluent batch file, and inlet/outlet stagnation pressure under each operating mode and impeller moment of torsion are exported in the pump-i.txt file;
The Fluent batch file:
"C:\Fluent\ntbin\ntx86\fluent.exe"?3d?-i?solve.jou
The lift that obtains according to centrifugal pump CFD numerical calculation under the different operating modes HAnd moment of torsion N, adopt self-editing centrifugal pump multi-operating mode performance calculation program pmcc.exe, calculate the power of centrifugal pump PAnd efficient η,And with lift H, power PAnd efficient ηBe saved among the output.txt;
Figure 161307DEST_PATH_IMAGE008
According to the adaptive modeling annealing algorithm or based on the self-adapted genetic algorithm of the progressive drift of initial population, and as objective function it is carried out the multiple target global optimization as the efficiency value maximum under constraint conditio, a plurality of operating mode as lift under initial value, a plurality of operating mode and power requirements with the parameter value of single-point design, thereby iteration goes out the optimal solution of crucial geometric parameter;
Figure 240121DEST_PATH_IMAGE009
After the convergence, the optimal solution of crucial geometric parameter and the performance number of centrifugal pump are kept at respectively among input.txt and the output.txt.
(6) according to optimizing the result, adopt pump waterpower design software PCAD2010 centrifugal pump is carried out the waterpower design, thereby obtain centrifugal pump multi-operating mode waterpower Optimization Model with independent intellectual property right.

Claims (2)

1. centrifugal pump multi-operating mode waterpower optimization method based on CFD, it is characterized in that, according to lift and the performance number under given a plurality of operating points, approximate model based on the sample storehouse structure that external characteristics is tested and the CFD numerical calculation obtains, adopt suitable global optimization approach that centrifugal pump multi-operating mode waterpower optimization problem is found the solution, thereby calculate the optimum value of the crucial geometric parameter of centrifugal pump, wherein, operating point i〉=3; Concrete steps are as follows:
(A) the initial sample storehouse that centrifugal pump multi-operating mode waterpower is optimized is set up in experiment based on external characteristics;
Build centrifugal pump external characteristics test stand; Centrifugal pump lift HGauge measurement by the centrifugal pump inlet/outlet obtains; Adopt electrical measuring method to measure the power of centrifugal pump PThe centrifugal pump flow QRead by the electromagnetic flowmeter in the centrifugal pump export pipeline system; The efficient of centrifugal pump ηBy formula η= ρg QH/ P
By the pressure difference between the centrifugal pump inlet/outlet under the different specific speeds that measure, the different operating mode, set up crucial geometric parameter ( D 2, β 2, b 2, z, D 1, β 1, b 1, D j, φ, F t, D 3, φ 0, b 3, D s, D d) with different operating modes under centrifugal pump lift H i Between relation; By centrifugal pump power under the different specific speeds that measure, the different operating mode P i, set up crucial geometric parameter and power P iBetween relation; By measuring the flow of export pipeline Q i, set up centrifugal pump efficient under crucial geometric parameter and the different operating modes η iBetween relation;
Based on above-mentioned external characteristics experiment, set up the initial sample storehouse that centrifugal pump multi-operating mode waterpower is optimized;
(B) foundation is based on the centrifugal pump multi-operating mode waterpower Optimization Model of CFD;
Ask design variable x =[ D 2, β 2, b 2, z, D 1, β 1, b 1, D j, φ, F t, D 3, φ 0, b 3, D s, D d] T, make
Figure 2010105205616100001DEST_PATH_IMAGE001
And satisfy constraint conditio
Figure 413758DEST_PATH_IMAGE002
In the formula: iBe each operating point, i〉=3; Δ zPoor for pump inlet/outlet gross head; MBe the impeller moment of torsion; wAngular velocity for impeller; D 2Be the impeller outlet diameter; β 2Be the blade exit laying angle; b 2Be impeller outlet width; zBe the number of blade; D 1Be the blade inlet diameter; β 1Be blade import laying angle; b 1Be the blade entrance width; D jBe the impeller inlet diameter; φBe subtended angle of blade; F tBe the volute throat area; D 3Be the spiral case base circle diameter (BCD); φ 0Be spiral case cut water angle; b 3Be the spiral case inlet width; D sBe the pump inlet diameter; D dBe the pump discharge diameter;
(C), adopt the CFD technology to generate the sample storehouse that centrifugal pump multi-operating mode waterpower is optimized, and make up the response surface approximate model based on design of single-point waterpower and uniform design;
Based on the single-point design method centrifugal pump is carried out initial designs; Select the uniform Design method as experimental design method, to reduce the CFD test number (TN); Select crucial geometric parameter D 2, β 2, b 2, z, D 1, β 1, b 1, D j, φ, F t, D 3, φ 0, b 3, D s, D dAs design parameter, 50 groups of centrifugal pump CFD testing programs have been determined according to the uniform Design method;
According to above-mentioned 50 groups of CFD experimental programs, adopt Pro/E that it is carried out three-dimensional modeling respectively, and export the input file of the relational expression input.txt of crucial geometric parameter as next step optimization; Adopting Gambit that it is carried out grid respectively divides; Adopt the Fluent numerical calculation respectively, obtain the performance of its sample point, and be saved in the sample storehouse; Make up the geometric parameter of sample point and the approximate model between the performance of centrifugal pump;
(D) adopt global optimization approach pairing approximation model to carry out the global optimization of multi-operating mode multiple target;
Adopt Visual C++ 2005 that it is written as centrifugal pump multi-operating mode performance calculation program pmcc.exe, the lift that this program obtains according to centrifugal pump CFD numerical calculation under the different operating modes HAnd moment of torsion N, calculate its power PAnd efficient η,And with lift H, power PAnd efficient ηBe saved among the output.txt;
Adopt the integrated Pro/E of iSIGHT, Gambit, Fluent and self-editing centrifugal pump multi-operating mode performance calculation program, and be that lift and power under design variable, a plurality of operating mode is that efficient is objective function to the maximum under constraint conditio, a plurality of operating mode with the crucial geometric parameter values that centrifugal pump single-point design obtains, use self-adapted genetic algorithm simultaneously or based on the self-adapted genetic algorithm of the progressive drift of initial population, the pairing approximation model carries out the multiple target global optimization;
If do not satisfy convergence criterion, then the performance number that CFD is calculated is saved in the sample storehouse, comes back to step (C) and makes up approximate model, and change the design variable value and carry out global optimization, till satisfying convergence criterion; After the convergence, the optimal solution of crucial geometric parameter and the performance number of centrifugal pump are kept at respectively among input.txt and the output.txt;
(E), adopt pump waterpower design software that centrifugal pump is carried out the waterpower design, thereby obtain centrifugal pump multi-operating mode waterpower Optimization Model according to optimizing the result.
2. a kind of centrifugal pump multi-operating mode waterpower optimization method according to claim 1 based on CFD, it is characterized in that: described step (B), centrifugal pump multi-operating mode waterpower Optimization Model is on the basis of centrifugal pump single-point design, uses the CFD technology that centrifugal pump is carried out the centrifugal pump multi-operating mode waterpower Optimization Model that multi-operating mode whole flow field numerical calculation obtains.
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