CN108561195A - A kind of effective control method of cryogenic liquid expanding machine inward turning vortex cavitation flowing - Google Patents

A kind of effective control method of cryogenic liquid expanding machine inward turning vortex cavitation flowing Download PDF

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CN108561195A
CN108561195A CN201810008748.4A CN201810008748A CN108561195A CN 108561195 A CN108561195 A CN 108561195A CN 201810008748 A CN201810008748 A CN 201810008748A CN 108561195 A CN108561195 A CN 108561195A
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cryogenic liquid
expanding machine
vortex
liquid expanding
cavitation
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CN108561195B (en
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宋鹏
孙金菊
霍长江
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Xian Jiaotong University
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F01MACHINES OR ENGINES IN GENERAL; ENGINE PLANTS IN GENERAL; STEAM ENGINES
    • F01DNON-POSITIVE DISPLACEMENT MACHINES OR ENGINES, e.g. STEAM TURBINES
    • F01D21/00Shutting-down of machines or engines, e.g. in emergency; Regulating, controlling, or safety means not otherwise provided for

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Abstract

The invention discloses a kind of effective control methods of cryogenic liquid expanding machine inward turning vortex cavitation flowing, cryogenic liquid expanding machine vortex cavitation mechanism research including considering cryogen thermomechanical effect, the impeller geometric parameter sensitivity analysis of cryogenic liquid expanding machine inward turning vortex cavitation flowing, the characterization statement of complicated vortex cavitating flows in cryogenic liquid expanding machine, it builds flow fieldoptimization object function and flow fieldoptimization for the purpose of controlling vortex cavitating flows and controls variable, and the Parallel implementation of vortex cavitating flows Optimal Control Problem, this method can effectively improve the performance and operational reliability of cryogenic liquid expanding machine.

Description

A kind of effective control method of cryogenic liquid expanding machine inward turning vortex cavitation flowing
Technical field
The invention belongs to the fields such as cryogenic air separation and low-temperature liquefaction, are related to a kind of cryogenic liquid expanding machine inward turning vortex cavitation stream Dynamic effective control method.
Background technology
Cryogenic liquid expanding machine is similar with conventional hydraulic (or fluid power) machinery as a kind of hydraulic machine, inevitably Cavitation phenomenon occurs.Crumbling and fall for cavitation bubble will generate high local pressure, and great impact is caused to body structure surface material, production Raw cavitation corrosion destroys;Unit vibration can be also induced, the stable operation of liquid expander or even cryogenic system is threatened.Therefore, right The effectively inhibition of cryogenic liquid expanding machine vortex cavitating flows is significant.
Cavitation phenomenon refers to that liquid local pressure is less than saturated vapour pressure under relevant temperature, leads to liquid gasification and causes micro- Explosive the phenomenon that increasing and crumbling and fall of bubble.Cavitation phenomenon is widely present in the hydraulics such as water pump, the hydraulic turbine and low temperature The fields such as space division and low-temperature liquefaction.By the difference of its happening part, usually exist leaf cavitation, clearance cavitation, cavity cavitation and Four kinds of forms of local cavitation.Usual cavity cavitation refers to being present in conventional hydraulic mechanical (such as turbine draft tube) by bumpy flow The dynamic cavitation brought, intensity is high, it is big to take up space, and shows " pigtail beam " shape more, directly affects hydraulic machine performance and machine Group reliability, and inducement-bumpy flow of this cavitation is substantially derived from the high speed rotation of impeller.It is mechanical as a kind of hydraulic turbine, The high-speed rotating impeller of cryogenic liquid expanding machine will also result in the bumpy flow of high intensity and extend to diffuser pipe downstream, and then lure Cavitation in foliation wheel exit and diffuser pipe.
For suppression cavitation, some optimum design methods are proposed for the Impeller Design of conventional hydraulic machine.Patent 201110202524.5 " a kind of anti-cavitation corrosion centrifugal pump impeller optimum design methods " using NSGA-II genetic algorithms as optimization tool, Multi-objective optimization design of power is carried out to centrifugal pump impeller parameter, improves the efficiency and anti-cavitation performance of impeller.Patent 201510679202.8 " a kind of high anti-cavitation centrifugal impeller Hydraulic Design Methods " provide a kind of high anti-cavitation centrifugal impeller water Hydraulic design method, using the side for improving vane inlet laying angle, vane thickness distribution, impeller inlet diameter and vane inlet width Method improves centrifugal pump anti-cavitation performance.Patent 201510908837.0 " a kind of anti-cavitation axial-flow pump impeller design " discloses A kind of anti-cavitation axial-flow pump impeller design method so that while the axial-flow pump impeller reliably working designed, have anti-cavitation Ability.
It is more multiple in the vortex cavitation of low temperature hydraulic machine (such as cryogenic liquid expanding machine) compared with conventional hydraulic machine It is miscellaneous.For room temperature hydraulic, the fuel factor of medium can almost be ignored, i.e., influence very little of the temperature to cavitation and ignore Disregard.But the notable thermomechanical effect of cryogenic media so that low temperature cavitation is very sensitive to temperature change, and cryogenic media Latent heat of phase change is big, and suchlike influence factor be can not ignore.Substantially, the high speed rotation of cryogenic liquid expanding machine impeller is made At its exit high intensity bumpy flow, local depression and Wen Sheng are resulted in, cavitation is directly induced.But this vortex Cavitation flows with Cryogenic temperature field is highly coupled, and significantly increases its control difficulty.Domestic and international range is seen at present, does not find the public affairs of this respect Open data.
Invention content
It is an object of the invention to overcome the above-mentioned prior art, vortex in a kind of cryogenic liquid expanding machine is provided Effective control method of cavitating flows, this method can effectively improve the performance and operational reliability of cryogenic liquid expanding machine.
In order to achieve the above objectives, effective control method of cryogenic liquid expanding machine inward turning vortex cavitation flowing of the present invention The research of cryogenic liquid expanding machine vortex cavitation mechanism, cryogenic liquid expanding machine inward turning including considering cryogen thermomechanical effect The impeller geometric parameter sensitivity analysis of vortex cavitation flowing, in cryogenic liquid expanding machine complicated vortex cavitating flows characterization table It states, build flow fieldoptimization object function for the purpose of controlling vortex cavitating flows and flow fieldoptimization control variable and vortex The Parallel implementation of cavitating flows Optimal Control Problem.
Consider that the detailed process of the cryogenic liquid expanding machine vortex cavitation mechanism research of cryogen thermomechanical effect is:It adopts The flowing of cryogenic liquid expanding machine interior cavitation is studied with Rayleigh-Plesset cavitation models, by Rayleigh- Plesset cavitation models are combined with liquid expander complete machine numerical model, to simulate liquid expander whirlpool cavitating flows.
The Rayleigh-Plesset cavitation models include that cavitation is considered as to the volume fraction control of two-phase three-component system Equation processed, mixed phase quality, momentum and the energy equation that there is identical speed to assume based on each component and for predicting gas Rate, the Rayleigh-Plesset Equation that vacuole generates and vacuole is shattered to pieces.
The concrete operations of impeller geometric parameter sensitivity analysis of cryogenic liquid expanding machine inward turning vortex cavitation flowing are:
Change impeller geometric parameter, obtains impeller of different shapes;Geometric Modeling, grid division and sky are carried out to each impeller Change flow numerical simulation and analysis, to determine 7 most sensitive impeller geometric parameters of vortex cavitation, wherein seven leaves Wheel geometric parameter includes the angle α between inducer outer end face and sagittal plane1, angle between inducer inner face and sagittal plane α3, maximum wrap angle of the blade center parabola in circumferencial direction at inducer outer end face mean radiusOM, inducer outer end face leaf Blade angle at topBlade angle at inducer outer end face mean radiusRadius R at impeller outlet blade root1 And radius R at impeller outlet leaf top2
The characterization statement of complicated vortex cavitating flows includes vortex in cryogenic liquid expanding machine in cryogenic liquid expanding machine The characterization statement of flowing and the characterization statement of cryogenic liquid expanding machine inward turning vortex cavitation flowing;
Vortex motion in cryogenic liquid expanding machine is characterized using the total pressure loss coefficient ζ of cryogenic liquid expanding machine Statement, wherein
Wherein, PtFor the stagnation pressure of cryogenic liquid expanding machine, Pt=p+0.5 ρ (u2+v2+w2), Q is cryogenic liquid expanding machine Flow, AinFor the inlet area of cryogenic liquid expanding machine.
The impeller geometric parameter sensitivity analysis flowed by cryogenic liquid expanding machine inward turning vortex cavitation shows cryogenic liquid The impeller outlet average pressure of expanding machine influences cryogenic liquid expanding machine internal vortex cavitating flows, therefore utilizes nondimensionalization leaf Wheel outlet average pressureThe characterization of cryogenic liquid expanding machine inward turning vortex cavitation flowing is stated, wherein
Wherein,For the impeller outlet average static pressure of initial designs, Pa'veGo out for candidate designs impeller in optimization process Mouth average static pressure.
Build the tool of the flow fieldoptimization object function and flow fieldoptimization control variable for the purpose of controlling vortex cavitating flows Body process is:
Utilize nondimensionalization impeller outlet average pressureWith linear group of the total pressure loss coefficient ζ of cryogenic liquid expanding machine It closes, builds the object function of cryogenic liquid expanding machine vortex cavitation optimal control, wherein the cryogenic liquid expanding machine vortex of structure The object function of cavitation optimal control is:
Subject to:Eff'> eff0eff
eff0And eff' is respectively the isentropic efficiency of complete machine in initial designs and optimization process, ΔeffIt is efficiency to floating downward Dynamic amplitude, C1And C2P is indicated respectivelya'veAnd the weight between ζ, wherein
Flow fieldoptimization control variable includes the angle α between inducer outer end face and sagittal plane1, inducer inner face and diameter To the angle α between face3, maximum wrap angle of the blade center parabola in circumferencial direction at inducer outer end face mean radiusOM、 Blade angle at inducer outer end face leaf topBlade angle at inducer outer end face mean radiusImpeller goes out Radius R at mouth blade root1And radius R at impeller outlet leaf top2
The detailed process of the Parallel implementation of vortex cavitating flows Optimal Control Problem is:By cryogenic expansion machine vortex Cavitation flows Dynamic characterization method is combined with based on adaptively sampled optimization method, and structure cryogenic liquid expanding machine vortex cavitating flows are excellent Change control method, wherein the cryogenic liquid expanding machine vortex cavitating flows optimal control method includes that Kriging model is initial Change module, adaptively sampled optimization module and sample and automatically analyzes module;
The specific work process of the Kriging model initialization module is:Determine optimized variable α130M,R1,R2Variation range, using DOE experimental designs in optimized variable α130M,R1,R2Variation Several experiment samples are chosen in range, then by flow field CFD numerical simulations, are obtainedAnd the maximum value and minimum value of ζ, then will And the maximum value and minimum value of ζ substitutes intoIn, to determine C1And C2
Adaptively sampled optimization module includes the following steps:The structure of agent model and update;Using optimization algorithm with gram In golden agent model be combined, solve EI auxiliary functions, to obtain new Impeller Design, then utilize new Impeller Design to generation Reason model is updated;
Sample automatically analyzes module and includes the following steps:Obtain new optimized variable α130M,R1,R2, Again by new optimized variable α130M,R1,R2Impeller three dimendional blade is converted to, flow field calculation device pair is then used Flow field is iterated calculating, and judges whether to restrain according to the condition of convergence, when convergence, then obtains the information in flow field, then sharp WithCalculating target function value, the profile of impeller vane after must optimizing;It, then will be current when not restraining Optimized variable is referred in lopsided solution, and penalty function is then utilized to generate the optimized variable α of bigger130M,R1,R2 Variation range.
The invention has the advantages that:
Effective control method of cryogenic liquid expanding machine inward turning vortex cavitation flowing of the present invention passes through to cryogenic liquid The control of expanding machine inward turning vortex cavitation flowing can effectively control the vortex motion caused by impeller rotation, inhibit vortex motion The cavitation of induction avoids cryogenic liquid expanding machine unit vibration, shutdown and space division liquefying plant that vortex cavitation is induced from stopping production, The effective performance and operational reliability for improving cryogenic liquid expanding machine.
Description of the drawings
Fig. 1 is the schematic diagram of impeller shape parametrization;
Fig. 2 is the flow diagram of vortex cavitating flows optimal control in the present invention.
Specific implementation mode
The present invention is described in further detail below in conjunction with the accompanying drawings:
With reference to figure 1, effective control method of cryogenic liquid expanding machine inward turning vortex cavitation flowing of the present invention includes examining Consider the research of cryogenic liquid expanding machine vortex cavitation mechanism, the cryogenic liquid expanding machine inward turning vortex cavitation of cryogen thermomechanical effect The characterization statement of complicated vortex cavitating flows, structure in the impeller geometric parameter sensitivity analysis of flowing, cryogenic liquid expanding machine The flow fieldoptimization object function and flow fieldoptimization built for the purpose of controlling vortex cavitating flows control variable and vortex Cavitation flows The Parallel implementation of dynamic Optimal Control Problem.
1, consider that the detailed process of the cryogenic liquid expanding machine vortex cavitation mechanism research of cryogen thermomechanical effect is:
The flowing of cryogenic liquid expanding machine interior cavitation is studied using Rayleigh-Plesset cavitation models, it will Rayleigh-Plesset cavitation models are combined with liquid expander complete machine numerical model, to simulate cryogenic liquid expanding machine whirlpool Saturated vapour pressure and surface tension are especially expressed as by the numerical value of vortex cavitation in order to consider " the thermodynamics benefit " of cryogen The function varied with temperature;In the iterative process in flow field, saturation vapour pressure is with surface tension with the change in temperature field Change and real-time update;Mechanism study shows that vortex motion stream originates from high-speed rotating impeller trailing edge in cryogenic liquid expanding machine, and As mainstream extends to diffuser pipe, local static pressure reduction, temperature in impeller outlet and downstream diffuser pipe is caused to increase, and then induce Cavitation.
The Rayleigh-Plesset cavitation models include that cavitation is considered as to the volume fraction control of two-phase three-component system Equation processed, mixed phase quality, momentum and the energy equation that there is identical speed to assume based on each component and for predicting gas Rate, the Rayleigh-Plesset Equation that vacuole generates and vacuole is shattered to pieces.
2, the concrete operations of the impeller geometric parameter sensitivity analysis of low liquid expander inward turning vortex cavitation flowing are:
With reference to figure 1, changes impeller geometric parameter, obtain impeller of different shapes;Geometric Modeling is carried out to each impeller, is divided Grid and cavitating flows numerical simulation and analysis, to determine 7 most sensitive impeller geometric parameters of vortex cavitation, wherein institute It includes the angle α between inducer outer end face and sagittal plane to state seven impeller geometric parameters1, inducer inner face and sagittal plane it Between angle α3, maximum wrap angle of the blade center parabola in circumferencial direction at inducer outer end face mean radiusOM, inducer Blade angle at outer end face leaf topBlade angle at inducer outer end face mean radiusImpeller outlet blade root Locate radius R1And radius R at impeller outlet leaf top2
3, the characterization statement of complicated vortex cavitating flows includes cryogenic liquid expanding machine inward turning in cryogenic liquid expanding machine The characterization statement of the dynamic characterization statement of vortex and the flowing of cryogenic liquid expanding machine inward turning vortex cavitation;
Vortex motion in cryogenic liquid expanding machine is characterized using the total pressure loss coefficient ζ of cryogenic liquid expanding machine Statement, wherein
Wherein, PtFor the stagnation pressure of cryogenic liquid expanding machine, Pt=p+0.5 ρ (u2+v2+w2), Q is cryogenic liquid expanding machine Flow, AinFor the inlet area of cryogenic liquid expanding machine.
The impeller geometric parameter sensitivity analysis flowed by cryogenic liquid expanding machine inward turning vortex cavitation shows impeller outlet Average pressure significantly affects the flowing of liquid expander interior cavitation, and size not only reflects Cavitation Characteristics in impeller, also anti- Cavitation Characteristics in the diffuser pipe of impeller downstream have been reflected, therefore have utilized nondimensionalization impeller outlet average pressureCryogenic liquid is expanded The characterization of machine inward turning vortex cavitation flowing is stated, wherein
Wherein,For the impeller outlet average static pressure of initial designs, P'aveGo out for candidate designs impeller in optimization process Mouth average static pressure.
4, flow fieldoptimization object function and flow fieldoptimization of the structure for the purpose of controlling vortex cavitating flows control variable Detailed process is:
Utilize nondimensionalization impeller outlet average pressureWith linear group of the total pressure loss coefficient ζ of cryogenic liquid expanding machine It closes, builds the object function of cryogenic liquid expanding machine vortex cavitation optimal control, wherein ζ characterizes impeller outlet vortex motion institute Caused by flow losses, dimensionless impeller outlet average pressureCharacterize cavitating flows, the cryogenic liquid expanding machine vortex of structure The object function of cavitation optimal control is:
Subject to:Eff'> eff0eff
By above-mentioned object function target as an optimization, impeller vortex cavitating flows can be effectively inhibited, wherein eff0And Eff' is respectively the isentropic efficiency of complete machine in initial designs and optimization process, Δeff(can choose 2%) is that efficiency is floated downwards Amplitude, to prevent flow fieldoptimization during expanding machine overall performance decline, C1And C2P' is indicated respectivelyaveAnd the weight between ζ, Wherein,
Before optimization starts, N number of experiment sample is determined by experimental design.Flow-data and correlation are obtained by numerical simulation Information establishes initial agent model;By statistical analysis, obtain in experiment sampleWith the maximum and minimum value of ζ, then Determine parameter C1And C2
Flow fieldoptimization control variable includes the angle α between inducer outer end face and sagittal plane1, inducer inner face and diameter To the angle α between face3, maximum wrap angle of the blade center parabola in circumferencial direction at inducer outer end face mean radiusOM、 Blade angle at inducer outer end face leaf topBlade angle at inducer outer end face mean radiusImpeller goes out Radius R at mouth blade root1And radius R at impeller outlet leaf top2
5, the detailed process of the Parallel implementation of vortex cavitating flows Optimal Control Problem is:
Cryogenic expansion machine vortex cavitating flows characterization method is combined with based on adaptively sampled optimization method, structure Cryogenic liquid expanding machine vortex cavitating flows optimal control method is built, with reference to figure 2, wherein the cryogenic liquid expanding machine vortex Cavitating flows optimal control method includes that Kriging model initialization module, adaptively sampled optimization module and sample divide automatically Analyse module;
The specific work process of the Kriging model initialization module is:Determine optimized variable α130M,R1,R2Variation range, using DOE experimental designs in optimized variable α130M,R1,R2Variation Choose several experiment samples in range, then by flow field CFD numerical simulations, to obtain its corresponding target function value, however Initial agent model is established on the basis of this, then D0E test samples are counted by analysis, is obtainedAnd the maximum value and minimum of ζ Then value willAnd the maximum value and minimum value of ζ substitutes intoIn, to determine C1And C2
Adaptively sampled optimization module includes the following steps:The structure of agent model and update, i.e., replaced using agent model The CFD that generation takes is calculated, and is completed the assessment of candidate designs, is accelerated the process of optimizing;And using optimization algorithm with gram in Jin Dynasty manage Model is combined, solve EI auxiliary functions, to obtain new Impeller Design, then utilize new Impeller Design to agent model into Row update;
Sample automatically analyzes module and includes the following steps:Obtain new optimized variable α130M,R1,R2, Again by new optimized variable α130M,R1,R2Impeller three dimendional blade is converted to, flow field calculation device pair is then used Flow field is iterated calculating, and judges whether to restrain according to the condition of convergence, when convergence, then obtains the information in flow field, then sharp WithCalculating target function value, the profile of impeller vane after must optimizing;It, then will be current when not restraining Optimized variable is referred in lopsided solution, and penalty function is then utilized to generate the optimized variable α of bigger130M,R1,R2 Variation range.
The continuous interaction that module is automatically analyzed by optimization algorithm main program and sample carries out in real time more Kriging model Newly, the characteristic information of optimization problem is captured, corrects optimizing approach in real time, is searched for along the direction of global solution, until reaching knot Beam condition stops search and exports the profile of impeller vane after optimization.

Claims (7)

1. a kind of effective control method of cryogenic liquid expanding machine inward turning vortex cavitation flowing, which is characterized in that including considering low temperature The cryogenic liquid expanding machine vortex cavitation mechanism research of thermodynamic fluid effect, cryogenic liquid expanding machine inward turning vortex cavitation flow The characterization statement of complicated vortex cavitating flows, structure are to control in the sensitivity analysis of impeller geometric parameter, cryogenic liquid expanding machine Flow fieldoptimization object function and flow fieldoptimization control variable for the purpose of vortex cavitating flows processed and the optimization of vortex cavitating flows The Parallel implementation of control problem.
2. effective control method of cryogenic liquid expanding machine inward turning vortex cavitation flowing according to claim 1, feature exist In the detailed process of the cryogenic liquid expanding machine vortex cavitation mechanism research of consideration cryogen thermomechanical effect is:Using Rayleigh-Plesset cavitation models study the flowing of cryogenic liquid expanding machine interior cavitation, by Rayleigh- Plesset cavitation models are combined with liquid expander complete machine numerical model, to simulate liquid expander whirlpool cavitating flows.
3. effective control method of cryogenic liquid expanding machine inward turning vortex cavitation flowing according to claim 1, feature exist In the Rayleigh-Plesset cavitation models include that cavitation is considered as to the volume fraction controlling party of two-phase three-component system Journey has mixed phase quality, momentum and the energy equation of identical speed hypothesis based on each component and for predicting gasification Rate, the Rayleigh-Plesset Equation that vacuole generates and vacuole is shattered to pieces.
4. effective control method of cryogenic liquid expanding machine inward turning vortex cavitation flowing according to claim 1, feature exist In the concrete operations of the impeller geometric parameter sensitivity analysis of cryogenic liquid expanding machine inward turning vortex cavitation flowing are:
Change impeller geometric parameter, obtains impeller of different shapes;Geometric Modeling, grid division and Cavitation flows are carried out to each impeller Dynamic numerical simulation and analysis, to determine 7 most sensitive impeller geometric parameters of vortex cavitation, wherein seven impellers are several What parameter includes the angle α between inducer outer end face and sagittal plane1, angle α between inducer inner face and sagittal plane3, lure Maximum wrap angle of the blade center parabola in circumferencial direction at guide wheel outer end face mean radiusOM, at inducer outer end face leaf top Blade angleBlade angle at inducer outer end face mean radiusRadius R at impeller outlet blade root1And impeller Export radius R at leaf top2
5. effective control method of cryogenic liquid expanding machine inward turning vortex cavitation flowing according to claim 1, feature exist In the characterization statement of complicated vortex cavitating flows includes vortex motion in cryogenic liquid expanding machine in cryogenic liquid expanding machine Characterize the characterization statement of statement and the flowing of cryogenic liquid expanding machine inward turning vortex cavitation;
Characterization table is carried out to vortex motion in cryogenic liquid expanding machine using the total pressure loss coefficient ζ of cryogenic liquid expanding machine It states, wherein
Wherein, PtFor the stagnation pressure of cryogenic liquid expanding machine, Pt=p+0.5 ρ (u2+v2+w2), Q is the flow of cryogenic liquid expanding machine, AinFor the inlet area of cryogenic liquid expanding machine;
The impeller geometric parameter sensitivity analysis flowed by cryogenic liquid expanding machine inward turning vortex cavitation shows that cryogenic liquid expands The impeller outlet average pressure of machine influences cryogenic liquid expanding machine internal vortex cavitating flows, therefore is gone out using nondimensionalization impeller Mouth average pressureThe feature of cryogenic liquid expanding machine inward turning vortex cavitation flowing is stated, wherein
Wherein,For the impeller outlet average static pressure of initial designs, P'aveIt is flat for the outlet of candidate designs impeller in optimization process Equal static pressure.
6. effective control method of cryogenic liquid expanding machine inward turning vortex cavitation flowing according to claim 1, feature exist In the detailed process of flow fieldoptimization object function and flow fieldoptimization control variable of the structure for the purpose of controlling vortex cavitating flows For:
Utilize nondimensionalization impeller outlet average pressureWith the linear combination of the total pressure loss coefficient ζ of cryogenic liquid expanding machine, structure Build the object function of cryogenic liquid expanding machine vortex cavitation optimal control, wherein the cryogenic liquid expanding machine vortex cavitation of structure The object function of optimal control is:
eff0And eff' is respectively the isentropic efficiency of complete machine in initial designs and optimization process, ΔeffIt floats downwards for efficiency Amplitude, C1And C2P' is indicated respectivelyaveAnd the weight between ζ, wherein
Flow fieldoptimization control variable includes the angle α between inducer outer end face and sagittal plane1, inducer inner face and sagittal plane Between angle α3, maximum wrap angle of the blade center parabola in circumferencial direction at inducer outer end face mean radiusOM, induction Take turns the blade angle at outer end face leaf topBlade angle at inducer outer end face mean radiusImpeller outlet leaf Radius R at root1And radius R at impeller outlet leaf top2
7. effective control method of cryogenic liquid expanding machine inward turning vortex cavitation flowing according to claim 1, feature exist In the detailed process of the Parallel implementation of vortex cavitating flows Optimal Control Problem is:Cryogenic expansion machine vortex cavitating flows are special Signization method is combined with based on adaptively sampled optimization method, structure cryogenic liquid expanding machine vortex cavitating flows optimization control Method processed, wherein the cryogenic liquid expanding machine vortex cavitating flows optimal control method includes Kriging model initialization mould Block, adaptively sampled optimization module and sample automatically analyze module;
The specific work process of the Kriging model initialization module is:Determine optimized variable α130M,R1, R2Variation range, using DOE experimental designs in optimized variable α130M,R1,R2Variation range in choose Several experiment samples, then by flow field CFD numerical simulations, obtainAnd the maximum value and minimum value of ζ, then willAnd the maximum value of ζ It is substituted into minimum valueIn, to determine C1And C2
Adaptively sampled optimization module includes the following steps:The structure of agent model and update;Using optimization algorithm and Ke Lijin Agent model is combined, and EI auxiliary functions is solved, to obtain new Impeller Design, then using new Impeller Design to acting on behalf of mould Type is updated;
Sample automatically analyzes module and includes the following steps:Obtain new optimized variable α130M,R1,R2, then will New optimized variable α130M,R1,R2Impeller three dimendional blade is converted to, flow field calculation device stream field is then used It is iterated calculating, and judges whether to restrain according to the condition of convergence, when convergence, then the information in flow field is obtained, then utilizesCalculating target function value, the profile of impeller vane after must optimizing;It, then will be current excellent when not restraining Change variable to be referred in lopsided solution, penalty function is then utilized to generate the optimized variable α of bigger130M,R1,R2's Variation range.
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CN110704965A (en) * 2019-09-17 2020-01-17 北京理工大学 Cavitation model correction method suitable for dynamic boundary cavitation streaming
CN110704965B (en) * 2019-09-17 2021-02-09 北京理工大学 Cavitation model correction method suitable for dynamic boundary cavitation streaming
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CN113158355A (en) * 2021-01-29 2021-07-23 西安交通大学 Low-temperature liquid expander full-working-condition optimization design method
CN113158356A (en) * 2021-01-29 2021-07-23 西安交通大学 Collaborative optimization design method for anti-cavitation rectification cone of low-temperature liquid expansion machine
CN113158355B (en) * 2021-01-29 2022-10-25 西安交通大学 All-condition optimization design method for low-temperature liquid expander
CN113158356B (en) * 2021-01-29 2022-12-09 西安交通大学 Collaborative optimization design method for anti-cavitation rectification cone of low-temperature liquid expander
CN114357632A (en) * 2022-03-21 2022-04-15 潍柴动力股份有限公司 Oil sprayer optimization method and device
CN114357632B (en) * 2022-03-21 2022-07-15 潍柴动力股份有限公司 Oil sprayer optimization method and device
CN117307266A (en) * 2023-08-31 2023-12-29 中科合肥技术创新工程院 Control system for vortex cavitation flow in low-temperature liquid expander
CN117307266B (en) * 2023-08-31 2024-03-19 中科合肥技术创新工程院 Control system for vortex cavitation flow in low-temperature liquid expander

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