CN100370148C - Blade type optimized designing method of turbine compression fluid machine - Google Patents
Blade type optimized designing method of turbine compression fluid machine Download PDFInfo
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- CN100370148C CN100370148C CNB2005100307720A CN200510030772A CN100370148C CN 100370148 C CN100370148 C CN 100370148C CN B2005100307720 A CNB2005100307720 A CN B2005100307720A CN 200510030772 A CN200510030772 A CN 200510030772A CN 100370148 C CN100370148 C CN 100370148C
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Abstract
The present invention relates to a blade-shaped line optimized designing method of a turbine compression fluid machine. Firstly, the flowing process controlled by N-S partial differential equation is simplified to a flowing system described by a system of ordinary differential equations through reasonable simplification and combined with the characteristics of a turbine machine; a state equation is established from the optimal control theory, and the equation is combined to a relative optimal control form. The present invention has the aims that the blade type optimized designing method of a turbine compression fluid machine has no separating maximum diffusion degrees in theory under the conditions of given meridian type and vane thickness distribution and fulfills various constraints. The outlet angles of blade installation are used as control variable, iteration calculation is carried out according to the geometric modeling of blades in three-dimensional space and a system of an ordinary differential equation of a described flow system, and finally, the optimized blade-shaped line of an impeller of a deceleration line, which can fulfill the aim of no separation on the surface is obtained. The blade-shaped line which adopts the optimized design of the present invention can make the compressed fluid machine have the characteristics of high efficiency, low power consumption and safe operation.
Description
Technical field
The present invention relates to a kind of blade type optimized designing method of turbine compression fluid machine, be specifically related to a kind of vane type line design method that adopts the turbine compression fluid machine of impeller surface optimal velocity distribution, adopt the impeller of the present invention's design, can make that compression fluid machine has efficiently, the characteristics of low energy consumption, security of operation.
Background technique
Turbine compression fluid machine (comprises centrifugal compressor, centrifugal blower etc.) be the rotating machinery of most critical in the important industries such as large-scale chemical fertilizer, ethene, oil refining, Coal Chemical Industry, metallurgical system, air separation plant and generating, military project, the high efficiency of its work, reliability and security are the focuses that academia and Business circle are paid close attention to always.The high efficiency of unit (comprising design conditions and variable working condition) plays crucial effect with reliability (long period failure-free operation) to economic benefit of enterprises.In the design of the vane type line of this class fluid machinery, the design of impeller not only will have high single design power efficiency, and the design that can satisfy a plurality of design conditions and the comprehensive advance of off design performance and big surge margin efficiently should be arranged.Therefore, in the design of impeller, should by the number of blade, sound parts clearance and circumferential position are distributed, controls such as the blade profile of sound leaf, Diffuser, return channel, Volute Design reach best effects, prevent stall very important in the turbine fluid machinery, the generation of surge with control.
Under existing conditions, setting up the design method of good 3 d impeller design method and narrow leaf wheel, is an important step setting up advanced, reliable turbine fluid machine blade wheel design system.But how to make impeller design reach optimum or suboptimum, be still the very work of difficulty.Design methods existing belongs to flow field analysis basically and adds experience, at last by verifying, in theory comparatively is short of.On turbine fluid machine blade wheel design cycle, for any one design parameter or customer requirements, generally can make many feasible schemes, pick out a preferred embodiments by the artificer then, as doing with nonlinear programming, the problem that promptly belongs to optimal design can be summed up as and optimize finding the solution of proposition.From optimum theory, for the system that can describe with algebraic equation, solve with mathematical program theory, but for a system with differential equation, for example use N-S (Navier-Stokes, receive the dimension stoke) turbomachine internal flow that equation is described, can only solve with optimal control theory.In this regard, be divided into the system of ordinary differential equation description and the system that partial differential equation are described again, the latter is the problem that belongs to distributed parameter optimal control category, too complicated, still be difficult to solve practical problem so far, the former belongs to lumped parameter optimal control category, generally speaking, can only obtain numerical solution.
How in conjunction with the characteristics of turbine compression impeller machinery, by control impeller surface velocity distribution, the optimal design vane type line is a problem with realistic meaning.
Summary of the invention
The objective of the invention is at the deficiencies in the prior art, a kind of blade type optimized designing method of turbine compression fluid machine is provided, make the compression fluid machine that adopts the optimal design impeller have the dead high efficiency of work, reliability, Security and Security, be applicable to various design conditions and variable working condition.
For realizing this purpose, the present invention adopts the vane type line design method of the turbine compression fluid machine of impeller surface optimal velocity distribution, in conjunction with the characteristics of turbine compression impeller machinery, by control impeller surface velocity distribution, optimal design vane type line.By rational simplification, will be by the flow process of partial differential equation control characteristics in conjunction with turbomachine, be converted into the running system of describing by the ordinary differential equation group, from optimal control theory, set up equation of state, with this equation naturalization is corresponding optimal control form, cost functional does not have the maximum diffusion degree that separates in theory for having under given meridian molded lines and vane thickness distribution occasion, and satisfy various constraint conditios, with exit angle as controlled variable, last ordinary differential equation group according to geometric modeling that obtains the three dimensional space blade and description running system, carry out iterative computation, finally obtain satisfying in theory the molded lines that the surface does not have the impeller blade of the optimum reduction of speed line that separates.
Method concrete steps of the present invention are as follows:
1, the turbomachine internal flow can think to submit to the N-S equation, therefore earlier do some simplification in conjunction with the characteristics of turbomachine, comprise: the turbomachine internal flow is steady relative, non-constant entropy, ignore the effect of local viscous force and the historical effect of accumulation of viscosity, the influence of boundary layer growth, blending, gap earial drainage, secondary flow or the like all increased with entropy estimate, to be reduced to the running system of describing by the ordinary differential equation group by the flow process of N-S equation control.
2,, set up equation of state, and be corresponding optimal control form the equation of state naturalization from optimal control theory.Be called the theoretical separation of not having with giving certain margin of safety because of the consideration variable working condition in the actual design, the cost functional of setting up does not have the maximum diffusion degree that separates in theory for having under given meridian molded lines and vane thickness distribution occasion, and satisfy various constraint conditios, comprising: profile place suction surface speed is not less than a certain setting value; Impeller throat stream Mach number is not more than a certain setting value; The absolute value of the angle of attack is not higher than a certain setting value; Load on the blade is not higher than a certain setting value; The impeller outlet flow angle is not less than a certain setting value; Finally obtain existing the governing equation group of optimal solution.
3, because the optimal control equation group is very complicated, and strangeness control problem appears in regular meeting.Therefore, adopting directly asks excellent technology that the optimal control equation group is found the solution, that is: with the wheel cap place along the blade installation exit angle of meridian line length and wheel disc place along the blade installation exit angle of meridian line length as controlled variable, change the distribution of two controlled variable, obtain different cost functional values, according to the reduction value of the deviation calculation controlled variable of cost functional value about controlled variable; The distribution of the blade angle on the Normal direction of impeller meridional stream line requires to select in following two kinds of rules according to reality: blade angle is the vertical element method of linear distribution, and perhaps blade angle is secondary or the high minor element method that repeatedly distributes; Thus, according to the installation outlet angle regularity of distribution of impeller on meridional stream line and Normal direction, can obtain the geometric modeling of three dimensional space blade.Wherein, the advantage of vertical element method is to be easy to process on five coordinate milling machines, can reduce manufacture cost greatly.The advantage of high minor element method can make blade that the angle of attack that better flows can be arranged, but processing difficulties, cost increases.
4, according to the ordinary differential equation group of geometric modeling that obtains the three dimensional space blade and description running system, calculate.In computational process, can not satisfy constraint conditio in the step 2 if can not reach designing requirement or interior flow field by the average outlet pressure of flow, then essential meridional channel shape and the external diameter of revising the wheel disc wheel cap of impeller, double counting, until satisfying constraint conditio, finish the vane type line design at last.
The present invention is applied to the pneumatic design of turbine compression fluid machine with modern optimal control theory, sets up corresponding physical model and mathematical model, has solved impeller optimal design problem.Through a large amount of engineering practice checking, by control impeller surface velocity distribution, the vane type line of optimal design can make that compression fluid machine has efficiently, the characteristics of low energy consumption, security of operation.
Description of drawings
Fig. 1 is the velocity distribution curve figure of a centrifugal blower fan blade wheel of employing the inventive method design.
Fig. 2 is the geometrical construction figure of impeller among the described embodiment of Fig. 1.
Among Fig. 2,1 is the impeller shroud, and 2 is the impeller hub disk, and 3 is blade, and 4 are the import stiffening ring, and 5 is wheel hub.
Embodiment
Below with the design of a centrifugal blower, the specific embodiment of the present invention is further described.
Fan design air quantity: 16Nm
3/ min, inlet temperature: 25 ℃, inlet pressure: 2.5Kpa (G), outlet pressure: 19.5Kpa (G).
Be optimized design according to the following steps:
1, according to the aerodynamic parameter of structural feature, designing requirement and the blower fan of centrifugal blower, to simplifying: think that the blower fan internal flow is steady relative, non-constant entropy by the flow equation of N-S equation control, ignore the effect of local viscous force and the historical effect of accumulation of viscosity, the influence of blower fan internal impeller surface and the growth of volute of blower boundary layer, blending, gap earial drainage and secondary flow or the like all increased with entropy estimate, to be reduced to the running system of describing by the ordinary differential equation group by the flow process of N-S equation control like this.
2,, set up equation of state from optimal control theory.And be corresponding optimal control form with the equation of state naturalization.Set up cost functional, promptly under given meridian molded lines and vane thickness distribution occasion, have and do not have the maximum diffusion degree that separates in theory, in the actual design of this blower fan, owing to consider that this blower fan is to be used in the process system, the import and export condition is very unstable, must consider the condition of variable working condition, therefore, when setting up objective function, consider the nargin of certain safety.In the design of this blower fan, objective function should and satisfy following constraint conditio: profile place suction surface speed is not less than 2.5m/s; Impeller throat stream Mach number is not more than 0.6; The absolute value of the angle of attack is not higher than 4.5 °; The impeller outlet flow angle is not less than 70 °.
3, employing directly asks excellent technology that the optimal control equation group is found the solution, that is: with the blade installation exit angle β of wheel cap place along meridian line length
1sAnd the wheel disc place is along the blade installation exit angle β of meridian line length
1hAs controlled variable, change the distribution of these two controlled variable, obtain different about controlled variable β
1s, β
1hThe cost functional value, according to the reduction value of the deviation calculation controlled variable of cost functional value.In the design, the vertical element method is adopted in the distribution of the blade angle on the Normal direction of impeller meridional stream line, processes on five coordinate milling machines to be easy to impeller, can reduce the blower fan manufacture cost greatly.Thus, according to the installation outlet angle regularity of distribution of impeller on meridional stream line and Normal direction, can obtain the geometric modeling of three dimensional space blade.
4, according to the ordinary differential equation group of geometric modeling that obtains the three dimensional space blade and description running system, calculate.In computational process, calculate whether can reach designing requirement, if press the relative difference of the outlet pressure of average outlet pressure of flow and designing requirement: 19.5Kpa (G) greater than 10 by the average outlet pressure of flow
-4, then essential meridional channel shape and the external diameter of revising the wheel disc wheel cap of impeller, double counting is designed mouth pressure until satisfying.Check interior flow field whether can satisfy constraint conditio simultaneously, as constraint conditios such as the absolute value that can not satisfy profile place suction surface speed, impeller throat stream Mach number, the angle of attack and impeller outlet flow angle, also essential meridional channel shape and the external diameter of revising the wheel disc wheel cap of impeller, double counting is until satisfying each constraint conditio.Finish the vane type line design at last.
The velocity distribution curve figure of the centrifugal blower fan blade wheel that Fig. 1 designs for embodiment.Provided close wheel cap and two of wheel disc place among the figure respectively and revolved into velocity contour on the face: three lines are respectively by the speed of suction surface, median surface, pressure side from top to bottom.This velocity distribution all satisfies above various constraints.This impeller is on probation, and performance is fine.
Fig. 2 is the geometrical construction figure of impeller among the described embodiment of Fig. 1.Among Fig. 2,1 is the impeller shroud, and 2 is the impeller hub disk, and 3 is blade, and 4 are the import stiffening ring, and 5 is wheel hub.Vane type line wherein obtains according to finding the solution the optimal control equation group.
Adopt the present invention to control the Optimization Design that the impeller surface optimal velocity distributes, with China's blower fan industry Traditional draught fan impeller is compared, and adopts the blower fan of this impeller to have that starting power is little, energy consumption is low, efficient operation Scope is wide, in service to be difficult for entering the characteristics that surge area, motor are difficult for excess load, is specially adapted to operating mode and becomes Change in the bigger process system, operation provides great guarantee to security of system.
Claims (1)
1. the blade type optimized designing method of a turbine compression fluid machine is characterized in that comprising the steps:
1) establishing the turbomachine internal flow submits to and receives dimension stoke N-S equation, do some simplification in conjunction with the characteristics of turbomachine, comprise: the turbomachine internal flow is steady relative, non-constant entropy, ignore the effect of local viscous force and the historical effect of accumulation of viscosity, the influence of boundary layer growth, blending, gap earial drainage, secondary flow all increased with entropy estimate, to be reduced to the running system of describing by the ordinary differential equation group by the flow process of N-S equation control;
2), set up equation of state, and be corresponding optimal control form the equation of state naturalization from optimal control theory; Be called the theoretical separation of not having with giving certain margin of safety because of the consideration variable working condition in the actual design, the cost functional of setting up does not have the maximum diffusion degree that separates in theory for having under given meridian molded lines and vane thickness distribution occasion, and satisfy various constraint conditios, comprising: profile place suction surface speed is not less than a certain setting value; Impeller throat stream Mach number is not more than a certain setting value; The absolute value of the angle of attack is not higher than a certain setting value; Load on the blade is not higher than a certain setting value; The impeller outlet flow angle is not less than a certain setting value; Finally obtain existing the governing equation group of optimal solution;
3) employing directly asks excellent technology that the optimal control equation group is found the solution, that is: with the wheel cap place along the blade installation exit angle of meridian line length and wheel disc place along the blade installation exit angle of meridian line length as controlled variable, change the distribution of two controlled variable, obtain different cost functional values, according to the reduction value of the deviation calculation controlled variable of cost functional value about controlled variable; The distribution of the blade angle on the Normal direction of impeller meridional stream line requires to select in following two kinds of rules according to reality: blade angle is the vertical element method of linear distribution, and perhaps blade angle is secondary or the high minor element method that repeatedly distributes; Thus, according to the installation outlet angle regularity of distribution of impeller on meridional stream line and Normal direction, can obtain the geometric modeling of three dimensional space blade;
4) basis obtains the geometric modeling of three dimensional space blade and the ordinary differential equation group of describing running system, calculate, in computational process, if can not reach designing requirement or interior flow field can not satisfy step 2 by the average outlet pressure of flow) in constraint conditio, then essential meridional channel shape and the external diameter of revising the wheel disc wheel cap of impeller, double counting until satisfying constraint conditio, is finished the vane type line design at last.
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| CNB2005100307720A CN100370148C (en) | 2005-10-27 | 2005-10-27 | Blade type optimized designing method of turbine compression fluid machine |
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| CNB2005100307720A CN100370148C (en) | 2005-10-27 | 2005-10-27 | Blade type optimized designing method of turbine compression fluid machine |
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| CN100370148C true CN100370148C (en) | 2008-02-20 |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US11421702B2 (en) | 2019-08-21 | 2022-08-23 | Pratt & Whitney Canada Corp. | Impeller with chordwise vane thickness variation |
Families Citing this family (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN100458179C (en) * | 2007-11-09 | 2009-02-04 | 北京航空航天大学 | Wheel hub shaping method for improving end area blocking |
| CN105736456B (en) * | 2016-02-26 | 2018-12-07 | 珠海格力电器股份有限公司 | Double-working-condition multiple spot method for designing impeller |
| CN107152312B (en) * | 2017-06-19 | 2020-05-05 | 上海理工大学 | Design method of multistage subsonic centrifugal turbine impeller |
| CN112395702B (en) * | 2020-11-17 | 2022-06-10 | 上海交通大学 | Optimization design method and system for axial flow compressor blade |
| CN116702379B (en) * | 2023-08-04 | 2023-10-31 | 北京航空航天大学 | Supercritical carbon dioxide multistage axial flow compressor design method and system |
Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2349388Y (en) * | 1998-10-19 | 1999-11-17 | 清华大学 | Centrifugal blower fan |
| US6537030B1 (en) * | 2000-10-18 | 2003-03-25 | Fasco Industries, Inc. | Single piece impeller having radial output |
| CN2572073Y (en) * | 2002-08-21 | 2003-09-10 | 北京建大流体技术研究院 | Impeller with lead-changeable impeller line for screw axial-flow pump |
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2005
- 2005-10-27 CN CNB2005100307720A patent/CN100370148C/en not_active Expired - Fee Related
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2349388Y (en) * | 1998-10-19 | 1999-11-17 | 清华大学 | Centrifugal blower fan |
| US6537030B1 (en) * | 2000-10-18 | 2003-03-25 | Fasco Industries, Inc. | Single piece impeller having radial output |
| CN2572073Y (en) * | 2002-08-21 | 2003-09-10 | 北京建大流体技术研究院 | Impeller with lead-changeable impeller line for screw axial-flow pump |
Non-Patent Citations (1)
| Title |
|---|
| 径、混流式前向三元叶轮成型设计研究. 王少平，姜培正，谷传纲，苗永淼.应用力学学报，第9卷第3期. 1992 * |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US11421702B2 (en) | 2019-08-21 | 2022-08-23 | Pratt & Whitney Canada Corp. | Impeller with chordwise vane thickness variation |
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Assignee: Zhejiang Rongfa Motor Engine Co., Ltd. Assignor: Shanghai Jiao Tong University Contract fulfillment period: 2009.3.30 to 2014.3.2 Contract record no.: 2009330001010 Denomination of invention: Blade type optimized designing method of turbine compression fluid machine Granted publication date: 20080220 License type: Exclusive license Record date: 2009.5.15 |
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Free format text: EXCLUSIVE LICENSE; TIME LIMIT OF IMPLEMENTING CONTACT: 2009.3.30 TO 2014.3.2; CHANGE OF CONTRACT Name of requester: ZHEJIANG PROV RONGFA DYNAMICS CO., LTD. Effective date: 20090515 |
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Assignee: Zhejiang Rongfa Motor Engine Co., Ltd. Assignor: Shanghai Jiao Tong University Contract record no.: 2009330001010 Date of cancellation: 20131128 |
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