CN113342314B - Supercritical carbon dioxide working medium axial flow turbine design system and method - Google Patents

Supercritical carbon dioxide working medium axial flow turbine design system and method Download PDF

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CN113342314B
CN113342314B CN202110595394.XA CN202110595394A CN113342314B CN 113342314 B CN113342314 B CN 113342314B CN 202110595394 A CN202110595394 A CN 202110595394A CN 113342314 B CN113342314 B CN 113342314B
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carbon dioxide
supercritical carbon
design
axial flow
blade
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CN113342314A (en
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邓清华
迟志男
李军
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Xian Jiaotong University
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F8/00Arrangements for software engineering
    • G06F8/20Software design
    • G06F8/22Procedural
    • 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
    • F01D1/00Non-positive-displacement machines or engines, e.g. steam turbines
    • F01D1/02Non-positive-displacement machines or engines, e.g. steam turbines with stationary working-fluid guiding means and bladed or like rotor, e.g. multi-bladed impulse steam turbines
    • F01D1/04Non-positive-displacement machines or engines, e.g. steam turbines with stationary working-fluid guiding means and bladed or like rotor, e.g. multi-bladed impulse steam turbines traversed by the working-fluid substantially axially
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/17Mechanical parametric or variational design
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation

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Abstract

The invention discloses a supercritical carbon dioxide working medium axial flow turbine design system and a supercritical carbon dioxide working medium axial flow turbine design method, comprising a MULTALL program, a thermal design platform and a user interface, wherein the output end of the MULTALL program is in signal connection with the input end of the thermal design platform, the output end of the thermal design platform is in signal connection with the input end of the user interface, the thermal design platform comprises a thermal calculation module, a physical property calling module, a loss model module and an optimization algorithm module, and the thermal design platform is built on the basis of the MULTALL program by adopting Fortran language. According to the supercritical carbon dioxide working medium axial flow turbine design system and method, the output end of the MULTALL program is connected with the input end of the thermal design platform in a signal mode, and the output end of the thermal design platform is connected with the input end of the user interface in a signal mode, so that a result meeting the termination condition can be obtained, and further reference can be provided for designing supercritical carbon dioxide axial flow turbines with different powers.

Description

Supercritical carbon dioxide working medium axial flow turbine design system and method
Technical Field
The invention relates to the technical field of design software, in particular to a supercritical carbon dioxide working medium axial flow turbine design system and a supercritical carbon dioxide working medium axial flow turbine design method.
Background
At present, an axial flow turbine design system mainly uses steam working medium, and the software introduces the physical properties of Refarop into a design program and adds a KO loss model as an iteration standard. Meanwhile, the existing turbine design software utilizes a design method of speed ratio and reaction degree, and the parameters are more and do not utilize optimal design. The software uses a design method of flow coefficients and load coefficients, only controls two initial variables, and is beneficial to optimizing an aggregate genetic algorithm.
Along with the improvement and development of the technology level, the demands of users on a high-level quality supercritical carbon dioxide working medium axial flow turbine design system are increasing day by day, but the existing supercritical carbon dioxide working medium axial flow turbine design system still has the problem that reference cannot be provided for designing supercritical carbon dioxide axial flow turbines with different powers, so we propose a supercritical carbon dioxide working medium axial flow turbine design system and a supercritical carbon dioxide working medium axial flow turbine design method to solve the problems.
The thermodynamic design platform is built on the basis of the MULTALL program by adopting the Fortran language and comprises a thermodynamic calculation module, a physical property calling module, a loss model module and an optimization algorithm module, and a user interface is designed on the basis of the modules to realize man-machine interaction, so that the thermodynamic design platform can provide references for designing supercritical carbon dioxide axial-flow turbines with different powers.
Disclosure of Invention
In order to achieve the purpose of providing references for designing supercritical carbon dioxide axial flow turbines with different powers, the invention provides the following technical scheme: the supercritical carbon dioxide working medium axial flow turbine design system comprises a MULTALL program, a thermal design platform and a user interface, wherein the output end of the MULTALL program is in signal connection with the input end of the thermal design platform, and the output end of the thermal design platform is in signal connection with the input end of the user interface.
As optimization, the thermal design platform comprises a thermal calculation module, a physical property calling module, a loss model module and an optimization algorithm module, and is built on the basis of a multi program by adopting the Fortran language.
As optimization, in the thermodynamic design process, after knowing inlet and outlet parameters, ideal enthalpy drop delta h of turbine work can be obtained stotal Secondly, obtaining the enthalpy drop delta h of each stage according to the initial total static efficiency and the method for equally distributing the enthalpy drops of the stages s The blade peripheral speed U can then be deduced from the load factor definition, and then fromThe design point radius R is deduced hub Enabling it to calculate the circumferential speed and radius.
As an optimization, the flow area of the fluid is regarded as a ring shape, and an expression of the flow area can be obtained:secondly, according to the coordinates of the design points, the through-flow interface and the axial directionThe coordinates of the design points of the inlet and outlet of the hub and the blade row of the blade top can be obtained, and then the coordinate is calculated according to +.>The blade height of the leading edge or the trailing edge of the blade can be calculated, and finally, the average value of the blade height and the blade height is the blade height of the blade cascade.
As an optimization, in the case of the known axial chord length, to obtain an estimated value of the number of blades, it is necessary to obtain the pitch s of the blade cascade, and in the case of the known axial chord length b, the pitch s of the blade cascade is obtained by calculating the pitch s of the blade cascade using Zweifel coefficients. The blade number calculation method comprises the following steps:and can find the relative pitch of the blade: />From the given axial chord length, the pitch can be determined, and then fromThe number of blades was determined.
As optimization, the beginning part of the physical module selects working media to be calculated, the file name of the working media is stored in an array hf, and the invoking of the physical subprogram generally adopts a FLASH subprogram, namely, under the condition that any two values of the pressure, the temperature, the enthalpy, the entropy and the density of the working media are known, the rest physical parameters can be obtained.
As optimization, the thermal design platform adds a loss model module to combine the thermal design module to test the given initial total static efficiency, and gives an error of 0.01%, so that an experimenter can judge whether to give a value again to the total static efficiency for iterative calculation.
The supercritical carbon dioxide working medium axial flow turbine design method comprises the following steps:
s1: building a thermodynamic design platform on the basis of the MULTALL program by adopting the Fortran language;
s2: inputting design parameters on the basis of S1, initializing eta ts, performing turbine thermodynamic calculation, and calling NIST physical property database to obtain physical property parameters of thermodynamic calculation in a thermodynamic analysis stage;
s3: on the basis of S2, checking given initial total static efficiency through a loss model module and a thermal design module, giving an error of 0.01%, and if the error is out of the error range, assigning the total static efficiency again for iterative calculation;
s4: on the basis of S3, determining whether eta ts converges, if not, updating eta ts, initializing eta ts and repeating calculation;
s5: on the basis of S4, if eta ts converges, judging whether the eta ts meets the termination condition, if not, inputting the design parameters again by the genetic algorithm, repeating the steps until the eta ts meets the termination condition, outputting the result and terminating the operation;
s6: and on the basis of S5, displaying the numerical value obtained by the thermal design platform on a user interface, thereby realizing man-machine interaction.
The beneficial effects of the invention are as follows: the supercritical carbon dioxide working medium axial flow turbine design system and method comprises a thermal design platform, a physical property calling module, a loss model module and an optimization algorithm module, wherein the thermal design platform comprises a thermal calculation module, a physical property calling module, a loss model module and a optimization algorithm module, the thermal calculation module can obtain the circumferential speed and the radius of a movable blade, the physical property calling module can also determine the blade height and the blade number of a blade grid, the physical property calling module can obtain physical property parameters of the working medium, the loss model module is combined with the thermal design module to test given initial total static efficiency and give an error of 0.01%, the optimization algorithm module solves the problems of multiple extreme values, local optimal solutions and the like of the traditional optimization algorithm, the output end of a MULTALL program is connected with the input end of the thermal design platform through signals, and the output end of the thermal design platform is connected with the input end of a user interface so that the result meeting termination conditions can be obtained, and further reference can be provided for designing supercritical carbon dioxide axial flow turbines with different powers.
Drawings
FIG. 1 is a schematic diagram of the structure of the present invention;
figure 2 is a thermal design of the present invention.
In the figure: 1. the MULTALL program; 2. a thermal design platform; 3. a user interface.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
Please refer to fig. 1: the supercritical carbon dioxide working medium axial flow turbine design system comprises a MULTALL program 1, a thermal design platform 2 and a user interface 3, wherein the output end of the MULTALL program 1 is in signal connection with the input end of the thermal design platform 2, and the output end of the thermal design platform 2 is in signal connection with the input end of the user interface 3.
According to fig. 1: the thermodynamic design platform 2 is built on the basis of the MULTALL program 1, input design parameters are calculated through the thermodynamic design platform 2, and a result meeting a termination condition is obtained, so that references can be provided for designing supercritical carbon dioxide axial-flow turbines with different powers.
Further according to fig. 1-2: the thermodynamic design platform 2 comprises a thermodynamic calculation module, a physical property calling module, a loss model module and an optimization algorithm module, wherein the thermodynamic design platform 2 is built on the basis of a MULTALL program 1 by adopting the Fortran language, and in the thermodynamic design process, the ideal enthalpy drop of the work of a turbine can be obtained after the inlet and outlet parameters are known, and the Δh is calculated stotal Secondly, obtaining the enthalpy drop delta h of each stage according to the initial total static efficiency and the method for equally distributing the enthalpy drops of the stages s The blade peripheral speed U can then be deduced from the load factor definition, and then fromThe design point radius R is deduced hub Considering the flow area of the fluid as annular, an expression for the flow area can be derived: />Secondly, according to the coordinates of the design points and the included angle between the through-flow interface and the axial direction, the coordinates of the design points of the inlet and outlet of the blade cascade of the hub and the blade top can be obtained, and then according to the coordinates of the design pointsThe blade height of the leading edge or the trailing edge of the blade can be calculated, and finally the average value of the blade height and the blade height is the blade height of the blade cascade, when the axial chord length is known, the estimated value of the number of the blades is required to be obtained, the blade cascade pitch s is required to be obtained, the Zweifel coefficient is adopted to calculate the blade cascade relative pitch, and when the axial chord length b is known, the blade cascade pitch s can be obtained. The blade number calculation method comprises the following steps: />And can find the relative pitch of the blade: />From the given axial chord length, the pitch can be determined, and then from + ->The number of blades is obtained, working media to be calculated are selected from the beginning part of the physical module, the file name of the working media is stored in an array hf, a FLASH subprogram is generally adopted for calling the physical subprogram, a loss model module is added into a thermal design platform 2, the thermal design module is combined to test the given initial total static efficiency, and an error of 0.01% is given.
The physical property calling module introduces a mixed working medium file with a fluid file with a suffix of fld and a mixed working medium file with a suffix of mix into a program root directory by calling a refpro database issued by the national institute of standards and technology, the calling method of the physical property module comprises program initialization and calling of physical property subprograms, and the initialization method comprises a pure working medium initial method:
i=1
hf (1) = 'co2.Fld' (carbon dioxide for example)
hfmix='hmx.bnc'
hrf='DEF'
call SETUP(i,hf,hfmix,hrf,ierr,herr)
if(ierr.ne.0)write(*,*)herr
The initialization method of the mixed working medium comprises the following steps:
nc=3 (taking air as an example)
hf(1)='nitrogen.fld'
hf(2)='argon.fld'
hf(3)='oxygen.fld'
hfmix='hmx.bnc'
hrf='DEF'
call SETUP(nc,hf,hfmix,hrf,ierr,herr)
if(ierr.ne.0)write(*,*)herr
x(1)=.7812d0
x(2)=.0092d0
x(3)=.2096d0
The optimization algorithm is an algorithm with strong global property and parallel capability, solves the problems of multiple extremum, local optimal solution and the like of the traditional optimization algorithm, does not influence the relation between design parameters, and is a very common optimization means in the field of impeller machinery at present as a classical optimization algorithm.
The supercritical carbon dioxide working medium axial flow turbine design method comprises the following steps:
s1: building a thermodynamic design platform 2 on the basis of the MULTALL program 1 by adopting the Fortran language;
s2: inputting design parameters on the basis of S1, initializing eta ts, performing turbine thermodynamic calculation, and calling NIST physical property database to obtain physical property parameters of thermodynamic calculation in a thermodynamic analysis stage;
s3: on the basis of S2, checking given initial total static efficiency through a loss model module and a thermal design module, giving an error of 0.01%, and if the error is out of the error range, assigning the total static efficiency again for iterative calculation;
s4: on the basis of S3, determining whether eta ts converges, if not, updating eta ts, initializing eta ts and repeating calculation;
s5: on the basis of S4, if eta ts converges, judging whether the eta ts meets the termination condition, if not, inputting the design parameters again by the genetic algorithm, repeating the steps until the eta ts meets the termination condition, outputting the result and terminating the operation;
s6: and on the basis of S5, displaying the numerical value obtained by the thermal design platform 2 on a user interface (3), thereby realizing man-machine interaction.
In summary, the thermodynamic design platform 2 comprises a thermodynamic calculation module, a physical property calling module, a loss model module and an optimization algorithm module, the thermodynamic calculation module can obtain the circumferential speed and the radius of the movable blades, the blade height and the number of the blades can be determined, the physical property calling module can obtain physical property parameters of the working media, the loss model module is combined with the thermodynamic design module to test given initial total static efficiency, and given 0.01% of errors, the optimization algorithm module solves the problems of multiple extremum, local optimal solution and the like of the traditional optimization algorithm, and the output end of the thermodynamic design platform 2 is connected with the input end of the thermodynamic design platform 2 through signals of the MULTALL program 1, so that the result meeting the termination condition can be obtained, and the reference can be provided for designing supercritical carbon dioxide axial flow turbines with different powers.
The present invention is not limited to the above-mentioned embodiments, and any person skilled in the art, based on the technical solution of the present invention and the inventive concept thereof, can be replaced or changed within the scope of the present invention.

Claims (2)

1. The supercritical carbon dioxide working medium axial flow turbine design system comprises a MULTALL program (1), a supercritical carbon dioxide axial flow turbine thermal design platform (2) and a user interface (3), and is characterized in that: the output end of the MULTALL program (1) and the input end of the supercritical carbon dioxide axial flow turbine thermodynamic design platform (2)The system is characterized in that the output end of the supercritical carbon dioxide axial flow turbine thermal design platform (2) is in signal connection with the input end of the user interface (3), and the system is also characterized in that: the supercritical carbon dioxide axial flow turbine thermodynamic design platform (2) comprises a thermodynamic calculation module, a physical property calling module, a loss model module and an optimization algorithm module, wherein the supercritical carbon dioxide axial flow turbine thermodynamic design platform (2) is built on the basis of a MULTALL program (1) by adopting the Fortran language, and in the thermodynamic design process, ideal enthalpy drop delta h of acting of a turbine can be obtained after inlet and outlet parameters are known stotal Secondly, obtaining the enthalpy drop delta h of each stage according to the initial total static efficiency and the method for equally distributing the enthalpy drops of the stages s The blade peripheral speed U can then be deduced from the load factor definition, and then fromThe design point radius R is deduced hub Considering the flow area of a fluid as annular, an expression for the flow area can be derived: />Secondly, according to the coordinates of the design points and the included angle between the through-flow interface and the axial direction, the coordinates of the design points of the inlet and outlet of the blade grids of the hub and the blade top can be obtained, and then according to ∈ ->The blade height of the leading edge or the trailing edge of the blade can be calculated, and finally, the average value of the blade height and the blade height is the blade height of the blade cascade, when the axial chord length is known, the estimated value of the blade quantity is required to be obtained, the blade cascade pitch s is calculated by adopting Zweifel coefficients, when the axial chord length b is known, the blade cascade pitch s can be obtained, and the blade quantity calculating method is as follows:and can find the relative pitch of the blade:from a given axial directionAfter the chord length, the pitch can be determined, and the pitch is further determined by +.>The number of blades was determined.
2. The supercritical carbon dioxide working fluid axial flow turbine design method according to claim 1, characterized by the steps of:
s1: building a supercritical carbon dioxide axial flow turbine thermodynamic design platform (2) on the basis of a MULTALL program (1) by adopting a Fortran language;
s2: on the basis of S1, inputting design parameters and initializing eta ts The method comprises the steps of firstly, performing turbine thermodynamic calculation, and calling NIST physical property database to obtain physical property parameters of thermodynamic calculation in a thermodynamic analysis stage;
s3: on the basis of S2, checking given initial total static efficiency through a loss model module and a thermal design module, giving an error of 0.01%, and if the error is out of the error range, assigning the total static efficiency again for iterative calculation;
s4: on the basis of S3, determining eta ts Whether or not to converge, if not, updating eta ts Initializing eta ts And repeating the calculation;
s5: on the basis of S4, if eta ts Converging, judging whether the system meets the termination condition or not, if not, inputting the design parameters again by the genetic algorithm, repeating the steps until the system meets the termination condition, outputting the result and terminating the operation;
s6: and on the basis of S5, displaying the numerical value obtained by the supercritical carbon dioxide axial flow turbine thermodynamic design platform (2) on a user interface (3), thereby realizing man-machine interaction.
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JP2007056824A (en) * 2005-08-26 2007-03-08 Toshiba Corp Stationary blade and moving blade for axial flow turbine, and axial flow turbine provided with same
WO2010000229A2 (en) * 2008-07-04 2010-01-07 Man Turbo Ag Blade cascade for a flow engine and flow engine comprising said blade cascade
CN107634745A (en) * 2017-09-26 2018-01-26 电子科技大学 A kind of grid discharge and recharge for gated device adjusts circuit
CN109508851A (en) * 2018-09-05 2019-03-22 西安交通大学 A kind of small-sized lead base heap supercritical carbon dioxide cycle generating system comprehensive performance evaluation method
CN111881618A (en) * 2020-07-06 2020-11-03 西安交通大学 Supercritical CO2Brayton cycle coupling optimization method, storage medium, and device
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