CN116882137A - Multi-working-condition multi-objective optimization method for nuclear power thermodynamic system - Google Patents

Multi-working-condition multi-objective optimization method for nuclear power thermodynamic system Download PDF

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CN116882137A
CN116882137A CN202310749954.1A CN202310749954A CN116882137A CN 116882137 A CN116882137 A CN 116882137A CN 202310749954 A CN202310749954 A CN 202310749954A CN 116882137 A CN116882137 A CN 116882137A
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optimization
nuclear power
thermodynamic system
thermodynamic
parameters
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杨亚婷
闫超星
王浩
张翼
刘成洋
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China Ship Development and Design Centre
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China Ship Development and Design Centre
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00Details relating to CAD techniques
    • G06F2111/06Multi-objective optimisation, e.g. Pareto optimisation using simulated annealing [SA], ant colony algorithms or genetic algorithms [GA]
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/08Thermal analysis or thermal optimisation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/14Force analysis or force optimisation, e.g. static or dynamic forces

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  • Theoretical Computer Science (AREA)
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  • General Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Monitoring And Testing Of Nuclear Reactors (AREA)

Abstract

A multi-working condition and multi-target optimization method for a nuclear power thermodynamic system relates to the field of power optimization. The multi-working condition and multi-target optimizing method of the nuclear power thermodynamic system comprises the following steps: establishing an equipment model of the nuclear power thermodynamic system; constructing a system model according to the input parameters and the output parameters of each device, and using the system model to finish steady-state calculation of the thermodynamic system under the rated working condition and the specified working condition to obtain the system efficiency, the weight and the volume of the thermodynamic system; carrying out single parameter sensitivity analysis, analyzing the influence of different thermodynamic parameters and structural parameters on a thermodynamic system, and selecting proper optimization parameters as optimization variables; and (3) embedding an optimization algorithm in the system model, and carrying out multi-objective optimization analysis to obtain a relatively optimal solution of the optimization variable. The multi-working-condition multi-target optimization method of the nuclear power thermodynamic system can theoretically prove the feasibility of the nuclear power thermodynamic system optimization, and provides technical guiding basis for the actual engineering design of the nuclear power thermodynamic system.

Description

Multi-working-condition multi-objective optimization method for nuclear power thermodynamic system
Technical Field
The application relates to the field of power optimization, in particular to a multi-working-condition multi-target optimization method of a nuclear power thermodynamic system.
Background
The efficiency, weight and volume of the nuclear power system are important indexes for evaluating the design level of the nuclear power system, and under the development trend of high power and high propulsion speed of the ship nuclear power system, the weight and volume of the nuclear power system are further increased, so that great difficulty is brought to the design and installation of the nuclear power equipment, and the overall performance of the nuclear power system and the maneuverability of the ship are seriously affected. Under the condition of the same output power, the reduction of the size and weight of the nuclear power system is beneficial to improving the navigational speed and the vitality of the device, and can save special materials, reduce the cost and the construction period.
With the advancement of computer technology and the development of optimization theory in recent years, various computer programs can be used to accurately predict and simulate various operating conditions of a nuclear power system, and the optimization design theory and method can also be applied to the design of the nuclear power system. Therefore, the simulation of the working condition of the nuclear power thermodynamic system by using the computer model has important guiding significance for the actual engineering design of the nuclear power thermodynamic system.
Disclosure of Invention
The application aims to provide a multi-working-condition multi-target optimization method for a nuclear power thermodynamic system, which can theoretically prove the feasibility of the optimization of the nuclear power thermodynamic system and provides a technical guiding basis for the actual engineering design of the nuclear power thermodynamic system.
The application is realized in the following way:
the application provides a multi-working-condition multi-target optimization method of a nuclear power thermodynamic system, which comprises the following steps of:
establishing an equipment model of the nuclear power thermodynamic system;
according to a schematic diagram of the nuclear power thermodynamic system, the coupling mode and interface relation of each device in the nuclear power thermodynamic system are defined, the input parameters and the output parameters of each device are coupled, a system model is built on the basis of the device model, steady state calculation of the thermodynamic system under rated working conditions and specified working conditions is completed by using the system model, and the system efficiency, weight and volume of the thermodynamic system are obtained;
carrying out single parameter sensitivity analysis, analyzing the influence of different thermodynamic parameters and structural parameters on the system efficiency, weight and size of the thermodynamic system, and selecting proper optimization parameters as optimization variables of subsequent optimization analysis;
and embedding an optimization algorithm in the system model, and carrying out multi-objective optimization analysis by taking system efficiency, weight and volume as optimization targets to obtain a relatively optimal solution of the optimization variables.
In some alternative embodiments, the apparatus comprises a steam generator, a steam turbine, a turbine pump, a heat exchanger.
In some alternative embodiments, when a plant model of a nuclear power thermodynamic system is created, thermodynamic calculations, structural design calculations, hydraulic calculations, resistance calculations, strength calculations, weight estimations, and volume estimations are performed on the plant, thereby creating the plant model.
In some alternative embodiments, after the device model of the nuclear power thermodynamic system is established, the accuracy of the device model is verified based on the master model parameters of the device.
In some optional embodiments, the optimization targets are set for the rated working conditions to be the system efficiency, weight and size, a weighting method is adopted to set an objective function, after the rated working conditions are optimized, the parameter variable of the optimized equipment structure is used as a given variable in the process of optimizing other working conditions, and the system efficiency optimization under other working conditions is carried out by adjusting the system and the relevant parameters of the equipment operation.
In some alternative embodiments, safety constraints, performance constraints, structural constraints are used in performing multi-objective optimization analysis with system efficiency, weight, and volume as optimization objectives.
In some alternative embodiments, where safety constraints, performance constraints, structural constraints are used, the constraints include steam generator cycle rate, steam generator cycle speed, steam yield, total number of heat transfer tubes, total heat transfer area, tube bundle diameter, average diameter difference of turbine conditioning stage to first pressure stage, turbine conditioning stage ideal speed ratio, partial admission of turbine conditioning stage nozzles, final diameter ratio, condenser shell aspect ratio, number of cooling tubes, total flow resistance of cooling water, steam resistance, condensate subcooling.
The beneficial effects of the application are as follows: the multi-working-condition multi-target optimization method of the nuclear power thermodynamic system provided by the application comprises the following steps of: establishing an equipment model of the nuclear power thermodynamic system; according to a schematic diagram of the nuclear power thermodynamic system, the coupling mode and interface relation of each device in the nuclear power thermodynamic system are defined, the input parameters and the output parameters of each device are coupled, a system model is built on the basis of the device model, steady-state calculation of the thermodynamic system under the rated working condition and the specified working condition is completed by using the system model, and the system efficiency, the weight and the volume of the thermodynamic system are obtained; carrying out single parameter sensitivity analysis, analyzing the influence of different thermodynamic parameters and structural parameters on the system efficiency, weight and size of the thermodynamic system, and selecting proper optimization parameters as optimization variables of subsequent optimization analysis; and (3) embedding an optimization algorithm in the system model, and carrying out multi-objective optimization analysis by taking the system efficiency, weight and volume as optimization targets to obtain a relatively optimal solution of the optimization variable. The multi-working-condition multi-target optimization method of the nuclear power thermodynamic system provided by the application can theoretically prove the feasibility of the optimization of the nuclear power thermodynamic system by carrying out multi-target optimization analysis of the efficiency, the weight and the volume of the nuclear power thermodynamic system under the rated working condition and the optimization analysis of the thermodynamic system under other working conditions, and provides a technical guiding basis for the actual engineering design of the nuclear power thermodynamic system.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present application, the drawings that are needed in the embodiments will be briefly described below, it being understood that the following drawings only illustrate some embodiments of the present application and therefore should not be considered as limiting the scope, and other related drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a schematic flow chart of a multi-condition and multi-objective optimization method of a nuclear power thermodynamic system according to an embodiment of the present application;
FIG. 2 is a schematic flow chart of modeling a steam generator in a multi-condition and multi-objective optimization method of a nuclear power thermodynamic system according to an embodiment of the present application;
FIG. 3 is a schematic flow chart of modeling a nuclear power system model in a multi-condition and multi-objective optimization method of a nuclear power thermodynamic system according to an embodiment of the present application.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the embodiments of the present application more apparent, the technical solutions of the embodiments of the present application will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present application, and it is apparent that the described embodiments are some embodiments of the present application, but not all embodiments of the present application.
Thus, the following detailed description of the embodiments of the application, as presented in the figures, is not intended to limit the scope of the application, as claimed, but is merely representative of selected embodiments of the application. All other embodiments, which can be made by those skilled in the art based on the embodiments of the application without making any inventive effort, are intended to be within the scope of the application.
The characteristics and performances of the multi-working condition and multi-objective optimization method of the nuclear power thermodynamic system of the application are described in further detail below with reference to the examples.
As shown in fig. 1, the application provides a multi-working-condition multi-objective optimization method of a nuclear power thermodynamic system, which comprises the following steps:
step one, establishing an equipment model of a nuclear power thermodynamic system; based on the operation mechanism of each device of the nuclear power thermodynamic system and the coupling influence among each device, thermodynamic calculation, structural design calculation, resistance calculation, strength calculation, weight estimation and volume estimation are carried out on the devices by combining the principles of thermodynamics, heat transfer science, hydrodynamics and related laws, and a mathematical model describing the actual operation process of the nuclear power system device is established; the equipment comprises a steam generator, a steam turbine, a turbine pump, a heat exchanger and the like.
Taking a steam generator as an example, the modeling flow is shown in fig. 2, firstly, known parameters of the steam generator are input to carry out thermal calculation, and then hydraulic calculation, structural design, strength calculation, weight estimation and volume estimation are sequentially carried out. The thermodynamic calculation comprises the assumption of the temperature, the heat flux density of a heat preheating section, the heat flux density of a cold preheating section and the heat flux density of a boiling section after the recycled water and the feed water are mixed; in the hydraulic calculation, a curve of the total secondary side circulation resistance and the change of the circulation pressure head along with the circulation multiplying power is made by using a drawing method, and the abscissa value corresponding to the intersection point of the two curves is the circulation multiplying power value of the steam generator, if the circulation multiplying power value of the steam generator is inconsistent with the assumed circulation multiplying power value, iterative calculation is needed; finally, checking the given thermal and structural parameters such as steam yield, heat transfer area, circulation multiplying power, descending space height, upper cylinder outer diameter and the like of the steam generator, and if the relative error is large, adjusting relevant parameters such as dirt heat resistance, surface heat transfer coefficient empirical correlation, empirical coefficient and the like and recalculating.
Step two, modeling a nuclear power system model; according to a schematic diagram of the nuclear power thermodynamic system, the coupling mode and interface relation of each device in the nuclear power thermodynamic system are defined, the input parameters and the output parameters of each device are coupled, the modeling of a nuclear power system model of a rated working condition and a specified working condition is completed, a system model building flow chart is shown in fig. 3, firstly, the power of a loop reactor under the rated working condition or the specified working condition is assumed, the system efficiency under the working condition is obtained according to the working condition requirement, the system efficiency under the working condition is checked through a complete calculation program of the system, if the deviation is larger, the calculation is iterated, otherwise, the calculation of the efficiency, the weight and the volume is completed, and the system optimization target value is obtained;
step three, developing single parameter sensitivity analysis to select optimized parameters; analyzing the performance indexes such as efficiency, weight, volume and the like under the typical working conditions of the system in the process of transferring the nuclear power thermal power system to the two loops by utilizing a system model, changing a certain independent design variable under the condition of keeping other variables unchanged, and observing the change condition of the system efficiency, weight, volume and the like along with the design variable; according to the sensitivity analysis result, reducing the dimension of the optimized variable, and selecting parameters with larger influence on the optimization target as subsequent optimized variables;
and fourthly, performing multi-objective optimization analysis by using a nested optimization algorithm in the system model with system efficiency, weight and volume as optimization targets, and obtaining a relatively optimal solution of the optimization variables. In the completed thermodynamic system model, a nested optimization algorithm implements system optimization. Because the weight and the volume of the system are determined according to the rated working condition, the optimization target is set for the efficiency, the weight and the volume of the system aiming at the rated working condition, and a weighting method is adopted to set an objective function; after the rated working condition optimization is completed, the optimized variables such as the structural parameters of the equipment are used as given variables in the process of optimizing other working conditions, and the system efficiency optimization under other working conditions is carried out by adjusting the relevant parameters of the system and the equipment operation under the condition of the rated working condition optimization. And during optimization, determining constraint conditions according to the operation requirements, performance constraints and structural requirements of the system. Constraints can be divided into two broad categories, one being the own constraints of each constituent device and the other being constraints from a system perspective. The constraint conditions mainly comprise: the steam generator comprises a circulation multiplying power, a circulation speed, steam yield, total numbers of heat transfer tubes, total heat transfer area and tube bundle diameter, wherein the difference value between the average diameter of a regulating stage and the average diameter of a first pressure stage of a steam turbine, the ideal speed ratio of the regulating stage, the steam inlet degree of a nozzle part of the regulating stage and the final diameter-to-height ratio of the regulating stage are calculated, and the length-diameter ratio of a condenser shell, the number of cooling tubes, the total flow resistance of cooling water, the steam resistance and the supercooling degree of condensed water are calculated.
The multi-working-condition multi-objective optimization method for the nuclear power thermodynamic system provided by the embodiment of the application is based on an optimization algorithm on the basis of establishing a mathematical model of the nuclear power thermodynamic system, and can be used for carrying out multi-objective optimization analysis on the efficiency, weight and volume of the nuclear power thermodynamic system under rated working conditions and efficiency optimization analysis on the thermodynamic system under other working conditions, thereby proving the feasibility of the optimization of the nuclear power thermodynamic system in theory and providing technical guiding basis for the actual engineering design of the nuclear power thermodynamic system.
The embodiments described above are some, but not all embodiments of the application. The detailed description of the embodiments of the application is not intended to limit the scope of the application, as claimed, but is merely representative of selected embodiments of the application. All other embodiments, which can be made by those skilled in the art based on the embodiments of the application without making any inventive effort, are intended to be within the scope of the application.

Claims (7)

1. The multi-working-condition multi-target optimizing method for the nuclear power thermodynamic system is characterized by comprising the following steps of:
establishing an equipment model of the nuclear power thermodynamic system;
according to a schematic diagram of the nuclear power thermodynamic system, the coupling mode and interface relation of each device in the nuclear power thermodynamic system are defined, the input parameters and the output parameters of each device are coupled, a system model is built on the basis of the device model, steady state calculation of the thermodynamic system under rated working conditions and specified working conditions is completed by using the system model, and the system efficiency, weight and volume of the thermodynamic system are obtained;
carrying out single parameter sensitivity analysis, analyzing the influence of different thermodynamic parameters and structural parameters on the system efficiency, weight and size of the thermodynamic system, and selecting proper optimization parameters as optimization variables of subsequent optimization analysis;
and embedding an optimization algorithm in the system model, and carrying out multi-objective optimization analysis by taking system efficiency, weight and volume as optimization targets to obtain a relatively optimal solution of the optimization variables.
2. The method of claim 1, wherein the plant comprises a steam generator, a steam turbine, a turbine pump, and a heat exchanger.
3. The method for optimizing a nuclear power thermodynamic system according to claim 1, wherein when an equipment model of the nuclear power thermodynamic system is established, thermodynamic calculation, structural design calculation, hydraulic calculation, resistance calculation, strength calculation, weight estimation and volume estimation are performed on equipment, so that the equipment model is established.
4. The multi-condition and multi-objective optimization method of a nuclear power thermodynamic system according to claim 1, wherein after the equipment model of the nuclear power thermodynamic system is established, the accuracy of the equipment model is checked and verified based on the master type parameters of the equipment.
5. The multi-working-condition multi-objective optimization method of the nuclear power thermodynamic system according to claim 1, wherein the optimization targets are set for the system efficiency, the weight and the size aiming at the rated working condition, an objective function is set by adopting a weighting method, after the rated working condition optimization is completed, the parameter variable of the optimized equipment structure is used as a given variable in the other working condition optimization, and the system efficiency optimization under the other working conditions is carried out by adjusting the relevant parameters of the system and the equipment operation.
6. The multi-condition multi-objective optimization method of the nuclear power thermodynamic system according to claim 1, wherein safety constraints, performance constraints and structural constraints are used for constraint when multi-objective optimization analysis is carried out by taking system efficiency, weight and volume as optimization targets.
7. The method of claim 6, wherein the constraint conditions include a steam generator circulation rate, a steam generator circulation speed, a steam yield, a total number of heat transfer tubes, a total heat transfer area, a tube bundle diameter, a difference between an average diameter of a turbine adjusting stage and an average diameter of a first pressure stage, an ideal speed ratio of the turbine adjusting stage, a partial steam inlet of a nozzle of the turbine adjusting stage, a final diameter-to-height ratio, a length-to-diameter ratio of a condenser shell, a number of cooling tubes, a total flow resistance of cooling water, a steam resistance, and a supercooling degree of condensed water.
CN202310749954.1A 2023-06-21 2023-06-21 Multi-working-condition multi-objective optimization method for nuclear power thermodynamic system Pending CN116882137A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117371239A (en) * 2023-11-01 2024-01-09 北京理工大学 Rapid optimization method for performance and volume coupling of power system

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117371239A (en) * 2023-11-01 2024-01-09 北京理工大学 Rapid optimization method for performance and volume coupling of power system
CN117371239B (en) * 2023-11-01 2024-05-17 北京理工大学 Rapid optimization method for performance and volume coupling of power system

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