Method and device for acquiring few-group homogenized cross section under continuous state parameters

Abstract

The embodiment of the invention discloses a method and a device for acquiring a few-group homogenized cross section under continuous state parameters, and relates to the technical field of nuclear reactors, the method comprises the following steps: acquiring a plurality of first few-group homogenized cross sections corresponding to a plurality of discrete state parameters, the first few-group homogenized cross sections being different from the first few-group homogenized cross sections under the corresponding discrete state parameters, and the second few-group homogenized cross sections being different from the first few-group homogenized cross sections under the corresponding discrete state parameters; a few-group homogenization cross section of the target component of the nuclear reactor under the target energy group; determining a section matrix according to the plurality of discrete state parameters and the plurality of first few-group homogenized sections; performing intrinsic orthogonal decomposition on the section matrix to obtain a decomposition result; and performing parameterization processing on the decomposition result, and determining a second few-group homogenization cross section under the continuous state parameters. According to the method, parameterization processing is carried out on the decomposition results, and the number of the decomposition results is far smaller than that of the energy groups, so that the calculation amount of parameterization of the cross section in the fast neutron reactor can be reduced, and the acquisition efficiency of the few-group homogenized cross section under the continuous state parameters is further improved.

Description

Technical Field

[0001] The present application relates to the field of nuclear reactor technology, and in particular to a method and device for obtaining a small group homogenized cross section under continuous state parameters. Background Art

[0002] In the neutronics of reactor cores, various nuclear reaction cross-section parameters can usually be regarded as functions of incident neutron energy. In design, a two-step design process is generally adopted. First, a fine energy and geometric model is used to obtain a small group homogenized cross section under discrete state parameters. Then, the small group homogenized cross section is interpolated or fitted back at the core level to realize the feedback effect calculation of any state parameter, thereby obtaining various design data. The process of making the small group homogenized cross section under discrete conditions continuous and obtaining the corresponding small group homogenized cross section according to the actual state is called cross section parameterization. The small group homogenized cross section obtained in the cross section parameterization process is the small group homogenized cross section under continuous state parameters. However, in the process of obtaining the small group homogenized cross section under continuous state parameters in the current related technology of fast neutron reactors, it is necessary to repeatedly process each cross section under each energy group. The number of energy groups corresponding to fast neutron reactors is usually dozens of groups, and the acquisition efficiency is low in the process of obtaining the small group homogenized cross section under continuous state parameters.

[0003] Application Contents

[0004] In view of this, one of the objectives of the present application is to provide a method and device for obtaining a small group of uniform cross sections under continuous state parameters, which can improve the efficiency of obtaining a small group of uniform cross sections under continuous state parameters.

[0005] To achieve the above purpose, the technical solution of this application is implemented as follows:

[0006] In a first aspect, an embodiment of the present application provides a method for obtaining a small group homogenized cross section under a continuous state parameter, the method comprising:

[0007] Acquire a plurality of first few-group homogenized cross sections corresponding to a plurality of discrete state parameters, wherein the first few-group homogenized cross sections are the few-group homogenized cross sections of the target component of the nuclear reactor under the target energy group under the corresponding discrete state parameters;

[0008] Determining a cross-section matrix according to a plurality of discrete state parameters and a plurality of first few-group homogenized cross-sections;

[0009] Perform intrinsic orthogonal decomposition on the cross-section matrix to obtain the decomposition result;

[0010] The decomposition result is parameterized to determine the second small group homogenized cross section under the continuous state parameter, where the second small group homogenized cross section is the small group homogenized cross section of the target component under the target energy group under the corresponding continuous state parameter.

[0011] In a possible implementation, the decomposition result includes an intrinsic orthogonal basis and intrinsic orthogonal expansion coefficients of the cross-section matrix;

[0012] The decomposition results are parameterized to determine the second minority group homogenized cross section under the continuous state parameters, including:

[0013] Parameterize the decomposition results to determine the changing relationship between the intrinsic orthogonal expansion coefficients and multiple discrete state parameters;

[0014] According to the intrinsic orthogonal basis and the variation relationship, the second minority group homogenization cross section under the continuous state parameters is determined.

[0015] In a possible implementation, parameterization is performed on the decomposition result to determine the change relationship between the intrinsic orthogonal expansion coefficient and a plurality of discrete state parameters, including:

[0016] Determine a target eigenorthogonal expansion coefficient from all eigenorthogonal expansion coefficients;

[0017] The target intrinsic orthogonal expansion coefficient is parameterized to determine the variation relationship between the target intrinsic orthogonal expansion coefficient and a plurality of discrete state parameters.

[0018] In a possible implementation, the decomposition result includes an eigenvalue, and determining a target eigenorthogonal expansion coefficient from all eigenorthogonal expansion coefficients includes:

[0019] Get the arrangement relationship of all eigenvalues;

[0020] The eigenorthogonal expansion coefficients corresponding to the first K eigenvalues ​​in the arrangement relationship are used as target eigenorthogonal expansion coefficients, where K is a positive integer.

[0021] In a possible implementation, parameterization is performed on the decomposition result to determine the change relationship between the intrinsic orthogonal expansion coefficient and a plurality of discrete state parameters, including:

[0022] Parameterizing the target intrinsic orthogonal expansion coefficient according to a preset parameterization strategy to determine the variation relationship between the intrinsic orthogonal expansion coefficient and a plurality of discrete state parameters;

[0023] The preset parameterization strategy includes any one of polynomial fitting and interpolation.

[0024] In a second aspect, an embodiment of the present application provides a device for obtaining a small group of homogenized cross sections under a continuous state parameter, the device comprising:

[0025] An acquisition module, used for acquiring a plurality of first few-group homogenized cross sections corresponding to a plurality of discrete state parameters, wherein the first few-group homogenized cross sections are the few-group homogenized cross sections of a target component of a nuclear reactor under a target energy group under corresponding discrete state parameters;

[0026] A first determination module is used to determine a cross-section matrix according to a plurality of discrete state parameters and a plurality of first small-group homogenized cross-sections;

[0027] A processing module is used for performing intrinsic orthogonal decomposition on the cross-section matrix to obtain a decomposition result;

[0028] The second determination module is used to perform parameterization processing on the decomposition result to determine a second small group homogenized cross section under the continuous state parameter, where the second small group homogenized cross section is a small group homogenized cross section of the target component under the target energy group under the corresponding continuous state parameter.

[0029] In a possible implementation, the decomposition result includes an intrinsic orthogonal basis and an intrinsic orthogonal expansion coefficient of the cross-section matrix, and the second determination module is further used for:

[0030] Parameterize the decomposition results to determine the changing relationship between the intrinsic orthogonal expansion coefficients and multiple discrete state parameters;

[0031] According to the intrinsic orthogonal basis and the variation relationship, the second minority group homogenization cross section under the continuous state parameters is determined.

[0032] In a third aspect, an embodiment of the present application provides an electronic device, the electronic device comprising a memory and a processor, the memory storing a computer program, and when the computer program is executed by the processor, the method for homogenizing a small group of cross sections under continuous state parameters provided in the first aspect is implemented.

[0033] In a fourth aspect, an embodiment of the present application provides a computer-readable storage medium, on which a computer program is stored. When the computer program is executed by one or more processors, the method for obtaining a small group of homogenized cross sections under continuous state parameters provided in the first aspect is implemented.

[0034] In a fifth aspect, an embodiment of the present application provides a computer program product, which includes a computer program. When the computer program is executed by one or more processors, it implements the method for obtaining a small group of homogenized cross sections under continuous state parameters provided in the first aspect.

[0035] The method for obtaining a small group of homogenized cross sections under a continuous state parameter provided in an embodiment of the present application can obtain multiple first small group homogenized cross sections corresponding to multiple discrete state parameters, and the first small group homogenized cross section is a small group homogenized cross section of a target component of a nuclear reactor under a target energy group under the corresponding discrete state parameters. Then, according to the multiple discrete state parameters and the multiple first small group homogenized cross sections, a cross section matrix is ​​determined, and the cross section matrix is ​​subjected to intrinsic orthogonal decomposition to obtain a decomposition result. Finally, the decomposition result is parameterized to determine a second small group homogenized cross section under a continuous state parameter, and the second small group homogenized cross section is a small group homogenized cross section of a target component under a target energy group under the corresponding continuous state parameter. The present application can reduce the amount of calculation for cross section parameterization in a fast neutron reactor by parameterizing the decomposition result, and the number of decomposition results is much smaller than the number of energy groups, thereby improving the acquisition efficiency of a small group of homogenized cross sections under continuous state parameters. BRIEF DESCRIPTION OF THE DRAWINGS

[0036] In order to more clearly illustrate the embodiments of the present application or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. It should be understood that the drawings described below are only some embodiments of the present application. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative work.

[0037] Figure 1 A flowchart of a method for obtaining a small group of homogenized cross sections under a continuous state parameter provided in an embodiment of the present application;

[0038] Figure 2 A schematic diagram of functional modules of a device for acquiring a small group of homogenized cross sections under a continuous state parameter provided in an embodiment of the present application;

[0039] Figure 3 A diagram of the internal structure of an electronic device provided in an embodiment of the present application.

[0040] Description of reference numerals:

[0041] An acquisition device 200 for a few-group homogenized cross section under continuous state parameters includes an acquisition module 210 , a first determination module 220 , a processing module 230 , and a second determination module 240 . DETAILED DESCRIPTION

[0042] In order to make the purpose, technical solution and advantages of the embodiments of the present application clearer, the technical solution in the embodiments of the present application will be clearly and completely described below in conjunction with the drawings in the embodiments of the present application. Obviously, the described embodiments are part of the embodiments of the present application, rather than all the embodiments. The components of the embodiments of the present application described and shown in the drawings here can be arranged and designed in various different configurations.

[0043] Therefore, the following detailed description of the embodiments of the present application provided in the accompanying drawings is not intended to limit the scope of the present application for which protection is sought, but merely represents selected embodiments of the present application. Based on the embodiments in the present application, all other embodiments obtained by ordinary technicians in the field without creative work are within the scope of protection of the present application.

[0044] It should be noted that similar reference numerals and letters denote similar items in the following drawings, and therefore, once an item is defined in one drawing, further definition and explanation thereof is not required in subsequent drawings.

[0045] In various embodiments of the present application, the expression "or" or "at least one of A or / and B" includes any combination or all combinations of the words listed at the same time. For example, the expression "A or B" or "at least one of A or / and B" may include A, may include B, or may include both A and B.

[0046] In the description of the present application, it should be noted that if the terms "upper", "lower", "inside", "outside", etc. appear to indicate an orientation or position relationship, it is based on the orientation or position relationship shown in the drawings, or is the orientation or position relationship in which the product of the invention is usually placed when used. It is only for the convenience of describing the present application and simplifying the description, and does not indicate or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore cannot be understood as a limitation on the present application.

[0047] In addition, the terms “first”, “second”, etc., if used, are merely used to distinguish between the descriptions and should not be understood as indicating or implying relative importance.

[0048] It should be noted that, in the absence of conflict, the features in the embodiments of the present application may be combined with each other.

[0049] Furthermore, in the embodiments of the present application, the term "connection" may refer to "electrical connection" or "direct connection". "Electrical connection" may refer to direct electrical connection between two components or electrical connection between two components via one or more normally open tubes or other components.

[0050] To facilitate a better understanding of the solutions of the embodiments of the present application, the relevant technologies are first introduced below.

[0051] The few-group homogenization cross section is a parameter used to simplify nuclear reactor physics calculations. In a nuclear reactor, neutrons interact with various substances such as nuclear fuel, moderators, and structural materials. The probability of their interaction with a single atomic nucleus can be described by a microscopic cross section, and the probability of their interaction with the entire substance can be described by a macroscopic cross section.

[0052] In the following embodiments of the present application, considering that a nuclear reactor is a very complex system, which contains a large number of different materials and regions, resulting in a very complex relationship between neutron behavior and energy, if a very fine energy variable is directly used, the neutron energy groups involved usually reach several thousand, and the corresponding amount of calculation will be extremely large. To simplify the calculation, the energy range of the entire reactor can be divided into dozens of energy groups, and then the equivalent homogenized cross section of each energy group is determined, which can be used to describe the average interaction probability of neutrons in the energy group in the reactor.

[0053] Energy groups refer to the division of the continuous energy of neutrons in a nuclear reactor into several discrete energy regions. This is because the neutron energy distribution in a nuclear reactor is very wide, such as the span from thermal neutron energy (about 0.025eV) to fast neutron energy (up to several MeV or even higher). In order to facilitate the analysis and calculation of the behavior of neutrons in the reactor, this continuous energy range can be divided into multiple relatively small intervals, and each interval after the division can be called an energy group.

[0054] Section parameterization refers to the process of making the few-group homogenized sections under discrete conditions continuous and obtaining the corresponding few-group homogenized sections according to the actual state.

[0055] In order to solve the technical problems in the background technology, the embodiment of the present application provides a method and device for obtaining a few-group uniform cross section under continuous state parameters. The following first introduces the method for obtaining a few-group uniform cross section under continuous state parameters provided by the embodiment of the present application.

[0056] See also Figure 1 , Figure 1 A flowchart of a method for obtaining a small group of uniform cross sections under a continuous state parameter provided in an embodiment of the present application, the method for obtaining a small group of uniform cross sections under a continuous state parameter can be applied to an acquisition device or electronic device for obtaining a small group of uniform cross sections under a continuous state parameter in the following embodiments, wherein the electronic device includes a personal computer, a server, a mobile device, a cloud computing platform, and a supercomputer, etc. The following will introduce the method for obtaining a small group of uniform cross sections under a continuous state parameter from the perspective of application to an electronic device, and the method for obtaining a small group of uniform cross sections under a continuous state parameter specifically includes the following steps 110 to 140:

[0057] Step 110, obtaining a plurality of first few-group homogenized cross sections corresponding to a plurality of discrete state parameters, wherein the first few-group homogenized cross sections are the few-group homogenized cross sections of the target component of the nuclear reactor under the target energy group under the corresponding discrete state parameters.

[0058] Step 120: determining a cross-section matrix according to a plurality of discrete state parameters and a plurality of first small-group homogenized cross-sections.

[0059] Step 130, performing intrinsic orthogonal decomposition on the cross-section matrix to obtain a decomposition result.

[0060] Step 140 , parameterize the decomposition result to determine a second small group uniform cross section under the continuous state parameter, where the second small group uniform cross section is a small group uniform cross section of the target component under the target energy group under the corresponding continuous state parameter.

[0061] The method for obtaining a small group of homogenized cross sections under a continuous state parameter provided in an embodiment of the present application can obtain multiple first small group homogenized cross sections corresponding to multiple discrete state parameters, and the first small group homogenized cross section is a small group homogenized cross section of a target component of a nuclear reactor under a target energy group under the corresponding discrete state parameters. Then, according to the multiple discrete state parameters and the multiple first small group homogenized cross sections, a cross section matrix is ​​determined, and the cross section matrix is ​​subjected to intrinsic orthogonal decomposition to obtain a decomposition result. Finally, the decomposition result is parameterized to determine a second small group homogenized cross section under a continuous state parameter, and the second small group homogenized cross section is a small group homogenized cross section of a target component under a target energy group under the corresponding continuous state parameter. The present application can reduce the amount of calculation for cross section parameterization in a fast neutron reactor by parameterizing the decomposition result, and the number of decomposition results is much smaller than the number of energy groups, thereby improving the acquisition efficiency of a small group of homogenized cross sections under continuous state parameters.

[0062] The following will be Figure 1 Each step of the method is described in detail.

[0063] In step 110, a plurality of first few groups of uniform cross sections corresponding to a plurality of discrete state parameters are obtained, which may be obtained by the aforementioned electronic device, such as executing an operation of obtaining a plurality of first few groups of uniform cross sections when the electronic device detects that a trigger condition is met.

[0064] In some embodiments, the trigger condition includes that the electronic device receives an acquisition instruction, that is, when the electronic device receives the acquisition instruction, it can perform an acquisition operation of the plurality of first few groups of uniformized cross sections based on the acquisition instruction.

[0065] In some embodiments, the trigger condition includes that the electronic device detects that the current moment is a preset moment, that is, the electronic device can perform an acquisition operation on a first small group of uniformized cross sections when detecting that the current moment is the preset moment.

[0066] The acquisition instruction mentioned above may be manually input. For example, when a plurality of first small group homogenized cross sections need to be acquired, the acquisition instruction may be generated by manually operating on an electronic device.

[0067] The above-mentioned acquisition instructions can also be pre-configured in the electronic device. When it is necessary to obtain multiple first small group homogenized cross sections, the electronic device can be manually operated to directly trigger the acquisition instructions stored in the electronic device. The acquisition instructions are used to instruct the electronic device to perform the corresponding acquisition operations of multiple first small group homogenized cross sections.

[0068] The above-mentioned discrete state parameters refer to variables or parameters with discrete and discontinuous values, which can usually only take a finite number of values ​​and do not belong to any value within a continuous interval. Discrete state parameters can also be called discrete operating parameters. For example, in a nuclear reactor, discrete state parameters may include at least one of fuel temperature and coolant density.

[0069] The above-mentioned target component is any component required in the reactor core design calculation. In some embodiments, the components required for the reactor core design calculation may include at least one of a fuel assembly, a control rod assembly, and a reflector assembly.

[0070] The above-mentioned target energy group is a number of discrete energy regions formed by dividing the continuous energy of neutrons in a nuclear reactor, or can be understood as all energy groups formed by dividing the continuous energy of neutrons in a nuclear reactor.

[0071] The above-mentioned first small group homogenized cross section is a kind of the small group homogenized cross sections mentioned above. The first small group homogenized cross section can be regarded as a small group homogenized cross section corresponding to the discrete state parameter and the target component, or the first small group homogenized cross section can also be regarded as a small group homogenized cross section under a discrete state parameter.

[0072] Specifically, the first small group homogenized cross section may include any one of a total cross section, a fission cross section, a neutron production cross section and a scattering cross section, and the first small group homogenized cross section may be a microscopic cross section or a macroscopic cross section.

[0073] The total cross section above indicates the total probability of various interactions (including scattering, absorption, etc.) between neutrons and atomic nuclei. The fission cross section indicates the probability of neutrons inducing fission reactions in fissile nuclides. The neutron production cross section indicates the probability of producing neutrons per unit time and per unit incident neutron flux in a specific nuclear reaction process. It can be used to measure the ability to produce new neutrons in a nuclear reaction. The scattering cross section indicates the probability of scattering interactions between neutrons and atomic nuclei.

[0074] In step 120 , when the plurality of discrete state parameters and the plurality of first few groups of uniformized cross sections have been determined in the aforementioned embodiment, the electronic device may further determine a cross section matrix.

[0075] The cross-section matrix includes multiple first small group homogenized cross-sections, which can be first small group homogenized cross-sections of different discrete state parameters under the target energy group. The cross-section matrix can be used to integrate the first small group homogenized cross-sections of different discrete state parameters under the target energy group, and can intuitively reflect the corresponding relationship between the first small group homogenized cross-section and the discrete state parameter corresponding to any energy group.

[0076] Specifically, each column in the cross-section matrix represents the first small group uniform cross-section of different discrete state parameters under the target energy group. The difference between different columns can reflect the influence of the discrete state parameters corresponding to any energy group on the first small group uniform cross-section, which is beneficial for electronic equipment to analyze the law of change of the first small group uniform cross-section with discrete state parameters, and provide a data basis for the decomposition and parameterization processing in subsequent steps.

[0077] To facilitate understanding of the cross-section matrix in this embodiment, an example is given below for illustration:

[0078] Taking the discrete state parameters including the fuel temperature Tf and the coolant density Dm as an example, the electronic device can obtain the first small group homogenized cross section Σireg,g(Tf i ,Dm j ), i=1,2,…,I, j=1,2,…,J.

[0079] in:

[0080] Σ represents the first minority group homogenization cross section (including the microscopic reaction cross section and macroscopic reaction cross section of various nuclides);

[0081] ireg represents the target component;

[0082] g represents energy group;

[0083] I represents the number of discrete points of fuel temperature;

[0084] J represents the number of discrete points of coolant density;

[0085] Σireg,g(Tf i ,Tm j ) represents the first small group homogenization cross section for the target component ireg at the i-th fuel temperature and the j-th coolant density in the energy group g.

[0086] The electronic device is based on the first small group uniform cross section Σireg,g(Tf i ,Dm j ), the cross-section matrix D (N*M columns) can be determined, and each column in the cross-section matrix D describes a different Tf i / Dm j The first minority group homogenized cross section Σireg,g at the state point.

[0087] In step 130, the electronic device may perform intrinsic orthogonal decomposition on the cross-section matrix obtained in the above example, so as to quickly analyze the first few groups of homogenized cross-sections, thereby improving the efficiency and accuracy of subsequent parameterization.

[0088] Specifically, the first minority group homogenized cross section is usually more complex and closely related to energy. The electronic device obtains the decomposition result through intrinsic orthogonal decomposition. When the decomposition result includes the intrinsic orthogonal basis, the intrinsic orthogonal basis can be regarded as a set of basis functions that describe the energy change pattern of the cross section. They can reflect the main characteristics and laws of the first minority group homogenized cross section changing with energy.

[0089] For example, some intrinsic orthogonal bases may correspond to the main variation trend of the cross section in a specific energy interval, and the combination of these basis functions can accurately describe the cross-sectional behavior at different energies.

[0090] In addition, there are a lot of data in the first few groups of homogenized cross sections, and directly processing these data is very difficult both in terms of computational efficiency and analytical difficulty. However, the first few groups of homogenized cross sections with high latitudes can be converted into decomposition results through intrinsic orthogonal decomposition, such as conversion into a small number of intrinsic orthogonal bases and corresponding expansion coefficients, which can reduce the dimension and complexity of the data, thereby improving the efficiency of subsequent parameterization processing and the efficiency of determining the second few groups of homogenized cross sections.

[0091] The implementation process of the intrinsic orthogonal decomposition can be found in the introduction of related technologies, which will not be repeated here.

[0092] In step 140, the electronic device can perform parameterization processing on the decomposition result determined in the above embodiment, thereby obtaining a second small group homogenized cross section. By directly performing parameterization processing on the decomposition result, the amount of calculation for cross section parameterization in a fast neutron reactor can be reduced, thereby improving the efficiency of determining the second small group homogenized cross section and the continuous small group homogenized cross section.

[0093] The second small-group homogenized cross section is a type of the small-group homogenized cross section mentioned above. The second small-group homogenized cross section can be regarded as a small-group homogenized cross section corresponding to the continuous state parameter and the target component, or the second small-group homogenized cross section can also be regarded as a continuous small-group homogenized cross section.

[0094] The above-mentioned continuous state parameters are different from discrete state parameters in some aspects. For example, continuous state parameters refer to data that can take any real value within a certain range, and its value changes continuously without jumps or discontinuities. Similar to discrete state parameters, continuous state parameters can also include at least one of fuel temperature and coolant density.

[0095] In some embodiments, the above-mentioned discrete state parameters and continuous state parameters may also include at least one of a relative power level and a control rod insertion depth.

[0096] In a possible implementation, the decomposition result includes an intrinsic orthogonal basis and intrinsic orthogonal expansion coefficients of the cross-section matrix;

[0097] The decomposition results are parameterized to determine the second minority group homogenized cross section under the continuous state parameters, including:

[0098] Parameterize the decomposition results to determine the changing relationship between the intrinsic orthogonal expansion coefficients and multiple discrete state parameters;

[0099] According to the intrinsic orthogonal basis and the variation relationship, the second minority group homogenization cross section under the continuous state parameters is determined.

[0100] In the embodiment of the present application, by parameterizing the decomposition results, the changing relationship between the intrinsic orthogonal expansion coefficients and multiple discrete state parameters can be determined, and then based on the intrinsic orthogonal basis and the changing relationship, the second small group homogenized cross section and the small group homogenized cross section under the continuous state parameters can be determined.

[0101] The above decomposition results include the intrinsic orthogonal basis and the intrinsic orthogonal expansion coefficients corresponding to the cross-section matrix D. The intrinsic orthogonal basis and the intrinsic orthogonal expansion coefficients are obtained by the aforementioned intrinsic orthogonal decomposition of the cross-section matrix D, which will not be repeated here.

[0102] The above-mentioned changing relationship refers to the relationship between the intrinsic orthogonal expansion coefficients and multiple discrete state parameters determined during the parameterization process, which can realize the continuous representation of the discrete relationship.

[0103] In a possible implementation, parameterization is performed on the decomposition result to determine the change relationship between the intrinsic orthogonal expansion coefficient and a plurality of discrete state parameters, including:

[0104] Determine a target eigenorthogonal expansion coefficient from all eigenorthogonal expansion coefficients;

[0105] The target intrinsic orthogonal expansion coefficient is parameterized to determine the variation relationship between the target intrinsic orthogonal expansion coefficient and a plurality of discrete state parameters.

[0106] The embodiment of the present application performs parameterization processing on the determined target intrinsic orthogonal expansion coefficients, and the number of the target intrinsic orthogonal expansion coefficients is less than the number of all intrinsic orthogonal expansion coefficients, which can increase the speed of determining the change relationship and further improve the efficiency of determining the continuous small-group homogenized cross section.

[0107] The number of the above-mentioned target eigenorthogonal expansion coefficients is less than the number of all eigenorthogonal expansion coefficients.

[0108] In some embodiments, a preset number of intrinsic orthogonal expansion coefficients may be determined from all intrinsic orthogonal expansion coefficients as target intrinsic orthogonal expansion coefficients.

[0109] The above-mentioned preset number can be adjusted according to actual needs and is not limited in this embodiment.

[0110] In a possible implementation, the decomposition result includes an eigenvalue, and determining a target eigenorthogonal expansion coefficient from all eigenorthogonal expansion coefficients includes:

[0111] Get the arrangement relationship of all eigenvalues;

[0112] The eigenorthogonal expansion coefficients corresponding to the first K eigenvalues ​​in the arrangement relationship are used as target eigenorthogonal expansion coefficients, where K is a positive integer.

[0113] The embodiment of the present application obtains the arrangement relationship of all eigenvalues, and determines the eigenorthogonal expansion coefficients corresponding to the first K eigenvalues ​​from the arrangement relationship as the target eigenorthogonal expansion coefficients. Based on the target eigenorthogonal expansion coefficients, the key features in the reactor and the corresponding dynamic reaction process can be captured. These modes contain most of the energy in the reactor and can describe the overall characteristics of the reactor, thereby improving the accuracy and reliability of determining the aforementioned change relationship, and further improving the accuracy and reliability of determining the continuous small group homogenization cross section.

[0114] The magnitude of the above eigenvalues ​​can reflect the importance or energy of the mode represented by the eigenvector. The calculated eigenvalues ​​are sorted from large to small, so that the eigenorthogonal expansion coefficients are also arranged in the order corresponding to the eigenvalues, and the arrangement relationship that can represent all the eigenorthogonal expansion coefficients can be obtained.

[0115] The above K can be selected based on actual conditions, and this embodiment does not make any specific restrictions here. It should be noted that K <N*M。

[0116] In a possible implementation, parameterization is performed on the decomposition result to determine the change relationship between the intrinsic orthogonal expansion coefficient and a plurality of discrete state parameters, including:

[0117] Parameterizing the target intrinsic orthogonal expansion coefficient according to a preset parameterization strategy to determine the variation relationship between the intrinsic orthogonal expansion coefficient and a plurality of discrete state parameters;

[0118] The preset parameterization strategy includes any one of polynomial fitting and interpolation.

[0119] The above target eigenorthogonal expansion coefficient can be expressed as a k，i，j , the preset parameterization strategy can be expressed as a functional relationship F(x), where x can represent discrete state parameters of different combinations. It should be noted that x can represent a single discrete state parameter or a combination of different types of discrete state parameters.

[0120] For example, if the discrete state parameters include the fuel temperature Tf and the coolant density Dm, then: k =F(Tf,Dm), F can also be regarded as a parameterization process, that is, to express the discrete relationship in a continuous manner.

[0121] The polynomial fitting and interpolation methods in the embodiments of the present application can be found in the introduction of the relevant technology, and the embodiments of the present application will not be described in detail here.

[0122] If the intrinsic orthogonal basis is expressed as φk(g), taking the continuous state parameters including the fuel temperature Tf' and the coolant density Dm' as an example, the new target orthogonal expansion coefficient a'k=F(Tf',Dm') after the continuous expression can be determined, and the second small group homogenized cross section corresponding to the continuous state parameters including the fuel temperature Tf' and the coolant density Dm' under the target energy group g, that is, the continuous small group homogenized cross section ∑′(g) can be expressed as:

[0123] ∑′(g)=Σ k φ k (g)a′ k , (1)

[0124] Corresponding to the above method embodiment, the present application embodiment also provides a device for obtaining a small group of homogenized cross sections under continuous state parameters, see Figure 2 , Figure 2 The functional module diagram of the device for obtaining a small group of uniform cross sections under continuous state parameters provided in an embodiment of the present application is shown in FIG. 200 , wherein the device for obtaining a small group of uniform cross sections under continuous state parameters includes:

[0125] An acquisition module 210 is used to acquire a plurality of first few-group homogenized cross sections corresponding to a plurality of discrete state parameters, wherein the first few-group homogenized cross sections are the few-group homogenized cross sections of a target component of a nuclear reactor under a target energy group under corresponding discrete state parameters;

[0126] A first determination module 220, configured to determine a cross-section matrix according to a plurality of discrete state parameters and a plurality of first small-group homogenized cross-sections;

[0127] The processing module 230 is used to perform intrinsic orthogonal decomposition on the cross-section matrix to obtain a decomposition result;

[0128] The second determination module 240 is used to perform parameterization processing on the decomposition result to determine a second small group homogenized cross section under the continuous state parameter, where the second small group homogenized cross section is a small group homogenized cross section of the target component under the target energy group under the corresponding continuous state parameter.

[0129] The device for obtaining a small number of homogenized cross sections under continuous state parameters provided in the embodiment of the present application can achieve the following Figure 1 The various processes implemented in the method embodiments can achieve similar or identical technical effects, and will not be described again here to avoid repetition.

[0130] In a possible implementation, the decomposition result includes an intrinsic orthogonal basis and an intrinsic orthogonal expansion coefficient of the cross-section matrix, and the second determination module 240 is further used to:

[0131] Parameterize the decomposition results to determine the changing relationship between the intrinsic orthogonal expansion coefficients and multiple discrete state parameters;

[0132] According to the intrinsic orthogonal basis and the variation relationship, the second minority group homogenization cross section under the continuous state parameters is determined.

[0133] In a possible implementation manner, the second determining module 240 is further specifically configured to:

[0134] Determine a target eigenorthogonal expansion coefficient from all eigenorthogonal expansion coefficients;

[0135] The target intrinsic orthogonal expansion coefficient is parameterized to determine the variation relationship between the target intrinsic orthogonal expansion coefficient and a plurality of discrete state parameters.

[0136] In a possible implementation manner, the second determining module 240 is further specifically configured to:

[0137] Get the arrangement relationship of all eigenvalues;

[0138] The eigenorthogonal expansion coefficients corresponding to the first K eigenvalues ​​in the arrangement relationship are used as target eigenorthogonal expansion coefficients, where K is a positive integer.

[0139] In a possible implementation, parameterization is performed on the decomposition result to determine the change relationship between the intrinsic orthogonal expansion coefficient and a plurality of discrete state parameters, including:

[0140] Parameterizing the target intrinsic orthogonal expansion coefficient according to a preset parameterization strategy to determine the variation relationship between the intrinsic orthogonal expansion coefficient and a plurality of discrete state parameters;

[0141] The preset parameterization strategy includes any one of polynomial fitting and interpolation.

[0142] The present application also provides an electronic device. The present application also provides an electronic device. Figure 3 , Figure 3 An internal structure diagram of an electronic device provided for an embodiment of the present application. The electronic device includes a processor, a memory, and a network interface connected via a system bus. The memory includes a non-volatile storage medium and an internal memory. The non-volatile storage medium of the electronic device stores an operating system and may also store a computer program, which, when executed by the processor, enables the processor to implement the method for obtaining a small group of homogenized cross sections under continuous state parameters applied to the electronic device in the above-mentioned embodiment. The internal memory may also store a computer program, which, when executed by the processor, enables the processor to execute the method for obtaining a small group of homogenized cross sections under continuous state parameters. Those skilled in the art will appreciate that Figure 3 The structure shown in the figure is merely a block diagram of a partial structure related to the scheme of the present application, and does not constitute a limitation on the electronic device to which the scheme of the present application is applied. The specific electronic device may include more or fewer components than shown in the figure, or combine certain components, or have a different arrangement of components.

[0143] The embodiment of the present application further discloses a computer-readable storage medium, on which a computer program is stored. When the computer program is executed by a processor, a method for obtaining a small group of homogenized cross sections under continuous state parameters as in the method embodiment is implemented.

[0144] An embodiment of the present application provides a computer program product, which is stored in a storage medium. The program product is executed by at least one processor to implement the various processes of the embodiment of the method for obtaining a small group of homogenized sections under the above-mentioned continuous state parameters, and can achieve similar or identical technical effects. To avoid repetition, it will not be repeated here.

[0145] Those skilled in the art can understand that all or part of the processes in the above-mentioned embodiment methods can be completed by instructing the relevant hardware through a computer program, and the program can be stored in a non-volatile computer-readable storage medium. When the program is executed, it can include the processes of the embodiments of the above-mentioned methods. Among them, any reference to memory, storage, database or other media used in the embodiments provided in this application can include non-volatile and / or volatile memory. Non-volatile memory may include read-only memory (ROM), programmable ROM (PROM), electrically programmable ROM (EPROM), electrically erasable programmable ROM (EEPROM) or flash memory. Volatile memory may include random access memory (RAM) or external cache memory. As an illustration and not limitation, RAM is available in many forms, such as static RAM (SRAM), dynamic RAM (DRAM), synchronous DRAM (SDRAM), double data rate SDRAM (DDRSDRAM), enhanced SDRAM (ESDRAM), synchronous link (Synchlink) DRAM (SLDRAM), memory bus (Rambus) direct RAM (RDRAM), direct memory bus dynamic RAM (DRDRAM), and memory bus dynamic RAM (RDRAM).

[0146] The technical features of the above embodiments may be combined arbitrarily. To make the description concise, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

Claims

1. A method for obtaining a small group homogenized cross section under continuous state parameters, characterized in that: include: Acquire a plurality of first few-group homogenized cross sections corresponding to a plurality of discrete state parameters, wherein the first few-group homogenized cross sections are the few-group homogenized cross sections of the target component of the nuclear reactor under the target energy group under the corresponding discrete state parameters; Determining a cross-section matrix according to the plurality of discrete state parameters and the plurality of first few-group homogenized cross-sections; Performing intrinsic orthogonal decomposition on the cross-section matrix to obtain a decomposition result; The decomposition result is parameterized to determine a second small group homogenized cross section under continuous state parameters, wherein the second small group homogenized cross section is a small group homogenized cross section of the target component under the target energy group under corresponding continuous state parameters.

2. The method according to claim 1, characterized in that The decomposition result includes the intrinsic orthogonal basis and the intrinsic orthogonal expansion coefficients of the cross-section matrix; The parameterizing the decomposition result to determine the second small group homogenized cross section under the continuous state parameter includes: Performing parameterization processing on the decomposition result to determine a change relationship between the intrinsic orthogonal expansion coefficient and the plurality of discrete state parameters; A second small group homogenized cross section under the continuous state parameter is determined according to the intrinsic orthogonal basis and the change relationship.

3. The method according to claim 2, characterized in that The parameterizing the decomposition result to determine the change relationship between the intrinsic orthogonal expansion coefficient and the plurality of discrete state parameters includes: Determine a target intrinsic orthogonal expansion coefficient from all the intrinsic orthogonal expansion coefficients; The target intrinsic orthogonal expansion coefficient is parameterized to determine a variation relationship between the target intrinsic orthogonal expansion coefficient and the plurality of discrete state parameters.

4. The method according to claim 3, characterized in that The decomposition result includes an eigenvalue, and determining a target eigenorthogonal expansion coefficient from all the eigenorthogonal expansion coefficients includes: Obtaining the arrangement relationship of all the eigenvalues; The eigenorthogonal expansion coefficients corresponding to the first K eigenvalues ​​in the arrangement relationship are used as the target eigenorthogonal expansion coefficients, where K is a positive integer.

5. The method according to claim 4, characterized in that The parameterizing the decomposition result to determine the change relationship between the intrinsic orthogonal expansion coefficient and the plurality of discrete state parameters includes: Performing parameterization processing on the target intrinsic orthogonal expansion coefficient according to a preset parameterization strategy to determine a change relationship between the intrinsic orthogonal expansion coefficient and the plurality of discrete state parameters; Wherein, the preset parameterization strategy includes any one of polynomial fitting and interpolation.

6. A device for obtaining a small group homogenized cross section under continuous state parameters, characterized in that: include: An acquisition module, used for acquiring a plurality of first few-group homogenized cross sections corresponding to a plurality of discrete state parameters, wherein the first few-group homogenized cross sections are the few-group homogenized cross sections of a target component of a nuclear reactor under a target energy group under corresponding discrete state parameters; A first determining module, configured to determine a cross-section matrix according to the plurality of discrete state parameters and the plurality of first few-group homogenized cross-sections; A processing module, used for performing intrinsic orthogonal decomposition on the cross-section matrix to obtain a decomposition result; The second determination module is used to perform parameterization processing on the decomposition result to determine a second small group homogenized cross section under a continuous state parameter, wherein the second small group homogenized cross section is a small group homogenized cross section of the target component under the target energy group under the corresponding continuous state parameter.

7. The device according to claim 6, characterized in that The decomposition result includes an intrinsic orthogonal basis and an intrinsic orthogonal expansion coefficient of the cross-section matrix, and the second determination module is further used for: Performing parameterization processing on the decomposition result to determine a change relationship between the intrinsic orthogonal expansion coefficient and the plurality of discrete state parameters; A second small group homogenized cross section under the continuous state parameter is determined according to the intrinsic orthogonal basis and the change relationship.

8. An electronic device, characterized in that: The electronic device comprises a memory and a processor, wherein a computer program is stored in the memory, and the computer program implements the method according to any one of claims 1 to 5 when executed by the processor.

9. A computer-readable storage medium, characterized in that: The computer-readable storage medium stores a computer program, and when the computer program is executed by one or more processors, the method according to any one of claims 1 to 5 is implemented.

10. A computer program product, characterized in that The computer program product comprises a computer program, which implements the method of any one of claims 1 to 5 when executed by one or more processors.

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