CN114048664A - Double-heterogeneous-system reactivity equivalent physical transformation calculation method and module - Google Patents

Double-heterogeneous-system reactivity equivalent physical transformation calculation method and module Download PDF

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Publication number
CN114048664A
CN114048664A CN202111328869.5A CN202111328869A CN114048664A CN 114048664 A CN114048664 A CN 114048664A CN 202111328869 A CN202111328869 A CN 202111328869A CN 114048664 A CN114048664 A CN 114048664A
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equivalent
dispersed
reactivity
fuel
circular ring
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娄磊
彭星杰
柴晓明
秦冬
王连杰
于颖锐
姚栋
李庆
陈长
刘同先
李满仓
王晨琳
刘勇
张斌
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Nuclear Power Institute of China
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    • G06FELECTRIC DIGITAL DATA PROCESSING
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Abstract

The invention discloses a dual heterogeneous system reactivity equivalent physical transformation calculation method and a module, wherein the method comprises the following steps: converting a double non-uniform system into a single non-uniform system by a method of equivalently converting the reactivity of the dispersed particle material into a circular ring; calculating the change situation of the reactivity of the converted unit heterogeneous system along with the burnup by adopting neutron calculation software. According to the invention, through reactivity equivalence, a double-nonuniform system is converted into a single-nonuniform system, and further, the complicated double-nonuniform problem can be calculated by fully verified traditional seed calculation software, so that the core nuclear design calculation analysis of the double-nonuniform materials containing dispersed fuel or dispersed burnable poison and the like is realized.

Description

Double-heterogeneous-system reactivity equivalent physical transformation calculation method and module
Technical Field
The invention belongs to the technical field of nuclear reactor cores, and particularly relates to a dual heterogeneous system reactivity equivalent physical transformation calculation method.
Background
After the nuclear accident of fukushima, the safety of nuclear fuel under the accident condition is more and more emphasized. To improve the safety of the reactor, a design has emerged in which the fuel particles are dispersed in a non-fissile matrix material, known as randomly distributed media fuel elements. The most typical applications of the randomly distributed media fuel element design are TRISO fuel in high temperature gas cooled reactors and FCM fuel design in pressurized water reactors. The fuel can bear higher temperature under some extreme accident conditions, maintains the integrity of the fuel, prevents fission products from being released into the environment, and has excellent inherent safety.
From the neutron calculation point of view, the key difference between the random distribution medium fuel element and the traditional fuel element is that the fuel particles are dispersed in the matrix in the form of the random distribution medium, and a definite geometric definition cannot be obtained. Meanwhile, the fuel grid cell introduces the heavy microscopic heterogeneity of the matrix and dispersed fuel particles in the fuel pellet and the layered structure in the fuel particles on the basis of the heavy macroscopic heterogeneity of the fuel, the cladding and the moderator, so as to form double heterogeneity, the spatial self-shielding effect of the fuel grid cell has great influence on both a thermal group and a resonance energy group, and certain challenges are brought to the traditional neutron analysis method.
However, for the existing dual heterogeneity of dispersed fuel, the most direct neutron calculation method is to adopt a monte carlo method based on continuous energy cross sections, and to perform strict neutron calculation by modeling the random distribution of particles. Such methods can provide a neutron reference for randomly distributed media fuel elements, but are computationally expensive and difficult to apply in time-dependent burnup calculations or multi-physics iterative design calculations.
Disclosure of Invention
Aiming at the limitation of the existing method, the invention provides a double non-uniform system reactivity equivalent physical transformation calculation method. The invention can realize the calculation function of a dual heterogeneous system, and is used for the core nuclear design calculation analysis of dual heterogeneous materials containing dispersed fuel or dispersed combustible poison and the like.
The invention is realized by the following technical scheme:
a dual heterogeneous system reactivity equivalent physical transformation calculation method comprises the following steps:
converting a double non-uniform system into a single non-uniform system by a method of equivalently converting the reactivity of the dispersed particle material into a circular ring;
calculating the change situation of the reactivity of the converted unit heterogeneous system along with the burnup by adopting neutron calculation software.
Preferably, the dual heterogeneous system of the present invention is a dual heterogeneous system containing a dispersed particle type, and the method for equivalently converting the reactivity of the dispersed particle material into a circular ring specifically comprises the following steps:
all dispersed particle materials are equivalent to an equivalent circular ring in a fuel pellet matrix, the center of the equivalent circular ring is consistent with the center of the fuel pellet, the total amount of the dispersed materials is kept constant, the inner diameter of the equivalent circular ring is changed, the thickness of the equivalent circular ring is changed, and when a system fuel is usedComponent immortalizing factor kinfEqual to the reference solution is an equivalent single-weighted non-uniform system.
Preferably, the fuel pellet matrix of the dual heterogeneous system of the present invention has dispersed therein boron carbide, gadolinium oxide, erbium oxide or hafnium oxide particulate burnable poison in a volume fraction of 2.5% with a radius of 100 μm.
Preferably, the dual heterogeneous system of the present invention is a dual heterogeneous system containing two types of particles, namely dispersed fuel particles and dispersed burnable poison particles, and the method for reactively and equivalently converting the dispersed particle material into a circular ring specifically comprises:
removing dispersed burnable poison particles in a system and filling the burnable poison particles with a matrix, then, enabling all the dispersed fuel particles to be equivalent to a first equivalent ring in the matrix of the fuel pellet, wherein the circle center of the first equivalent ring is consistent with that of the fuel pellet, keeping the total amount of dispersed materials constant, changing the inner diameter of the first equivalent ring, and changing the thickness of the first equivalent ring, wherein when the infinite multiplication factor k of a system fuel assembly is usedinfWhen the solution is equal to the reference solution, the solution is equivalent to a first single nonuniform system;
adding the removed dispersed burnable poison particles based on the first single-weight heterogeneous system, then, equivalently adding all the dispersed burnable poison particles into a second equivalent ring in the fuel pellet matrix, wherein the circle center of the second equivalent ring is consistent with that of the fuel pellets, keeping the total amount of the dispersed material conserved, changing the inner radius of the second equivalent ring, changing the thickness of the second equivalent ring, and when a system fuel assembly infinite multiplication factor kinfEquality with the reference solution is equivalent to a single non-uniform system.
Preferably, when the second equivalent circular ring is overlapped with the first equivalent circular ring, the position of the second equivalent circular ring is preferentially ensured, the inner diameter of the first equivalent circular ring is unchanged, and the outer diameter of the first equivalent circular ring is increased to include the second equivalent circular ring.
Preferably, the dual heterogeneous system of the present invention has a diffusion enrichment of 20% in the matrix of the fuel pellet, a volume fraction of 20%, uranium dioxide particles with a particle radius of 200 μm, and a volume fraction of 2.5% boron carbide, gadolinium oxide, erbium oxide or hafnium oxide particles with a radius of 100 μm.
In a second aspect, the invention provides a double non-uniform system reactivity equivalent physical transformation calculation module, which comprises a single equivalent unit and a secondary equivalent unit;
the single equivalent unit and the secondary equivalent unit convert a double non-uniform system into a single non-uniform system by a method of converting the reactivity equivalence of dispersed particle materials into a circular ring.
In a third aspect, the invention provides a dual heterogeneous system reactivity calculation module, which is used for converting a dual heterogeneous system into a single heterogeneous system by using the equivalent physical conversion calculation module so as to calculate the change situation of the reactivity of the single heterogeneous system along with the fuel consumption.
In a fourth aspect, the invention proposes a computer device comprising a memory storing a computer program and a processor implementing the steps of the method of the invention when executing the computer program.
In a fifth aspect, the invention proposes a computer-readable storage medium having stored thereon a computer program which, when being executed by a processor, carries out the steps of the method according to the invention.
The invention has the following advantages and beneficial effects:
1. according to the invention, through reactivity equivalence, a double-nonuniform system is converted into a single-nonuniform system, and further, the complicated double-nonuniform problem can be calculated by fully verified traditional seed calculation software, so that the core nuclear design calculation analysis of the double-nonuniform materials containing dispersed fuel or dispersed burnable poison and the like is realized.
2. According to the invention, a double-inhomogeneous-system equivalent physical conversion calculation module is added in the traditional pressurized water reactor core design sub-mathematical calculation software, so that the current software has the double-inhomogeneous-system calculation function and can be used for the core design calculation analysis of double inhomogeneous materials containing dispersed fuel or dispersed burnable poison and the like.
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The accompanying drawings, which are included to provide a further understanding of the embodiments of the invention and are incorporated in and constitute a part of this application, illustrate embodiment(s) of the invention and together with the description serve to explain the principles of the invention. In the drawings:
FIG. 1 is a schematic representation of the reactive equivalent physical transformation of a particle-containing type of the present invention.
FIG. 2 is a schematic representation of the reactive equivalent physical transformation of two particle types according to the present invention.
FIG. 3 is a schematic diagram of a computer device according to the present invention.
FIG. 4 is a diagram of a dual heterogeneous system of the present invention containing one particle type.
FIG. 5 is a dual heterogeneous system of the present invention containing both dispersed fuel and dispersed burnable poison particle types.
Reference numbers and corresponding part names in the drawings:
1-moderator, 2-cladding, 3-base material, 4-single dispersed particle material, 5-one dispersed particle material of two dispersed particle materials, and 6-the other dispersed particle material of two dispersed particle materials.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail below with reference to examples and accompanying drawings, and the exemplary embodiments and descriptions thereof are only used for explaining the present invention and are not meant to limit the present invention.
Example 1
The embodiment provides a double-nonuniform-system reactive equivalent physical transformation calculation method, the double-nonuniform system is transformed into a single-nonuniform system by the reactive equivalent transformation method, and then the complex double-nonuniform problem can be calculated by fully verified traditional seed calculation software.
This example is directed to a dual heterogeneous system comprising a dispersed particle type, and the reactive equivalent conversion method specifically comprises: all the dispersed particles are mixedThe material is equivalent to an equivalent ring in the matrix, the center of the equivalent ring is consistent with the center of the original fuel pellet, the total amount of the dispersion material is kept constant, the inner radius of the equivalent ring is changed, the thickness of the equivalent ring is changed, and when the system fuel assembly infinite multiplication factor kinfEqual to the reference solution is an equivalent single-weighted non-uniform system. As shown in fig. 1.
In this embodiment, for a dual heterogeneous system containing two types of particles, namely dispersed fuel particles and dispersed burnable poison particles, the reactive equivalent conversion method specifically includes:
removing dispersed combustible toxic particles in a system and filling the dispersed combustible toxic particles by a matrix, then, enabling all the dispersed fuel particles to be equivalent to a first equivalent circular ring in the matrix, wherein the circle center of the first equivalent circular ring is consistent with the circle center of an original fuel pellet, keeping the total amount of dispersed materials constant, changing the inner radius of the first equivalent circular ring, changing the thickness of the first equivalent circular ring, and when an infinite multiplication factor kinf of a system fuel assembly is equal to a reference solution, equivalent to a single-weight non-uniform system;
and 2, adding the removed dispersed combustible toxic particles into an equivalent single-weight heterogeneous system, then, equivalently adding all the dispersed combustible toxic particles into a second equivalent ring in the matrix, wherein the circle center of the second equivalent ring is consistent with that of the original fuel pellet, keeping the total amount of the dispersed materials constant, changing the inner radius of the second equivalent ring, changing the thickness of the second equivalent ring, and equivalently forming a single-weight heterogeneous system when the infinite multiplication factor kinf of a system fuel assembly is equal to the reference solution.
In the equivalent process of step 2, if the second equivalent circular ring overlaps the first equivalent circular ring, the position of the second equivalent circular ring is preferentially ensured, the inner diameter of the first equivalent circular ring is unchanged, and the outer diameter can be increased to include the second equivalent circular ring. As shown in fig. 2.
Through the double-heterogeneity reactive equivalent physical transformation, a double-heterogeneity system can be transformed into a single-heterogeneity system, and the double-heterogeneity system can be calculated by the conventional seed calculation software which is verified at present, so that the current software has the calculation function of the double-heterogeneity system.
The embodiment also provides a computer device for executing the method of the embodiment.
As shown in fig. 3 in particular, the computer device includes a processor, an internal memory, and a system bus; various device components including internal memory and processors are connected to the system bus. A processor is hardware used to execute computer program instructions through basic arithmetic and logical operations in a computer system. An internal memory is a physical device used to temporarily or permanently store computing programs or data (e.g., program state information). The system bus may be any of several types of bus structures including a memory bus or memory controller, a peripheral bus, and a local bus. The processor and the internal memory may be in data communication via a system bus. Including read-only memory (ROM) or flash memory (not shown), and Random Access Memory (RAM), which typically refers to main memory loaded with an operating system and computer programs.
Computer devices typically include an external storage device. The external storage device may be selected from a variety of computer readable media, which refers to any available media that can be accessed by the computer device, including both removable and non-removable media. For example, computer-readable media includes, but is not limited to, flash memory (micro SD cards), CD-ROM, Digital Versatile Disks (DVD) or other optical disk storage, magnetic cassettes, magnetic tape, magnetic disk storage or other magnetic storage devices, or any other medium which can be used to store the desired information and which can be accessed by a computer device.
A computer device may be logically connected in a network environment to one or more network terminals. The network terminal may be a personal computer, a server, a router, a smart phone, a tablet, or other common network node. The computer apparatus is connected to the network terminal through a network interface (local area network LAN interface). A Local Area Network (LAN) refers to a computer network formed by interconnecting within a limited area, such as a home, a school, a computer lab, or an office building using a network medium. WiFi and twisted pair wiring ethernet are the two most commonly used technologies to build local area networks.
It should be noted that other computer systems including more or less subsystems than computer devices can also be suitable for use with the invention.
As described above in detail, the computer device applicable to the present embodiment can perform the specifying operation of the multidimensional space view search method. The computer device performs these operations in the form of software instructions executed by a processor in a computer-readable medium. These software instructions may be read into memory from a storage device or from another device via a local area network interface. The software instructions stored in the memory cause the processor to perform the method of processing group membership information described above. Furthermore, the present invention can be implemented by hardware circuits or by a combination of hardware circuits and software instructions. Thus, implementation of the present embodiments is not limited to any specific combination of hardware circuitry and software.
Example 2
The dual heterogeneous system of this embodiment is a dual heterogeneous system containing a dispersed particle type, and the system of this embodiment is arranged as shown in fig. 4, in a square fuel grid with a grid pitch of 0.8cm, a fuel pellet with a radius of 0.3cm and a height of 0.6cm is placed, the outside of the pellet contains a zirconium package 2 with a thickness of 0.008cm, the enrichment degree of uranium dioxide in the pellet is 2%, and the volume share of boron carbide, gadolinium oxide, erbium trioxide or hafnium oxide with a dispersion radius of 100 μm in the pellet (matrix material 3) is 2.5%, it is required to explain that only one of the four burnable poisons exists in each case, and only the case that the four burnable poisons are dispersed in the uranium dioxide pellet alone is calculated.
Aiming at the double nonuniform system containing a dispersed particle type, the reactivity equivalent conversion method of the embodiment is adopted to convert the double nonuniform system into a single nonuniform system.
In this embodiment, the particle modeling calculation result of the monte-cark program RMC is used as a reference, the existing neutron calculation software is used to calculate the change of the reactivity of the equivalent single-weight heterogeneous system with the burnup, and the calculation result is compared with the monte-cark calculation result, so that the reactivity deviation in the whole life cycle is found to be kept within 0.5%, that is, the design requirement is met.
Example 3
The system of this embodiment is arranged as shown in fig. 5, a fuel pellet with a radius of 0.3cm and a height of 0.6cm is placed in a square fuel grid with a grid pitch of 0.8cm, the pellet is externally provided with a zirconium cladding 2 with a thickness of 0.008cm, a pellet matrix material 3 is metal zirconium, the internal dispersion concentration of the matrix is 20%, the volume fraction of the uranium dioxide particles is 20%, the particle radius of the uranium dioxide particles is 200 μm, and boron carbide, gadolinium oxide, erbium trioxide or hafnium particle burnable poison with a volume fraction of 2.5% and a dispersion radius of 100 μm is dispersed at the same time.
Aiming at the dual heterogeneous system containing two particle types of the dispersed fuel particles and the dispersed burnable poison particles, the reactivity equivalent conversion method of the embodiment is adopted to convert the dual heterogeneous system into a single heterogeneous system.
In this embodiment, the particle modeling calculation result of the monte-cark program RMC is used as a reference, the existing neutron calculation software is used to calculate the change of the reactivity of the equivalent single-weight heterogeneous system with the burnup, and the calculation result is compared with the monte-cark calculation result, so that the reactivity deviation in the whole life cycle is found to be kept within 0.5%, that is, the design requirement is met.
Example 4
The embodiment also provides a double non-uniform system reactivity equivalent physical transformation calculation module which comprises a single equivalent unit and a secondary equivalent unit.
The single equivalent unit of this example converts a double heterogeneous system containing a dispersed particle type to a single heterogeneous system using the reactive equivalent conversion method described in example 1.
The second order equivalence of this example was carried out using the reactive equivalence conversion method described in example 1 to convert a dual heterogeneous system containing both dispersed fuel particles and dispersed burnable poison particles into a single heterogeneous system.
By adding the equivalent physical conversion calculation module of the dual heterogeneous system in the traditional pressurized water reactor core design sub-science calculation software, the current software has the calculation function of the dual heterogeneous system and can be used for the core design calculation analysis of dual heterogeneous materials containing dispersed fuel or dispersed burnable poison and the like.
The above-mentioned embodiments are intended to illustrate the objects, technical solutions and advantages of the present invention in further detail, and it should be understood that the above-mentioned embodiments are merely exemplary embodiments of the present invention, and are not intended to limit the scope of the present invention, and any modifications, equivalent substitutions, improvements and the like made within the spirit and principle of the present invention should be included in the scope of the present invention.

Claims (10)

1. A double heterogeneous system reactivity equivalent physical transformation calculation method is characterized by comprising the following steps:
converting a double non-uniform system into a single non-uniform system by a method of equivalently converting the reactivity of the dispersed particle material into a circular ring;
calculating the change situation of the reactivity of the converted unit heterogeneous system along with the burnup by adopting neutron calculation software.
2. The method for calculating the equivalent physical transformation of the reactivity of the dual heterogeneous system according to claim 1, wherein the dual heterogeneous system is a dual heterogeneous system containing a dispersed particle type, and the method for equivalent physical transformation of the reactivity of the dispersed particle material into a circular ring is specifically as follows:
all dispersed particle materials are equivalent to an equivalent circular ring in a fuel pellet matrix, the center of the equivalent circular ring is consistent with the center of the fuel pellet, the total quantity conservation of the dispersed materials is kept, the inner diameter of the equivalent circular ring is changed, the thickness of the equivalent circular ring is changed, and when the system fuel assembly infinite multiplication factor kinfEqual to the reference solution is an equivalent single-weighted non-uniform system.
3. The method according to claim 2, wherein the double heterogeneous system comprises boron carbide, gadolinium oxide, erbium trioxide or hafnium particle burnable poison with a dispersion radius of 100 μm and a volume fraction of 2.5%.
4. The method according to claim 1, wherein the dual heterogeneous system is a dual heterogeneous system containing two types of particles, namely dispersed fuel particles and dispersed burnable poison particles, and the method for reactively and equivalently converting dispersed particle materials into circular rings specifically comprises:
removing dispersed burnable poison particles in a system and filling the burnable poison particles with a matrix, then, enabling all the dispersed fuel particles to be equivalent to a first equivalent ring in the matrix of the fuel pellet, wherein the circle center of the first equivalent ring is consistent with that of the fuel pellet, keeping the total amount of dispersed materials constant, changing the inner diameter of the first equivalent ring, and changing the thickness of the first equivalent ring, wherein when the infinite multiplication factor k of a system fuel assembly is usedinfWhen the solution is equal to the reference solution, the solution is equivalent to a first single nonuniform system;
adding the removed dispersed burnable poison particles based on the first single-weight heterogeneous system, then, equivalently adding all the dispersed burnable poison particles into a second equivalent ring in the fuel pellet matrix, wherein the circle center of the second equivalent ring is consistent with that of the fuel pellets, keeping the total amount of the dispersed material conserved, changing the inner radius of the second equivalent ring, changing the thickness of the second equivalent ring, and when a system fuel assembly infinite multiplication factor kinfEquality with the reference solution is equivalent to a single non-uniform system.
5. The dual non-uniform system reactivity-equivalent physical transformation calculation method according to claim 4, wherein if the second equivalent circular ring overlaps with the first equivalent circular ring, the position of the second equivalent circular ring is preferentially ensured, the inner diameter of the first equivalent circular ring is unchanged, and the outer diameter is increased to include the second equivalent circular ring.
6. The method for calculating the equivalent physical transformation of the reactivity of the dual heterogeneous system according to claim 4, wherein the dual heterogeneous system has a dispersion enrichment degree of 20% in a matrix of the fuel pellet, a volume fraction of 20%, uranium dioxide particles with a particle radius of 200 μm, and boron carbide, gadolinium oxide, erbium oxide or hafnium oxide particle burnable poison with a volume fraction of 2.5% and a dispersion radius of 100 μm.
7. A double non-uniform system reactivity equivalent physical transformation calculation module is characterized by comprising a single equivalent unit and a secondary equivalent unit;
the single equivalent unit and the secondary equivalent unit convert a double non-uniform system into a single non-uniform system by a method of converting the reactivity equivalence of dispersed particle materials into a circular ring.
8. A dual heterogeneous system reactivity calculation module, wherein the equivalent physical transformation calculation module of claim 7 is used to transform a dual heterogeneous system into a single heterogeneous system to calculate the reactivity of the single heterogeneous system as a function of fuel consumption.
9. A computer device comprising a memory and a processor, the memory storing a computer program, characterized in that the processor realizes the steps of the method according to any of claims 1-6 when executing the computer program.
10. A computer-readable storage medium, on which a computer program is stored which, when being executed by a processor, carries out the steps of the method according to any one of claims 1 to 6.
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Cited By (1)

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Publication number Priority date Publication date Assignee Title
CN115062490A (en) * 2022-07-08 2022-09-16 中国核动力研究设计院 Reactivity equivalent physical conversion method applied to fuel element dual heterogeneous system

Non-Patent Citations (2)

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JIAN LI等: "An improved reactivity-equivalent physical transformation for treating FCM fuel with burnable poisons", ANNALS OF NUCLEAR ENERGY, pages 3 *
LEI LOU等: "A novel reactivity-equivalent physical transformation method for homogenization of double-heterogeneous systems", ANNALS OF NUCLEAR ENERGY, pages 1 *

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115062490A (en) * 2022-07-08 2022-09-16 中国核动力研究设计院 Reactivity equivalent physical conversion method applied to fuel element dual heterogeneous system
CN115062490B (en) * 2022-07-08 2024-02-06 中国核动力研究设计院 Reactive equivalent physical conversion method applied to fuel element dual heterogeneous system

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Application publication date: 20220215