CN115983049B - Discontinuous factor calculation method applied to pebble-bed high-temperature gas cooled reactor - Google Patents
Discontinuous factor calculation method applied to pebble-bed high-temperature gas cooled reactor Download PDFInfo
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- 238000004364 calculation method Methods 0.000 title claims abstract description 44
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Abstract
The invention discloses a discontinuous factor calculation method applied to a pebble-bed high-temperature gas cooled reactor, which comprises the steps of firstly dividing the pebble-bed high-temperature gas cooled reactor into three-dimensional cylindrical geometric segments according to an actual layered structure of a reflecting layer of the pebble-bed high-temperature gas cooled reactor, constructing a calculation model by using a Monte Carlo physical calculation program, and carrying out neutron transport calculation to obtain outgoing neutron flow, incoming neutron flow and non-uniform neutron surface flux of each surface of each reflecting layer segment in each direction; then calculating to obtain uniform neutron surface flux of all the section surfaces by utilizing the emergent neutron flow and the incident neutron flow; and finally, calculating to obtain discontinuous factors of all surfaces of all the sections, and subsequently, using the discontinuous factors for strong absorber diffusion calculation and correction. The method omits the two-dimensional non-uniform transport calculation and the two-dimensional fixed source diffusion calculation steps, and the non-uniform neutron surface flux and the uniform neutron surface flux required by calculating the discontinuous factor are directly obtained through Monte Carlo non-uniform neutron transport calculation, so that the discontinuous factor is obtained in a simpler, more convenient and more accurate mode.
Description
Technical Field
The invention relates to the field of nuclear reactor physical computation, in particular to a discontinuous factor computing method applied to a pebble-bed high-temperature gas cooled reactor.
Background
The pebble-bed high-temperature gas cooled reactor adopts a reactive control mode of combining a control rod and an absorption ball outside an active area, and the channels of the control rod and the absorption ball are arranged in a reflecting layer. In addition, in order to effectively absorb neutrons leaking outside the reflecting layer, the outermost layer of the reflecting layer is also provided with a layer of carbon boride bricks. The control rods, the absorption spheres and the carbon boride bricks all belong to strong absorbers which will cause local distortions and strong anisotropies of the neutron flux, resulting in that the diffusion approximation is no longer applicable.
In the three-dimensional total pile diffusion calculation based on the segment expansion method, the condition of net neutron flux conservation before and after homogenization can lead to uniform neutron surface flux discontinuity between two segment interfaces, and the surface flux discontinuity phenomenon of the segment interfaces of the strong absorber area is more prominent, so that a non-negligible calculation error is introduced. In order to correct the diffusion calculation of the strong absorber region, a discontinuous factor is often used for correcting the relation between outgoing neutron flux and incoming neutron flux on the segment surfaces, so that the uniform neutron surface flux between the segment interfaces is continuous, and the error of the diffusion calculation is reduced. Thus, there is a need to provide a discontinuity factor suitable for three-dimensional full stack diffusion calculations for pebble-bed high temperature gas cooled reactors.
In the prior art, a two-dimensional non-uniform neutron transport calculation is needed to obtain a non-uniform neutron surface flux and a region uniform section, and then the non-uniform neutron surface flux and the region uniform section are substituted into the region uniform section to perform two-dimensional fixed source diffusion calculation on the uniform region to obtain the uniform neutron surface flux, so that a discontinuous factor is obtained through calculation, and the flow is complex.
Disclosure of Invention
In order to overcome the problems in the prior art, the invention aims to provide a discontinuous factor calculation method applied to a pebble-bed high-temperature gas cooled reactor, which is characterized in that firstly, according to the actual layered structure of a pebble-bed high-temperature gas cooled reactor reflecting layer, three-dimensional cylinder geometric sections are divided, a Monte Carlo physical calculation program is used for constructing a calculation model and carrying out neutron transport calculation to obtain the emergent neutron flow, the incident neutron flow and the non-uniform neutron surface flux of each surface of each layer of reflecting layer section in each direction; then calculating to obtain uniform neutron surface flux of the corresponding surfaces of all three-dimensional cylindrical geometric segments by utilizing the emergent neutron flow and the incident neutron flow; and finally, calculating to obtain discontinuous factors of all surfaces of all three-dimensional cylinder geometric section blocks by utilizing non-uniform neutron surface flux and uniform neutron surface flux of the corresponding surfaces of all three-dimensional cylinder geometric section blocks, and subsequently, calculating and correcting for strong absorber diffusion.
In order to achieve the above object, the present invention adopts the following technical scheme:
a discontinuous factor calculation method applied to a pebble-bed high-temperature gas cooled reactor comprises the following steps:
step 1: dividing the spherical high-temperature gas cooled reactor reflecting layer into three-dimensional cylindrical geometric sections according to the actual layered structure of the spherical high-temperature gas cooled reactor reflecting layer in the radial direction, the circumferential direction and the axial direction, and building a spherical high-temperature gas cooled reactor physical model by utilizing a Monte Carlo physical calculation program;
step 2: carrying out non-uniform neutron transport calculation on a pebble-bed high-temperature gas cooled reactor physical model by using a Monte Carlo physical calculation program, and calculating to obtain emergent neutron flow, incident neutron flow and non-uniform neutron surface flux of three-dimensional cylindrical geometric segments in each layer of reflecting layers in the pebble-bed high-temperature gas cooled reactor physical model in the radial, circumferential and axial directions;
step 3: calculating to obtain uniform neutron surface flux of the corresponding surface of each three-dimensional cylindrical geometric segment by utilizing the outgoing neutron flow and the incoming neutron flow obtained in the step 2;
according to the neutron diffusion theory approximation, the uniform neutron surface flux is equal to twice the sum of the outgoing neutron flow and the incoming neutron flow of the surface:
(1)
(2)
wherein:
-representing the direction, comprising radial +>Circumference->And axial->;
-the surface of the nub;
-segment number;
-differentiating the blocks in +.>Two faces in the direction, wherein +.>The faces represent the radial outer diameter face, the axially facing face and the circumferential clockwise face,/->The faces represent radially inner diameter faces, axially downwardly facing faces and circumferentially anticlockwise faces;
-the first part of%>Individual blocks->Direction +.>First->Uniform neutron surface flux of the population;
-the first part of%>Individual blocks->Direction +.>First->A stream of incident neutrons of the population;
-the first part of%>Individual blocks->Direction +.>First->An outgoing neutron stream of the population;
-the first part of%>Individual blocks->Direction +.>First->Uniform neutron surface flux of the population;
-the first part of%>Individual blocks->Direction +.>First->A stream of incident neutrons of the population;
-the first part of%>Individual blocks->Direction +.>First->An outgoing neutron stream of the population;
step 4: calculating a discontinuous factor of the corresponding surface of each three-dimensional cylinder geometric node block by utilizing the non-uniform neutron surface flux obtained in the step 2 and the uniform neutron surface flux obtained in the step 3, wherein a calculation formula is as follows;
(3)
(4)
wherein:
-the first part of%>Individual blocks->Direction +.>First->A discontinuity factor for the population;
-the first part of%>Individual blocks->Direction +.>First->A group non-uniform neutron surface flux;
-the first part of%>Individual blocks->Direction +.>First->A discontinuity factor for the population;
-the first part of%>Individual blocks->Direction +.>First->A non-uniform neutron surface flux of the population;
and (3) repeating the step (3) and the step (4) to obtain the discontinuous factors of all surfaces of all the sections, and then using the discontinuous factors for strong absorber diffusion calculation correction.
Compared with the prior art, the invention has the following advantages: the steps of two-dimensional non-uniform transport calculation and two-dimensional fixed source diffusion calculation are omitted, non-uniform neutron surface flux and uniform neutron surface flux required by calculating the discontinuous factors are directly obtained through the Monte Carlo calculation program, the discontinuous factors are accurately obtained in a simpler and more convenient mode, and the method is subsequently applied to full-stack diffusion calculation of the pebble-bed high-temperature gas cooled reactor, so that calculation errors caused by the existence of a strong absorber can be effectively reduced.
Drawings
FIG. 1a is an axial cross-sectional schematic view of an HTR-PM simplified model of an exemplary project of a high temperature gas cooled reactor nuclear power plant.
FIG. 1b is a schematic axial longitudinal section of a simplified HTR-PM model of an exemplary engineering of a high temperature gas cooled reactor nuclear power plant.
FIG. 2 is a general flow chart of a discontinuous factor calculation method applied to a pebble-bed high-temperature gas cooled reactor.
Detailed Description
The invention is described in further detail below with reference to the attached drawings and detailed description:
dividing the spherical bed type high-temperature gas cooled reactor into three-dimensional cylindrical geometric sections according to the actual layered structure of a reflecting layer of the spherical bed type high-temperature gas cooled reactor, constructing a physical model of the spherical bed type high-temperature gas cooled reactor by using a Monte Carlo physical calculation program, and carrying out neutron transport calculation to obtain outgoing neutron flow, incoming neutron flow and non-uniform neutron surface flux of each surface of the sections of the reflecting layer in each direction; then calculating to obtain uniform neutron surface flux of the corresponding surfaces of all three-dimensional cylindrical geometric segments by utilizing the emergent neutron flow and the incident neutron flow; and finally, calculating to obtain discontinuous factors of all surfaces of all three-dimensional cylinder geometric section blocks by utilizing non-uniform neutron surface flux and uniform neutron surface flux of the corresponding surfaces of all three-dimensional cylinder geometric section blocks, and subsequently, calculating and correcting for strong absorber diffusion.
The following describes the calculation of the discontinuity factor and the application of the discontinuity factor in the strong absorber diffusion calculation correction by taking HTR-PM as an example of the high temperature gas cooled reactor nuclear power station demonstration project, and specifically comprises the following steps:
step 1: an exemplary engineering HTR-PM simplified model schematic diagram of a high temperature gas cooled reactor nuclear power plant is shown in FIG. 1, and 7 reflecting layers and 1 carbon boride bricks are arranged outside a spherical reactor core. Constructing an HTR-PM model shown in FIG. 1 by utilizing Monte Carlo particle transport calculation software NECP-MCX, wherein the HTR-PM model is divided into 9 areas only in the radial direction according to a spherical reactor core, 7 reflecting layers and 1 layer of carbon boride bricks, the areas are not divided in the axial direction and the circumferential direction, and each layer of cylindrical ring is regarded as one area;
step 2: the Monte Carlo particle transport calculation software NECP-MCX is used for carrying out non-uniform neutron transport calculation on the HTR-PM model shown in the figure 1 to obtain the emergent neutron flow, the incident neutron flow and the non-uniform neutron surface flux of each layer of reflecting layer (comprising the boride carbon bricks) area with 2 surfaces (inner diameter surface and outer diameter surface) in the radial direction, wherein the inner diameter surface is taken as #) The external diameter surface is (++>) A noodle;
step 3: based on the outgoing neutron flow and the incoming neutron flow on the radial surface of each layer of reflecting layer area, the uniform neutron surface flux is calculated:
(1)
(2)
wherein:
-representing a radial direction;
-area number in radial direction, increasing from the core to the outside of the core, the value range is +.>;
-the first part of%>The +.about.th of the radially outer diameter surface of the individual zones>Uniform neutron surface flux of the population;
-the first part of%>The +.about.th of the radially outer diameter surface of the individual zones>A stream of incident neutrons of the population;
-the first part of%>The +.about.th of the radially outer diameter surface of the individual zones>An outgoing neutron stream of the population;
-the first part of%>The first +.>Uniform neutron surface flux of the population;
-the first part of%>The first +.>A stream of incident neutrons of the population;
-the first part of%>The first +.>An outgoing neutron stream of the population;
step 4: based on the non-uniform neutron surface flux and the uniform neutron surface flux of the radial surfaces of the areas of the reflecting layers, calculating the discontinuity factors of all radial surfaces of all areas:
(3)
(4)
wherein:
-the first part of%>The +.about.th of the radially outer diameter surface of the individual zones>A discontinuity factor for the population;
-the first part of%>The +.about.th of the radially outer diameter surface of the individual zones>A non-uniform neutron surface flux of the population;
-the first part of%>The first +.>A discontinuity factor for the population;
-the first part of%>The first +.>A non-uniform neutron surface flux of the population;
calculating HTR-PM one-dimensional cylinder problem using NEM diffusion program to obtain effective proliferation coefficients considering discontinuity factor and not considering discontinuity factor, respectivelyBy fine-mesh differential diffusionThe results of the calculation of the sequence CITATION are compared as a benchmark, and the results are shown in Table 1.
TABLE 1 comparison of the calculation results of HTR-PM one-dimensional cylindrical problem
As can be seen from table 1, the discontinuous factor is calculated based on the method of the invention, and the discontinuous factor is applied to the diffusion calculation of the high-temperature gas cooled reactor with the ball bed type and comprises a strong absorber, so that the calculation error can be effectively reduced. In addition, because neutron leakage correction is required to be considered in physical computation of the reactor core of the pebble-bed high-temperature gas cooled reactor, and the neutron leakage correction cannot be considered in the process of computing uniform neutron surface flux by the traditional method, and a high-precision discontinuous factor cannot be obtained through statistics, the effect of correcting strong absorber diffusion computation by using the discontinuous factor of the traditional method is inferior to that of correcting the discontinuous factor by using the method.
The innovation of the method is that: the method comprises the steps of directly calculating to obtain uniform neutron surface flux based on the outgoing neutron flow and the incoming neutron flow obtained through Monte Carlo non-uniform transport calculation according to neutron diffusion theory approximation, and calculating to obtain accurate discontinuity factors by combining the non-uniform neutron surface flux obtained through non-uniform transport calculation.
Claims (2)
1. A discontinuous factor calculation method applied to a pebble-bed high-temperature gas cooled reactor is characterized by comprising the following steps of: the method comprises the following steps:
step 1: dividing the spherical high-temperature gas cooled reactor reflecting layer into three-dimensional cylindrical geometric sections according to the actual layered structure of the spherical high-temperature gas cooled reactor reflecting layer in the radial direction, the circumferential direction and the axial direction, and building a spherical high-temperature gas cooled reactor physical model by utilizing a Monte Carlo physical calculation program;
step 2: carrying out non-uniform neutron transport calculation on a pebble-bed high-temperature gas cooled reactor physical model by using a Monte Carlo physical calculation program, and calculating to obtain emergent neutron flow, incident neutron flow and non-uniform neutron surface flux of three-dimensional cylindrical geometric segments in each layer of reflecting layers in the pebble-bed high-temperature gas cooled reactor physical model in the radial, circumferential and axial directions;
step 3: calculating to obtain uniform neutron surface flux of the corresponding surface of each three-dimensional cylindrical geometric segment by utilizing the outgoing neutron flow and the incoming neutron flow obtained in the step 2;
according to the neutron diffusion theory approximation, the uniform neutron surface flux is equal to twice the sum of the outgoing neutron flow and the incoming neutron flow of the surface:
(1)
(2)
wherein:
-representing the direction, comprising radial +>Circumference->And axial->;
-the surface of the nub;
-segment number;
、/>-differentiating the blocks in +.>Two faces in the direction, wherein +.>The faces represent the radial outer diameter face, the axially facing face and the circumferential clockwise face,/->The faces represent radially inner diameter faces, axially downwardly facing faces and circumferentially anticlockwise faces;
-the first part of%>Individual blocks->Direction +.>First->Uniform neutron surface flux of the population;
-the first part of%>Individual blocks->Direction +.>First->A stream of incident neutrons of the population;
-the first part of%>Individual blocks->Direction +.>First->An outgoing neutron stream of the population;
-the first part of%>Individual blocks->Direction +.>First->Uniform neutron surface flux of the population;
-the first part of%>Individual blocks->Direction +.>First->A stream of incident neutrons of the population;
-the first part of%>Individual blocks->Direction +.>First->An outgoing neutron stream of the population;
step 4: calculating a discontinuous factor of the corresponding surface of each three-dimensional cylinder geometric node block by utilizing the non-uniform neutron surface flux obtained in the step 2 and the uniform neutron surface flux obtained in the step 3, wherein a calculation formula is as follows;
(3)
(4)
wherein:
-the first part of%>Individual blocks->Direction +.>First->A discontinuity factor for the population;
-the first part of%>Individual blocks->Direction +.>First->A group non-uniform neutron surface flux;
-the first part of%>Individual blocks->Direction +.>First->A discontinuity factor for the population;
-the first part of%>Individual blocks->Direction +.>First->A non-uniform neutron surface flux of the population;
and (3) repeating the step (3) and the step (4) to obtain the discontinuous factors of all surfaces of all the sections, and then using the discontinuous factors for strong absorber diffusion calculation correction.
2. The method for calculating the discontinuity factor applied to the pebble-bed high-temperature gas cooled reactor according to claim 1, wherein the method comprises the following steps of: the Monte Carlo physical calculation program adopts MCNP, monte Carlo continuous energy neutron and photon transport program Serpent, stack Monte Carlo analysis program RMC or Monte Carlo particle transport calculation software NECP-MCX.
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