A kind of method and equipment for critical boron concentration search

A technology of boron concentration and equipment, applied in design optimization/simulation, complex mathematical operations, reduction of greenhouse gases, etc., can solve problems such as large impact, low search efficiency, and increased calculation amount, so as to avoid human subjective guessing and improve Search efficiency, the effect of reducing the number of searches

Active Publication Date: 2022-07-08
NUCLEAR POWER INSTITUTE OF CHINA
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Problems solved by technology

[0004] (1) The first problem is that the initial two generations of iterations are assumed to calculate the boron concentration, and the subsequent iterative process is greatly affected by the selection of the initial two generations of boron concentration;
[0005] (2) The second problem is that the calculation of boron concentration value is obtained by the ratio of the difference between the two calculations and the difference of boron concentration, there is a large deviation, and the search efficiency is not high
For the "one-step method" transport program that is currently being developed, due to the increase in the calculation of solving the neutron transport equation, the traditional critical parameter search method leads to more searches and a larger calculation load, so it is necessary to develop a new The critical search method of

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  • A kind of method and equipment for critical boron concentration search
  • A kind of method and equipment for critical boron concentration search
  • A kind of method and equipment for critical boron concentration search

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Embodiment 1

[0061] This embodiment provides a method for searching for critical boron concentration by using an inverse perturbation algorithm. The derivation process is as follows:

[0062] Step 1, calculation of boron concentration value based on perturbation theory

[0063] The key step in the search for critical boron concentration is to obtain the boron concentration value, which can be calculated by perturbation theory. The neutron equilibrium equation can be expressed as equation (1):

[0064] Aψ-λBψ=0 (9);

[0065] Among them, B is the fission operator, A is the sum of other operators except the fission operator, λ is the reciprocal of the effective multiplication factor, and ψ is the neutron flux. The perturbed state of Equation (16) can be expressed as Equation (2):

[0066] A'ψ'-λ'B'ψ'=0(10); where δ represents partial differential; A'=A+δA, B'=B+δB, λ'=λ+δλ, ψ'=ψ+ δψ, substituted into equation (16), retaining the first-order differential term, ignoring higher-order small q...

Embodiment 2

[0087] Based on a method for realizing critical boron concentration search using an inverse perturbation algorithm provided in Embodiment 1, a specific calculation case is given as follows:

[0088] like figure 1 As shown, the specific process of the inverse perturbation algorithm (IPM) of the present invention and the existing Newton-Raphson method (NPM) are shown. Both of them complete the function of critical search through iteration, and the difference lies in the calculation of the boron concentration value. . The inverse perturbation algorithm uses the perturbation theory to calculate the boron concentration value by combining the neutron flux and the accompanying neutron flux, without the need for two critical calculations; while the Newton-Raphson method requires two calculations of the boron concentration value to obtain the effective proliferation factor k eff Only then can the boron concentration value be calculated. Apply the above two methods to a cell benchmark...

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Abstract

The invention discloses a critical boron concentration search method and equipment, which are used to realize the critical boron concentration search function of a reactor physical calculation program. The calculation formula of boron concentration value is deduced by using perturbation theory; the neutron flux and accompanying neutron flux are calculated to calculate the boron concentration value; the critical boron concentration function is realized by the inverse perturbation algorithm flow. Compared with the Newton-Raphson method used in traditional industrial applications, this method adopts an iterative method for critical search calculation; the biggest difference between the two is that the inverse perturbation algorithm can obtain the boron concentration value of the current state without assuming the boron concentration twice. The boron concentration in the target state is thus predicted. The inverse perturbation algorithm proposed by the invention has higher search efficiency and search precision.

Description

technical field [0001] The invention relates to the technical field of nuclear reactor cores, in particular to a method and equipment for searching for a critical boron concentration. Background technique [0002] Criticality Search is a common problem in reactor physics, that is, to determine an unknown parameter of the reactor to make the reactor operate in a critical state. The generalized criticality search can be considered as searching for a certain parameter to make the reactor operate in the target state. The target parameters to be searched are called critical parameters, such as critical boron concentration, critical control rod position, etc. Criticality search can be considered as the inverse process of criticality calculation, and has important applications in burnup calculation and long cycle analysis. [0003] At present, the "two-step" procedure is still the mainstream of industrial applications, and the critical parameter search method is mostly used in th...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/20G06F17/11
CPCG06F30/20G06F17/11Y02E30/30
Inventor 吴屈于颖锐李庆彭星杰赵文博刘琨吴文斌龚禾林
Owner NUCLEAR POWER INSTITUTE OF CHINA
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