Method and equipment for solving physical response sensitivity of reactor
A response sensitivity and reactor technology, which is applied in the field of solving the physical response sensitivity of the reactor, can solve the problems of the increase of generalized neutron transport equations, the increase of calculation amount, the large amount of program code changes, etc., so as to achieve universality, portability, The effect of improving computational efficiency
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Embodiment 1
[0075] A method for solving the sensitivity of reactor physical response, the specific steps are:
[0076] Step 1. Sampling nuclear data based on covariance matrix decomposition;
[0077] The nuclear data is sampled by the following formula:
[0078]
[0079] in, Is a vector composed of n nuclear data, and satisfies the mean value Covariance matrix is the multidimensional normal distribution of M; Obey the standard normal distribution N(0,1); U is a unitary matrix whose columns are M 2 Eigenvector of , M=UVU T ; V is a diagonal matrix, the value of its diagonal elements is Μ 2 The square root of the eigenvalue, V=V 1 / 2 V 1 / 2 .
[0080] Step 2: Obtain nuclear data samples with the sampling method in step 1, and further obtain the sensitivity of the generalized response to nuclear data through forward sensitivity analysis based on the reduced-order model.
[0081] The forward sensitivity analysis based on the reduced-order model is specifically as follows:
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Embodiment 2
[0088] Based on the method provided in Example 1, the selected analysis object is the PWR cell TMI-1, which is composed of fuel elements, cladding, air gaps and moderators from the inside out ( figure 1 is a schematic diagram, and Table 1 is the specific calculation parameters). The calculation program selects the reactor core physical calculation program KYADJ. KYADJ uses the 45-group multi-group nuclear database as input. The calculation of neutron transport and conjugate neutron transport uses a two-dimensional one-dimensional coupling algorithm, which can be calculated effectively based on traditional perturbation theory. proliferation factor k eff Sensitivity to nuclear data.
[0089] Table 1 Main calculation parameters of TMI-1 cell
[0090]
[0091] Generalized Response Selection 235 The ratio of the fission to capture reaction rate of U, the analyzed nuclear data is 235 U fission cross-section, the nuclear data dimension is n=45, and the reduced-order model sele...
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