CN111400869B - Reactor core neutron flux space-time evolution prediction method, device, medium and equipment - Google Patents
Reactor core neutron flux space-time evolution prediction method, device, medium and equipment Download PDFInfo
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- CN111400869B CN111400869B CN202010115365.4A CN202010115365A CN111400869B CN 111400869 B CN111400869 B CN 111400869B CN 202010115365 A CN202010115365 A CN 202010115365A CN 111400869 B CN111400869 B CN 111400869B
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Abstract
The invention provides a method, a device, a medium and equipment for predicting reactor core neutron flux space-time evolution, wherein the method comprises the following steps: collecting neutron flux calculated values of different reactor core states; preparing an expansion basis function; collecting the measurement value of a detector at the current time of the reactor core; calculating an expansion coefficient at the current moment; fitting the expansion coefficients of each order respectively to obtain a change function of the expansion coefficients along with time; extrapolating the expansion coefficient of each order to obtain an extrapolation value of the expansion coefficient at the subsequent moment; and calculating to obtain a neutron flux prediction result at a subsequent moment according to the expansion coefficient extrapolation value and the expansion basis function. The method can realize the prediction of the neutron flux of the reactor core at the subsequent time on the basis of the online monitoring result of the neutron flux of the reactor core at the current time and the previous time, and analyze the time-space evolution process of the neutron flux of the reactor core so as to ensure the safety of the reactor core of the nuclear reactor.
Description
Technical Field
The invention relates to the technical field of nuclear reactor core operation and safety, in particular to a method, a device, a medium and equipment for predicting reactor core neutron flux space-time evolution.
Background
In the normal operation process of a nuclear reactor, key safety parameters are required to be ensured to meet safety limit values; when the key safety parameters exceed the limits, the state of the reactor core needs to be confirmed, the influence of accident development is determined through additional safety evaluation, and whether the specified design criteria and safety criteria are met or not is verified. The reactor core neutron flux is a basic input parameter when calculating key safety parameters. Therefore, the real-time monitoring and prediction of the neutron flux in the reactor core have important significance for guaranteeing the safety of the reactor core of the nuclear reactor.
At present, various methods, such as a harmonic synthesis method, a simulation correction method, a coupling coefficient method, a polynomial expansion method, a weight factor method and the like, are used at home and abroad to realize the real-time monitoring of neutron flux in a single stable reactor core state. The method realizes real-time monitoring of reactor core power distribution or neutron flux by solving the real-time state of the reactor core and combining neutron detectors inside and outside the reactor and thermocouple measurement signals and the like. However, these methods only consider spatial effects and not temporal evolution for core homeostasis during implementation.
Among a plurality of existing reactor core neutron flux real-time monitoring methods, a method based on a function expansion idea can more easily consider the reactor core neutron flux time evolution characteristics in real-time monitoring, and can obtain the expansion basis functions in different modes to enable the expansion basis functions to contain the reactor core time evolution characteristics, for example, a first-order time-varying basis function is added in a harmonic expansion method; the neutron flux in the reactor core at different time points is decomposed by an intrinsic orthogonal decomposition technology to obtain an expansion basis function containing more time characteristics and the like.
However, on the one hand, the effect and applicability of these improved methods are to be further verified and confirmed, and on the other hand, these improved methods are still only directed to on-line monitoring of the neutron flux in the reactor core, not to a neutron flux spatial-temporal evolution prediction method.
Accordingly, the prior art is in need of improvement and development.
Disclosure of Invention
The invention aims to overcome the defects and shortcomings in the prior art, and provides a reactor core neutron flux space-time evolution prediction method, a device, a medium and equipment.
In order to achieve the purpose, the invention is realized by the following technical scheme: a reactor core neutron flux space-time evolution prediction method is characterized by comprising the following steps: the method comprises the following steps:
s1, collecting neutron flux calculation values phi (r, t) of different reactor core states n ) Where r represents a spatial position, N1, 2.., N being the number of different core states;
s2, calculating the value phi (r, t) of N neutron fluxes n ) Orthogonal decomposition is carried out on the formed matrix to obtain orthogonal basis so as to obtain an expansion basis function
n＝1,2,...,N；
S3, collecting the current time detector measurement value S (r) of the reactor core d ,t i ) Wherein r is d D is the detector position, D is the number of detectors, t is 1,2 i The current time when the reactor core is actually operated;
s4, according to the current time detector measuring value S (r) of the reactor core d ,t i ) And expanding the basis functions
Calculating the expansion coefficient a of the current time n (t i )，n＝1,2,...,N；
S5, expansion coefficient a according to current time n (t i ) And the expansion coefficient a at the preceding time n (t 0 ),a n (t 1 ),...,a n (t i-1 ) Fitting the expansion coefficients of each order respectively to obtain a time-dependent variation function of the expansion coefficients
n＝1,2,...,N；
S6, according to the change function of the expansion coefficient with time
Extrapolating the expansion coefficient of each order to obtain the extrapolation value of the expansion coefficient at the subsequent time
m≥1；
S7, extrapolating the value according to the expansion coefficient
And expanding the basis functions
Calculating to obtain neutron flux prediction result of subsequent time
Preferably, the neutron flux calculation value in step S1 is obtained by simulating different core states calculated by the current core by the core fuel management program, and the neutron flux calculation value is acquired at different times t n Calculated neutron flux of phi (r, t) n )。
Preferably, in step S1, the core conditions include core average burnup, boron concentration, power level, and control rod position.
Preferably, in step S5, the fitting of the expansion coefficients of each order is a polynomial fitting.
Preferably, in step S7, the neutron flux prediction result is:
a reactor core neutron flux space-time evolution prediction device is characterized in that: the method comprises the following steps:
a data collection module for collecting neutron flux calculation value phi (r, t) of different reactor core states n ) N, N is the number of different core states;
an expansion base preparation module for calculating the value phi (r, t) of N neutron fluxes n ) Orthogonal decomposition is carried out on the formed matrix to obtain orthogonal basis so as to obtain an expansion basis function
n＝1,2,...,N；
A real-time data acquisition module for acquiring the measured value s (r) of the detector at the current time of the reactor core d ,t i ) D1, 2, D is the number of detectors, t i The current time when the reactor core is actually operated;
a processing module for measuring the value s (r) of the detector at the current time of the reactor core d ,t i ) And unfolding the basis functions
Calculating the expansion coefficient a of the current time n (t i ) N is 1,2, ·, N; according to the expansion coefficient a of the current time n (t i ) And the expansion coefficient a of the preceding time n (t 0 ),a n (t 1 ),...,a n (t i-1 ) Fitting the expansion coefficients of each order respectively to obtain a time-dependent variation function of the expansion coefficients
N is 1,2, ·, N; according to the function of the expansion coefficient with time
Extrapolating the expansion coefficient of each order to obtain the extrapolated value of the expansion coefficient at the subsequent time
m≥1；
A prediction module for extrapolating a value according to the expansion coefficient
And expanding the basis functions
Calculating to obtain neutron flux prediction result of subsequent time
A storage medium having stored thereon a computer program which, when executed by a processor, causes the processor to carry out the above-described method of predicting the spatio-temporal evolution of neutron flux in a core.
A computing apparatus comprising a processor and a memory for storing a program executable by the processor, wherein the processor, when executing the program stored in the memory, implements the method for predicting the spatial-temporal evolution of neutron flux in an core as described above.
Compared with the prior art, the invention has the following advantages and beneficial effects:
1. by applying orthogonal decomposition and basis function expansion technologies and combining fitting and extrapolation of expansion coefficients, the method not only can realize online monitoring of the neutron flux of the reactor core at the current moment, but also can realize prediction of the neutron flux of the reactor core at the subsequent moment, and realizes prediction of the time-space evolution of the neutron flux of the reactor core on the basis of the prior art and the method; the prediction result can be used for safety judgment of the nuclear reactor core subsequently so as to ensure the safety of the nuclear reactor core;
2. the neutron flux unfolding basis function can simultaneously comprise the spatial characteristics of three-dimensional neutron fluxes in different reactor core states, namely at different moments, and has the characteristics of time and space evolution;
3. the neutron flux expansion coefficient is related to time, is fitted into a function of time and is extrapolated, and the neutron flux time-space evolution characteristic of the reactor core can be predicted by combining the expansion basis function;
4. the neutron flux expansion basis function is prepared in advance, only the solution, fitting and extrapolation of the expansion coefficient are needed when the reactor core runs, and the calculation speed is high and the time is short.
Drawings
FIG. 1 is a flow chart of a reactor core neutron flux space-time evolution prediction method of the invention;
FIG. 2 is a schematic diagram of an exemplary PWR core assembly arrangement in accordance with an embodiment of the present invention;
FIG. 3 is a graph showing the results of fitting and extrapolation of expansion coefficients of order 1 for an embodiment used in the present invention;
FIG. 4 is a graph showing the results of 7 th order expansion coefficient fitting and extrapolation for an embodiment of the present invention.
Detailed Description
The invention is described in further detail below with reference to the drawings and the detailed description.
Example one
As shown in fig. 1, fig. 1 is a flow chart of a reactor core neutron flux space-time evolution prediction method of the present invention, which comprises the following steps:
s1, collecting neutron flux calculation values phi (r, t) of different reactor core states n ) Where r represents a spatial position, N1, 2.., N being the number of different core states; the core state refers to average fuel consumption, boron concentration, power level and control rod position of the core, and corresponds to different time t n ；
S2, calculating the N neutron fluxes collected in the step S1 to obtain a calculated value phi (r, t) n ) Composed matrix
Performing orthogonal decomposition, wherein R is the number of spatial positions of neutron flux to obtain orthogonal basis to obtain an expansion basis function
N is 1,2,. cndot.n; unfolding basis functions
Preparing and storing in advance for later use;
s3, collecting the current time detector measurement value S (r) of the reactor core d ,t i ) Wherein r is d D is the detector position, D is the number of detectors, t is 1,2 i The current time when the reactor core is actually operated;
s4, according to the current core time detector measured value S (r) collected in the step S3 d ,t i ) And step S2 preparing the expansion basis function in advance
Simultaneously solving the relation between the measured value of each position detector and the expansion basis functionEquation set of formula
Calculating the expansion coefficient a of the current time n (t i )，n＝1,2,...,N；
S5, the expansion coefficient a of the current time calculated according to the step S4 n (t i ) And the expansion coefficient a calculated from the preceding time n (t 0 ),a n (t 1 ),...,a n (t i-1 ) Fitting expansion coefficients of each order separately
Calculation of c 0 ,c 1 ,c 2 ,., obtaining the variation function of the expansion coefficient along with the time
n＝1,2,...,N；
S6, according to the change function of the expansion coefficient obtained in the step S5 along with the time
Extrapolating the expansion coefficient of each order to obtain the extrapolation value of the expansion coefficient at the subsequent time
m≥1；
S7, extrapolating the value according to the expansion coefficient obtained in the step S6
And the expansion basis function obtained in step S2
Calculating to obtain neutron flux prediction result of subsequent time
Compared with the prior art, the reactor core neutron flux space-time evolution prediction method is based on the expansion of the neutron flux function, the solution of the expansion basis function adopts a preparation-in-advance mode, the key point is the fitting and extrapolation of the time-related expansion coefficient, the purpose of obtaining the reactor core neutron flux space-time evolution prediction result is achieved, and the method has the following outstanding advantages:
1) the neutron flux unfolding basis function can simultaneously comprise the spatial characteristics of three-dimensional neutron fluxes in different reactor core states, namely at different moments, and has the characteristics of time and space evolution;
2) the neutron flux expansion coefficient is related to time, is fitted into a function of time and is extrapolated, and the neutron flux time-space evolution characteristic of the reactor core can be predicted by combining the expansion basis function;
3) the neutron flux expansion basis function is prepared in advance, only the solution, fitting and extrapolation of the expansion coefficient are needed when the reactor core runs, and the calculation speed is high and the time is short.
In a specific embodiment of the method for predicting the neutron flux time-space evolution in the reactor core, specifically, the neutron flux calculated value in the step S1 is a neutron flux calculated value in different reactor core states calculated by a reactor core fuel management program simulating a current reactor core.
In the step S2, the matrix composed of neutron fluxes is subjected to orthogonal decomposition, and the method of orthogonal decomposition is not limited in the present invention, and only the orthogonal basis, i.e., the unfolded basis function, is obtained, and the unfolded basis function is prepared and stored in advance before the on-line monitoring and prediction of the neutron fluxes in the reactor core, and does not need to be calculated on site in real time.
In step S4, the focus is to calculate the expansion coefficient of the core at the current time to facilitate the fitting and extrapolation in the subsequent steps, rather than the purpose of solving the online monitoring result of the neutron flux or power distribution in the core as described in other methods or inventions, which is different from the other inventions.
In the step S5, fitting the expansion coefficients according to the expansion coefficients at the current time and the expansion coefficients at the preceding time of the reactor core is performed, but the present invention does not limit the method of function fitting, but proposes to select a polynomial fitting according to the variation trend and the range of the expansion coefficients, and selects 2 to 3 orders for the highest order of the polynomial fitting.
In step S6, when the expansion coefficient is extrapolated for the subsequent time according to the expansion coefficient function fitting result, the extrapolation time step and the number are not limited, but the extrapolation that is too long will result in accumulated deviation.
In order to verify the effectiveness of the method for predicting the neutron flux spatial-temporal evolution of the reactor core, a typical PWR reactor core design verification example is adopted, a typical PWR reactor core assembly arrangement schematic diagram of the embodiment used in the invention is shown in FIG. 2, and different fuel enrichment degrees are represented in different shading modes in the diagram.
According to the method, the neutron flux space-time evolution of the reactor core is predicted, and the current time of the reactor core is t 9 The current reactor core state is average burnup 4800MWd/tU, critical boron concentration and relative power of 100 percent, and control rods are all extracted out of the reactor core; preamble time t 1 -t 8 The corresponding core states are that the average fuel consumption of the core is 4000 MWd/tU-4700 MWd/tU, the interval is 100MWd/tU, the critical boron concentration and the relative power are 100 percent, and all control rods are provided.
Expansion coefficient a of each order according to current time and preorder time n (t 1 ),a n (t 2 ),...,a n (t 9 ) N is 1,2,.. times.n, and each order of expansion coefficient function fitting is performed by using a second order polynomial, namely, a n (t)＝c 0 +c 1 t+c 2 t 2 And performing expansion coefficient extrapolation to calculate t 10 -t 13 The corresponding core state of the expansion coefficient at the moment is that the average core burnup is 4800 MWd/tU-5100 MWd/tU interval is 100MWd/tU, the critical boron concentration and the relative power are 100%, and all control rods are provided.
Fig. 3 and 4 are schematic diagrams showing the fitting or extrapolation results of the expansion coefficients of order 1 and 7. Therefore, the change of the expansion coefficient (1) along with time accords with linear (1 st order) and second order (7 th order) rules, and the function fitting is easy to carry out; (2) the expansion coefficient extrapolation is easy to carry out; (3) the time of expansion coefficient extrapolation is not too much, and the accumulation of deviation is reduced.
Predicting reactor core three-dimensional neutron flux by using extrapolated expansion coefficient, t 10 The deviation of the prediction result at the moment and the real result is small, the deviation of the three-dimensional neutron flux is 0.5%, the radial deviation is 0.07%, and the axial deviation is 0.04%; for the t-th 13 At time points, the errors of the predicted results and the actual results of the three-dimensional, radial and axial distributions are increased to 2.5%, 1% and 0.15%, respectively. The method for predicting the neutron flux space-time evolution in the reactor core has good effect.
Example two
In order to implement the embodiment, a method for predicting the neutron flux spatial-temporal evolution in a reactor core is provided, in this embodiment, a device for predicting the neutron flux spatial-temporal evolution in a reactor core includes:
a data collecting module for collecting neutron flux calculation values phi (r, t) of different reactor core states n ) N is the number of different core states;
an expansion base preparation module for calculating the value phi (r, t) of N neutron fluxes n ) Orthogonal decomposition is carried out on the formed matrix to obtain orthogonal basis so as to obtain an expansion basis function
n＝1,2,...,N；
A real-time data acquisition module for acquiring the measured value s (r) of the detector at the current time of the reactor core d ,t i ) D is 1,2, D is the number of detectors, t i The current time when the reactor core is actually operated;
a processing module for measuring the value s (r) of the detector at the current time of the reactor core d ,t i ) And expanding the basis functions
Calculating the expansion coefficient a of the current time n (t i ) N is 1,2, ·, N; according to the expansion coefficient a of the current time n (t i ) And the expansion coefficient a at the preceding time n (t 0 ),a n (t 1 ),...,a n (t i-1 ) Are respectively aligned withFitting the expansion coefficient of each order to obtain the time-varying function of the expansion coefficient
N is 1,2, ·, N; according to the function of the expansion coefficient with time
Extrapolating the expansion coefficient of each order to obtain the extrapolated value of the expansion coefficient at the subsequent time
m≥1；
A prediction module for extrapolating a value according to the expansion coefficient
And unfolding the basis functions
Calculating to obtain neutron flux prediction result of subsequent time
EXAMPLE III
The present embodiment provides a storage medium having stored thereon a computer program which, when executed by a processor, causes the processor to execute the method for predicting spatial-temporal evolution of neutron flux in a core as described in the first embodiment.
Example four
The embodiment provides a computing device, which comprises a processor and a memory for storing a program executable by the processor, wherein the processor executes the program stored in the memory to implement the method for predicting the temporal-spatial evolution of neutron flux in the core according to the first embodiment.
The above embodiments are preferred embodiments of the present invention, but the present invention is not limited to the above embodiments, and any other changes, modifications, substitutions, combinations, and simplifications which do not depart from the spirit and principle of the present invention should be construed as equivalents thereof, and all such changes, modifications, substitutions, combinations, and simplifications are intended to be included in the scope of the present invention.
Claims (8)
1. A reactor core neutron flux space-time evolution prediction method is characterized by comprising the following steps: the method comprises the following steps:
s1, collecting neutron flux calculation values phi (r, t) of different reactor core states n ) Where r represents a spatial position, N is 1,2, N being the number of different core states; t is t n The corresponding time of the nth reactor core state;
s2, calculating the value phi (r, t) of N neutron fluxes n ) Orthogonal decomposition is carried out on the formed matrix to obtain orthogonal basis so as to obtain an expansion basis function
S3, collecting the current time detector measurement value S (r) of the reactor core d ,t i ) Wherein r is d For the detector position, D is 1,2, a, D is the number of detectors, t i The current time when the reactor core is actually operated;
s4, according to the current time of the reactor core, the detector measurement value S (r) d ,t i ) And expanding the basis functions
Calculating the expansion coefficient a of the current time n (t i )，n＝1,2,...,N；
S5, expansion coefficient a according to current time n (t i ) And the expansion coefficient a of the preceding time n (t 0 ),a n (t 1 ),...,a n (t i-1 ) Fitting the expansion coefficients of each order respectively to obtain a time-dependent variation function of the expansion coefficients
S6, according to the change function of the expansion coefficient with time
Extrapolating the expansion coefficient of each order to obtain the extrapolation value of the expansion coefficient at the subsequent time
S7, extrapolating the value according to the expansion coefficient
And unfolding the basis functions
Calculating to obtain neutron flux prediction result of subsequent time
2. The method for predicting the temporal and spatial evolution of neutron flux in an reactor core according to claim 1, wherein: the neutron flux calculated value in the step S1 is obtained by simulating different core states calculated by the current core by the core fuel management program, and acquiring different times t n Calculated neutron flux of phi (r, t) n )。
3. The method for predicting spatial-temporal evolution of neutron flux in a core according to claim 1, wherein: in step S1, the core conditions include core average burnup, boron concentration, power level, and control rod position.
4. The method for predicting spatial-temporal evolution of neutron flux in a core according to claim 1, wherein: in step S5, fitting is performed on the expansion coefficients of each order by polynomial fitting.
5. The method for predicting spatial-temporal evolution of neutron flux in a core according to claim 1, wherein: in step S7, the neutron flux prediction result is:
6. a reactor core neutron flux space-time evolution prediction device is characterized in that: the method comprises the following steps:
a data collection module for collecting neutron flux calculation value phi (r, t) of different reactor core states n ) N, N is the number of different core states; t is t n The corresponding time of the nth reactor core state;
an expansion base preparation module for calculating the value phi (r, t) of N neutron fluxes n ) Orthogonal decomposition is carried out on the formed matrix to obtain orthogonal basis so as to obtain an expansion basis function
A real-time data acquisition module for acquiring the measured value s (r) of the detector at the current time of the reactor core d ,t i ) D is 1,2, D is the number of detectors, t i The current time when the reactor core is actually operated;
a processing module for measuring the value s (r) of the detector at the current time of the reactor core d ,t i ) And unfolding the basis functions
Calculating the expansion coefficient a of the current time n (t i ) N is 1,2, ·, N; according to the expansion coefficient a of the current time n (t i ) And the expansion coefficient a of the preceding time n (t 0 ),a n (t 1 ),...,a n (t i-1 ) Fitting the expansion coefficients of each order respectively to obtain a time-dependent variation function of the expansion coefficients
According to the function of the expansion coefficient with time
Extrapolating the expansion coefficient of each order to obtain the extrapolation value of the expansion coefficient at the subsequent time
A prediction module for extrapolating a value according to the expansion coefficient
And unfolding the basis functions
Calculating to obtain neutron flux prediction result of subsequent time
7. A storage medium having stored thereon a computer program which, when executed by a processor, causes the processor to carry out the method of prediction of spatiotemporal evolution of in-core neutron flux according to any of claims 1 to 5.
8. A computing device comprising a processor and a memory for storing a processor executable program, wherein the processor, when executing the program stored in the memory, implements the method for predicting spatial-temporal evolution of neutron flux in the core of any one of claims 1 to 5.
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