CN106782707B - Method for arranging detectors of reactor core loaded with 177-box fuel assemblies and reactor core thereof - Google Patents
Method for arranging detectors of reactor core loaded with 177-box fuel assemblies and reactor core thereof Download PDFInfo
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- 239000000446 fuel Substances 0.000 title claims abstract description 127
- 230000000712 assembly Effects 0.000 title claims abstract description 95
- 238000000429 assembly Methods 0.000 title claims abstract description 95
- 238000000034 method Methods 0.000 title claims abstract description 32
- 238000004364 calculation method Methods 0.000 claims abstract description 10
- 238000005259 measurement Methods 0.000 claims description 8
- 239000002826 coolant Substances 0.000 claims description 5
- KGBXLFKZBHKPEV-UHFFFAOYSA-N boric acid Chemical compound OB(O)O KGBXLFKZBHKPEV-UHFFFAOYSA-N 0.000 claims description 4
- 239000004327 boric acid Substances 0.000 claims description 4
- 238000003780 insertion Methods 0.000 claims description 4
- 230000037431 insertion Effects 0.000 claims description 4
- FGUUSXIOTUKUDN-IBGZPJMESA-N C1(=CC=CC=C1)N1C2=C(NC([C@H](C1)NC=1OC(=NN=1)C1=CC=CC=C1)=O)C=CC=C2 Chemical compound C1(=CC=CC=C1)N1C2=C(NC([C@H](C1)NC=1OC(=NN=1)C1=CC=CC=C1)=O)C=CC=C2 FGUUSXIOTUKUDN-IBGZPJMESA-N 0.000 claims description 3
- 238000012795 verification Methods 0.000 claims description 2
- 238000012544 monitoring process Methods 0.000 abstract description 17
- 238000005516 engineering process Methods 0.000 description 2
- 238000007619 statistical method Methods 0.000 description 2
- GNFTZDOKVXKIBK-UHFFFAOYSA-N 3-(2-methoxyethoxy)benzohydrazide Chemical compound COCCOC1=CC=CC(C(=O)NN)=C1 GNFTZDOKVXKIBK-UHFFFAOYSA-N 0.000 description 1
- 230000002159 abnormal effect Effects 0.000 description 1
- 238000004458 analytical method Methods 0.000 description 1
- 230000002950 deficient Effects 0.000 description 1
- 238000013461 design Methods 0.000 description 1
- 238000000605 extraction Methods 0.000 description 1
- 239000000463 material Substances 0.000 description 1
- 239000003758 nuclear fuel Substances 0.000 description 1
- 239000000523 sample Substances 0.000 description 1
- 230000035945 sensitivity Effects 0.000 description 1
Classifications
-
- G—PHYSICS
- G21—NUCLEAR PHYSICS; NUCLEAR ENGINEERING
- G21C—NUCLEAR REACTORS
- G21C17/00—Monitoring; Testing ; Maintaining
- G21C17/10—Structural combination of fuel element, control rod, reactor core, or moderator structure with sensitive instruments, e.g. for measuring radioactivity, strain
- G21C17/102—Structural combination of fuel element, control rod, reactor core, or moderator structure with sensitive instruments, e.g. for measuring radioactivity, strain the sensitive element being part of a fuel element or a fuel assembly
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E30/00—Energy generation of nuclear origin
- Y02E30/30—Nuclear fission reactors
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- Physics & Mathematics (AREA)
- Engineering & Computer Science (AREA)
- Plasma & Fusion (AREA)
- General Engineering & Computer Science (AREA)
- High Energy & Nuclear Physics (AREA)
- Monitoring And Testing Of Nuclear Reactors (AREA)
Abstract
The application provides a method of radial placement of stationary detectors for a nuclear reactor core loaded with 177 cartridge fuel assemblies, the method comprising the steps of: determining the fuel assemblies in which the control rod sets are arranged as fuel assemblies in which the fixed detectors are not arranged; interlaced stationary detectors starting from the second line; adding a fixed detector at a proper position or locally adjusting the position of the fixed detector; actually measuring a state parameter value of a fuel assembly in which a stationary detector is arranged; interpolating to obtain state parameter values of all fuel assemblies in a nuclear reactor core; the optimal solution is determined from the fourth series of alternatives using a statistical tool. The present application also provides a nuclear reactor core containing 177 cartridge fuel assemblies including stationary detectors. The application ensures the calculation precision and speed of the reactor core on-line monitoring system and improves the economical efficiency of the reactor core on-line monitoring system.
Description
Technical Field
The present application relates to the field of nuclear reactor measurement and control technology, and more particularly, to a method of radial placement of stationary detectors for a 177 cartridge-loaded nuclear reactor core and a 177 cartridge-loaded nuclear reactor core including the stationary detectors.
Background
In order to enhance the operator's knowledge of the reactor interior, reactor core online monitoring technology has been developed internationally in recent years to provide operators with real-time information of the three-dimensional core power distribution. The three-dimensional power distribution of the reactor can be monitored on line, so that the safety of the reactor can be ensured, and the economic benefit of the reactor can be improved.
During reactor operation, the reactor core online monitoring system measures axial and radial power distribution by means of fixed detectors arranged in the fuel assemblies, checks the degree to which the core power distribution matches the design expectations, monitors the burnup of the individual fuel assemblies, and the like. The radial arrangement scheme of the fixed detectors in the reactor can directly influence the number of the detectors and the accuracy of the measuring signals of the detectors, and finally influence the accuracy of real-time display results of the reactor core on-line monitoring.
Disclosure of Invention
The application aims to provide a radial arrangement method of fixed detectors for a nuclear reactor core loaded with 177 box fuel assemblies and a nuclear reactor core loaded with 177 box fuel assemblies, which can reduce the number of the detectors and improve the economical efficiency of the core online monitoring system while ensuring the calculation accuracy of the core online monitoring system.
To achieve one of the above objects or others, according to an embodiment of one aspect of the present application, there is provided a method of radial placement of stationary detectors for a nuclear reactor core loaded with 177 a cartridge fuel assembly, the method comprising the steps of:
a) Arranging the fuel assemblies and the control rod sets to form a nuclear reactor core loaded with 177 cartridges of fuel assemblies;
b) Determining the fuel assembly with the control rod group as the fuel assembly without the fixed detector so as to reduce the influence of the insertion of the control rod group and the measurement accuracy of the fixed detector;
c) Determining a stationary detector arrangement in the first row, the last row, the first column and the last column such that there is and only one stationary detector in each adjacent two fuel assemblies and avoiding the stationary detector arrangement in the fuel assemblies in which the control rod sets have been arranged, thereby forming a number of first series alternatives;
d) Arranging stationary detectors interlaced from the second row based on the first series of alternatives, respectively, such that there is and only one stationary detector in each adjacent two fuel assemblies in the row in which the stationary detectors are arranged, thereby forming a number of second series of alternatives;
e) Removing the alternative schemes with the fixed detectors with adjacent surfaces from the second series of alternative schemes to obtain a third series of alternative schemes;
f) On the basis of the third series of alternatives, for the fuel assembly which does not meet the condition of at least two fixed detectors around the fuel assembly, adding the fixed detectors at proper positions or locally adjusting the positions of the fixed detectors, thereby obtaining a fourth series of alternatives;
g) For each alternative in the fourth series of alternatives, actually measuring a state parameter value of the fuel assembly in which the stationary detector is arranged;
h) Fitting the obtained three-dimensional discrete state parameter values by adopting a mathematical calculation method aiming at each alternative scheme in the fourth series of alternative schemes, and interpolating to obtain the state parameter values of all fuel assemblies in the nuclear reactor core;
i) Comparing each of the fourth series of alternatives, and determining an optimal scheme from the fourth series of alternatives by using a statistical tool to compare the maximum value, the minimum value, the arithmetic mean value and the variance of the state parameter values.
According to a preferred embodiment of the present application, wherein 15 columns of fuel assemblies are represented by A-H, J-N, P, R and 15 rows of fuel assemblies are represented by 01-15, the addition of stationary detectors in step f) comprises adding stationary detectors to the fuel assemblies at positions A07, A09, R07, R09.
According to a preferred embodiment of the application, in step h), the mathematical calculation method is a thin-plate spline interpolation or a least squares method.
According to a preferred embodiment of the application, the status parameter comprises power, burnup, boric acid concentration or coolant temperature.
According to a preferred embodiment of the present application, the method further comprises the step of experimentally verifying the determined optimal solution after step i).
According to an embodiment of another aspect of the present application, a nuclear reactor core is presented that includes a loaded 177 cartridge fuel assembly of stationary detectors:
the fuel assemblies in the nuclear reactor core are arranged in 15 rows and 15 columns, wherein rows 1-15 have 5, 9, 11, 13, 15, 13, 11, 9, 5 fuel assemblies, respectively, columns 1-15 have 5, 9, 11, 13, 15, 13, 11, 9, 5 fuel assemblies, respectively, the fuel assemblies in each row and each column being surface-adjacent, and the fuel assemblies in the nuclear reactor core being symmetrical about a horizontal central axis and a vertical central axis, respectively;
in the nuclear reactor core there are arranged 53 stationary detectors, symmetrical along a horizontal central axis and a vertical central axis, respectively, wherein 15 columns of fuel assemblies are denoted by a-H, J-N, P, R and 15 rows of fuel assemblies are denoted by 01-15, for 01-08 rows the stationary detectors are arranged on the following fuel assemblies, respectively: j01, G01, M02, K02, H02, F02, D02, P04, M04, K04, H04, F04, D04, B04, P06, M06, K06, H06, F06, D06, B06, R07, a07, P08, M08, K08, H08, F08, D08, B08; for lines 09-15, the stationary detectors are arranged on a fuel assembly symmetrical to the above described fuel assembly with respect to the horizontal central axis on which the stationary detectors are arranged.
According to a preferred embodiment of the application, the stationary detector is used for measuring axial and radial power distribution in a nuclear reactor core.
According to a preferred embodiment of the application, the stationary detector is used for measuring the burnup of the fuel assembly.
According to a preferred embodiment of the application, the control rod assembly is further comprised.
According to the technical scheme, the application provides the radial arrangement method of the fixed detector for the nuclear reactor core loaded with the 177-box fuel assembly, so that the calculation precision and speed of the core online monitoring system are ensured, and meanwhile, the economical efficiency of the core online monitoring system is improved.
The present application achieves a nuclear reactor core containing 177 cartridge fuel assemblies that includes stationary detectors by providing a stationary detector radial placement method for a nuclear reactor core containing 177 cartridge fuel assemblies. The specific arrangement scheme of the fixed detectors comprehensively considers the operation speed of the reactor core three-dimensional power on-line monitoring system, uncertainty caused by the radial arrangement scheme and the economy of the arrangement of the fixed detectors.
Drawings
FIG. 1 is a radial arrangement of 53 stationary detectors of a nuclear reactor core of 177 cartridge fuel assemblies.
Detailed Description
Exemplary embodiments of the present application are described in detail below with reference to the attached drawing figures, wherein the same or similar reference numerals denote the same or similar elements. Furthermore, in the following detailed description, for purposes of explanation, numerous specific details are set forth in order to provide a thorough understanding of the embodiments of the present disclosure. It may be evident, however, that one or more embodiments may be practiced without these specific details. In other instances, well-known structures and devices are shown in the drawings in order to simplify the drawings.
The application provides a radial arrangement method of fixed detectors for a nuclear reactor core loaded with 177 box fuel assemblies, wherein the nuclear reactor core loaded with 177 box fuel assemblies mainly comprises the nuclear fuel assemblies with the active area length of about 4 meters, the 177 box fuel assemblies are arranged in parallel to each other to form 15 rows and 15 columns, wherein rows 1-15 have 5, 9, 11, 13, 15, 13, 11, 9, 5 fuel assemblies, respectively, columns 1-15 have 5, 9, 11, 13, 15, 13, 11, 9, 5 fuel assemblies respectively, the fuel assembly surfaces in each row and each column are adjacent, and the fuel assemblies in the nuclear reactor core are symmetrical along a horizontal central axis and a vertical central axis, respectively. Herein, the component adjacency refers to component surface adjacency, and the surrounding components refer to eight components on the diagonal of the component up, down, left, right, and 45 degree angular directions.
In accordance with the present general inventive concept, there is provided a method of radial placement of stationary detectors for a nuclear reactor core loaded 177 cartridge fuel assemblies, the method comprising the steps of:
a) Arranging the fuel assemblies and the control rod sets to form a nuclear reactor core loaded with 177 cartridges of fuel assemblies;
b) Determining the fuel assembly with the control rod group as the fuel assembly without the fixed detector so as to reduce the influence of the insertion of the control rod group and the measurement accuracy of the fixed detector;
c) Determining a stationary detector arrangement in the first row, the last row, the first column and the last column such that there is and only one stationary detector in each adjacent two fuel assemblies and avoiding the stationary detector arrangement in the fuel assemblies in which the control rod sets have been arranged, thereby forming a number of first series alternatives;
d) Arranging stationary detectors interlaced from the second row based on the first series of alternatives, respectively, such that there is and only one stationary detector in each adjacent two fuel assemblies in the row in which the stationary detectors are arranged, thereby forming a number of second series of alternatives;
e) Removing the alternative schemes with the fixed detectors with adjacent surfaces from the second series of alternative schemes to obtain a third series of alternative schemes;
f) On the basis of the third series of alternatives, for the fuel assembly which does not meet the condition of at least two fixed detectors around the fuel assembly, adding the fixed detectors at proper positions or locally adjusting the positions of the fixed detectors, thereby obtaining a fourth series of alternatives;
g) For each alternative in the fourth series of alternatives, actually measuring a state parameter value of the fuel assembly in which the stationary detector is arranged;
h) Fitting the obtained three-dimensional discrete state parameter values by adopting a mathematical calculation method aiming at each alternative scheme in the fourth series of alternative schemes, and interpolating to obtain the state parameter values of all fuel assemblies in the nuclear reactor core;
i) Comparing each of the fourth series of alternatives, and determining an optimal scheme from the fourth series of alternatives by using a statistical tool to compare the maximum value, the minimum value, the arithmetic mean value and the variance of the state parameter values.
In the method for radial placement of stationary detectors for a nuclear reactor core loaded with 177 cartridges of fuel assemblies according to the present application, the determination of the stationary detector placement takes into account the physical characteristics of the nuclear reactor core based on the fuel assemblies and control rod group placement determination, such as:
1) Since the sensitivity of the stationary detector is related to parameters characterizing the core condition, such as burnup, enrichment of the fuel rods in the vicinity of the detector, boric acid concentration, coolant temperature. For fuel assemblies with control rod sets, the insertion and extraction of the control rods can cause frequent changes in core state parameters such as coolant temperature near the neutron detector, thereby affecting the detector measurement accuracy. Thus, the fuel assembly in which the control rod sets have been arranged no longer has a stationary detector arranged.
2) In the reactor core power on-line monitoring system, the fixed detector signal fitting method can effectively fit the fuel assembly information around the installed detector fuel assemblies. In order to improve the use efficiency of the detector, the detector is ensured to be uniformly arranged, and the fixed detector is arranged in an interlaced mode. At the same time, the fuel assemblies in which the stationary detectors are disposed are not surface-adjacent.
3) To ensure computational accuracy in the fitting of the fixed detector signals in the core power on-line monitoring system, there are at least two arranged detectors around each fuel assembly. To meet this requirement, the number of detector arrangements is increased or adjusted at other locations based on the generated plan.
4) In order to facilitate analysis of signal quality of the detectors at different positions, defective pixels measured by the detectors or abnormal information of partial detectors caused by incorrect loading are removed, so that the measurement signals of the detectors can better cover the whole pile, and the arrangement of the detectors meets the axial symmetry, so that the arrangement of the detectors can mutually check neutron detector measurement data at symmetrical positions.
According to one embodiment of the application, wherein 15 columns of fuel assemblies are represented by A-H, J-N, P, R and 15 rows of fuel assemblies are represented by 01-15, the adding of stationary detectors in step f) comprises adding stationary detectors to the fuel assemblies at positions A07, A09, R07, R09.
According to one embodiment of the application, in step h), the mathematical calculation method is a thin-plate spline interpolation or a least squares method.
According to one embodiment of the application, the status parameter includes power, burnup, boric acid concentration or coolant temperature.
According to one embodiment of the application, the method further comprises the step of performing experimental verification of the determined optimal solution after step i).
FIG. 1 is a schematic illustration of a radial arrangement of stationary detectors of an exemplary nuclear reactor core obtained using the foregoing method of radial arrangement of stationary detectors, which is a preferred embodiment determined from a fourth series of alternatives through steps a) -i) described above, wherein each box represents a cartridge of fuel assemblies, labeled # for the fuel assemblies with stationary detectors arranged.
FIG. 1 is a radial arrangement of 53 stationary detectors of a nuclear reactor core of 177 cartridge fuel assemblies. This arrangement is used in a core employing 177 cartridge fuel assemblies arranged in 15 rows and 15 columns with a total of 53 fuel assemblies in the core measuring the fixed detectors. As shown in fig. 1, a nuclear reactor core comprising a loading 177 cartridges of fuel assemblies of fixed detectors, the fuel assemblies in the nuclear reactor core being arranged in 15 rows and 15 columns, wherein rows 1-15 have 5, 9, 11, 13, 15, 13, 11, 9, 5 fuel assemblies, respectively, columns 1-15 have 5, 9, 11, 13, 15, 13, 11, 9, 5 fuel assemblies, respectively, the fuel assemblies in each row and each column being surface-adjacent, and the fuel assemblies in the nuclear reactor core being symmetrical about a horizontal central axis and a vertical central axis, respectively; in the nuclear reactor core there are arranged 53 stationary detectors, symmetrical along a horizontal central axis and a vertical central axis, respectively, wherein 15 columns of fuel assemblies are denoted by a-H, J-N, P, R and 15 rows of fuel assemblies are denoted by 01-15, for 01-08 rows the stationary detectors are arranged on the following fuel assemblies, respectively: j01, G01, M02, K02, H02, F02, D02, P04, M04, K04, H04, F04, D04, B04, P06, M06, K06, H06, F06, D06, B06, R07, a07, P08, M08, K08, H08, F08, D08, B08; for lines 09-15, the stationary detectors are arranged on a fuel assembly symmetrical to the above described fuel assembly with respect to the horizontal central axis on which the stationary detectors are arranged.
In particular, the stationary detector may be used to measure axial and radial power distribution in a nuclear reactor core. The stationary detector may also be used to measure burnup of the fuel assembly. The nuclear reactor core including the 177 cartridge-loaded fuel assembly of stationary detectors also includes a control rod set.
The method for arranging the fixed detectors of the nuclear reactor core for loading 177-box fuel assemblies can be used for arranging the fixed detectors in an online reactor core monitoring system, ensures the calculation accuracy of the online three-dimensional reactor core monitoring system, reduces the number of the detectors, and improves the economical efficiency of the online reactor core monitoring system.
The application can be widely applied to the nuclear reactor core loaded with 177-box fuel assemblies. When the three-dimensional core on-line monitoring system of the nuclear reactor adopts the fixed detector to measure, the nuclear reactor core comprising the 177-box fuel assembly of the fixed detector obtained by using the in-reactor fixed detector arrangement scheme comprehensively considers the operation speed of the three-dimensional power on-line monitoring system of the nuclear reactor, the uncertainty caused by the radial arrangement scheme and the economy of the fixed detector arrangement.
The method for arranging the fixed detectors and the obtained nuclear reactor core comprising the fixed detectors do not limit the types of fuel assemblies in the reactor, do not limit the materials of the detectors, do not limit the axial arrangement method of the fixed detectors in the measuring tube of the fuel assemblies, and are suitable for the nuclear reactor core of 177-box fuel assemblies arranged in any 15 rows and 15 columns.
Furthermore, steps g) -i) of the aforementioned stationary detector radial placement method for a nuclear reactor core loaded with 177 cartridge fuel assemblies may be replaced with:
g) Obtaining and recording state parameter values of all fuel assemblies under set conditions through experimental measurement, and respectively recording state parameter values of the fuel assemblies which are provided with the fixed detectors and correspond to each alternative in the fourth series of alternatives;
h) For each of the fourth series of alternatives, obtaining state parameter values of the fuel assemblies not arranged with the stationary detector in MATLAB using two-dimensional interpolation based on the recorded state parameter values of the fuel assemblies arranged with the stationary detector; and
i) And (3) carrying out statistical analysis on the state parameter value of the fuel assembly which is not provided with the fixed detector and is calculated in the step h), and determining an optimal scheme from a fourth series of alternative schemes.
Further, in step g), the status parameters of all fuel assemblies under set conditions are measured by arranging stationary probes on all fuel assemblies.
Further, the statistical analysis in step i) comprises: calculating, for each of the fourth series of alternatives, a sum of squares of deviations of the experimentally measured state parameter values of the fuel assemblies not provided with the stationary detector and the state parameter values of the fuel assemblies not provided with the stationary detector calculated in step h), and determining the scheme with the smallest sum of squares of deviations as the optimal scheme.
Although embodiments of the present application have been shown and described, it will be appreciated by those skilled in the art that changes may be made in these embodiments without departing from the principles and spirit of the application. The scope of applicability of the present application is defined by the appended claims and equivalents thereof.
Claims (5)
1. A method of radially disposing a stationary detector for a nuclear reactor core loaded with 177 cartridge fuel assemblies, the method comprising the steps of:
a) Arranging the fuel assemblies and the control rod sets to form a nuclear reactor core loaded with 177 cartridges of fuel assemblies;
b) Determining the fuel assembly with the control rod group as the fuel assembly without the fixed detector so as to reduce the influence of the insertion of the control rod group and the measurement accuracy of the fixed detector;
c) Determining a stationary detector arrangement in the first row, the last row, the first column and the last column such that there is and only one stationary detector in each adjacent two fuel assemblies and avoiding the stationary detector arrangement in the fuel assemblies in which the control rod sets have been arranged, thereby forming a number of first series alternatives;
d) Arranging stationary detectors interlaced from the second row based on the first series of alternatives, respectively, such that there is and only one stationary detector in each adjacent two fuel assemblies in the row in which the stationary detectors are arranged, thereby forming a number of second series of alternatives;
e) Removing the alternative schemes with the fixed detectors with adjacent surfaces from the second series of alternative schemes to obtain a third series of alternative schemes;
f) On the basis of the third series of alternatives, for the fuel assembly which does not meet the condition of at least two fixed detectors around the fuel assembly, adding the fixed detectors at proper positions or locally adjusting the positions of the fixed detectors, thereby obtaining a fourth series of alternatives;
g) For each alternative in the fourth series of alternatives, actually measuring a state parameter value of the fuel assembly in which the stationary detector is arranged;
h) Fitting the obtained three-dimensional discrete state parameter values by adopting a mathematical calculation method aiming at each alternative scheme in the fourth series of alternative schemes, and interpolating to obtain the state parameter values of all fuel assemblies in the nuclear reactor core;
i) Comparing each of the fourth series of alternatives, and determining an optimal scheme from the fourth series of alternatives by using a statistical tool to compare the maximum value, the minimum value, the arithmetic mean value and the variance of the state parameter values.
2. The method of radial placement of stationary detectors for a nuclear reactor core loaded with 177 cartridge fuel assemblies of claim 1, wherein:
wherein 15 columns of fuel assemblies are represented by A-H, J-N, P, R and 15 rows of fuel assemblies are represented by 01-15, the addition of stationary detectors in step f) includes adding stationary detectors to the fuel assemblies at positions A07, A09, R07, R09.
3. The method of radial placement of stationary detectors for a nuclear reactor core loaded with 177 cartridge fuel assemblies of claim 1, wherein:
in step h), the mathematical calculation method is a thin plate spline interpolation method or a least square method.
4. The method of radial placement of stationary detectors for a nuclear reactor core loaded with 177 cartridge fuel assemblies of claim 1, wherein:
the status parameters include power, burnup, boric acid concentration, or coolant temperature.
5. The method for radial placement of stationary detectors for a nuclear reactor core loaded with 177 cartridge fuel assemblies of any of claims 1-4, wherein:
and further comprises the step of performing experimental verification on the determined optimal scheme after the step i).
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