NUCLEAR TECHNIQUES, Volume. 45, Issue 11, 110603(2022)
Study on many-objective optimization method for reactor 3D shielding structure based on Genetic Algorithm
Figures & Tables(16)
Fig. 1. Flow chart of the 3D shielding structure optimization design method
Fig. 2. Side view (a) and vertical view (b) of 3D shielding structure of nuclear reactor
Fig. 5. Schematic diagram of association operation under 3D normalised hyperplane
Fig. 6. Trend chart of frontier mean change of Pareto of objective volume (a) and weight (b)
Fig. 7. Trend chart of frontier mean change of Pareto dose rate of objective radiation dose rate of axis upper (a) and axis lower (b)
Fig. 8. Trend chart of frontier mean change of Pareto dose rate of objective radiation dose rate of radial
Fig. 9. Parallel coordinate diagram of the last population schemes under multi-objective optimization (a) and many-objective optimization (b) (color online)
Table 1. Description of the shield number and its location
View tableView in ArticleTable 1. Description of the shield number and its location
屏蔽层序号
Shielding layer serial number
屏蔽层位置
Shielding layer position
屏蔽层序号
Shielding layer serial number
屏蔽层位置
Shielding layer position
U1 轴向上第一层1st of axis upper R1 径向第一层1st of radial U2 轴向上第二层2nd of axis upper R2 径向第二层2nd of radial U3 轴向上第三层3rd of axis upper R3 径向第三层3rd of radial U4 轴向上第四层4th of axis upper R4 径向第四层4th of radial U5 轴向上第五层5th of axis upper R5 径向第五层5th of radial L1 轴向下第一层1st of axis lower R6 径向第六层6th of radial L2 轴向下第二层2nd of axis lower R7 径向第七层7th of radial L3 轴向下第三层3rd of axis lower R8 径向第八层8th of radial L4 轴向下第四层4th of axis upper R9 径向第九层9th of radial L5 轴向下第五层5th of axis lower R10 径向第十层10th of radial
Table 2. MCNP computing resource comparison
View tableView in ArticleTable 2. MCNP computing resource comparison
初始模型
Initial model
多核并行
Multi-core
parallel
重要性减方差
Importance
variance reduction
多群输运
Multi-group
transport
本文模型
Paper model
占用内存Memory occupied / MB 49.3 323.5 49.3 12.4 47.9 运算时间Computing time / s 142 21 197 32 9 剂量率计算误差Dose rate calculation error / % 19.85 19.85 2.62 22.72 2.59
Table 3. Initial shielding design parameters for the nuclear reactor
View tableView in ArticleTable 3. Initial shielding design parameters for the nuclear reactor
屏蔽层号
Shelding layer No.
厚度
Thickness / cm
材料号
Material No.
屏蔽层号
Shelding layer No.
厚度
Thickness / cm
材料号
Material No.
U1 2.5 8 R1 0.5 16 U2 10.75 9 R2 0.5 1 U3 0.75 11 R3 0.25 17 U4 0.25 24 R4 1 1 U5 1.25 10 R5 1 19 L1 2.75 16 R6 0.25 19 L2 0.5 19 R7 0.25 7 L3 0.25 1 R8 0.5 11 L4 0.5 11 R9 3.25 4 L5 0.75 6 R10 0.25 5
Table 4. Optional shielding material library for the optimization processes
View tableView in ArticleTable 4. Optional shielding material library for the optimization processes
序号No. 材料名称Material type 密度Density / g·cm-3 1 石墨Graphite 2.25 2 水Water 1.00 3 铍Beryllium 1.85 4 SS307不锈钢SS307 stainless steel 7.92 5 铝Aluminium 2.70 6 铅Lead 11.35 7 钨Tungsten 19.35 8 钆Gadolinium 7.90 9 聚乙烯Polyethylene 0.93 10 硼聚乙烯Boron polyethylene 1.22 11 铅硼聚乙烯Aluminum-boron polyethylene 3.60 12 硼钢Boron steel 7.70 13 钨硼铝Tungsten-Boron-Aluminum 6.10 14 空气Air 0.001 205 15 碳钢Carbon steel 7.82 16 304不锈钢304 stainless steel 7.92 17 347不锈钢347 stainless steel 7.92 18 镍-铬-铁合金1600 Nickel-chromium-iron alloy 1600 8.43 19 镍-铬-铁合金800 Nickel-chromium-iron alloy 800 8.01 20 混凝土Concrete 2.30 21 重晶石混凝土Barite concrete 3.35 22 有机玻璃Organic glass 2.30 23 无机玻璃Inorganic glass 2.336 24 层布式钢纤维混凝土 Layered steel fiber reinforced concrete 2.278
Table 5. Detailed design parameters and target values for the better scheme
View tableView in ArticleTable 5. Detailed design parameters and target values for the better scheme
屏蔽层号
Shelding layer No.
87号方案
Scheme 87
111号方案
Scheme 111
149号方案
Scheme 149
94号方案
Scheme 94
厚度
Thickness
/ cm
材料号
Material No.
厚度
Thickness / cm
材料号
Material No.
厚度
Thickness / cm
材料号
Material No.
厚度
Thickness / cm
材料号
Material No.
U1 9.5 10 8.25 10 0.75 10 3 6 U2 0.25 1 1.5 1 0.75 1 2.75 10 U3 0.25 23 4.25 5 5 23 5.75 11 U4 0.75 11 1.25 10 4.75 10 5 8 U5 2 3 3 11 8.5 9 0.75 9 L1 1.25 10 1.25 2 1.5 2 0.25 8 L2 1 12 0.25 10 1 10 0.5 1 L3 0.5 1 1 10 0.25 10 0.25 14 L4 0.75 3 0.25 6 1.5 2 4.5 1 L5 1 2 6.75 10 0.75 2 1 2 R1 0.75 10 0.25 10 0.5 12 0.5 11 R2 0.5 3 0.75 15 0.25 3 0.5 9 R3 0.75 10 1.25 9 1.25 2 0.25 3 R4 0.5 1 0.25 10 0.25 9 1.5 2 R5 1 10 0.5 10 0.5 10 0.25 3 R6 0.25 13 0.25 10 0.25 14 0.75 4 R7 0.25 1 0.25 1 0.5 20 0.25 19 R8 1.75 9 0.5 9 0.25 9 0.5 11 R9 0.25 14 0.25 9 0.5 9 0.75 2 R10 1 10 0.25 2 1.75 10 0.25 8 体积Volume / cm3 1.005 6×106 9.890 0×105 1.076 0×106 1.002 6×106 重量Weight / g 1.578 0×106 1.987 8×106 1.665 1×106 3.887 2×106 轴向上方剂量率 Radiation dose rate of axis upper / Sv·h-1 7.638 7×10-14 3.953 9×10-14 3.550 9×10-14 7.346 1×10-14 轴向下方剂量率Radiation dose rate of axis lower / Sv·h-1 6.590 0×10-13 1.427 7×10-13 5.248 6×10-12 6.948 1×10-13 径向侧面剂量率
Radiation dose rate of radial / Sv·h-1
3.061 6×10-13 5.502 1×10-13 4.103 1×10-13 5.704 8×10-13
Table 6. Initial scheme target values and relative optimization ratios for each optimized scheme (%)
View tableView in ArticleTable 6. Initial scheme target values and relative optimization ratios for each optimized scheme (%)
相对优化比例
Relative optimization
ratio
体积
Volume / cm3
重量
Weight / g
轴向上方剂量率
Radiation dose rate
of axis upper / Sv·h-1
轴向下方剂量率
Radiation dose rate
of axis lower / Sv·h-1
径向侧面剂量率
Radiation dose rate
of radial / Sv·h-1
原方案Original scheme 1.151 3×106 6.517 9×106 7.811 4×10-14 9.848 5×10-13 6.667 9×10-13 87方案Scheme 87 12.66 75.79 2.21 33.09 54.08 111方案Scheme 111 14.10 69.50 49.38 85.50 17.48 149方案Scheme 149 6.54 74.45 54.54 94.67 38.47 94方案Scheme 94 12.92 40.36 5.96 29.45 14.44
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Huajian ZHANG, Zhenping CHEN, Chengwei LIU, Chao YANG, Bo TAN, Bin GAN, Fucai CHEN, Tao YU. Study on many-objective optimization method for reactor 3D shielding structure based on Genetic Algorithm[J]. NUCLEAR TECHNIQUES, 2022, 45(11): 110603
Paper Information
Category: Research Articles
Received: Aug. 3, 2022
Accepted: --
Published Online: Nov. 25, 2022
The Author Email: CHEN Zhenping (chzping@usc.edu.cn)
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