NUCLEAR TECHNIQUES, Volume. 47, Issue 11, 110602(2024)
Uncertainty and sensibility analysis of reactivity insertion transient accident of a 150 MWt molten salt reactor (SM-MSR)
Figures & Tables(13)
Fig. 2. Schematic diagram of propagation of input uncertainty approach
Fig. 5. Uncertainty propagation results of reactor outlet fuel temperature (Tout)
Fig. 6. Uncertainty analysis bound results for the reactor outlet fuel temperature (Tout)
Fig. 7. Histogram of probability density function distribution for Tout_max
Table 1. Main parameters of the 150 MWt molten salt reactor
View tableView in ArticleTable 1. Main parameters of the 150 MWt molten salt reactor
主要参数Main parameter 设计值Design value 功率Thermal power 150 MWt 燃料盐组成Fuel salt composition LiF-BeF2-ZrF4-UF4-ThF4 堆芯入口/出口燃料盐温度Fuel salt temperature (inlet/outlet) 629 ℃/700 ℃ 堆本体直径×高度Diameter × height of reactor body 3.54 m×3.6 m 燃料盐功率密度Fuel salt power density 66 MW·m-3 设计寿命Lifetime of reactor body 10 a 石墨结构Graphite structure 六棱柱Hexagonal prisms 二回路冷却盐The secondary circuit salt composition LiF-NaF-KF PRACS系统冷却盐PRACS molten salt composition LiF-BeF2-ZrF4-UF4-ThF4 DRACS系统冷却盐DRACS molten salt composition LiF-NaF-KF PRACS系统设计功率Design power of PRACS 2% FP 结构材料Structure material Hastelloy-N
Table 2. Input uncertainty parameters
View tableView in ArticleTable 2. Input uncertainty parameters
序号
No.
参数
Parameters
分布
Distribution
范围
Range
p-1 管内表面换热系数Heat transfer coefficient of tube side h_tube 均匀分布Uniform 75%~125% p-2 管外表面换热系数Heat transfer coefficient of shell side h_shell 均匀分布Uniform 75%~125% p-3 空气侧表面换热系数Heat transfer coefficient of air side h_air 均匀分布Uniform 75%~125% p-4 燃料盐黏度Viscosity of fuel salt ν_fuel 均匀分布Uniform 90%~110% p-5 燃料盐导热系数Heat conductivity of fuel salt k_fuel 均匀分布Uniform 90%~110% p-6 燃料盐热膨胀系数Coefficient of thermal expansion of fuel salt b_fuel 均匀分布Uniform 90%~110% p-7 燃料盐密度Density of fuel salt ρ_fuel 均匀分布Uniform 90%~110% p-8 燃料盐等温膨胀系数Isothermal expansion coefficient of fuel salt e_fuel 均匀分布Uniform 90%~110% p-9 FLiNaK黏度Viscosity of FLiNaK ν_ flinak 均匀分布Uniform 90%~110% p-10 FLiNaK导热系数Heat conductivity of FLiNaK k_ flinak 均匀分布Uniform 90%~110% p-11 FLiNaK热膨胀系数Coefficient of thermal expansion of FLiNaK b_ flinak 均匀分布Uniform 90%~110% p-12 FLiNaK密度Density of FLiNaK ρ_ flinak 均匀分布Uniform 90%~110% p-13 FLiNaK等温膨胀系数Isothermal expansion coefficient of FLiNaK e_ flinak 均匀分布Uniform 90%~110% p-14 石墨导热系数Thermal conductivity of graphite k_g 正态分布Normality 90%~110% p-15 石墨体积热容volumetric heat capacity of graphite cpv_g 正态分布Normality 90%~110% p-16 哈氏合金导热系数Thermal conductivity of Hastelloy-N k_hn 正态分布Normality 90%~110% p-17 哈氏合金体积热容Volumetric heat capacity of Hastelloy-N cpv_hn 正态分布Normality 90%~110% p-18 堆芯功率Reactor power P_reactor 均匀分布Uniform 95%~105% p-19 控制棒落棒时间Control rod dropping time T_drop 均匀分布Uniform 80%~120% p-20 紧急停堆深度Reactor shutdown margin ρ_shutdown 均匀分布Uniform 80%~120% p-21 燃料盐反应性温度系数Fuel salt temperature coefficient of reactivity ρ_f 均匀分布Uniform 80%~120% p-22 石墨反应性温度系数Graphite temperature coefficient of reactivity ρ_g 均匀分布Uniform 80%~120% p-23 堆芯热点因子Core Hot Spot Factor f_hsf 均匀分布Uniform 80%~120% p-24 大气温度Atmospheric temperature T_atmo 均匀分布Uniform 95%~105% p-25 堆芯阻力系数Local resistance coefficient of reactor core f_core 均匀分布Uniform 80%~120% p-26 一回路阻力系数（不包括堆芯）
Local resistance coefficient of primary circuit
f_primary 均匀分布Uniform 80%~120% p-27 PRACS系统阻力系数Local resistance coefficient of PRACS f_PRACS 均匀分布Uniform 80%~120% p-28 二回路阻力系数Local resistance coefficient of 2nd circuit f_second 均匀分布Uniform 80%~120% p-29 DRAC回路阻力系数Local resistance coefficient of DRACS f_DRACS 均匀分布Uniform 80%~120% p-30 空冷塔阻力系数Local resistance coefficient of air cooling tower f_Airtower 均匀分布Uniform 80%~120% p-31 调节棒价值Adjuster rod worth ρ_rod 均匀分布Uniform 80%~120% p-32 提棒速度Withdrawal speed v_speed 均匀分布Uniform 90%~110%
Table 3. Statistical analysis results and percentile valve
View tableView in ArticleTable 3. Statistical analysis results and percentile valve
变量
Variable
平均值
Mean
标准差
Standard deviation
最小值
Minimum
最大值
Maximum
百分位Percentile / % 95 96 97 98 99 值Value / ℃ 721.3 2.3 716.4 727.4 725.4 725.7 725.9 726.1 727.1
Table 4. SRC of the 5 most important parameters to LOFC consequence
View tableView in ArticleTable 4. SRC of the 5 most important parameters to LOFC consequence
序号
No.
参数
Parameters
SRC 1 燃料盐密度
Density of fuel salt
ρ_fuel -0.729 2 堆芯阻力系数
Local resistance coefficient
of reactor core
f_core 0.528 3 堆芯功率Reactor power P_reactor 0.330 4 一回路阻力系数
Local resistance coefficient
of primary circuit
f_primary 0.144 5 停堆深度
Reactor shutdown margin
ρ_shutdown -0.101
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Kai WANG, Chaoqun WANG, Qun YANG, Zhaozhong HE, Naxiu WANG. Uncertainty and sensibility analysis of reactivity insertion transient accident of a 150 MWt molten salt reactor (SM-MSR)[J]. NUCLEAR TECHNIQUES, 2024, 47(11): 110602
Paper Information
Category: NUCLEAR ENERGY SCIENCE AND ENGINEERING
Received: Apr. 19, 2024
Accepted: --
Published Online: Jan. 2, 2025
The Author Email: WANG Naxiu (WANGNaxiu)
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