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The influence of spatially anisotropic randomness on the solution of one-dimensional stochastic differential and integral equations 空间各向异性随机性对一维随机微分方程和积分方程求解的影响
IF 1.9 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2024-11-20 DOI: 10.1016/j.anucene.2024.111058
M.M.R. Williams
We demonstrate that the concept of a one-dimensional stochastic problem, in which only the statistical properties of the medium in one direction are used, is an unphysical situation. Even though the statistically averaged quantities, such as mean value and covariance, may depend only on one space dimension, the statistical properties of the medium in the other two directions must be included. A simple example, based on a second order differential equation, is used to illustrate the point and is supported by numerical calculations. The relevance of this matter to radiation and neutron transport in spatially stochastic media is made clear.
我们证明了一维随机问题的概念,即只使用介质在一个方向上的统计特性,是不符合实际情况的。尽管统计平均量(如均值和协方差)可能只取决于一个空间维度,但必须包括介质在其他两个方向上的统计特性。我们用一个基于二阶微分方程的简单例子来说明这一点,并辅以数值计算。这个问题与空间随机介质中的辐射和中子输运的相关性是显而易见的。
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引用次数: 0
Active fault tolerant PD control law for PWRs under external disturbance 外部干扰下压水堆的主动容错 PD 控制法
IF 1.9 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2024-11-20 DOI: 10.1016/j.anucene.2024.111056
Boubacar Kirgni Hamza , Wang Junling , Lasseini Gonga Yahaya Abdoul Razak , Moussa Hassane Ayouba
NPP is a complex time varying nonlinear system that have to operate under severe constraints while complying with safe operating conditions in order to ensure the power demand and prevent the plant from contingent network instability. Towards this goal, this paper proposes the design of active fault tolerant proportional and derivative (PD) control law for Pressurized Water Reactors (PWRs) under external disturbance. To achieve this, the reactor core’s nonlinear dynamic is transformed into input/output (I/O) second-order system with respect to the power level. Based on the new model, a control strategy is proposed that aims to detect, identify, estimate and compensate for actuator faults. The stability of the system is proven using Lyapunov stability theory, where a quadruple Linear Matrix Inequalities (LMIs) system is derived to provide gains for both the control law and observer. Numerical simulations are conducted to assess the performance of the newly built control strategy and a comparison has been made. It follows that the designed controller not only effectively manages faults and external disturbances but also demonstrate exceptional performance when compared to the model-free controller (MFC) and the L1 adaptive robust controller (L1 ARC).
核电厂是一个复杂的时变非线性系统,必须在严格的约束条件下运行,同时遵守安全运行条件,以确保电力需求,防止电厂出现突发的电网不稳定情况。为此,本文提出了压水堆(PWR)在外部干扰下的主动容错比例和导数(PD)控制法设计。为此,反应堆堆芯的非线性动态被转换为与功率水平相关的输入/输出(I/O)二阶系统。在新模型的基础上,提出了一种控制策略,旨在检测、识别、估计和补偿执行器故障。利用 Lyapunov 稳定性理论证明了系统的稳定性,并推导出一个四重线性矩阵不等式(LMI)系统,为控制法和观测器提供增益。通过数值模拟评估了新建控制策略的性能,并进行了比较。结果表明,所设计的控制器不仅能有效管理故障和外部干扰,而且与无模型控制器(MFC)和 L1 自适应鲁棒控制器(L1 ARC)相比,表现出卓越的性能。
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引用次数: 0
Conceptual study of subcritical assembly with neutron generator for reactor physics experiments and neutron utilization 带中子发生器的次临界组件概念研究,用于反应堆物理实验和中子利用
IF 1.9 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2024-11-20 DOI: 10.1016/j.anucene.2024.111039
Hiroshi Nakagomi, Kenichi Yoshioka, Tsukasa Sugita, Haruo Miyadera
In Japan, critical assemblies are regulated under the “Act on the Regulation of Nuclear Source Material, Nuclear Fuel Material and Reactions” which provides guidelines for the construction and the operation of nuclear facilities: the core configurations of nuclear experiments are constrained accordingly. In addition, the nuclear facilities are required to comply with strict administrations if the nuclear facilities have more than the certain amount of nuclear fuels. On the other hand, subcritical assemblies are not subjected to the nuclear reactor regulation because the subcritical assemblies are not classified as nuclear reactors. We propose the subcritical assembly with a pulsed accelerator neutron source, which uses nuclear fuels below the regulation amount to ease maintenance and to widen experimental capabilities. Conceptual study of such system was carried out to calculate the deviation between reactivity difference in critical state and that in subcritical state by using the MCNP 6.2 code and the JENDL 4 library. Neutron source multiplication method and pulsed neutron source method were performed. The deviation can be estimated around 10 % by setting detectors in appropriate positions. Additionally, neutron radiography was studied as a simple application. The geometrical shapes of sample rods were seen clearly.
在日本,临界组件受 "核源材料、核燃料材料和反应监管法 "的监管,该法为核设施的建造和运行提供了指导方针:核实验的核心配置受到相应的限制。此外,如果核设施拥有超过一定数量的核燃料,则必须遵守严格的管理规定。另一方面,亚临界组件不受核反应堆管理条例的约束,因为亚临界组件不属于核反应堆。我们建议亚临界组件配备脉冲加速器中子源,使用低于规定数量的核燃料,以方便维护并扩大实验能力。对这种系统进行了概念研究,利用 MCNP 6.2 代码和 JENDL 4 库计算了临界状态和亚临界状态下反应性差异的偏差。采用了中子源倍增法和脉冲中子源法。通过将探测器设置在适当的位置,可以估算出 10 % 左右的偏差。此外,还研究了中子射线照相这一简单应用。样品棒的几何形状清晰可见。
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引用次数: 0
Experimental study on direct contact condensation of steam bubbles with non-condensable gas at high Reynolds numbers 高雷诺数下蒸汽气泡与不凝性气体直接接触冷凝的实验研究
IF 1.9 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2024-11-19 DOI: 10.1016/j.anucene.2024.111004
Taikun Guo , Junying Hong , Rui Han , Ruifeng Tian , Sichao Tan , Jiming Wen
Direct contact condensation of steam bubbles with non-condensable gas is common in nuclear safety equipment. It was insufficient research on the direct contact condensation heat transfer model of steam bubbles with non-condensable gas at high Reynolds numbers (Re > 22000) in previous works. To study the effect of non-condensable gas on heat transfer of steam–air bubbles at high Reynolds numbers, a high-speed camera was used to capture the behavior of bubbles and used image processing and bubble reconstruction to obtain size and dynamic parameters of bubbles. The size and upward motion behavior of bubbles were analyzed. The heat transfer coefficient during the bubbles condensation experiment were calculated and experimental results were compared with correlations proposed by previous works. In order to better explain the heat transfer characteristics and predict the heat transfer coefficient of bubbles at high Reynolds numbers, a modified heat transfer correlation based on the correlation of rigid sphere was proposed which are functions of bubble Reynolds number, liquid Prandtl number, Jacob number, and dimensionless time. This correlation considers the influence of both forced convection around bubbles and variations in steam fractions on bubble condensation. Comparison of experimental data and the corresponding predicted values shows that the deviation between the experimental data and predicted values is within ± 25 % which indicates the modified correlation accurately predicts the experimental data in this paper.
蒸汽气泡与不凝性气体的直接接触冷凝在核安全设备中很常见。之前的研究对高雷诺数(Re > 22000)下蒸汽气泡与不凝性气体直接接触冷凝传热模型的研究不足。为了研究高雷诺数下不凝性气体对蒸汽-空气气泡传热的影响,利用高速摄像机捕捉气泡的行为,并通过图像处理和气泡重构获得气泡的尺寸和动态参数。分析了气泡的大小和上升运动行为。计算了气泡凝结实验过程中的传热系数,并将实验结果与前人提出的相关系数进行了比较。为了更好地解释高雷诺数下气泡的传热特性并预测其传热系数,提出了一种基于刚性球体相关性的修正传热相关性,该相关性是气泡雷诺数、液体普朗特尔数、雅各布数和无量纲时间的函数。该相关性考虑了气泡周围的强制对流和蒸汽分数变化对气泡冷凝的影响。实验数据与相应预测值的比较表明,实验数据与预测值之间的偏差在 ± 25 % 以内,这表明本文中修改后的相关性能够准确预测实验数据。
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引用次数: 0
Multi-Beam Accelerator-Driven-Systems of Part I: Optimization on Thermal-Hydraulic design of target assembly 多束加速器驱动系统的第一部分:靶组件的热液压设计优化
IF 1.9 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2024-11-16 DOI: 10.1016/j.anucene.2024.111052
Xiaobo Li , Xunchao Zhang , Yuanshuai Qin , Yuan He
Integrated target module with a solid beam window, and cooled by reactor primary coolant is a good contender for Accelerator Driven System (ADS) and the cooling of the beam window is a key technique in it. The numerical analysis of two beam profiles (circular/double-circular scan) for the target assembly was performed by computational fluid dynamics (CFD) method, and a combing method was used to optimize the thermal–hydraulic design. The calculation results indicated that a nozzle was required to lower the maximum external surface temperature of the beam window to below 400℃. This can be achieved by reducing the heat deposited densities or increasing the velocity in the main heat deposited zone without enhancing the heat convection at the window surface, this will effectively reduce the temperature, but without increasing the temperature difference in the beam window. The optimization results indicate that the maximum temperature of the beam window is 393.75℃ and 384.94℃ for the circular scan and the double-circular scan, respectively. Additionally, the maximum temperature difference is 23.0℃ and 17.1℃ for the circular scan and the double-circular scan, respectively.
由反应堆一级冷却剂冷却的带有固体光束窗的集成靶组件是加速器驱动系统(ADS)的有力竞争者,而光束窗的冷却是其中的一项关键技术。利用计算流体动力学(CFD)方法对目标组件的两种梁剖面(圆形扫描/双圆形扫描)进行了数值分析,并采用梳理法对热液设计进行了优化。计算结果表明,需要一个喷嘴来降低束窗的最高外表面温度,使其低于 400℃。这可以通过降低主要热沉积区的热沉积密度或提高速度来实现,而不需要加强窗口表面的热对流,这将有效降低温度,但不会增加梁窗口内的温差。优化结果表明,圆扫描和双圆扫描的光束窗口最大温度分别为 393.75℃和 384.94℃。此外,圆扫描和双圆扫描的最大温差分别为 23.0℃和 17.1℃。
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引用次数: 0
Volatile fission products transfer from hot sodium pools 从热钠池转移挥发性裂变产物
IF 1.9 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2024-11-16 DOI: 10.1016/j.anucene.2024.111059
M. Garcia, L.E. Herranz
This study focuses on the release of the most relevant volatile fission products from the hot sodium pools. From an exhaustive review of the open literature, a critical review of a model based on the film theory and its estimates in comparison to data from the NALA experimental program has been conducted. Due to certain assumptions embedded in the approach, the fitting-to-data transport coefficients derived and some inconsistencies found between its formulation and the reported estimates, an alternate approach including other phenomena anticipated in the scenario is here proposed. Based on diffusive and convective mechanisms in the gas phase, the assumption of the analogy between heat and mass transport (HMT) and the ideal-dilute solutions laws to set the fission products concentration at the Na pool interface, a good agreement has been found with experimental data, which mean a substantial enhancement of qualitative and quantitative predictability while maintaining a conservative nature.
本研究的重点是热钠池中最相关的挥发性裂变产物的释放。通过详尽查阅公开文献,对基于薄膜理论的模型及其与 NALA 实验项目数据的估计值进行了严格审查。由于该方法中的某些假设、所得出的与数据相匹配的传输系数以及其表述与所报告的估计值之间的一些不一致之处,我们在此提出了一种替代方法,其中包括方案中预期的其他现象。基于气相中的扩散和对流机制、热量和质量输运(HMT)之间的类比假设以及理想稀释解法来设定 Na 池界面的裂变产物浓度,我们发现该方法与实验数据非常吻合,这意味着在保持保守性的同时,定性和定量预测能力得到了大幅提升。
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引用次数: 0
Study on single-phase flow and irradiation mechanics multi-physics field coupling properties of three-petal fuel rod 三瓣燃料棒的单相流和辐照力学多物理场耦合特性研究
IF 1.9 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2024-11-16 DOI: 10.1016/j.anucene.2024.111057
Shusong Qin , Binxian He , Xiangfei Meng , Jianchuang Sun , Wenchao Zhang , Weihua Cai
As a new type of fuel assembly, the thermo-hydraulic and mechanical properties of petal-shaped fuel rod are directly related to the safe operation of the reactor. In this study, the multi-physics field coupled model for coolant single-phase flow heat transfer, and mechanical properties of three-petal fuel rod is established through ABAQUS-STAR CCM+, realizing real-time data interaction between different computational domains. The results show that the transverse flow of coolant affects the temperature field distribution, and the multi-physics field coupling is closer to the real situation of convective heat transfer of fuel rods. Under the irradiation swelling, the maximum Mises stress moved from the inner concave arc to the outer convex arc, and increased to 433.23 MPa at the burnup of 8.22 % fissions of initial mental atoms (FIMA). In addition, the properties of the fuel rod at different inlet flow velocities are analyzed. When the burnup reaches 3.31 % FIMA at 2.5 m/s inlet flow velocity, it enters the plastic stage earlier. The effect of different coupling modes on displacement deformation is also discussed, which shows that it is feasible to ignore the influence of displacement deformation of the fuel rod on coolant.
作为一种新型燃料组件,花瓣形燃料棒的热工水力和力学性能直接关系到反应堆的安全运行。本研究通过 ABAQUS-STAR CCM+ 建立了三瓣燃料棒冷却剂单相流传热和力学性能的多物理场耦合模型,实现了不同计算域之间的实时数据交互。结果表明,冷却剂横向流动影响温度场分布,多物理场耦合更接近燃料棒对流传热的真实情况。在辐照膨胀作用下,最大米塞斯应力从内凹弧向外凸弧移动,在初始精神原子裂变率(FIMA)为 8.22% 的燃烧度下,最大米塞斯应力增至 433.23 MPa。此外,还分析了不同入口流速下燃料棒的特性。在 2.5 m/s 的入口流速下,当燃烧度达到 3.31 % FIMA 时,燃料棒较早进入塑性阶段。此外,还讨论了不同耦合模式对位移变形的影响,这表明忽略燃料棒位移变形对冷却剂的影响是可行的。
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引用次数: 0
The Transient Multi-Level method for Monte Carlo reactor statics calculations 用于蒙特卡罗反应堆静态计算的瞬态多级法
IF 1.9 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2024-11-16 DOI: 10.1016/j.anucene.2024.111021
Evan S. Gonzalez , Brian C. Kiedrowski , Gregory G. Davidson
The Transient Multi-Level (TML) method is applied to a time-dependent Monte Carlo transport solver to offload some of the computational burden of the expensive Monte Carlo solve to lower-order Coarse Mesh Finite Difference (CMFD) and Exact Point Kinetics Equations (EPKE) solvers via factorization of the neutron flux at the transport and CMFD levels using the Predictor Corrector Quasi-Static Method (PCQM). The Monte Carlo transient is solved by a modified fission source iteration scheme that introduces a single transient source bank. The method is implemented in the production-level Monte Carlo code, Shift, and verified with prescribed reactivity ramps from the two-dimensional version of the C5G7-TD reactor benchmark. The results show that, as compared to other quasi-static methods, the TML reduces the stochastic noise inherent to the transient Monte Carlo solver by factors of 2 to 6 for various norm comparisons of the reactor power amplitude. The TML additionally reduces the number of Monte Carlo evaluations needed to simulate the transient, leading to roughly an order of magnitude improvement in CPU time relative to the standard PCQM for the problems tested.
将瞬态多级(TML)方法应用于随时间变化的蒙特卡洛传输求解器,通过使用预测器校正器准静态方法(PCQM)对传输和蒙特卡洛传输级的中子通量进行因式分解,将昂贵的蒙特卡洛求解的部分计算负担卸载到低阶粗网格有限差分(CMFD)和精确点动力学方程(EPKE)求解器。蒙特卡洛瞬态求解采用修正的裂变源迭代方案,该方案引入了单个瞬态源库。该方法在生产级蒙特卡罗代码 Shift 中实施,并利用 C5G7-TD 反应堆基准二维版本的规定反应性斜坡进行了验证。结果表明,与其他准静态方法相比,对于反应堆功率幅值的各种规范比较,TML 可将瞬态蒙特卡罗求解器固有的随机噪声降低 2 至 6 倍。此外,TML 还减少了模拟瞬态所需的蒙特卡罗评估次数,与标准 PCQM 相比,在测试问题上的 CPU 时间大约提高了一个数量级。
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引用次数: 0
Numerical study on flow field and separation performance of swirl-vane separator under rolling motion conditions 滚动运动条件下漩涡叶片分离器流场和分离性能的数值研究
IF 1.9 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2024-11-16 DOI: 10.1016/j.anucene.2024.111050
Li Liu , Yamin Li , Hanyang Gu
Swirl-vane separator is essential in marine nuclear SG for separating liquid droplets from gas flow. This study conducts 3D numerical simulations to investigate the impact of rolling amplitude (θm) and rolling period (T) on flow field and separation performance under rolling motion, incorporating additional inertia forces through a UDF. Results indicate that non-axisymmetric patterns in vapor velocity and total pressure fields exhibit periodic fluctuations, lagging approximately one-quarter period behind the separator’s movement due to inertia forces. The fluctuation of liquid volume fraction resembles a sinusoidal periodic pattern. Separation efficiency fluctuates in an “M” pattern within 10° < θm < 40° and 4 s < T < 8 s, and in a “W” at θm = 40° and 30°, with T = 2 s. Pressure loss fluctuation follows a “W” pattern. Increasing rolling amplitude and decreasing period intensify liquid film thickness variability near separator walls, reducing separation efficiency, increasing pressure loss.
漩涡叶片分离器是船用核安全气囊中必不可少的分离气流中液滴的装置。本研究进行了三维数值模拟,研究滚动幅度(θm)和滚动周期(T)对滚动运动下流场和分离性能的影响,并通过 UDF 加入了额外的惯性力。结果表明,由于惯性力的作用,蒸汽速度和总压力场的非轴对称模式表现出周期性波动,大约滞后于分离器运动的四分之一周期。液体体积分数的波动类似于正弦周期模式。分离效率在 10° < θm < 40° 和 4 s < T < 8 s 内呈 "M "型波动,在 θm = 40° 和 30° 时呈 "W "型波动,T = 2 s。滚动幅度的增加和周期的减小加剧了分离器壁附近液膜厚度的变化,降低了分离效率,增加了压力损失。
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引用次数: 0
Preliminary development and validation of ACENA code for melting and freezing behavior simulation 初步开发和验证用于熔化和冻结行为模拟的 ACENA 代码
IF 1.9 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2024-11-16 DOI: 10.1016/j.anucene.2024.111049
Yue Lin , Dalin Zhang , Yutong Chen , Xisi Zhang , Jian Deng , Wenxi Tian , Suizheng Qiu , Guanghui Su
Melting and freezing model plays a crucial role in safety analysis for liquid metal fast reactors under core disruptive accidents. It’s necessary to establish suitable models for accurate prediction of molten materials migration after severe accidents happens. In this study, a kind of melting and freezing model is established in ACENA code. And the ACENA code is used to simulate the freezing behavior of melt and calculated results are compared with experimental results to validate the applicability of the model. According to the comparison it is shown that the simulation results by ACENA code agree well with experimental results. Both the changing trend and final value of penetration depth of melt are consistent with realistic conditions. Besides, the effects of heat exchange on penetration depth are also analyzed. This research contributes to the development of safety analysis tools for liquid metal reactors under severe accidents.
熔融和冻结模型在堆芯破坏事故下的液态金属快堆安全分析中起着至关重要的作用。有必要建立合适的模型,以准确预测严重事故发生后熔融材料的迁移。本研究在 ACENA 代码中建立了一种熔融和冻结模型。使用 ACENA 代码模拟熔体的冻结行为,并将计算结果与实验结果进行比较,以验证模型的适用性。比较结果表明,ACENA 代码的模拟结果与实验结果非常吻合。熔体渗透深度的变化趋势和最终值都符合实际情况。此外,还分析了热交换对渗透深度的影响。这项研究有助于开发严重事故下液态金属反应堆的安全分析工具。
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引用次数: 0
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Annals of Nuclear Energy
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