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Generation of Fourier amplitude spectra and power spectral density functions compatible with orientation-independent design spectra for bidirectional seismic analyses of nuclear facilities 核设施双向地震分析中与定向无关设计谱兼容的傅立叶振幅谱和功率谱密度函数的生成
IF 2.6 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2026-05-01 Epub Date: 2026-01-17 DOI: 10.1016/j.net.2026.104136
Luis A. Montejo
While matching input motions to a design response spectrum (DRS) is standard practice, the US-NRC Standard Review Plan (SRP) 3.7.1 also mandates a minimum power spectral density (PSD) check to prevent power deficiencies that can lead to unconservative in-structure response spectra (ISRS). However, existing methodologies for constructing the required target PSD functions are designed for single-component analysis and do not accommodate the modern orientation-independent spectra (e.g., RotDnn) toward which bidirectional analysis is moving. This article addresses this gap by introducing an iterative algorithm to generate duration-dependent, orientation-independent PSD and Fourier Amplitude Spectra (FAS) functions compatible with any target RotDnn spectrum. The algorithm iteratively adjusts the target FAS of two orthogonal components until their combined RotDnn response spectrum provides a close match to the target DRS, from which a large set of synthetic motions is generated to define the final orientation-independent target spectra. The accuracy and robustness of the proposed methodology is demonstrated by successfully reproducing the FASRotD100 and PSDRotD100 from a benchmark dataset of 50 historical earthquake records, providing an essential tool for reliable seismic assessments consistent with modern hazard definitions.
虽然将输入运动与设计响应谱(DRS)匹配是标准做法,但US-NRC标准评审计划(SRP) 3.7.1还要求进行最小功率谱密度(PSD)检查,以防止可能导致非保守结构内响应谱(ISRS)的功率不足。然而,用于构建所需目标PSD函数的现有方法是为单组分分析设计的,并且不适应双向分析正在发展的现代方向无关光谱(例如RotDnn)。本文通过引入一种迭代算法来生成与任何目标RotDnn谱兼容的与持续时间相关、与方向无关的PSD和傅立叶振幅谱(FAS)函数,从而解决了这一差距。该算法迭代调整两个正交分量的目标FAS,直到它们的联合RotDnn响应谱与目标DRS非常匹配,并由此产生大量的合成运动来定义最终的与方向无关的目标光谱。通过成功地从50个历史地震记录的基准数据集中再现FASRotD100和PSDRotD100,证明了所提出方法的准确性和稳健性,为与现代灾害定义一致的可靠地震评估提供了重要工具。
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引用次数: 0
A multi-node-upset-resilient 14T SRAM with high read stability for space applications 具有高读取稳定性的多节点抗扰14T SRAM,适用于空间应用
IF 2.6 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2026-05-01 Epub Date: 2025-12-30 DOI: 10.1016/j.net.2025.104111
Sung-Jun Lim , Sung-Hun Jo
This paper proposes a voltage-booster read-decoupled radiation-hardened 14T (BDRH14T) SRAM cell. In harsh environments such as space, radiation can flip the stored data in memory cells, resulting in soft errors, including single-event upset (SEU) and single-event multi-node upset (SEMNU). Moreover, with the continued scaling of CMOS technology, the reduced spacing between transistors lowers the critical charge, increasing the vulnerability of SRAM cells to radiation-induced faults. The proposed BDRH14T cell is designed to recover its original stored data at all sensitive nodes even under a high injected charge of 150 fC. Additionally, it is capable of self-recovery from SEMNU occurring at storage node pairs. In addition to its radiation hardness, the BDRH14T exhibits enhanced read stability and reduced power consumption, achieving high read static noise margin (RSNM) and hold static noise margin (HSNM), along with low hold power (HPWR). All simulations were conducted using a 90 nm CMOS technology, considering variations over a wide range of supply voltages (0.9–1.1 V) and temperatures (−30 °C–120 °C). The superior performance of BDRH14T is attributed to the adoption of a voltage booster, a read-decoupled architecture, and deliberate a trade-off in read and write access times (RAT and WAT).
提出了一种电压升压读解耦抗辐射14T (BDRH14T) SRAM单元。在太空等恶劣环境中,辐射会翻转存储在存储单元中的数据,导致软错误,包括单事件破坏(SEU)和单事件多节点破坏(SEMNU)。此外,随着CMOS技术的不断缩小,晶体管之间的间距降低了临界电荷,增加了SRAM单元对辐射诱发故障的脆弱性。所提出的BDRH14T电池被设计为即使在150 fC的高注入电荷下也能在所有敏感节点恢复其原始存储数据。此外,它还能够从存储节点对上发生的SEMNU中自我恢复。除了具有辐射硬度外,BDRH14T还具有更高的读取稳定性和更低的功耗,实现了高读取静态噪声裕度(RSNM)和保持静态噪声裕度(HSNM)以及低保持功率(HPWR)。所有模拟均采用90nm CMOS技术进行,考虑了电源电压(0.9-1.1 V)和温度(- 30°C - 120°C)范围内的变化。BDRH14T的卓越性能归功于采用了电压增强器、读去耦架构,以及有意在读写访问时间(RAT和WAT)上进行权衡。
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引用次数: 0
Mineralization and radioactive potential of Magal Gebreel rocks, South Eastern Desert, Egypt: Health risk evaluation 埃及东南部沙漠Magal Gebreel岩石的矿化与放射性潜力:健康风险评价
IF 2.6 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2026-05-01 Epub Date: 2026-01-29 DOI: 10.1016/j.net.2026.104165
Gehad M. Saleh , Basma A. El-Badry , Mabrouk Sami , Tamader Alhazani , Omnia T. Amer , Ioan V. Sanislav , El Saeed R. Lasheen
The present research aims to evaluate the radiation dosages in the Magal Gebreel granitic phases, which encompass monzogranites, alkali feldspar granites, and altered granites (widely exposed along the shear zone). The former rocks have an average of 89.28 ± 23.85 Bqkg−1 for 238U, 51.71 ± 9.65 Bqkg−1 for 232Th, and 995.34 ± 160.21 Bqkg−1 for 40K utilizing the NaI (Tl) analyzer. Alkali feldspar granites have an average of 146.32 ± 46.73 Bqkg−1 for 238U, 77.57 ± 11.21 Bqkg−1 for 232Th, and 1120.54 ± 26 Bqkg−1 for 40K. The later (altered granites) have the highest activity concentrations of 232Th (avg. 360.57 ± 58.02 Bqkg−1), 40K (avg. 1197.23 ± 106.53 Bqkg−1), and 238U (avg. 3797.50 ± 725.68 Bqkg−1), as well as their summation (avg. 2201.60 ± 250.62 Bqkg−1). It is obvious that the investigated rocks contain increased activity concentrations and therefore fall above the widely accepted worldwide requirements. The results of microscopic and ESEM analysis revealed large assemblages of significant minerals enclosed in the Magal Gebreel rocks such as precious, base metals, accessories, radioactive-bearing, REE-bearing, and Nb-Ta- bearing minerals. Radium equivalent, dose of human body, absorbed dose rate and annualized dosage, excess life-time cancer, coupled with extra radiological characteristics were inferred for these rocks. Given that the measures of most of these criteria are higher than the international average, it is distinct that the tested rocks (certainly altered granites) have a considerable effect on the natural gamma emission released.
本研究旨在评估Magal Gebreel花岗岩相的辐射剂量,包括二长花岗岩、碱长石花岗岩和蚀变花岗岩(沿剪切带广泛暴露)。利用NaI (Tl)分析仪,前者的平均含量为238U 89.28±23.85 Bqkg−1,232Th 51.71±9.65 Bqkg−1,40K 995.34±160.21 Bqkg−1。碱性长石花岗岩238U、232Th和40K的平均含量分别为146.32±46.73 Bqkg−1、77.57±11.21 Bqkg−1和1120.54±26 Bqkg−1。后者(蚀变花岗岩)的活性浓度最高,分别为232Th(平均值为360.57±58.02 Bqkg−1)、40K(平均值为1197.23±106.53 Bqkg−1)和238U(平均值为3797.50±725.68 Bqkg−1)及其总和(平均值为2201.60±250.62 Bqkg−1)。很明显,所调查的岩石含有增加的活动浓度,因此低于世界上广泛接受的要求。显微和ESEM分析结果显示,在Magal Gebreel岩石中包裹着大量的重要矿物,如贵金属、贱金属、附件、含放射性、含ree和含Nb-Ta矿物。推断了这些岩石的镭当量、人体剂量、吸收剂量率和年化剂量、过量寿命癌以及额外的放射学特征。考虑到大多数这些标准的测量都高于国际平均水平,很明显,被测试的岩石(当然是蚀变花岗岩)对自然释放的伽马辐射有相当大的影响。
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引用次数: 0
Cluster analysis of weekly 210Pb and 40K concentrations and cumulative meteorological effects in urban Spain (2006–2022) 2006-2022年西班牙城市周210Pb和40K浓度及累积气象效应聚类分析
IF 2.6 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2026-05-01 Epub Date: 2026-01-09 DOI: 10.1016/j.net.2026.104128
Susana Petisco-Ferrero , Raquel Idoeta , Ander Nafarrate , Saroa Rozas , Jon Sáenz , Alain Ulazia , Gabriel Ibarra-Berastegui
This study analysed the weekly 210Pb and 40K concentrations from four Spanish laboratories located in urban areas recorded during the period of 2006–2022. The application of cluster analysis allowed the identification of two distinct clusters: one with lower values and the other with higher values. In the second stage, the wind and accumulated precipitation data were analysed for both clusters. The results indicated that accumulated precipitation was the main driving mechanism responsible for the observed weekly concentration patterns. The recorded precipitation in low-concentration clusters, was typically twice that of high-concentration weeks.
本研究分析了2006-2022年期间位于城市地区的四个西班牙实验室记录的每周210Pb和40K浓度。聚类分析的应用允许识别两个不同的集群:一个具有较低的值,另一个具有较高的值。在第二阶段,对两个星团的风和累积降水资料进行分析。结果表明,累积降水是周浓度变化的主要驱动机制。在低浓度集群中记录的降水量通常是高浓度周的两倍。
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引用次数: 0
New method for estimating uranium and plutonium masses using differential die-away signals 用微分渐逝信号估计铀和钚质量的新方法
IF 2.6 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2026-05-01 Epub Date: 2025-12-30 DOI: 10.1016/j.net.2025.104110
Sehwan Seol, Jae Chang Kim, Junehyung Lee Bernaski, Yong Kyun Kim, Ser Gi Hong
This study presents a novel method for estimating the masses of uranium-235 and total plutonium in spent nuclear fuel assemblies using only Differential Die-Away (DDA) analysis results and cooling time without relying on passive or delayed neutron measurements. A database of DDA signals was generated through MCNP6 simulations based on spent nuclear fuel compositions derived from ORIGAMI depletion calculations under a wide range of initial enrichments, burnups, and cooling times. The correlations were developed between DDA results (i.e., die-away time and total neutron counts) and the isotopic masses. For 235U, a linear function of the signal ratio was used with the coefficients depending on cooling time. For Pu, a separate correlation was introduced using the die-away time difference between spent and fresh fuels, which required an estimation of initial enrichment. A Gaussian Process Regression (GPR) model was trained for this purpose, achieving high accuracy. Validation with 50 independent SNFs showed high prediction performance with maximum relative errors of 7.52 % and 2.41 % for 235U and Pu, respectively. This method provides a non-destructive and efficient technique for characterizing spent nuclear fuel assemblies, offering potential applications in nuclear safeguards, spent fuel management, and nuclear material accountancy.
本研究提出了一种新的方法来估计乏核燃料组件中铀-235和总钚的质量,仅使用差分死亡(DDA)分析结果和冷却时间,而不依赖于被动或延迟中子测量。通过MCNP6模拟,在广泛的初始浓缩、燃烧和冷却时间下,基于ORIGAMI耗尽计算得出的乏燃料成分生成了DDA信号数据库。开发了DDA结果(即死亡时间和总中子数)与同位素质量之间的相关性。对于235U,使用信号比的线性函数,其系数取决于冷却时间。对于铀,使用乏燃料和新燃料之间的死亡时间差引入了一个单独的相关性,这需要对初始富集进行估计。为此训练了高斯过程回归(GPR)模型,达到了较高的精度。50个独立snf的验证结果表明,235U和Pu的最大相对误差分别为7.52%和2.41%。该方法为表征乏燃料组件提供了一种非破坏性和高效的技术,在核保障、乏燃料管理和核材料会计方面具有潜在的应用前景。
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引用次数: 0
Development of an automated isotope identification algorithm based on second derivative and Bayesian statistics methods using medium energy resolution scintillation detectors 基于二阶导数和贝叶斯统计方法的中能量闪烁探测器同位素自动识别算法的开发
IF 2.6 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2026-05-01 Epub Date: 2026-01-10 DOI: 10.1016/j.net.2026.104126
Haluk Yücel, Ege Can Karanfil, Bahadır Saygı
Radioisotope identification devices(RID) play a crucial role in detection and identification of illicit trafficking of radioactive/nuclear materials in nuclear security and nuclear safeguards. These devices utilize various algorithms for automated isotope identification(ID) without the need for expert intervention. In this study, an automated algorithm for real-time isotope identification is presented. The algorithm employs a second-derivative-based peak detection and a Bayesian-statistics-peak based ID approach. To demonstrate the suitability of the developed algorithm, it was applied to the gamma-ray spectra acquired with a medium energy -resolution LaBr3(Ce) detector. In addition to point sources 60Co, 109Cd, 22Na, 137Cs, 241Am, 152Eu, and 133Ba, the algorithm was also tested on the more complex gamma-ray spectra obtained from low enriched uranium reference materials 171 (EC-NRM171), and natural uranium and thorium minerals such as BL-2, BL-3, BL-4A, BL-5, RGU and OKA-2. To evaluate the performance of the algorithm, total scoring (ST) is calculated. For identification of 22Na, 60Co, and 137Cs isotopes, the posterior probabilities were estimated to be greater than 99 %. For 133Ba, 152Eu, and 241Am, the isotopes they were also correctly identified with higher posterior probabilities ranged from 92 % to 95 %. The developed algorithm successfully identified the isotopes contained in U-Th ore samples with a 100 % total score. Additionally, the performance evaluation of the results obtained with Certified Reference Uranium Materials also demonstrated 100 % score. For automatic ID, the photopeak-based Bayesian method, combined with the Mariscotti's peak detection method has great potential for real-time ID when implemented in RID devices.
放射性同位素识别装置在核安全和核保障中探测和识别非法贩运放射性/核材料方面发挥着至关重要的作用。这些设备利用各种算法进行自动同位素识别(ID),无需专家干预。在本研究中,提出了一种实时同位素识别的自动算法。该算法采用基于二阶导数的峰值检测和基于贝叶斯统计峰值的ID方法。为了证明所开发算法的适用性,将其应用于中能量分辨率LaBr3(Ce)探测器获得的伽马射线能谱。除了60Co、109Cd、22Na、137Cs、241Am、152Eu和133Ba点源外,该算法还对低浓缩铀参考物质171 (EC-NRM171)和天然铀钍矿物BL-2、BL-3、BL-4A、BL-5、RGU和OKA-2等更为复杂的伽马射线谱进行了测试。为了评估算法的性能,计算总得分(ST)。对于22Na、60Co和137Cs同位素的鉴定,估计后验概率大于99%。对于133Ba, 152Eu和241Am,他们也以较高的后验概率正确识别了同位素,其后验概率在92%到95%之间。该算法成功地鉴定了铀钍矿样品中所含的同位素,总得分为100%。此外,对认证参考铀材料所获得的结果的性能评价也达到了100%。对于自动ID,基于光峰的贝叶斯方法结合Mariscotti的峰值检测方法在RID设备中实现时具有很大的实时ID潜力。
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引用次数: 0
Impact of non-uniform dead layer distribution on efficiency calibration for volumetric sources in HPGe detectors 非均匀死层分布对高能锗探测器体积源效率标定的影响
IF 2.6 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2026-05-01 Epub Date: 2026-01-13 DOI: 10.1016/j.net.2026.104143
Thi Yen Hong Huynh , Huu Ngan Thy Truong , Ngoc Ba Vu
Accurate characterization of the HPGe detector dead layer is crucial for reliable Monte Carlo simulations in gamma-ray spectrometry. This study investigates the impact of source geometry on the determination of the effective dead layer thickness. Experimental measurements and MCNP6 simulations were conducted using a p-type coaxial HPGe detector with three geometries: a cylindrical source (S1), a 3π source (S2), and a Marinelli beaker (S3). Results show that while the physical dead layer distribution is intrinsic to the crystal, the determined effective dead layer parameter is strongly dependent on the irradiation geometry. The on-axis source (S1) indicated a stable frontal dead layer of approximately 0.60 mm. Conversely, volumetric sources (S2 and S3) revealed a thicker lateral dead layer (∼1.10–1.21 mm) with a significant transition zone at low energies due to the geometric weighting of photon interactions. Crucially, the study demonstrates that applying a uniform dead layer thickness derived from point-source calibration (S1) to volumetric geometries (S3) results in a systematic overestimation of efficiency across the energy range. These findings highlight the inadequacy of uniform dead layer models for complex geometries and the necessity of multi-region characterization for high-accuracy environmental monitoring.
高能锗探测器死层的准确表征对于伽马射线能谱法中可靠的蒙特卡罗模拟至关重要。本文研究了源的几何形状对确定有效死层厚度的影响。实验测量和MCNP6模拟使用了p型同轴HPGe探测器,该探测器具有三种几何形状:圆柱形源(S1), 3π源(S2)和Marinelli烧杯(S3)。结果表明,虽然物理死层分布是晶体固有的,但确定的有效死层参数强烈依赖于辐照几何形状。轴上源(S1)显示一个稳定的约0.60 mm的正面死层。相反,体积源(S2和S3)显示出较厚的侧死层(~ 1.10-1.21 mm),由于光子相互作用的几何加权,在低能量下具有显著的过渡区。至关重要的是,该研究表明,将由点源校准(S1)得出的均匀死层厚度应用于体积几何(S3)会导致系统高估整个能量范围内的效率。这些发现突出了均匀死层模型对复杂几何形状的不足之处,以及多区域表征对高精度环境监测的必要性。
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引用次数: 0
Integrated the Rupture Disk Corrosion Test (RDCT) and Finite Element Analysis (FEA) approach for evaluating PWSCC initiation in Alloy 600 under simulated pressurized water reactors conditions 结合破裂盘腐蚀试验(RDCT)和有限元分析(FEA)方法,在模拟压水堆条件下对Alloy 600的PWSCC起始进行了评估
IF 2.6 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2026-05-01 Epub Date: 2026-01-12 DOI: 10.1016/j.net.2026.104138
Siyoung Choi , Sung-Woo Kim , Sangtae Kim , Minsung Hong
In this study, the rupture disk corrosion test (RDCT) was employed to measure the initiation time of primary water stress corrosion cracking (PWSCC) in Alloy 600. The applied stress was controlled by the disk specimen thickness, and the PWSCC initiation times were measured experimentally according to the controlled applied stress. Additionally, an optimized finite element analysis (FEA) model was selected to evaluate the applied stress and calculate the stress distribution on the specimen. A clear correlation was established between the applied stress and the PWSCC initiation time; specifically, the initiation time decreased as the applied stress increased. To improve the accuracy and reliability of PWSCC initiation time measurement by RDCT and the stress calculation by FEA, the experimental apparatus was modified, with the computational models were optimized, respectively. This study demonstrates that the integrated RDCT–FEA approach can effectively predict PWSCC initiation under simulated PWR conditions.
本研究采用破裂盘腐蚀试验(RDCT)测量了600合金初次水应力腐蚀开裂(PWSCC)的起始时间。施加的应力由圆盘试样厚度控制,并根据控制的施加应力测量PWSCC的起始时间。此外,选取优化后的有限元分析模型对外加应力进行评估,并计算试件上的应力分布。外加应力与PWSCC起始时间之间存在明显的相关性;随着外加应力的增加,起始时间逐渐缩短。为了提高RDCT法测量PWSCC起始时间和有限元法计算应力的准确性和可靠性,对实验装置进行了改进,并对计算模型进行了优化。研究表明,RDCT-FEA综合方法可以有效预测模拟压水堆工况下PWSCC的起裂。
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引用次数: 0
Degradation mechanism of oxide film on SIMP steel in LBE at temperatures above 550 °C 550℃以上LBE中SIMP钢氧化膜的降解机理
IF 2.6 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2026-05-01 Epub Date: 2026-01-09 DOI: 10.1016/j.net.2026.104131
Tao Liu , Chongdou Yang , Xiangrong Fan , Di Yun , Wenguan Liu , Miroslav Popovic , Bingyao Zhao , Haiqing Xia , Zhongbo Liu , Jie Qiu
The corrosion behavior of SIMP steel in liquid lead-bismuth eutectic was investigated to elucidate the degradation mechanism of Fe-based protective oxide film in LBE when the temperature exceeds the critical threshold of 550 °C. Results show that a three-layer oxide film structure is formed on the surface of SIMP steel, consisting of an outer oxidation layer of Fe3O4, an inner oxidation layer of Fe-Cr spinel, and an internal oxidation zone. At 550 °C, SIMP steel forms a stable oxide layer and exhibits excellent resistance to LBE corrosion. However, at 600 °C, the increased diffusion coefficients of elements and their higher solubility in LBE accelerate elemental depletion, leading to the dissolution of the outer oxidation layer. The formation of a Cr2O3 band protects the matrix but also impedes elements diffusion from matrix to the oxides, promoting the formation of nanoscale voids and pores in the inner oxidation layer, resulting the failure of oxide film to resist lead-bismuth eutectic corrosion at 600 °C. The failure of the inner oxidation layer further accelerates the corrosion of the matrix.
研究了SIMP钢在铅铋共晶液中的腐蚀行为,阐明了当温度超过临界阈值550℃时,铁基氧化保护膜在LBE中的降解机理。结果表明:SIMP钢表面形成三层氧化膜结构,由外氧化层Fe3O4、内氧化层Fe-Cr尖晶石和内氧化区组成;在550℃时,SIMP钢形成稳定的氧化层,并表现出优异的抗LBE腐蚀性能。然而,在600℃时,元素扩散系数的增加和它们在LBE中的溶解度的提高加速了元素的耗竭,导致外层氧化层的溶解。Cr2O3带的形成保护了基体,但也阻碍了元素从基体向氧化物的扩散,促进了内部氧化层纳米级空洞和孔隙的形成,导致氧化膜在600℃下无法抵抗铅铋共晶腐蚀。内氧化层的破坏进一步加速了基体的腐蚀。
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引用次数: 0
Frequency Reduction and Order Elevation (FROE): A physics-informed deep learning method for ultra-fine group resonance self-shielding in heterogeneous systems 频率降低和阶次提升(FROE):一种基于物理的深度学习方法,用于非均质系统中的超细群谐振自屏蔽
IF 2.6 3区 工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2026-05-01 Epub Date: 2026-01-20 DOI: 10.1016/j.net.2026.104150
Dong Liu , Chao Wu , Qi-Long Chen , Kang-Jun He , Jin-Chao Zhang , Qian Zhang , Kai Wang , Chen Zhao , Yang Liu
Resonance self-shielding calculation in complex heterogeneous geometries is essential for reactor physics and core design. While the ultra-fine group method solves the neutron slowing-down equation with high accuracy, its adoption has been limited by low computational efficiency and geometric constraints. Recent progress in deep learning has demonstrated strong potential in neutron transport calculations, offering new solutions to longstanding challenges in resonance self-shielding. This paper proposes a novel deep learning method termed “Frequency-Reduction and Order-Elevation(FROE)." First, frequency reduction is achieved by defining a composite function as the product of the slowing-down spectrum and the total cross-section. This transformation effectively smooths high-frequency oscillations induced by resonance peaks, facilitating neural network approximation. Second, order elevation involves reformulating the integro-differential slowing-down equation into an exact differential form by converting integral terms into their corresponding antiderivatives, thereby improving computational efficiency. Deep neural networks are then employed to represent the composite function and the antiderivatives. The slowing-down equation is solved by training the networks through an alternating iterative scheme to minimize this loss function. Numerical results for several heterogeneous problems, including cases with multi-nuclide resonance interference, validate the proposed method. Our approach accurately yields continuous slowing-down spectra in both space and energy. This work opens a promising new avenue for tackling the enduring challenge of resonance self-shielding in reactor physics.
复杂非均质几何中的共振自屏蔽计算对于反应堆物理和堆芯设计是必不可少的。超细群法求解中子慢化方程的精度较高,但由于计算效率低和几何约束,限制了其应用。深度学习的最新进展在中子输运计算中显示出强大的潜力,为共振自屏蔽领域长期存在的挑战提供了新的解决方案。本文提出了一种新的深度学习方法,称为“频率降低和阶数提升(FROE)”。首先,通过定义一个复合函数作为减速谱和总横截面的乘积来实现频率降低。这种变换有效地平滑了共振峰引起的高频振荡,便于神经网络逼近。其次,阶提升涉及通过将积分项转换为相应的不定积分项,将积分-微分减速方程重新表述为精确的微分形式,从而提高计算效率。然后利用深度神经网络来表示复合函数和不定积分。通过交替迭代的方法来训练网络以最小化损失函数来求解减速方程。对多核素共振干扰等非均质问题的数值计算结果验证了该方法的有效性。我们的方法精确地在空间和能量上产生连续的减速光谱。这项工作为解决反应堆物理中共振自屏蔽的长期挑战开辟了一条有希望的新途径。
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引用次数: 0
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Nuclear Engineering and Technology
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