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2025 Vol. 46, No. 4

Special Contribution
Development Progress of CorTAF: A Three-Dimensional Cross-Scale Multi-Physics Coupling Analysis Code for Nuclear Reactor Core
Su Guanghui, Dong Zhengyang, Liu Kai, Wang Mingjun, Tian Wenxi, Qiu Suizheng
2025, 46(4): 1-9. doi: 10.13832/j.jnpe.2025.05.0206
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The reactor core is a critical component of nuclear power systems with a complex geometric structure, and it experiences strong coupling effects between various physical fields. High-precision thermal-hydraulic and multi-physics coupling analysis of the core is essential for ensuring the design and safety analysis of advanced nuclear power systems. The Nuclear Reactor Thermal-Hydraulic Laboratory (NuTHeL) at Xi'an Jiaotong University has built a core-heat-flow-deposition multi-physics coupling analysis model, and has independently developed the CorTAF Three-Dimensional Cross-Scale Multi-Physics Coupling Analysis Code for Nuclear Reactor Core, which allows CFD-based multi-physics calculations and predictions for the entire pressure vessel. Validation and verification work has also been conducted based on international benchmark problems. In recent years, the research team has continually developed and refined the mathematical and physical models of the code. Currently, the CorTAF code supports cross-scale coupling calculations for multiple reactor types (PWR, LFR, SFR), physical fields (Neutronics, Thermal hydraulic, Deposition), and system structures (Core, Lower plenum, Upper plenum). This paper reviews the development process of the CorTAF series codes, presents their main functions and applications in PWR calculation, summarizes the current computational results, and discusses the future direction of the program's development.
Reactor Physics
Study on the Influence of Geometric Characteristic Parameters on the Neutron Behavior in Four Petal-shaped Helical Fuel Rod
Che Xunjian, Du Deping, Wang Jincheng, Li Shilei, Meng Xiangfei, Sun Jianchuang, Cai Weihua
2025, 46(4): 10-17. doi: 10.13832/j.jnpe.2024.070068
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To address the deficiencies in neutronics calculations of the Four Petal-shaped Helical Fuel Rod (FPHF) and further determine the influence of the geometric characteristics of the FPHF on its neutron behavior, this paper uses DAG-OpenMC to construct an accurate neutronics calculation model of the FPHF. The study examines the impact of the FPHF's geometric characteristics on neutron behavior from three aspects: fuel rod diameter, cross-sectional shape, and helix angle. The fuel rod diameters are set to 3.5 mm, 6.3 mm, and 9.5 mm; the ratio of the concave arc to the convex arc ranges from 0.1 to 3.0; and the helix angle ranges from 360° to 1080°. The results show that when the fuel rod diameter increases from 3.5 mm to 9.5 mm, the radial power peak factor of the FPHF increases by 5.15%, and the non-uniformity of the neutron flux distribution rises. When the ratio of the concave arc to the convex arc increases from 0.1 to 3.0, the fission reaction rate Rf decreases by 0.19%, and the effective multiplication factor drops by 441.5 pcm (1pcm=10–5). The influence of the helix angle on the moderation effect of the fuel rod and the radial flux distribution is negligible. Therefore, except for the helix angle of the fuel rod, both the fuel rod diameter and cross-sectional shape studied in this paper have significant effects on the neutronics characteristics of the FPHF.
Development and Application of Integrated Accident Analysis System for PWR Based on Neutronic/Thermal-hydraulics Coupling
Chen Jun, Ma Yunfan, Zhang Guanzhong, Peng Jinghan, Zhu Yuanbing, Li Jinggang, Lu Haoliang, Wang Chao
2025, 46(4): 18-24. doi: 10.13832/j.jnpe.2024.080006
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With the development of the rod control mode of reactor core, the increasing value of control rod makes the margin of traditional accident analysis method of rod ejection decrease. In this paper, a three-dimensional PWR integrated accident analysis system based on neutronic-thermal code is developed. The system couples the reactor core nuclear design code COCO and the sub-channel analysis code LINDEN, developed by China General Nuclear Power Group, and develops accident nuclear transient and thermal transient simulation functions based on an advanced accident analysis method. Through an integrated coupling modeling with the new rod ejection accident analysis method, the system can be used for transient process simulation in rod ejection accidents, Departure from Nucleate Boiling (DNB) consequence assessment with pin-by-pin model, and fuel integrity analysis. By comparing with the traditional rod ejection analysis method in large PWRs, the rod ejection analysis results based on the integrated accident analysis system can release the safety margin, ensure the safety of reactor core and subsequently be used for rod ejection accident analysis of rod control reactor.
Numerical Simulation Study of Ion Concentration on Fuel Cladding Surface Based on CRUD Model
Gao Chang, Chen Xiaoqiang, Pan Dingyi, Liu Baojun, Zeng Qifeng
2025, 46(4): 25-34. doi: 10.13832/j.jnpe.2024.080022
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In a pressurized water reactor (PWR), the Li/K element in the primary loop coolant will be concentrated in the deposits (CRUD) on the surface of the fuel cladding, which will exacerbate the corrosion of zirconium alloy in cladding materials and have impact on the fuel life and safety performance. Therefore, it is necessary and urgent to carry out related research on the phenomenon. Finite volume method, coupled with the relationship between temperature field, pressure field and concentration field, is applied to establish the numerical calculation model of Li/K element in CRUD structure during concentration (CRUD model), which can simulate the concentration of Li/K element under different working conditions according to the design parameters of thermal and hydrochemical conditions of the reactor core. First of all, the accuracy of the CRUD model was verified by comparing with previous calculation results. Then, based on CRUD model, the influence law of core thermal design parameters (coolant temperature, pressure, heat flux, etc.), primary loop coolant water chemical conditions (Li/K concentration), and CRUD morphological parameters (thickness, porosity, etc.) on the distribution of Li/K ion concentration was analyzed, and a regular relationship which can be used to guide the design of reactor core parameter criteria and the design of fuel cladding material selection criteria was obtained.
Uncertainty Analysis Method for Activation Neutron Spectra Based on Random Sampling
Hu Xiao, Huang Yi, Chen Xiaoliang
2025, 46(4): 35-41. doi: 10.13832/j.jnpe.2024.080032
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To improve the accuracy of neutron spectrum measurement via activation method and address the critical issue of uncertainty analysis, this study proposed a random sampling-based uncertainty analysis method integrating experimentally measured activation rates, cross-section covariance, and preset spectra for the SD spectrum unfolding program developed using an iterative method. By developing an iterative method-driven SD spectrum unfolding program, the impacts of activation rates, cross-section covariance, and preset spectra on spectrum unfolding uncertainties were systematically quantified by the system. A multi-factor coupling analysis model was constructed based on the principles of random sampling and validated using neutron spectrum experimental data from the China Experimental Fast Reactor (CEFR). The results demonstrate that: Neutron spectrum uncertainties exhibit non-uniform distribution across the full energy range, with the maximum uncertainty of spectrum unfolding in the thermal region reaching 24%, while uncertainties in the fast region remain below 8%. The preset spectrum dominates the unfolding uncertainties (contributing over 90%), whereas cross-section covariance and activation rates have negligible effects (contributing less than 5%). Compared to traditional methods, the random sampling-based analysis method provides a more comprehensive analysis of uncertainty sources, offering not only a reliable reference for enhancing neutron spectrum measurement accuracy but also serving as an effective tool for evaluating the performance of spectrum unfolding programs.
Study on Diffusion Source Cascade Variance Reduction Method for Monte Carlo Deep-penetration Shielding Calculation
Wang Xueqing, Lyu Huanwen, Yang Hongrun
2025, 46(4): 42-48. doi: 10.13832/j.jnpe.2024.080052
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This paper proposed the diffusion source cascade variance reduction method for Monte Carlo deep-penetration shielding calculation. The core idea of this method is to obtain the global variance-reducing parameter distribution through the cascade of response relations in multi-layer local phase space. The method first calculates the flux response factors related to space and energy between adjacent phase spaces by the dispersion source. Secondly, it cascades outward from the source space to obtain the global estimated flux distribution. Thirdly, it cascades backward from the count space to obtain the importance distribution. Finally it generates the consistent source bias parameters and weight window parameters. This method obtains the variance-reducing parameters through local Monte Carlo pre-calculation, so there is no need for iteration, which can effectively reduce the iteration time cost and improve the calculation efficiency. This method is applied to the single detector problem and the multi-detector problem. The calculated values are in good compliance with the Monte Carlo direct calculation, and the quality factor is improved by about 2~4 orders of magnitude. At the same time, the results are compared with those of the typical variance-reducing methods MAGIC and CADIS. The numerical results show that the overall variance-reducing effect of the diffusion source cascade method is better, and it can meet the requirements of the deep-penetration shielding calculation.
Thermohydraulics
Numerical Study of Convective Heat Transfer Characteristics of Superheated Steam in Rod Bundle Channels at Low Reynolds Numbers
Fang Xinkui, Zeng Wei, Wang Jie, Wu Dan, Lu Tao, Deng Jian, Luo Yan
2025, 46(4): 49-59. doi: 10.13832/j.jnpe.2024.070037
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Due to the lack of reliable empirical correlations and related research results for predicting the flow and heat transfer of superheated steam in rod bundle channels at low Reynolds numbers, numerical simulation method is used to study superheated steam in rod bundle channels at low Reynolds numbers (Rein=1937.90~9471.24). This method is based on the Large Eddy Simulation (LES) turbulence model to investigate the effects of inlet steam velocity, degree of superheat, initial wall temperature, outlet steam pressure, and grid diameter ratio on the convective heat transfer characteristics of superheated steam in rod bundle channels at low Reynolds numbers, and to further modify the current empirical correlations. The numerical simulation results showed that the increase in inlet steam velocity, degree of superheat, initial wall temperature, outlet steam pressure, and grid diameter ratio all increased the convective heat transfer coefficient. As the inlet steam velocity, outlet steam pressure, and grid diameter ratio increased, the Nusselt number increased. As the inlet steam degree of superheat and initial wall temperature increased, the Nusselt number decreased. The error of the modified Dittus-Boelter empirical correlation was within 10%, providing a basis for guiding practical engineering applications and ensuring the safety of pressurized water reactor cores.
Numerical Study on the Influence of Thermal-mechanical Coupling Deformation on the Hydraulic Characteristics of Lead-bismuth Pumps
Cheng Xinsheng, Wang Fujun, Wang Jinwei, Wang Zhen, Zeng Huangpeng
2025, 46(4): 60-67. doi: 10.13832/j.jnpe.2024.070052
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In order to study the influence of thermal-mechanical deformation coupling on the hydraulic characteristics of lead-bismuth eutectic (LBE) pumps, the temperature and flow field distribution characteristics of the LBE pumps in the design state were obtained through numerical simulations. The structural deformation of the LBE pumps considering thermal-mechanical coupling effects was studied, and the changes in key dimensions of the flow passage components were analyzed. The LBE pumps before and after deformation was used as a model for full channel numerical calculations, and the influence of thermal-mechanical coupling deformation on the hydraulic characteristics of the LBE pumps was compared and analyzed. The results indicate that the thermal-mechanical coupling effect induces dimensional expansion in flow passage components such as the impeller and guide vanes of the LBE pump in both radial and axial directions, and the blade angle changes. The thermal-mechanical coupling deformation has a relatively small influence on the hydraulic characteristics of LBE pumps under design conditions. When deviating from the design conditions, the head increases in the impeller area, the energy loss intensifies in the guide vane area, and the flow characteristics are significantly changed, resulting in a significant difference of the hydraulic characteristics compared to the design state.
Research on the Influence of Scaling Ratio on the Integral Hydraulic Characteristics of Reactor
Peng Fan, Lu Donghua, Xie Chong, Wang Chunyu, Gu Hanyang, Hong Rongkun, Su Qianhua
2025, 46(4): 68-75. doi: 10.13832/j.jnpe.2024.070067
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In order to study the influence of scaling ratio on the integral hydraulic characteristics of the reactor, 1∶1, 3∶5, and 1∶5 scaled mock-ups are designed based on geometric similarity and Euler number similarity, and flow distribution test, lower plenum mixing characteristics test and lower plenum flow field tests are conducted on three scaled mock-ups at a velocity of reactor prototype in this paper. The comparative results reveal the flows in 1∶1, 3∶5, and 1∶5 scaled mock-ups have entered self-simulation region and the flow fields are similar to each other. The scaling ratio has little influence on the flow distribution factors, mixing coefficients and flow fields in lower plenum at inlet of reactor core. Specifically, the difference in flow distribution factors between different scaling ratio mock-ups is less than 0.02, and the difference in mixing coefficients is less than 0.1. This study can provide a basis for evaluating the distortion of hydraulic modeling method, as well as a reference for reactor thermal hydraulic design and experimental research.
Numerical Simulation Study of Droplet Impact Process on Free Liquid Surface
Chen Qingshan, Wang Mingjun, Tian Ye, Guo Kailun, Tian Wenxi, Qiu Suizheng, Su Guanghui
2025, 46(4): 76-84. doi: 10.13832/j.jnpe.2024.080001
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Atomization and spraying of pressurizer are crucial for safely operation of nuclear power equipment. Study on the process of spray droplets impacting the free surface of the pressurizer can start from the impact of single droplet on the liquid surface, revealing fundamental patterns and phenomena. This provides a theoretical foundation for study on the continuous impact of droplets on the liquid surface during pressurizer spraying. Numerical simulations and analyses were conducted using Fluent's DPM-to-VOF (DTV) method. The accuracy of the DTV method was validated using the Volume of FluiD (VOF) approach. The study systematically investigated the influence of droplet diameter and initial velocity on the main dimensions of liquid pits and columns. It comprehensively revealed evolution process of liquid surface fluctuation, accurately captured details of liquid film fluctuation. Results indicate that increasing droplet diameter or velocity intensifies surface disturbances, resulting in larger pit sizes, taller columns, and potential occurrences of primary and secondary droplets. In addition, a comprehensive analysis of flow distributions under various conditions revealed significant surface disturbances in regions of high Weber and low Froude numbers. Quantitative analyses of $ H_{\mathrm{K}}/d_0 $, $ L\mathrm{_K}/d_0 $, and $ H\mathrm{_Z}/d_0 $ variations with $ We $ and $ Fr $ provide an improtant theoretical basis for understanding and optimizing pressurizer spraying process.
Feasibility Study on Special-shaped Impedance Void Meter for Measuring Void Fraction in Helical Cruciform Rod Bundle Channel
Liu Hao, Ma Zaiyong, Lian Qiang, Liu Gangyang, Tan Xubin, Zhang Luteng, Zhou Wenxiong, Pan Liangming
2025, 46(4): 85-93. doi: 10.13832/j.jnpe.2024.070059
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Impedance void meter is an important tool for measuring the average void fraction in two-phase flows. However, due to the highly heterogeneous nature of the helical cruciform rod bundle channel, the impedance void meter has uneven electric field distribution, which poses certain challenges to measuring void fraction. This paper verifies the feasibility of using a special-shaped impedance void meter to measure void fraction in a helical cruciform rod bundle channel through simulations and experiments. The results show that at low void fraction, the dimensionless voltage at the receiving electrode increases monotonically with increasing void fraction, indicating that the special-shaped impedance void meter is subject to little influence of helical cruciform structure and can be calibrated at low void fraction. The overall average error of the special-shaped impedance void meter does not exceed 24% according to theoretical model calculations. The magnitude of the helical pitch exerts little influence on the measurement of the void fraction, and the geometry of the electrode within the void meter across various twist angle sections does not alter the monotonic relationship between dimensionless voltage and void fraction. This suggests that utilizing a special-shaped impedance void meter for measuring void fraction is feasible.
Development and Validation of the Sub-channel Code for Helical Cruciform Fuel Assembly of PWR
Zhang Qi, Liu Zhenhai, Li Chenxi, Wang Haoyu, Fu Junsen, Li Junlong, Huang Yongzhong, Xiao Yao, Gu Hanyang
2025, 46(4): 94-101. doi: 10.13832/j.jnpe.2024.080009
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In order to develop the sub-channel code for the helical cruciform fuel (HCF) assembly of PWR, the frictional model and heat transfer model of the HCF assembly is introduced into the COBRA-TF code, the two-way mixing of the first type of rod gap and the one-way mixing of the second type of rod gap is predicted by two groups of momentum equations, the accuracy of new code is validated with the experimental data and numerical simulation results, and the axial distribution of the wall temperature, the mass flux distribution et al. of the HCF assembly are analyzed. According to the study results, the distribution of the thermal-hydraulic parameters of the HCF assembly can be accurately predicted by the new code, and the new code can be used for the calculation and analysis of the large-scale fuel assembly. This study provides a reliable analysis tool for the development and application of the HCF assembly.
Study on Heat Transfer and Interlayer Crust Characteristics of Two-layer Corium Pool Based on Visualization Experiments
Yu Jian, Zhang Yapei, Su Guanghui, Tian Wenxi, Qiu Suizheng
2025, 46(4): 102-108. doi: 10.13832/j.jnpe.2024.080047
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To study the formation characteristics of the interlayer crust between the oxide layer and the metal layer in the two-layer corium pool, and analyze the effect of the interlayer crust on the flow and heat transfer of the corium pool, a two-layer corium pool visualization experimental device was designed and built in this study. 50 mol%NaNO3-50 mol%KNO3 molten salt and high-temperature heat transfer oil were used as simulants of oxide layer and metal layer respectively, and the modified Rayleigh number of corium pool is 109~1012. The study includes six experiments to observe the dynamic formation characteristics of the interlayer crust. The corium pool temperature, sidewall heat flux, crust thickness and heat transfer correlations were obtained, and the impact of the interlayer crust on the heat transfer characteristics in a two-layer corium pool was analyzed. The results indicate that the interlayer crust grows from the side wall and its formation weakens the upward heat transfer in the two-layer corium pool, resulting in the highest temperature in the melt pool below the interlayer crust. This study addresses the challenge of observing the growth process of the interlayer crust in a two-layer corium pool and summarizes the variations in the state of the interlayer crust, providing data support for safety analysis of severe accidents.
Experimental Research on the Flow Characteristics in the Top Cover Plenum and the Upper Plenum of Pressurized Water Reactor
Li Kaidi, Wang Kuo, Wang Long, Xie Chong, Du Bing
2025, 46(4): 109-116. doi: 10.13832/j.jnpe.2024.11.0104
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In order to obtain the flow characteristics in the top cover plenum and the upper plenum of an advanced pressurized water reactor, the flow field distribution characteristics of typical areas in the top cover plenum were studied by the particle image velocimetry (PIV) technique, and transverse hydraulic loads on the control rod guide tube assemblies (CRGT) and the support column assemblies near the outlet of the upper plenum were also measured by self-developed force sensors, under different mainstream flow conditions on a 1∶5 scaled experimental model. The results show that intense whirlpools were found near the central thermal sleeve bell mouth under uniform and non-uniform flow conditions, which may lead to stronger impact and abrasion on central thermal sleeves; loads on CRGTs are generally higher than those on support column assemblies, load directions of measuring points are basically consistent with flow directions of coolant, and the load is negatively correlated with the distance from the measuring point to the outlet of the upper plenum; the flow characteristics of coolant under non-uniform flow condition are basically consistent with those under uniform flow condition, which verifies the conservative safety of the reactor design. Therefore, this study is of great significance for structural mechanics analysis, abrasion mechanism analysis, flow-induced vibration evaluation and falling rod performance analysis.
Nuclear Fuel and Reactor Structural Materials
HCF Three-dimensional Refined Burnup Characteristics Analysis
Duan Qianni, Wang Yang, Li Wei, Wu Junmei
2025, 46(4): 117-124. doi: 10.13832/j.jnpe.2024.070038
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Helical cruciform fuel (HCF) has a complex geometry, which poses a higher challenge to the study of burnup characteristics. The traditional concentric circle burnup region division method could not accurately simulate the different burnup at different positions caused by the complex geometry of HCF in the burnup, and lack corresponding three-dimensional refined numerical analysis method to predict the burnup characteristics. In this paper, a hexahedral burnup region division and Computer-Aided Design (CAD) geometric modeling method are proposed for HCF. By taking the slice, minimum twist unit and single fuel of HCF as the research object, three-dimensional burnup calculation are realized, and variable distribution under different burnups, nuclear density and nuclear reaction rate of typical nuclides 235U, 238U and 239Pu at concave and convex position are obtained. The results show that the fast neutron flux, thermal neutron flux and power density distribution of radial circumferential HCF show great non-uniformity. The circumferential non-uniformity increases with the depletion of fuel, the burnup in the convex position is 15.92 MW·d/kg deeper than that in the concave. The influence of axial twist on the physical variables of the convex position of fuel is greater than that of the concave position. Three-dimensional refined analysis of burnup characteristics provides a basis for high-fidelity coupling calculation of neutronic physics, thermal-hydraulics and mechanics of HCF.
Experimental Study on Fretting Wear Behavior of Nuclear TP316H Steel in Liquid Lead-Bismuth at Different Temperatures
Wang Yao, Cai Zhenbing, Ning Chuangming, Gao Xiong, Ren Quanyao
2025, 46(4): 125-136. doi: 10.13832/j.jnpe.2024.070046
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In view of the influence of temperature on the fretting wear performance of nuclear TP316H steel in liquid Lead-Bismuth eutectic alloy(LBE), the fretting wear behavior of TP316H steel at different temperatures was studied by using an independent high temperature liquid LBE fretting wear test device. The influence of different temperature on fretting wear performance was studied, and the evolution rule of fretting wear under different cycles was analyzed. The results show that at 200℃ and 300℃, fretting wear behavior regime of TP316H steel is mixed fretting regime, and at 400℃, fretting wear behavior regime is total sliding regime. The increase of temperature will accelerate the softening of the material surface and wear debris, and at the same time aggravate the oxidation wear, resulting in the rapid formation of the third body layer and reduce the wear rate. However, high temperature is more likely to cause dissolution corrosion of Ni element. By studying the wear evolution rule at 400℃, it is found that the wear mechanism at the initial fretting stage is characterized by peeling wear and adhesive wear. The intermediate stage is characterized by oxidation wear and fatigue wear. In the later stage, it turns to oxidation wear, abrasive wear, and a small amount of adhesive wear.
Experimental Evaluation on Aluminum Pitting Corrosion Rate at Pool Bottom of the 49-2 Swiming Pool Reactor
Zheng Jiacheng, Ma Ruoqun, Chen Xiaoliang, Zhang Fei, Cai Guangbo, Yang Xiao, Ma Xueyi, Xiao Diaobing
2025, 46(4): 137-143. doi: 10.13832/j.jnpe.2024.070056
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The pool bottom and wall of the 49-2 swimming pool reactor are made of pure aluminum. In order to grasp the actual state and changes of the defects at the pool bottom and ensure the safe and stable operation of the reactor, based on the information of the pool bottom, the medium in the pool, the material of the pool wall, etc., the pitting corrosion environment of the point defects at the pool bottom was simulated, and the experimental research on the measurement of aluminum corrosion rate at the pool bottom under extreme working conditions was carried out. The maximum corrosion rate of the aluminum at the point defects is 0.0326 mm/a, which provides technical data for the integrity assessment of the bottom of the reactor.
Numerical Study on Oxidation and Dissolution/Precipitation Performances of the ADS Cladding
Li Xiaobo, He Yuan, Niu Fenglei
2025, 46(4): 144-151. doi: 10.13832/j.jnpe.2024.080054
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To investigate the growth characteristics of the oxide scale in the fuel cladding of the lead-bismuth eutectic cooled Accelerator-driven Subcritical System (ADS), and to analyze the heat transfer in the fuel cladding with an oxide scale, the paper proposes a growth and dissolution/deposition model for ADS cladding oxide scale and couple it with the computational fluid dynamics (CFD) method, so as to investigate and realize the simulation of cladding oxide scale growth and fuel rod temperature in the presence of dissolution/deposition. The results of study on fuel rod heat transfer and cladding surface oxidation and dissolution/precipitation of our independently designed multi-beam ADS demonstrate that: the experimental data show a high level of agreement at elevated oxygen concentrations; the maximum oxide scale thickness and dissolution thickness are observed in the high-temperature region of the active zone within the core, while the maximum deposition thickness is in its inlet; the oxide scale reached a thickness of approximately 65 μm after 10000 h, with a maximum increase in temperature difference between the cladding inner and outer surface of 12.20 K. Therefore, ADS fuel cladding surface oxide scale growth model and its numerical calculation method, as proposed in this study, are capable of calculating the fuel rod temperatures for the fuel cladding with oxide scale in the flow liquid lead-bismuth eutectic environment.
Study on Oxidation Corrosion of Nuclear Graphite by Water Vapor
Shen Teng, Wang Chengyu, Guo Shaoqiang, He Kai
2025, 46(4): 152-158. doi: 10.13832/j.jnpe.2024.090008
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In order to study the oxidation reaction properties of nuclear graphite by water vapor and establish the graphite-water vapor corrosion reaction model based on classical Langmuir-Hinshelwood (L-H) model, we conducted the experiments on the oxidation corrosion of graphite by water vapor based on gas concentration method. The experiment results demonstrated that CO2 was generated at the temperature higher than 950℃ or 1000℃ in the experimental condition of the helium and water vapor mixed gas flow rate of 10 L/min and the water vapo concentration of 3% to 10%, and the mixture added with 1% H2 has no obviously influence on reaction rate, which had obviously difference with classical L-H model. As a result, new reaction model was established based on the experiment results, which added the oxidation reaction of graphite by water vapor generating CO2 and H2 and removed the H2 partial pressure term in L-H model. The experiment data was used to build a new model and verify the model respectively. The study results demonstrated that the new model was suitable for the simulation of oxidation of graphite by water vapor at a relative high water vapor concentration, which could relatively accurately analyze and calculate the corrosion rate and gas generating rate.
Structure and Mechanics
Discussion on Seismic Classification of Nuclear Power Plant Equipment and Research on its Corresponding Required Seismic Response Spectrum
Fang Qingxian, Lu Yan, Zhang Qi, Liu Qingyang, Hou Chunlin, Dai Zhijun
2025, 46(4): 159-167. doi: 10.13832/j.jnpe.2024.080051
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At present, there are two seismic categories for nuclear power plant equipment, the first (high) is called seismic category I, and the second is called non-seismic category I. The seismic design and seismic test of seismic category I are quite mature, and there are relevant national standards, while there are no relevant standards to follow for non-seismic category I equipment. In order to put forward more reasonable seismic requirements for some non-seismic category I but functionally important equipment that does not require safety shutdown earthquake resistance, this study proposes to classify the non-seismic category I equipment into the conventional important seismic category and the conventional general seismic category. In this study, the corresponding peak ground horizontal acceleration and required ground horizontal response spectra are given according to the national standard spectrum for the conventional important seismic category and the conventional general seismic category. The earthquake fortification for conventional important seismic category is increased from 50-year exceedance probability of 10% to 2%. The results show that the seismic fortifications standards for conventional important seismic category are to be in line with the international advanced standards and meet the new requirements of the National Nuclear Safety Administration for the emergency center of nuclear power plants after the Fukushima accident and the national standard GB 50260-2013. Therefore, the seismic categories suggested in this study are applicable to the seismic design of nuclear power plants in China.
Study on the Sealing Performance Analysis and Design Method of Graphite Gasket
Jiang Lu, Fu Xiaolong, Pu Zhuo, Tian Jun
2025, 46(4): 168-174. doi: 10.13832/j.jnpe.2024.090004
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In order to systematically study the sealing performance analysis and design method of graphite gasket, test, theoretical calculation and numerical simulation are carried out in this paper simultaneously. The graphite gasket mechanical deformation analysis model and three-dimensional bolt-flange-gasket sealing analysis model are established. Characteristic of compression-resilience curve of gasket, coordinated deformation mechanism of bolt-flange-gasket, contact stress variation law under typical working conditions are studied. The study results show that, the compression-resilience process of gasket represents nonlinear deformation which can be divided into four typical deformation stages. Numerical simulation result of compression-resilience fits well with test result curve which verifies the correctness and effectiveness of the numerical analysis method. The sealing analysis result of bolt-flange-gasket shows that, the gasket stress and sealing pressure under preloading and working condition all meet the design requirements. In transient condition, the increased axial load caused by medium pressure and temperature gradient is mainly supported by the outer metal ring, and sufficient radial size of the outer metal ring is critical to ensure the sealing stability of the graphite ring.
Study on Seismic Qualification Test Input for Nuclear Safety Class Valves based on Dynamic Response Characteristics of Pipes
Wang Mingyu, Cao Hui, Liu Xuelin
2025, 46(4): 175-180. doi: 10.13832/j.jnpe.2024.070051
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Since nuclear safety class valves may be located in different buildings and floors, the seismic qualification input needs to envelope all possible situations. China’s domestic nuclear power regulations provide the suggested relationship between frequency and acceleration for seismic input, but they do not specify how this was formulated or guide users on how to adapt it. This paper addresses this issue. Through the analysis of the seismic response characteristics of typical pipes, this paper summarizes the amplification characteristics of pipe systems to earthquakes and then provides a theoretical method for determining seismic input. It also offers guiding acceleration and frequency requirements for Generation 3 nuclear power plants. In terms of artificial simulation time history multi-frequency wave method and sinusoidal wave method in the valve seismic qualification commonly used in Generation 3 nuclear power plants, the theoretical method proposed in this paper can explain the differences between engineering practice and domestic regulations, and provide suggestions for problems encountered in qualification tests for adaptation.
Fragility Analysis of Prestressed Containment under Thermal-Compressive Coupling Condition
Yang Qingyu, Ma Yan, Yan Jiachuan, Gao Ge, Liu Mengsha
2025, 46(4): 181-191. doi: 10.13832/j.jnpe.2024.070048
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In this paper, a prestressed containment structure is modeled, the finite element analysis software ABAQUS is used to simulate the thermal-compressive coupling test, and random samples of the containment obtained by using the Latin hypercube sampling method are calculated to obtain 2 containment susceptibility curves for analyzing the susceptibility corresponding to the overall functional failure and structural failure of the containment. The calculation results show that the lower and upper limits of the inner pressure bearing capacity of the containment are 0.9666 MPa and 1.0352 MPa, respectively. Under the steel lining functional failure criterion, the elastic modulus of HRB400 reinforcement has the greatest influence on the inner pressure bearing capacity of the containment; the maximum tensile strain of the steel lining is concentrated near the equipment gate opening. Under the structural failure criterion of prestressed tendons, the elastic modulus of HRB500 steel bars has the greatest influence on the internal pressure bearing capacity of the containment; the distribution of the maximum tensile strain of prestressed tendons has no obvious pattern.
Safety and Control
Real-time Prediction of Dynamic Trend for Main Coolant Pump in Nuclear Power Plants
Zhang Xiuchun, Xia Hong, Liu Yongkang, Zhu Shaomin, Jia Zhujun, Jiang Yingying, Liu Jie
2025, 46(4): 192-198. doi: 10.13832/j.jnpe.2024.080017
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Accurate prediction is fundamental to the condition monitoring and operational maintenance of nuclear power plants (NPPs). To improve the dynamic trend prediction of systems and components, this paper proposes a time series prediction method based on signal decomposition strategy. Firstly, the original time series signal is decomposed into two subsequences containing high-frequency noise and low-frequency trend respectively, utilizing variational mode decomposition (VMD). Then, the gated recurrent unit optimized by the Bayesian optimization algorithm (BOA-GRU) and autoregressive integrated moving average (ARIMA) are employed to forecast these high-frequency and low-frequency subsequences separately. Finally, the predicted values of both subsequences are recombined to derive the forecast of the original signal. The proposed hybrid model is applied to perform single-step and multi-step predictions on the time series signals from the reactor coolant pump of a specific NPP, and the prediction accuracy is evaluated using metrics such as root mean square error (RMSE), mean absolute percentage error (MAPE), and mean absolute error (MAE). The results demonstrate that the proposed hybrid model can accurately predict and track the operational status of main coolant pump, and comparisons with baseline models highlight the advantages of the proposed hybrid model in complex signal prediction.
Research on Optimization of Aerosol Collection Technology in Laser Cutting Based on Numerical Simulation
Zhang Yongling, Xue Yun, Zhang Hangzhou, Wu Xiaojiang, Hu Dongmei, Zhang Chengtian, Chen Xisan, Zhou Yanmin
2025, 46(4): 199-204. doi: 10.13832/j.jnpe.2024.080018
Abstract(12) HTML (12)
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In the decommissioning of nuclear facilities, the cutting and dismantling of nuclear-related equipment are indispensable key processes. However, the radioactive aerosols generated during laser cutting pose a risk of environmental contamination. This study is based on the computational fluid dynamics (CFD) method and utilizes the discrete phase model (DPM) to conduct a simulation of the flow behavior of aerosols produced during laser cutting operations. The study aims to investigate the impacts of two factors—namely, the angle of the air collection hood and the air extraction flow rate under local ventilation conditions—on aerosol collection efficiency, and to provide theoretical guidance for the effective suppression of aerosols in actual laser cutting scenarios. The results indicate that reducing the angle of the air collection hood can more efficiently capture aerosols generated by laser cutting, while increasing the suction flow rate can significantly enhance collection efficiency. Therefore, in practical operations, it is recommended to adopt configurations with a higher air volume and a smaller air collection hood angle.
Study on the Influencing Factors of Gross α and Gross β Radioactivity in Aerosols Measured by Ashing Method
Wu Yao, Dong Chuanjiang, Pu Xianen, Shen Ting, Huang Cong, Tang Mengqi, Wang Yajie, Zhang Yi
2025, 46(4): 205-211. doi: 10.13832/j.jnpe.2024.080046
Abstract(19) HTML (12)
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To increase the reproducibility and comparability of the gross α and gross β radioactivity measurements in environmental aerosols, this paper conducted a study on the influencing factors based on ashing method. The influence of factors such as sample equilibrium time, ashing temperature, ashing time, and sample mass on the experimental results was obtained through experimental measurements, and the detection limit, precision, and accuracy of the measurement method were verified. The results indicate that the sample placement time directly affects the measurement results of the gross α and gross β radioactivity in aerosols. With the extension of placement time, the gross α and gross β counting rate rapidly decrease in the first 3 days, and remain basically constant after 120 hours and 100 hours, respectively. The ashing temperature should not exceed 400℃. For the gross α and gross β in aerosol samples with a volume of 10000 m3, the detection lower limit of this method was 1.6 μBq/m3 for gross α radioactivity and 0.7 μBq/m3gross β radioactivity. The maximum precision values of the measurement methods for the gross α and gross β in aerosols are 16.7% and 11.4%, respectively, with spiked recovery rates greater than 89.0%. The results show that the ashing method can be used to measure the gross α and gross β radioactivity concentrations in environmental aerosols.
Diagnosis Method for Pressurized Water Reactor LOCA Accidents Based on CART-LSTM Algorithm
Sun Zhejun, Wang Yulong, Wei Xinyu, Sun Peiwei
2025, 46(4): 212-217. doi: 10.13832/j.jnpe.2024.080053
Abstract(15) HTML (6)
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Loss of Coolant Accident (LOCA) is a typical accident in pressurized water reactors, which may induce core melting. Therefore, timely diagnosis of LOCA is very important. Long Short-Term Memory (LSTM) neural network is an improved Recurrent Neural Network (RNN) that can better capture long-term dependencies in temporal data and is widely used in fault diagnosis related to temporal data. Classification and Regression Tree (CART) is a commonly used classification method, which has the characteristics of fast classification speed, high accuracy, and strong readability. Therefore, a pressurized water reactor LOCA diagnosis method based on CART-LSTM is proposed. The paper trains and optimizes the diagnostic model using the LOCA dataset, and then uses the trained model for LOCA diagnosis, thereby achieving early and rapid diagnosis of LOCA accidents. The results indicate that the diagnosis method based on CART-LSTM can accurately determine the position and specific size of LOCA accidents.
Research and Application of Minimum Critical Accident Alarm System Layout Method
Hu Xiaoli, Zhang Yicheng, Liu Guoming, Li Yunlong, Shao Zeng
2025, 46(4): 218-224. doi: 10.13832/j.jnpe.2024.090015
Abstract(14) HTML (7)
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To meet the requirements of the national standard and the design requirement of the critical accident alarm system (CAAS) in reprocessing plants, a CAAS design method is proposed to deal with complex structure and strong background dose in reprocessing plant buildings with many equipment. The design method is consist of the analysis of the envelope minimum criticality accident source term of reduced model, and the confirmation of uncertainty of the calculation method, which are both based on the characteristics of equipment geometry, type and concentration of solution contained. In addition, forward weighted consistent adjoint driven importance sampling (FW-CADIS) method is used to accelerate the convergence speed. This design method is applied to the CAAS design of reprocessing plants, and the result shows that the CAAS location and alarm threshold of the target building meet the requirement of national standard. Compared with the calculation results of commercial Monte Carlo code, the results are similar and the efficiency is higher, so the feasibility, correctness and efficiency of this method are proved. Therefore, the method in this paper can be applied in the CAAS design of reprocessing plants, and has good accuracy and speed.
Operation and Maintenance
Structure Design and Safety Analysis on Tube Sheet Plug of Steam Generator in Nuclear Power Plant
Zhao Libin, Wang Dejun, Sheng Zhaoyang, Hu Anzhong, Ji Longhua
2025, 46(4): 225-230. doi: 10.13832/j.jnpe.2024.090009
Abstract(22) HTML (5)
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A drilling hole on the tube sheet of steam generator (SG) was missed in the manufacturing process, and it was found that one U-shaped tube failed to pass through when most of the U-shaped tubes were expanded after welding or positioning. After research, the equipment manufacturer implemented the scheme of plugging the processed tube hole at the symmetrical position of the missed tube hole. This scheme needs to plug the primary side and the secondary side of the SG tube sheet respectively. Equipment manufacturers adopted the primary side and secondary side respectively plugging scheme. In view of this nonconformity, this paper mainly discusses and analyzes the secondary side plug design, structural strength, flow-induced vibration, weld quality and other aspects from the perspective of nuclear safety review. At the same time, in order to ensure the safety, the failure analysis of the primary side plug, the safety design of the secondary side plug structure and the demonstration of the in-service inspection scheme of the weld quality are also analyzed. The analysis results show that the current tube plugging scheme is reasonable and feasible, but the follow-up inspection in service should be strengthened to ensure the reliability of tube sheet plugging and ensure the safe and stable operation of SG.
Differences and Cause Analysis of Pressurizer Pressure Control Response
Song Fei, Liu Shuangjin, Yang Zongwei, Qiu Shaoshuai, Liu Peng
2025, 46(4): 231-236. doi: 10.13832/j.jnpe.2024.090016
Abstract(22) HTML (14)
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The early commercial nuclear power plants in China requires digital transformation. Against the differences of pressurizer pressure control response under accident condition before and after the digital transformation of Daya Bay Nuclear Power Plant, by comparative analysis of pressurizer pressure control response curve and Proportion-Integral-Derivative (PID) controller algorithm in several nuclear power plants with different Digital Instrumentation and Control System (DCS) platforms, this paper finds out the cause of control discrepancy and proposes a scheme to increase the PID regulation range and add switch logic between open and closed loops, which combines the advantages of incremental and positional PID controllers in the control system. The pressurizer pressure control performance is improved, and it has been verified in reactor trip test of a nuclear power plant.The optimization method of the pressurizer pressure controller proposed in this paper has good reference value and significance for the subsequent digital transformation of nuclear power plants.
Artificial Intelligence Technology and Application in Reactor Engineering
Prediction Technology for Transient Operations of Small Modular PWR Based on SEQ2SEQ and ARIMA Hybrid Prediction Model
Cheng Yiheng, Li Tong, Tan Sichao, Wang Bo, Tian Ruifeng, He Zhengxi, Shen Jihong
2025, 46(4): 237-244. doi: 10.13832/j.jnpe.2024.070066
Abstract(14) HTML (6)
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To ensure the safe and reliable operation of reactors under ocean conditions, the long-term prediction accuracy of thermal operation parameters under ocean conditions is improved. Based on the thermal operation data of the one-dimensional simulation model of a small modular PWR IP200 under ocean conditions, this study proposes a prediction model combining sequence to sequence (SEQ2SEQ) and autoregressive integrated moving average (ARIMA). First, ARIMA is used to extract the features of the data, and then SEQ2SEQ is used to predict the oscillation value. When the reactor is operating under ocean conditions, it is easy to cause the sloshing of the liquid level inside the system, which in turn causes oscillation in other operating parameters. The prediction results of three thermal operation parameters with different oscillation characteristics, namely, pressurizer pressure, coolant flow, and steam generator steam outlet flow, show that the prediction accuracy is improved by about one order of magnitude, compared with that of using ARIMA model, SEQ2SEQ model and traditional Long Short-Term Memory (LSTM) model alone. The prediction model combining ARIMA and SEQ2SEQ proposed in this study has features of fast calculation speed and high prediction accuracy, which provides an effective method for the prediction of potential failures of small modular PWR under ocean condition.
Research on Prediction Method of In-core Capacity Factor Based on Graph Convolutional Network
Chen Jing, Qiu Xinghua, Jiang Hao, Lin Weiqing, Chen Yan, Xu Yong
2025, 46(4): 245-252. doi: 10.13832/j.jnpe.2024.070063
Abstract:
The distribution of capacity factor of core directly affects the safe operation of the reactor. In order to achieve accurate prediction of capacity factor distribution, the spatial relationship of the distribution of each sensitive segments in the power range detector and the derivation process of the capacity factor physical model are fully considered in the paper, which proposes a graph data structure by the research on the neutron transport matrix, which is suitable for capacity factor distribution prediction, and uses the graph convolutional network (GCN) to predict the capacity factor. Based on the historical data of a second-generation pressurized water reactor unit, analysis of examples is conducted and the result shows that the spatial characteristics of signal of the power range detector can be integrated effectively by the proposed graph data structure. Combining the GCN model to predict two different situations of stable and large fluctuations in the capacity factor, the result show that two different situations of capacity factor can be predicted accurately by GCN model, which solves the problem of unsatisfactory prediction results of traditional time series prediction models in situations under large fluctuations. Therefore, the method proposed in this paper is suitable for prediction of in-core capacity factor, which has a high reference value for improving the safety and reliability of nuclear reactor operation.
Research of BPNN Application in Liquid Level Control of Nuclear Power Plant Steam Generator
Yang Bonan, Lu Pan, Xie Chenglong
2025, 46(4): 253-258. doi: 10.13832/j.jnpe.2024.080033
Abstract(14) HTML (8)
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The performance of steam generator (SG) water level control is a critical factor in ensuring the safe, efficient, and stable operation of nuclear power plants. Based on the basic structure of a Backpropagation Neural Network (BPNN) Proportional-Integral-Derivative (PID) controller and incorporating the physical characteristics of the SG, a dedicated BPNN PID controller suitable for SG water level control processes was developed. This PID controller features self-matching, self-adaptive, and self-tuning capabilities, enabling it to automatically calculate appropriate PID parameters in real time based on changes in the operating conditions of the controlled object during nuclear power plant operations. This ensures consistently excellent control performance of the controller. The BPNN PID controller model was subject to full-scope simulator tests for nuclear power plants. While maintaining control performance comparable to the original controller under full-power operation conditions of nuclear power plants, it demonstrated significantly improved control performance under low-power operation conditions.
Automatic Layout and Optimization Method of Nuclear Power Plant
Zhou Xiuan, Cheng Jie, Jia Xiaopan, Su Jincheng, Wu Di, Wang Jianjun, Xue Jing
2025, 46(4): 259-265. doi: 10.13832/j.jnpe.2024.080034
Abstract(25) HTML (9)
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With the rapid development of computer technology, the intelligent layout design of nuclear power engineering has become a trend, and the intelligent layout of nuclear power plant is also an important part. In this paper, a multi-space model of equipment room was established to describe the equipment space requirements as the basic operation unit, and an equipment room sequencing and positioning method was established based on the cavitation algorithm and attractor method for equipment room layout. And the space occupation of the passage was considered to adjust the equipment room to realize the automatic layout design method of nuclear power plant. Then, a hybrid genetic algorithm was combined to form the automatic layout optimization method for nuclear power plant. Finally, this paper takes some equipment of nuclear power plant as the research object, takes plant layout parameters as the optimization variables, and takes the floor area of plant layout scheme as the optimization objective. The optimal layout scheme obtained by optimized search covers an area of 1160.44 m2, and the effective occupied area ratio reaches 93.70%. The results prove that the automatic layout and intelligent optimization methods of nuclear power plant are feasible.
Solution Method of Flow Field in the Narrow Rectangular Channel Based on Physics-informed Neural Network
Zhang Xiaoying, Yuan Dewen, Bi Jingliang, Huang Yanping
2025, 46(4): 266-272. doi: 10.13832/j.jnpe.2024.080040
Abstract(11) HTML (5)
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To explore the application potential of Physics-informed Neural Network (PINN) in the field of thermal and hydraulic calculation, multiple working conditions for both laminar and turbulent flow in a narrow rectangular channel were calculated in this study. Computational Fluid Dynamics (CFD) was utilized to obtain label data, and the continuity equation and N-S equations were embedded into the neural network model for prediction. The results show that for the incompressible flow in the narrow rectangular channel, the PINN model can accurately restore the flow field characteristics for laminar flow conditions. For turbulent conditions, the weight of the loss term of the model can be adjusted to achieve good consistency between the predicted solution and the CFD numerical solution. Therefore, the PINN model can be applied to the flow field calculation of narrow rectangular channels, and can further accumulate experience for the rapid analysis of flow fields in more scenarios.
Comparative Study on the Microstructure and Properties of Co-based and Ni-based Coatings Prepared by Laser Cladding
Wu Weijian, Feng Yueqiao, Li Wei
2025, 46(4): 273-281. doi: 10.13832/j.jnpe.2024.080050
Abstract(21) HTML (11)
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To verify the feasibility of replacing Co-based coatings with Ni-based coatings, laser cladding was used to prepare Ni55 Ni-based coatings and Stellite 6 Co-based coatings. The study compared the advantages and disadvantages of the two coatings in terms of microstructure, wear resistance, and corrosion resistance through observations of microstructure, hardness analysis, friction and wear testing, and electrochemical corrosion testing. The results showed that the dilution rate of the Ni55 coating was slightly higher, and the microstructure was mostly isometric crystal, while the Stellite 6 coating had dendritic crystal growing parallel to the heat flow direction. The average hardness of the Ni55 coating was 527 HV, higher than the 448 HV of the Stellite 6 coating. The friction and wear test results showed that the friction coefficient and wear loss weight of the Ni55 coating were both lower than those of the Stellite 6 coating at room temperature. At 300 ℃, the friction coefficient of the Ni55 coating was slightly higher than that of the Stellite 6 coating, but the wear loss weight and wear volume were both lower. The electrochemical corrosion test results showed that the Ni55 coating had better corrosion resistance. Therefore, the Ni55 coating has the potential to replace the Stellite 6 coating for the drive mechanism wear-resistant parts such as hook claws of the nuclear reactor control rod.
Research on PIRT Automatic Generation Method based on Deep Learning Algorithm
Shi Danyi, Gao Xinli, Guo Zhangpeng, Gao Ge
2025, 46(4): 282-291. doi: 10.13832/j.jnpe.2024.080056
Abstract(24) HTML (7)
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The Best Estimate Plus Uncertainty (BEPU) analysis method is one of the main approaches for nuclear safety review. However, conducting sensitivity and uncertainty analyses with best-estimate code requires high calculation costs. Artificial intelligence-based surrogate models can significantly improve analytical efficiency. In this paper, the steam generator tube rupture (SGTR) accident in a nuclear power plant is used as a case study. A surrogate model is established using a deep neural network algorithm, coupled with the sensitivity and uncertainty analysis code DAKOTA. Based on accident acceptance criteria, accident input and output variables are identified, and Sobol sensitivity indicator is used for sensitivity analysis. The analysis results provide an importance ranking of input parameters based on sensitivity indicator, and a secondary-ranked Phenomena Identification Ranhing Table (PIRT) is generated. The study demonstrates that the DNN-based surrogate model can accurately predict the variation trends of critical safety parameters, can be used for sensitivity analysis of these parameters to obtain importance ranking of parameters, and can automatically generate a PIRT for importance ranking of parameters.
Research on Anomaly Detection and Fault Diagnosis Technology for Complex Systems in Nuclear Power Plants Based on State Estimation
Zhang Yiwang, Pei Jie, Yu Fangxiaozhi, Li Wei, Li Dongyang, Yuan Yidan
2025, 46(4): 292-299. doi: 10.13832/j.jnpe.2024.090007
Abstract(21) HTML (8)
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To achieve rapid detection and precise localization of minor faults in complex nuclear power plant systems (NPPS), this study first designed and built a predictive operation and maintenance technology test facility (hereafter referred to as the PHM test facility). Then, using nonlinear estimation and uncertainty analysis algorithms, an anomaly detection model was constructed. Finally, the operational data generated by test facility were used to test the proposed fault diagnosis technical scheme, which firstly employs a data-driven anomaly detection model to confirm the presence of anomalies, and then utilizes thermal-hydraulic analysis to localize faults. Results demonstrate that the PHM test facility can successfully produce controllable operational data of complex systems. The anomaly detection model can effectively identifiy system anomalies in a timely manner, while the fault diagnosis results obtained in thermal-hydraulic analysis for anomaly signal is consistent with the pre-injected faults in the test facility. This test facility addresses the current challenges in nuclear power applications where state estimation and anomaly detection algorithms predominantly rely on simulated data or operational data from other industrial scenarios for validation. Furthermore, it confirms the capability of the proposed fault diagnosis technical scheme to detect and localize minor faults for complex systems in NPPS.