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A CNN-Based Single-Stage Occlusion Real-Time Target Detection Method
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作者 Liang Liu Nan Yang +4 位作者 Saifei Liu Yuanyuan Cao Shuowen Tian Tiancheng Liu Xun Zhao 《Journal of Intelligent Learning Systems and Applications》 2024年第1期1-11,共11页
Aiming at the problem of low accuracy of traditional target detection methods for target detection in endoscopes in substation environments, a CNN-based real-time detection method for masked targets is proposed. The m... Aiming at the problem of low accuracy of traditional target detection methods for target detection in endoscopes in substation environments, a CNN-based real-time detection method for masked targets is proposed. The method adopts the overall design of backbone network, detection network and algorithmic parameter optimisation method, completes the model training on the self-constructed occlusion target dataset, and adopts the multi-scale perception method for target detection. The HNM algorithm is used to screen positive and negative samples during the training process, and the NMS algorithm is used to post-process the prediction results during the detection process to improve the detection efficiency. After experimental validation, the obtained model has the multi-class average predicted value (mAP) of the dataset. It has general advantages over traditional target detection methods. The detection time of a single target on FDDB dataset is 39 ms, which can meet the need of real-time target detection. In addition, the project team has successfully deployed the method into substations and put it into use in many places in Beijing, which is important for achieving the anomaly of occlusion target detection. 展开更多
关键词 Real-Time Mask Target CNN (Convolutional Neural Network) single-stage Detection Multi-Scale Feature Perception
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Maskless fabrication of quasi-omnidirectional V-groove solar cells using an alkaline solution-based method
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作者 陈兴谦 王燕 +6 位作者 陈伟 刘尧平 邢国光 冯博文 李昊臻 孙纵横 杜小龙 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第1期236-242,共7页
Silicon passivated emitter and rear contact(PERC) solar cells with V-groove texture were fabricated using maskless alkaline solution etching with in-house developed additive. Compared with the traditional pyramid text... Silicon passivated emitter and rear contact(PERC) solar cells with V-groove texture were fabricated using maskless alkaline solution etching with in-house developed additive. Compared with the traditional pyramid texture, the V-groove texture possesses superior effective minority carrier lifetime, enhanced p–n junction quality and better applied filling factor(FF). In addition, a V-groove texture can greatly reduce the shading area and edge damage of front Ag electrodes when the V-groove direction is parallel to the gridline electrodes. Due to these factors, the V-groove solar cells have a higher efficiency(21.78%) than pyramid solar cells(21.62%). Interestingly, external quantum efficiency(EQE) and reflectance of the V-groove solar cells exhibit a slight decrease when the incident light angle(θ) is increased from 0° to 75°, which confirms the excellent quasi omnidirectionality of the V-groove solar cells. The proposed V-groove solar cell design shows a 2.84% relative enhancement of energy output over traditional pyramid solar cells. 展开更多
关键词 V-groove alkaline etching quasi omnidirectionality silicon solar cell
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Static-to-kinematic modeling and experimental validation of tendon-driven quasi continuum manipulators with nonconstant subsegment stiffness
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作者 郑先杰 丁萌 +2 位作者 刘辽雪 王璐 郭毓 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第1期316-326,共11页
Continuum robots with high flexibility and compliance have the capability to operate in confined and cluttered environments. To enhance the load capacity while maintaining robot dexterity, we propose a novel non-const... Continuum robots with high flexibility and compliance have the capability to operate in confined and cluttered environments. To enhance the load capacity while maintaining robot dexterity, we propose a novel non-constant subsegment stiffness structure for tendon-driven quasi continuum robots(TDQCRs) comprising rigid-flexible coupling subsegments.Aiming at real-time control applications, we present a novel static-to-kinematic modeling approach to gain a comprehensive understanding of the TDQCR model. The analytical subsegment-based kinematics for the multisection manipulator is derived based on screw theory and product of exponentials formula, and the static model considering gravity loading,actuation loading, and robot constitutive laws is established. Additionally, the effect of tension attenuation caused by routing channel friction is considered in the robot statics, resulting in improved model accuracy. The root-mean-square error between the outputs of the static model and the experimental system is less than 1.63% of the arm length(0.5 m). By employing the proposed static model, a mapping of bending angles between the configuration space and the subsegment space is established. Furthermore, motion control experiments are conducted on our TDQCR system, and the results demonstrate the effectiveness of the static-to-kinematic model. 展开更多
关键词 static-to-kinematic modeling scheme tendon-driven quasi continuum robot nonconstant subsegment stiffness tension attenuation effect
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Quasi-Hermite插值在一重积分Wiener空间的平均误差
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作者 曹莉 马海腾 +1 位作者 杨巧玲 许贵桥 《内蒙古大学学报(自然科学版)》 CAS 2024年第5期449-458,共10页
在一重积分Wiener空间下确定了一种Quasi-Hermite插值多项式算子列在加权L_(p)-范数逼近意义下的L_(p)-平均误差的弱渐近阶。结果显示从信息基复杂性的角度来看,如果选取Hermite数据作为可允许的信息泛函,那么这种多项式插值算子列的p-... 在一重积分Wiener空间下确定了一种Quasi-Hermite插值多项式算子列在加权L_(p)-范数逼近意义下的L_(p)-平均误差的弱渐近阶。结果显示从信息基复杂性的角度来看,如果选取Hermite数据作为可允许的信息泛函,那么这种多项式插值算子列的p-平均误差弱等价于相应的最小非自适应信息p-平均半径。 展开更多
关键词 quasi-Hermite插值 一重积分Wiener空间 平均误差 L_(p)-范数
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Study of damage behavior and repair effectiveness of patch repaired carbon fiber laminate under quasi-static indentation loading
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作者 Alok Kumar Chinmaya Kumar Sahoo A.Arockiarajan 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2024年第4期29-41,共13页
Damage caused due to low-velocity impacts in composites leads to substantial deterioration in their residual strength and eventually provokes structural failure.This work presents an experimental investigation on the ... Damage caused due to low-velocity impacts in composites leads to substantial deterioration in their residual strength and eventually provokes structural failure.This work presents an experimental investigation on the effects of different patch and parent laminate stacking sequences on the enhancement of impact strength of Carbon Fiber Reinforced Polymers(CFRP)composites by utilising the adhesively bonded external patch repair technique.Damage evolution study is also performed with the aid of Acoustic Emission(AE).Two different quasi-isotropic configurations were selected for the parent laminate,viz.,[45°/45°/0°/0°]s and[45°/0°/45°/0°]s.Quasi Static Indentation(QSI)test was performed on both the pristine laminates,and damage areas were detected by using the C-scan inspection technique.Damaged laminates were repaired by using a single-sided patch of two different configurations,viz.,[45°/45°/45°/45°]and[45°/0°/0°/45°],and employing a circular plug to fill the damaged hole.Four different combinations of repaired laminates with two configurations of each parent and patch laminate were produced,which were further subjected to the QSI test.The results reveal the effectiveness of the repair method,as all the repaired laminates show higher impact resistance compared to the respective pristine laminates.Patches of[45°/0°/0°/45°]configuration when repaired by taking[45°/45°/0°/0°]s and[45°/0°/45°/0°]s as parents exhibited 68%and 73%higher peak loads,respectively,than the respective pristine laminates.Furthermore,parent and patch of configuration[45°/0°/45°/0°]s and[45°/0°/0°/45°],respectively,attain the highest peak load,whereas[45°/45°/0°/0°]s and[45°/45°/45°/45°]combinations possess the most gradual decrease in the load. 展开更多
关键词 Carbon fiber reinforced polymers(CFRP) quasi-isotropic laminate quasi static indentation(QSI) Acoustic emission(AE) Composite repair
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一种单相Quasi-Z源逆变器二次谐波电流抑制策略
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作者 刘欣 高鑫波 袁静 《太阳能学报》 EI CAS CSCD 北大核心 2024年第6期349-358,共10页
为抑制单相qZSI直流侧二次谐波电流,提出一种基于虚拟阻抗的二次谐波电流抑制策略。该控制策略通过引入串联虚拟阻抗附加控制以提高单相qZSI在2f_(0)处的闭环输出阻抗,用以有效抑制直流侧的二次谐波电流。同时,综合考虑二次谐波电流抑... 为抑制单相qZSI直流侧二次谐波电流,提出一种基于虚拟阻抗的二次谐波电流抑制策略。该控制策略通过引入串联虚拟阻抗附加控制以提高单相qZSI在2f_(0)处的闭环输出阻抗,用以有效抑制直流侧的二次谐波电流。同时,综合考虑二次谐波电流抑制要求以及保证系统稳定裕度等约束条件,提出该控制策略的闭环参数设计方法。最后通过数字仿真和基于RT-LAB的硬件在环仿真验证了所提二次谐波电流抑制策略以及其闭环参数设计方法的正确性。 展开更多
关键词 光伏发电 准Z源 逆变器 谐波分析 虚拟阻抗
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Quasi-MIL-125(Ti)催化剂的制备及光催化性能研究
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作者 朱联升 马松 +4 位作者 廖敏丽 赵玉莹 耿龙龙 李洪亮 刘中敏 《山东化工》 CAS 2024年第10期56-58,共3页
利用有机配体部分热解构建Quasi-MOFs是提升MOFs光催化性能的有效途径之一。本论文将MIL-125(Ti)在340℃的空气氛围下焙烧制备Quasi-MIL-125(Ti),利用XRD、SEM、TEM、EIS等研究了催化剂的晶相结构、形貌以及其光生载流子的分离效率并考... 利用有机配体部分热解构建Quasi-MOFs是提升MOFs光催化性能的有效途径之一。本论文将MIL-125(Ti)在340℃的空气氛围下焙烧制备Quasi-MIL-125(Ti),利用XRD、SEM、TEM、EIS等研究了催化剂的晶相结构、形貌以及其光生载流子的分离效率并考察了可见光光催化降解四环素和罗丹明B的性能。结果表明,Quasi-MIL-125(Ti)在光照60 min后对四环素和罗丹明B的去除率均可达100%。光电流和电阻抗表征揭示了优良光催化性能得益于光生电子-空穴对的高效分离和迁移。可为污水中其他抗生素和染料的去除提供参考,具有重要的研究意义。 展开更多
关键词 光催化剂 quasi-MIL-125(Ti) 焙烧 四环素 罗丹明B
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On the Equality of Weighted BajratarevićMeans to Quasi-Arithmetic Means
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作者 Yaxun Yang 《Journal of Applied Mathematics and Physics》 2024年第4期1126-1133,共8页
In this paper, we considered the equality problem of weighted Bajraktarević means with weighted quasi-arithmetic means. Using the method of substituting for functions, we first transform the equality problem into solv... In this paper, we considered the equality problem of weighted Bajraktarević means with weighted quasi-arithmetic means. Using the method of substituting for functions, we first transform the equality problem into solving an equivalent functional equation. We obtain the necessary and sufficient conditions for the equality equation. 展开更多
关键词 Bajraktarević Means quasi-Arithmetic Means Equality Problem Functional Equation
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The Maximum and Minimum Value of Exponential RandićIndices of Quasi-Tree Graph
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作者 Lei Qiu Xijie Ruan Yan Zhu 《Journal of Applied Mathematics and Physics》 2024年第5期1804-1818,共15页
The exponential Randić index has important applications in the fields of biology and chemistry. The exponential Randić index of a graph G is defined as the sum of the weights e 1 d( u )d( v ) of all edges uv of G, whe... The exponential Randić index has important applications in the fields of biology and chemistry. The exponential Randić index of a graph G is defined as the sum of the weights e 1 d( u )d( v ) of all edges uv of G, where d( u ) denotes the degree of a vertex u in G. The paper mainly provides the upper and lower bounds of the exponential Randić index in quasi-tree graphs, and characterizes the extremal graphs when the bounds are achieved. 展开更多
关键词 Exponential Randić Index quasi-Tree Graph Extremal Value Extremal Graphs
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Fuzzy Henstock-Kurzweil Triple Integral on a Type 1 Quasi-Fuzzy Parallelepipedal Domain
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作者 Kumwimba Seya Didier Kasongo Ntambwe Dany +2 位作者 Panga Lutanda Grégoire Mayuke Katshongo Jean Paul Lunda Ngoy Jean Pierre 《Journal of Applied Mathematics and Physics》 2024年第3期897-911,共15页
In this article, we propose by using the Hausdorff distance Simpson’s rule for the triple integral of a fuzzy-valued function and the error bound of this method, one of the variables of which is fuzzy. In addition, t... In this article, we propose by using the Hausdorff distance Simpson’s rule for the triple integral of a fuzzy-valued function and the error bound of this method, one of the variables of which is fuzzy. In addition, thin δ-fine partitions are introduced. The integration domain is a quasi-fuzzy parallelipiped. A numerical example is presented in order to show the application and the significance of the method. 展开更多
关键词 Fuzzy-Valued Function Hausdorff Distance quasi-Fuzzy Parallelipiped Henstock Integral
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Crank-Nicolson Quasi-Compact Scheme for the Nonlinear Two-Sided Spatial Fractional Advection-Diffusion Equations
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作者 Dechao Gao Zeshan Qiu +1 位作者 Lizan Wang Jianxin Li 《Journal of Applied Mathematics and Physics》 2024年第4期1089-1100,共12页
The higher-order numerical scheme of nonlinear advection-diffusion equations is studied in this article, where the space fractional derivatives are evaluated by using weighted and shifted Grünwald difference oper... The higher-order numerical scheme of nonlinear advection-diffusion equations is studied in this article, where the space fractional derivatives are evaluated by using weighted and shifted Grünwald difference operators and combining the compact technique, in the time direction is discretized by the Crank-Nicolson method. Through the energy method, the stability and convergence of the numerical scheme in the sense of L<sub>2</sub>-norm are proved, and the convergence order is . Some examples are given to show that our numerical scheme is effective. 展开更多
关键词 Crank-Nicolson quasi-Compact Scheme Fractional Advection-Diffusion Equations NONLINEAR Stability and Convergence
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Microstructure and Magnetic Properties of Anisotropic Nd-Fe-B Magnets Fabricated by Single-Stage Hot Deformation 被引量:4
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作者 田浩 金东哲 +2 位作者 李瑛 朱明原 金红明 《Journal of Rare Earths》 SCIE EI CAS CSCD 2006年第z2期318-320,共3页
Anisotropic Nd-Fe-B magnets were fabricated by the single stage hot deformation (SSHD) method. The magnetic properties of the anisotropic Nd-Fe-B magnets are as follows: the maximum energy product is 234.7 kJ·m-3... Anisotropic Nd-Fe-B magnets were fabricated by the single stage hot deformation (SSHD) method. The magnetic properties of the anisotropic Nd-Fe-B magnets are as follows: the maximum energy product is 234.7 kJ·m-3 , remanence 1.16 T and coercivity 684.3 kA·m-1. A study of the relationship between microstructure and magnetic properties for the anisotropic Nd-Fe-B magnets was carried out. The results show that the grains of Nd2Fe14B have grown up preferentially along the direction perpendicular to the pressing direction. 展开更多
关键词 ANISOTROPY ND-FE-B single-stage hot deformation mierostructure rare earths
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一种适用于大幅值Quasi周期轨道的数值构造方法 被引量:1
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作者 李瑞龙 朱战霞 《宇航学报》 EI CAS CSCD 北大核心 2023年第1期52-61,共10页
针对现有方法在构造大幅值quasi周期轨道时收敛性和通用性不足等问题,提出一种适用于大幅值quasi周期轨道的数值构造方法。首先针对2维不变环面的计算问题,设计了映射间隔约束的环面多步微分修正算法。在此基础上,采用自然参数延拓法和... 针对现有方法在构造大幅值quasi周期轨道时收敛性和通用性不足等问题,提出一种适用于大幅值quasi周期轨道的数值构造方法。首先针对2维不变环面的计算问题,设计了映射间隔约束的环面多步微分修正算法。在此基础上,采用自然参数延拓法和伪弧长延拓法两种不同的思路构造等映射间隔的quasi周期轨道族。接着以quasi-Vertical为对象分析了两种思路各自的特点。最后以quasi-Axial,quasi-DRO等为对象验证了方法对三角平动点及多对复特征值情况的适用性。仿真结果表明,所提出的方法能够简单有效地解决多种类型幅值比超过1.2的大幅值quasi周期轨道的数值计算问题。 展开更多
关键词 quasi周期轨道 不变环面 数值延拓 轨道设计
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Fatigue Properties of RPC under Cyclic Loads of Single-stage and Multi-level Amplitude 被引量:3
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作者 安明喆 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2010年第1期167-173,共7页
Fatigue properties of Reactive Powder Concrete (RPC) under axial compression of single-stage and multi-level amplitude in cycles were studied. The tests reveal the fatigue life, the strain and residual life of the R... Fatigue properties of Reactive Powder Concrete (RPC) under axial compression of single-stage and multi-level amplitude in cycles were studied. The tests reveal the fatigue life, the strain and residual life of the RPC samples. Through the analysis of the test results under cyclic loads of single amplitude, the S-N curve of RPC and the evolution rule of macro-damage of RPC were presented, which can be divided into latency stage, stable development stage and instability development stage according to the evolution pattern of the fatigue crack. Accordingly, the development of longitudinal deformation presents the similar three-stage-model, and the proportion of each stage is 15%, 75%, and 10%. According to test results, the fatigue strength reduction factor is 0.564. We brought forward an empirical formula to predict the life of RPC via total longitudinal strain and got the evolving rule for the residual strength of the RPC. The analysis of the test results under cyclic loads of multi-level amplitude shows that the strain under this loading pattern experiences three stages. The characteristic value for the residual strain was obtained. The irreversible damage and non-linear evolution of RPC was described by the development of the residual plastic strain. 展开更多
关键词 Reactive Powder Concrete (RPC) single-stage amplitude multi-level amplitude FATIGUE
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A High-Efficiency Single-Stage Low-Power Photovoltaic Inverter System with Maximum Power Point Tracking Control 被引量:1
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作者 Ching-Ming Lai Hsien-Peng You 《Energy and Power Engineering》 2014年第9期222-234,共13页
This paper proposes a single-stage inverter system with maximum power point tracking control (MPPT) applicable in low-power photovoltaic (PV) energy conversion systems. The proposed system is successfully implemented ... This paper proposes a single-stage inverter system with maximum power point tracking control (MPPT) applicable in low-power photovoltaic (PV) energy conversion systems. The proposed system is successfully implemented using a single digital signal processor (DSP) TMS320F2808. The proposed single-stage inverter system has the following features: 1) the ability to harvest the maximum PV power using two simple and effective current sampling methods;2) flexible topology based on the positioning of DC link capacitor on the outside of the inverter bridge circuits;3) reduced volume and higher efficiency than the conventional two-stage inverters, and 4) MPPT accuracy of 99.3% with overall efficiency of 90% under the full-load condition. 展开更多
关键词 PV single-stage INVERTER MPPT DSP
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基于Quasi-Z源逆变器的光伏并网系统模型预测控制 被引量:1
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作者 熊军华 王梦迪 焦亚纯 《电力电容器与无功补偿》 2023年第4期95-101,共7页
为了克服传统并网逆变器不能兼具升降压变换的功能以及死区引起的输出波形畸变等问题,设计一种基于Quasi⁃Z源逆变器的光伏并网系统。提出一种改进的有限集模型预测控制策略来控制并网Quasi⁃Z源逆变器的直流升压电压和交流输出电流,更好... 为了克服传统并网逆变器不能兼具升降压变换的功能以及死区引起的输出波形畸变等问题,设计一种基于Quasi⁃Z源逆变器的光伏并网系统。提出一种改进的有限集模型预测控制策略来控制并网Quasi⁃Z源逆变器的直流升压电压和交流输出电流,更好的调节输出波形的质量、提升系统的动态性能和稳定性。在所设计的系统中,依据测得的Quasi⁃Z源逆变器的电容电压和交流负载电流的值,再对电容器电压和输出交流的数值进行预测。在确定qZSI可能产生的每一个电压矢量之后,将其用以跟踪电容电压和输出电流参考值。从而在单级逆变器中实现光伏发电的最大功率点跟踪和单位功率因数并网,在光照强度阶跃变化时,仿真结果表明系统具有优良的动态响应性能。结果验证了所采用的系统结构和算法的有效性和可行性。 展开更多
关键词 光伏并网 quasi⁃Z源逆变器 模型预测控制
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基于变分节块法六角形Quasi-diffusion程序开发及验证
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作者 庄坤 王连杰 +2 位作者 刘琨 颜江涛 尚文 《原子能科学技术》 EI CAS CSCD 北大核心 2023年第1期147-155,共9页
传统扩散理论在中子各向异性强的堆芯计算中具有较低的精度,Quasi-diffusion方程相比于传统扩散方程引入更少的近似,通过艾丁顿因子描述传统扩散理论不能反映的中子流各向异性特点。国内外对六角形几何三维Quasi-diffusion方程研究有所... 传统扩散理论在中子各向异性强的堆芯计算中具有较低的精度,Quasi-diffusion方程相比于传统扩散方程引入更少的近似,通过艾丁顿因子描述传统扩散理论不能反映的中子流各向异性特点。国内外对六角形几何三维Quasi-diffusion方程研究有所不足。针对艾丁顿因子计算的非线性特点,本文基于“两步法”的思想,将艾丁顿因子看作是一个特殊的少群参数,采用中子能谱适应性更好的蒙特卡罗程序SERPENT计算,并对传统扩散变分节块法进行拓展,开发了六角形组件堆芯计算程序VNMQD。采用3D VVER1000基准题、RBWR单组件问题、3D BN600简化模型对程序进行了验证,结果表明:VNMQD程序开发正确,对于非均匀性较强的堆芯,VNMQD比传统扩散方法计算精度更高、计算效率接近,实现了计算精度和计算效率的平衡。 展开更多
关键词 变分节块法 六角形 quasi-diffusion方程 艾丁顿因子
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A Novel Single-Switch Single-Stage Electronic Ballast
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作者 Lu-Hua Zhu Xing-Bi Chen Hong-Sheng Zhong 《Journal of Electronic Science and Technology of China》 2009年第2期156-159,共4页
A single-stage single-switch high- frequency electronic ballast topology is presented. The circuit topology is the integration of a buck power- factor-correction (PFC) converter and a class E resonant inverter with ... A single-stage single-switch high- frequency electronic ballast topology is presented. The circuit topology is the integration of a buck power- factor-correction (PFC) converter and a class E resonant inverter with only one active power switch. The buck converter is operated in discontinuous conduction mode and at a fixed switching frequency, and constant duty cycle to achieve high power factor and it can be controlled easily. Detailed analysis of the operation and characteristics of the circuit is provided. Simulation results satisfy present standard requirements. 展开更多
关键词 Electronic ballast single-switch single-stage power factor correction(PFC).
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Solute drag-controlled grain growth in magnesium investigated by quasi in-situ orientation mapping and level-set simulations
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作者 Risheng Pei Yujun Zhao +2 位作者 Muhammad Zubair Sangbong Yi Talal Al-Samman 《Journal of Magnesium and Alloys》 SCIE EI CAS CSCD 2023年第7期2312-2325,共14页
Critical properties of metallic materials,such as the yield stress,corrosion resistance and ductility depend on the microstructure and its grain size and size distribution.Solute atoms that favorably segregate to grai... Critical properties of metallic materials,such as the yield stress,corrosion resistance and ductility depend on the microstructure and its grain size and size distribution.Solute atoms that favorably segregate to grain boundaries produce a pinning atmosphere that exerts a drag pressure on the boundary motion,which strongly affects the grain growth behavior during annealing.In the current work,the characteristics of grain growth in an annealed Mg-1 wt.%Mn-1 wt.%Nd magnesium alloy were investigated by advanced experimental and modeling techniques.Systematic quasi in-situ orientation mappings with a scanning electron microscope were performed to track the evolution of local and global microstructural characteristics as a function of annealing time.Solute segregation at targeted grain boundaries was measured using three-dimensional atom probe tomography.Level-set computer simulations were carried with different setups of driving forces to explore their contribution to the microstructure development with and without solute drag.The results showed that the favorable growth advantage for some grains leading to a transient stage of abnormal grain growth is controlled by several drivers with varying importance at different stages of annealing.For longer annealing times,residual dislocation density gradients between large and smaller grains are no longer important,which leads to microstructure stability due to predominant solute drag.Local fluctuations in residual dislocation energy and solute concentration near grain boundaries cause different boundary segments to migrate at different rates,which affects the average growth rate of large grains and their evolved shape. 展开更多
关键词 Magnesium alloys Grain growth quasi in-situ EBSD Level-set simulation Solute drag Dislocation density gradient
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Quasi Controlled K-Metric Spaces over C^(*)-Algebras with an Application to Stochastic Integral Equations
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作者 Ouafaa Bouftouh Samir Kabbaj +1 位作者 Thabet Abdeljawad Aziz Khan 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第6期2649-2663,共15页
Generally,the field of fixed point theory has attracted the attention of researchers in different fields of science and engineering due to its use in proving the existence and uniqueness of solutions of real-world dyn... Generally,the field of fixed point theory has attracted the attention of researchers in different fields of science and engineering due to its use in proving the existence and uniqueness of solutions of real-world dynamic models.C^(∗)-algebra is being continually used to explain a physical system in quantum field theory and statistical mechanics and has subsequently become an important area of research.The concept of a C^(∗)-algebra-valued metric space was introduced in 2014 to generalize the concept of metric space.In fact,It is a generalization by replacing the set of real numbers with a C^(∗)-algebra.After that,this line of research continued,where several fixed point results have been obtained in the framework of C^(∗)-algebra valued metric,aswell as(more general)C^(∗)-algebra-valued b-metric spaces andC^(∗)-algebra-valued extended b-metric spaces.Very recently,based on the concept and properties of C^(∗)-algebras,we have studied the quasi-case of such spaces to give a more general notion of relaxing the triangular inequality in the asymmetric case.In this paper,we first introduce the concept of C^(∗)-algebra-valued quasi-controlledK-metric spaces and prove some fixed point theorems that remain valid in this setting.To support our main results,we also furnish some exampleswhichdemonstrate theutility of ourmainresult.Finally,as an application,we useour results to prove the existence and uniqueness of the solution to a nonlinear stochastic integral equation. 展开更多
关键词 C^(*)-algebra-valued quasi controlled K-metric spaces left convergence right convergence fixed point CONTRACTION
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