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Rectifiable空间中的基数不变量
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作者 张静 贺伟 《南京师大学报(自然科学版)》 CAS CSCD 北大核心 2016年第2期1-3,21,共4页
讨论了Rectifiable空间G中以下几个基数不变量:(1)A是G的U-离散子集当且仅当A的闭包是U-离散的;(2)nω(G)≤ib(G)χ(G);(3)若U是e在G中的开邻域,则存在G的子集A且||A≤c(G)使得G=(AU)U;(4)ω(G)=nω(G)χ(G).这些结果推广了拓扑群中的... 讨论了Rectifiable空间G中以下几个基数不变量:(1)A是G的U-离散子集当且仅当A的闭包是U-离散的;(2)nω(G)≤ib(G)χ(G);(3)若U是e在G中的开邻域,则存在G的子集A且||A≤c(G)使得G=(AU)U;(4)ω(G)=nω(G)χ(G).这些结果推广了拓扑群中的相应结果 . 展开更多
关键词 rectifiable空间 拓扑群 基数不变量
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关于rectifiable空间中的局部(序列)连通性的几个注记
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作者 张静 《高校应用数学学报(A辑)》 CSCD 北大核心 2017年第1期87-92,共6页
给出连通的rectifiable空间是局部序列连通(或局部连通)的刻画,推广了拓扑群中的相应结果;利用rectifiable空间G中e的局部邻域基给出G是局部连通(或局部序列连通)的刻画;证明了若A是rectifiable空间G中的序列开子集,那么H=A是G的序列开r... 给出连通的rectifiable空间是局部序列连通(或局部连通)的刻画,推广了拓扑群中的相应结果;利用rectifiable空间G中e的局部邻域基给出G是局部连通(或局部序列连通)的刻画;证明了若A是rectifiable空间G中的序列开子集,那么H=A是G的序列开rectifiable子空间. 展开更多
关键词 rectifiable空间 局部连通空间 局部序列连通空间 对角连通空间 对角序列连通空间
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Rectifiable空间的两个注记
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作者 张静 《闽南师范大学学报(自然科学版)》 2016年第1期14-16,共3页
给出Rectifiable P-空间的定义并给出了Rectifiable P-空间的几个性质;其次给出了Rectifiable空间的开映射和几乎开映射的等价刻画.把拓扑群中的相关结果推广到更一般的Rectifiable空间.
关键词 rectifiable P-空间 开映射 几乎开映射
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连通和序列紧的Rectifiable空间(英文)
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作者 张静 贺伟 《数学进展》 CSCD 北大核心 2015年第4期614-620,共7页
本文主要讨论了rectifiable空间的连通,序列紧和κ-Frechet-Urysohn性质.证明了以下结果:(1)若G是局部σ-序列紧且具有Souslin性质的rectifiable空间,则G是σ-序列紧的.(2)每一连通的局部σ-紧的rectifiable空间G是σ-紧的.(3)若rectifi... 本文主要讨论了rectifiable空间的连通,序列紧和κ-Frechet-Urysohn性质.证明了以下结果:(1)若G是局部σ-序列紧且具有Souslin性质的rectifiable空间,则G是σ-序列紧的.(2)每一连通的局部σ-紧的rectifiable空间G是σ-紧的.(3)若rectifiable空间G的每一紧(可数紧,序列紧)的子空间是Frechet-Urysohn,则G的每一紧(可数紧,序列紧)的子空间是强Frechet-Urysohn.这些结果推广了拓扑群中的相应结果. 展开更多
关键词 rectifiable空间 连通空间 序列紧空间 κ—Frechet-Urysohn空间
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A Rectifier Bridge Circuit Based on Metal-semiconductor-metal Fin Tunneling Diode for High-frequency Application
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作者 DENG Hengyang QIN Cuijie +7 位作者 HAO Shenglan FENG Guangdi ZHU Qiuxiang TIAN Bobo CHU Junhao DUAN Chungang (Shanghai Center of Brain-inspired Intelligent Materials and Devices Key Laboratory of Polar Materials and Devices(MOE) 《无机材料学报》 北大核心 2026年第2期253-261,共9页
Tunneling diodes hold significant promise for future rectification in the terahertz(THz)and visible light spectra,thanks to their femtosecond-scale transit-time tunneling capabilities.In this work,TiN/ZnO/Pt fin tunne... Tunneling diodes hold significant promise for future rectification in the terahertz(THz)and visible light spectra,thanks to their femtosecond-scale transit-time tunneling capabilities.In this work,TiN/ZnO/Pt fin tunneling diodes(FTDs)with tunneling distances of 10 and 5 nm are fabricated,which demonstrate remarkable characteristics,including ultrahigh asymmetry(1.6×10^(4)for 10 nm device and 1.6×10^(3) for 5 nm device),high responsivity(25.3 V^(-1) for 10 nm device and 28.3 V^(-1) for 5 nm device)at zero bias,surpassing the thermal voltage limit of conventional Schottky diodes,and low turn-on voltage(V_(on))of approximately 100 mV for both devices,making them ideal for power conversion applications.Using technology computer-aided design(TCAD)simulations,the observed asymmetry in electronic transport is attributed to the transition between Fowler-Nordheim tunneling(FNT)and trap-assisted tunneling(TAT)under different biasing conditions,as illustrated by the corresponding energy band profiles.Furthermore,by integrating the FTDs,a rectifier bridge circuit is designed and exhibits full-wave rectification behavior,validated through SPICE simulations for THz-band operations.This advancement offers a highly efficient solution for THz-band energy conversion and effective detection applications. 展开更多
关键词 fin tunneling diode TCAD simulation rectifier bridge SPICE simulation
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On Rectifiable Curves in the Plane
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作者 Shi Pan LU Department of Mathematics, Teachers College, Jimei University, Xiamen 361021, P. R. China Cheng Ming LEE Department of Mathematical, Sciences, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201, USA 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2001年第2期327-332,共6页
This paper gives a formula of integral for the rectifiable curves in the plane by the Hausdorff fractional derivation and integral.
关键词 rectifiable curve Hausdorff measure Hausdorff fractional derivation
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AC Fault Characteristic Analysis and Fault Ride-through of Offshore Wind Farms Based on Hybrid DRU-MMC
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作者 Haokai Xie Yi Lu +5 位作者 Xiaojun Ni Yilei Gu Sihao Fu Wenyao Ye Zheren Zhang Zheng Xu 《Energy Engineering》 2026年第2期184-205,共22页
With the rapid development of large-scale offshore wind farms,efficient and reliable power transmission systems are urgently needed.Hybrid high-voltage direct current(HVDC)configurations combining a diode rectifier un... With the rapid development of large-scale offshore wind farms,efficient and reliable power transmission systems are urgently needed.Hybrid high-voltage direct current(HVDC)configurations combining a diode rectifier unit(DRU)and a modular multilevel converter(MMC)have emerged as a promising solution,offering advantages in cost-effectiveness and control capability.However,the uncontrollable nature of the DRU poses significant challenges for systemstability under offshore AC fault conditions,particularly due to its inability to provide fault current or voltage support.This paper investigates the offshore AC fault characteristics and fault ride-through(FRT)strategy of a hybrid offshore wind power transmission system based on a diode rectifier unit DRU and MMC.First,the dynamic response of the hybrid system under offshore symmetrical three-phase faults is analyzed.It is demonstrated that due to the unidirectional conduction nature of the DRU,its AC current rapidly drops to zero during faults,and the fault current is solely contributed by the wind turbine generators(WTGs)and wind farm MMC(WFMMC).Based on this analysis,a coordinated FRT strategy is proposed,which combines a segmented current limiting control for the wind-turbine(WT)grid-side converters(GSCs)and a constant AC current control for the WFMMC.The strategy ensures effective voltage support during the fault and prevents MMC current saturation during fault recovery,enabling fast and stable system restoration.Electromagnetic transient simulations in PSCAD/EMTDC verify the feasibility of the proposed fault ride-through strategy. 展开更多
关键词 Diode rectifier unit offshore AC fault analysis fault ride-through coordinate control
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Solar-blind UV light-modulatedβ-Ga_(2)O_(3)full-wave bridge rectifier
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作者 Haifeng Chen Yuduo Zhang +9 位作者 Xiexin Sun Jingguo Zong Qin Lu Yifan Jia Zhenfu Feng Zhan Wang Lijun Li Xiangtai Liu Shaoqing Wang Yue Hao 《Journal of Semiconductors》 2026年第1期24-28,共5页
A monolithic integrated full-wave bridge rectifier consisted of horizontal Schottky-barrier diodes(SBD)is prepared based on 100 nm ultra-thin β-Ga_(2)O_(3)and demonstrated the solar-blind UV(SUV)light-modulated chara... A monolithic integrated full-wave bridge rectifier consisted of horizontal Schottky-barrier diodes(SBD)is prepared based on 100 nm ultra-thin β-Ga_(2)O_(3)and demonstrated the solar-blind UV(SUV)light-modulated characteristics.Under SUV light illumination,the rectifier has the excellent full-wave rectification characteristics for the AC input signals of 5,12,and 24 V with different frequencies.Further,experimental results confirmed the feasibility of continuously tuning the rectified output through SUV light-encoding.This work provides valuable insights for the development of optically programmable Ga_(2)O_(3)ACDC converters. 展开更多
关键词 β-Ga_(2)O_(3) Schottky-barrier diode full-wave bridge rectifier solar-blind UV
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Varifolds的某些Rectifiability特征
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作者 赵培标 杨孝平 《数学物理学报(A辑)》 CSCD 北大核心 2008年第6期1029-1037,共9页
该文证明下面的定理:设一Varifold V具有特征0<lim_(r→0)(μV(Cr(x)))/(r^n)<∞,那么,V是Rectifiable的.另外,该文还给出了一个Varifold的结构表示定理.
关键词 rectifiable Varifolds 切测度 rectifiable rectifiable测度
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多模态数据驱动的古蜀锦纹样矢量化方法研究
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作者 王曼蓓 陈鹏 《艺术设计学刊》 2025年第4期108-111,共4页
本文聚焦蜀锦纹样数字化保护中的复杂破损修复与多模态信息融合难题,提出基于改进Rectified Flow框架的矢量化重建技术。通过构建双向交互多模态Transformer架构(MM-DiT)并结合Logit-Normal噪声采样机制,实现纹样语义特征与织造参数的... 本文聚焦蜀锦纹样数字化保护中的复杂破损修复与多模态信息融合难题,提出基于改进Rectified Flow框架的矢量化重建技术。通过构建双向交互多模态Transformer架构(MM-DiT)并结合Logit-Normal噪声采样机制,实现纹样语义特征与织造参数的精准匹配。该方案集成可微分渲染技术突破矢量路径层次化控制瓶颈,形成全局结构与局部细节协同优化模型。在“黄地对鹿纹锦”案例验证中,该方法使功能分区识别准确率较传统手段提升39.6%,有效解决了高频细节保留与跨模态互补问题。研究表明,多模态特征对齐机制与可微分矢量渲染融合,可显著提升复杂纹样修复质量,为文化遗产的语义—工艺双维度智能保护提供了创新技术范式,具有广泛参考价值。 展开更多
关键词 多模态纹样矢量化重建 Rectified Flow框架 MM-DiT架构 可微分渲染 文化遗产数字化保护
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Impact of Oxygen Vacancy on Performance of Amorphous InGaZnO Based Schottky Barrier Diode 被引量:1
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作者 JIA Bin TONG Xiaowen +3 位作者 HAN Zikang QIN Ming WANG Lifeng HUANG Xiaodong 《发光学报》 北大核心 2025年第3期412-420,共9页
Rectifying circuit,as a crucial component for converting alternating current into direct current,plays a pivotal role in energy harvesting microsystems.Traditional silicon-based or germanium-based rectifier diodes hin... Rectifying circuit,as a crucial component for converting alternating current into direct current,plays a pivotal role in energy harvesting microsystems.Traditional silicon-based or germanium-based rectifier diodes hinder system integration due to their specific manufacturing processes.Conversely,metal oxide diodes,with their simple fabrication techniques,offer advantages for system integration.The oxygen vacancy defect of oxide semiconductor will greatly affect the electrical performance of the device,so the performance of the diode can be effectively controlled by adjusting the oxygen vacancy concentration.This study centers on optimizing the performance of diodes by modulating the oxygen vacancy concentration within InGaZnO films through control of oxygen flows during the sputtering process.Experimental results demonstrate that the diode exhibits a forward current density of 43.82 A·cm^(−2),with a rectification ratio of 6.94×10^(4),efficiently rectifying input sine signals with 1 kHz frequency and 5 V magnitude.These results demonstrate its potential in energy conversion and management.By adjusting the oxygen vacancy,a methodology is provided for optimizing the performance of rectifying diodes. 展开更多
关键词 INGAZNO Schottky barrier diode oxygen vacancy rectifying performance
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The Electric Vehicle Surge:Effective Solutions for Charging Challenges with Advanced Converter Technologies 被引量:1
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作者 Rajanand Patnaik Narasipuram Md M.Pasha +1 位作者 Saleha Tabassum Amit Singh Tandon 《Energy Engineering》 2025年第2期431-469,共39页
The global adoption of Electric Vehicles(EVs)is on the rise due to their advanced features,with projections indicating they will soon dominate the private vehicle market.However,improper management of EV charging can ... The global adoption of Electric Vehicles(EVs)is on the rise due to their advanced features,with projections indicating they will soon dominate the private vehicle market.However,improper management of EV charging can lead to significant issues.This paper reviews the development of high-power,reliable charging solutions by examining the converter topologies used in rectifiers and converters that transfer electricity from the grid to EV batteries.It covers technical details,ongoing developments,and challenges related to these topologies and control strategies.The integration of rapid charging stations has introduced various Power Quality(PQ)issues,such as voltage fluctuations,harmonic distortion,and supra-harmonics,which are discussed in detail.The paper also highlights the benefits of controlled EV charging and discharging,including voltage and frequency regulation,reactive power compensation,and improved power quality.Efficient energy management and control strategies are crucial for optimizing EV battery charging within microgrids to meet increasing demand.Charging stations must adhere to specific converter topologies,control strategies,and industry standards to function correctly.The paper explores microgrid architectures and control strategies that integrate EVs,energy storage units(ESUs),and Renewable Energy Sources(RES)to enhance performance at charging points.It emphasizes the importance of various RES-connected architectures and the latest power converter topologies.Additionally,the paper provides a comparative analysis of microgrid-based charging station architectures,focusing on energy management,control strategies,and charging converter controls.The goal is to offer insights into future research directions in EV charging systems,including architectural considerations,control factors,and their respective advantages and disadvantages. 展开更多
关键词 Electric vehicles CONVERTERS RECTIFIERS power and voltage levels efficiency supra-harmonics
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Optimal Control for Vienna Rectifier in Unbalanced Conditions
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作者 LIU Chengzi HUANG Xiaoqi +1 位作者 MA Yaopeng BEN Guicin 《Transactions of Nanjing University of Aeronautics and Astronautics》 2025年第3期385-394,共10页
The Vienna rectifier is a widely adopted solution for high-power rectification due to its efficiency and straightforward design.However,its performance can degrade under unbalanced three phase voltage conditions,leadi... The Vienna rectifier is a widely adopted solution for high-power rectification due to its efficiency and straightforward design.However,its performance can degrade under unbalanced three phase voltage conditions,leading to current zero-crossing distortion and compromised dynamic response.This paper investigates the causes of these distortions,identifying a phase shift between the input current and the grid voltage as a primary factor,and proposes an effective distortion phase identification strategy.Furthermore,the dynamic performance is enhanced through improved current reference calculations and a refined power feedforward strategy.This approach optimizes the system's response to load changes and maintains output voltage stability under unbalanced conditions.Simulation results validate the effectiveness of the proposed methods in reducing current distortion and improving overall performance. 展开更多
关键词 zero-crossing distortion three-phase voltage unbalanced RECTIFIER power feedforward
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Numerical Study on the Influence of Rectifier Grid on the Performances of a Cement Kiln’s SCR(Selective Catalytic Reduction)Denitrification Reactor
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作者 Liang Ai Mingyue Li +6 位作者 Lumin Chen Yihua Gao Yi Sun Yue Wu Fuping Qian Jinli Lu Naijin Huang 《Fluid Dynamics & Materials Processing》 2025年第5期1171-1190,共20页
In this study,Computational Fluid Dynamics(CFD)together with a component transport model are exploited to investigate the influence of dimensionless parameters,involving the height of the rectifier grid and the instal... In this study,Computational Fluid Dynamics(CFD)together with a component transport model are exploited to investigate the influence of dimensionless parameters,involving the height of the rectifier grid and the installation height of the first catalyst layer,on the flow field and the overall denitration efficiency of a cement kiln’s SCR(Selective catalytic reduction)denitrification reactor.It is shown that accurate numerical results can be obtained by fitting the particle size distribution function to the actual cement kiln fly ash and implementing a non-uniform particle inlet boundary condition.The relative error between denitration efficiency derived from experimental data,numerical simulation,and real-time system pressure drop ranges from 4%to 9%.Optimization of the SCR reactor is achieved when the rectifier grid thickness ratio k/H≥0.030,the rectifier grid height ratio h/H=0.04,and the spacing between the rectifier grid and the first catalyst layer l/H=0.10.Under these conditions,airflow distribution and particle dispersion upstream of the catalyst result in increased denitration efficiencies of 3.21%,3.43%,and 3.27%,respectively,compared to the least favorable operating conditions. 展开更多
关键词 Cement kiln flue gas SCR denitrification reactor rectifier grid denitrification efficiency structure optimization
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Repetitive control without inductance decoupling for VSR control strategy of DC charging pile
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作者 LIU Peijin SUN Changhe +2 位作者 HE Lin ZHANG Xiangrui FENG Zhengming 《Journal of Measurement Science and Instrumentation》 2025年第1期96-106,共11页
A control strategy of repetitive control without inductorance decoupling was proposed to address the problem of high total harmonic distortion(THD)rate of the network-side current caused by the reduced stability of th... A control strategy of repetitive control without inductorance decoupling was proposed to address the problem of high total harmonic distortion(THD)rate of the network-side current caused by the reduced stability of the rectifier module of the DC charging pile under weak grid as well as the dead zone and nonlinearity of switching devices during charging.Firstly,the parallel repetitive control was constructed in the inner current loop,and the proportional-integral(PI)+repetitive controller based on parallel structure was designed.For system compensation,a second-order low-pass filter was selected to correct the system,and the network-side current harmonics were actively suppressed without increasing the filtering device,which effectively improves the quality of grid-connected current.Secondly,based on the synthetic vector method,the controller parameters were designed to realize the elimination of main pole by establishing two synchronous rotation coordinate system vector differential equations,so as to realize the inductanceless decoupling to cope with the influence of network-side inductance fluctuation on the stability of the control system under weak grid.By theoretical analysis and simulation,the proposed control strategy was embedded into the self-developed digital signal processor for the rectifier module of DC charging pile,simulated dynamic and steady-state operation experiments were conducted,and comparative analysis was performed to prove the feasibility of the proposed control strategy. 展开更多
关键词 weak grid DC charging pile voltage source rectifier(VSR) repetitive control inductanceless decoupling
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Upregulated inwardly rectifying K^(+)current-mediated hypoactivity of parvalbumin interneurons underlies autismlike deficits in Bod1-deficient mice
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作者 Chen Li Kerui Wang +3 位作者 Xingfeng Mao Takuya Sasaki Xiuxiu Liu Yingmei Lu 《Journal of Biomedical Research》 2025年第4期417-429,I0019,I0020,共15页
Parvalbumin-positive(PV^(+))interneuron dysfunction is believed to be linked to autism spectrum disorder(ASD),a neurodevelopmental disorder characterized by social deficits and stereotypical behaviors.However,the mech... Parvalbumin-positive(PV^(+))interneuron dysfunction is believed to be linked to autism spectrum disorder(ASD),a neurodevelopmental disorder characterized by social deficits and stereotypical behaviors.However,the mechanisms behind PV^(+)interneuron dysfunction remain largely unclear.Here,we found that a deficiency of Biorientation Defective 1(Bod1)in PV^(+)interneurons led to an ASD-like phenotype in Pvalb-Cre;Bod1f/f mice.Mechanistically,we observed that Bod1 deficiency induced hypoactivity of PV^(+)interneurons and hyperactivity of calcium/calmodulin-dependent protein kinaseⅡalpha(CaMKⅡα)neurons in the medial prefrontal cortex,as determined by whole-cell patch-clamp recording.Additionally,Bod1 deficiency decreased the power of highgamma oscillation,assessed by in vivo multi-channel electrophysiological recording.Furthermore,we found that Bod1 deficiency enhanced the inwardly rectifying K^(+)current,leading to an increase in the resting membrane potential of PV^(+)interneurons.Importantly,the gain-of-function of Bod1 improved social deficits and stereotypical behaviors in Pvalb-Cre;Bod1f/f mice.These findings provide mechanistic insights into the PV^(+)interneuron dysfunction and suggest new strategies for developing PV^(+)interneuron-targeted therapies for ASD. 展开更多
关键词 parvalbumin neuron biorientation defective 1 inwardly rectifying K^(+)current autism spectrum disorder
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Study on Various Rectifiers for Fan-Filter Units 被引量:3
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作者 刘俊杰 涂光备 马九贤 《Transactions of Tianjin University》 EI CAS 2002年第2期119-124,共6页
The face velocities of the high efficiency particulate air filters and the ultra low penetration airfilters in fan filter units (FFUs) have large relative standard deviation and turbulivity. It seriously affects the ... The face velocities of the high efficiency particulate air filters and the ultra low penetration airfilters in fan filter units (FFUs) have large relative standard deviation and turbulivity. It seriously affects the unidirectivity of the flow in the unidirectional flow clean zone and cleanroom. The cross contamination in this kind of unidirectional flow area is hardly controlled. It is significant to find optional method for keeping the face velocity uniformity of FFU and reducing the face velocity turbulivity of FFU, furthermore, to keep the cleanliness level under FFUs. The normal and easy method is to add flow rectifiers under filters. FFUs with various flow rectifiers have been tested. The uniformity and turbulivity of facevelocity under the FFU are presented in this paper. The influence of the facevelocity uniformity and turbulivity on the contamination boundary of the unidirectional flow is studiedas well. 展开更多
关键词 unidirectional flow air velocity UNIFORMITY turbulivity flow rectifier fan filter unit (FFU)
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具有代数结构的拓扑空间(英文)
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作者 王汉锋 贺伟 《数学进展》 CSCD 北大核心 2017年第5期735-742,共8页
本文证明了:如果rectifiable空间G是局部Lindel?fΣ-空间,则G是强仿紧空间,该结论改进了文[Topology Appl.,2015,193:182-191]的一个结果;如果rectifiable空间G的某个紧化剩余是局部σ-空间,则G是局部紧空间或可分的度量空间,该结论推... 本文证明了:如果rectifiable空间G是局部Lindel?fΣ-空间,则G是强仿紧空间,该结论改进了文[Topology Appl.,2015,193:182-191]的一个结果;如果rectifiable空间G的某个紧化剩余是局部σ-空间,则G是局部紧空间或可分的度量空间,该结论推广了文[Topology Appl.,2010,157(4):789-799]的一个结果;如果非局部紧k-gentle仿拓扑群G在某个紧化bG中的剩余具有局部G_(δ-)对角线,则G是σ-紧的cosmic空间或者bG是可分的度量空间,该结论改进了文[Topology Appl.,2007,154(6):1084-1088]与[Topotogy Apt.,2009,156(5):849-854]的两个结果. 展开更多
关键词 rectifiable空间 剩余 k-gentle仿拓扑群 Lindelof∑-空间 可度量
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Rectifier Configurations Based on Harmonic Injecting and Counteracting Principle
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作者 何丹 戴先中 +1 位作者 肖仁良 徐以荣 《Journal of Southeast University(English Edition)》 EI CAS 1999年第1期81-88,共8页
On the basis of detailed analysis of a novel harmonic counteracting method which can be used to effectively compensate the supply line harmonic currents of a passive single phase diode bridge rectifier, this paper pr... On the basis of detailed analysis of a novel harmonic counteracting method which can be used to effectively compensate the supply line harmonic currents of a passive single phase diode bridge rectifier, this paper presents two simpler single phase diode bridge rectifier configurations and their alternatives which can achieve low supply line current THD(total harmonic distortion) too. Moreover, this paper also proposes a few passive hamonic counteracting networks for multi single phase rectifiers which are connected in parallel. 展开更多
关键词 single phase rectifier harmonic compensation current injection THD
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