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Magneto-optical Kerr and Faraday effects in bilayer antiferromagnetic insulators
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作者 朱婉情 单文语 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第8期472-478,共7页
Control and detection of antiferromagnetic topological materials are challenging since the total magnetization vanishes.Here we investigate the magneto-optical Kerr and Faraday effects in bilayer antiferromagnetic ins... Control and detection of antiferromagnetic topological materials are challenging since the total magnetization vanishes.Here we investigate the magneto-optical Kerr and Faraday effects in bilayer antiferromagnetic insulator Mn Bi2Te4.We find that by breaking the combined mirror symmetries with either perpendicular electric field or external magnetic moment,Kerr and Faraday effects occur.Under perpendicular electric field,antiferromagnetic topological insulators(AFMTI)show sharp peaks at the interband transition threshold,whereas trivial insulators show small adjacent positive and negative peaks.Gate voltage and Fermi energy can be tuned to reveal the differences between AFMTI and trivial insulators.We find that AFMTI with large antiferromagnetic order can be proposed as a pure magneto-optical rotator due to sizable Kerr(Faraday)angles and vanishing ellipticity.Under external magnetic moment,AFMTI and trivial insulators are significantly different in the magnitude of Kerr and Faraday angles and ellipticity.For the qualitative behaviors,AFMTI shows distinct features of Kerr and Faraday angles when the spin configurations of the system change.These phenomena provide new possibilities to optically detect and manipulate the layered topological antiferromagnets. 展开更多
关键词 magneto-optical Kerr and Faraday effects antiferromagnetic topological insulators bilayer systems
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Numerical Simulation of Contamination Accumulation Characteristics of Composite Insulators in Salt Fog Environment
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作者 Yukun Lv Zeze Chen +2 位作者 Quanzhi Ge Qian Wang Yazhao Zhang 《Energy Engineering》 EI 2023年第2期483-499,共17页
To investigate the fouling characteristics of the composite insulator surface under the salt fog environment,the FXBW-110/120-2 composite insulator was taken as the research object.Based on the field-induced charge me... To investigate the fouling characteristics of the composite insulator surface under the salt fog environment,the FXBW-110/120-2 composite insulator was taken as the research object.Based on the field-induced charge mechanism,the multi-physical field coupling software COMSOL was used to numerically simulate the fouling characteristics,explored the calculation method of ESDD,and demonstrated its rationality.Based on this method,the pollution characteristics of the composite insulator under the pollution fog environment were studied,and the influence of wind speed,droplet size,and voltage type on the pollution characteristics of the composite insulator was analyzed.The results showed that:with the increase in wind speed,the amount of accumulated pollution of insulator increases in the range of droplet size,and the relationship between wind speed and accumulated pollution is approximately linear;at the same wind speed,the amount of accumulated pollution increases with the increase of droplet size under the action of DC voltage;when there is no voltage,the amount of dirt on the upper surface of the insulator is more than that on the lower surface,while it is the opposite under DC voltage. 展开更多
关键词 Composite insulator numerical simulation fouling characteristics equivalent salt deposit density salt fog environment
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Mn-doped topological insulators: a review 被引量:1
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作者 Jing Teng Nan Liu Yongqing Li 《Journal of Semiconductors》 EI CAS CSCD 2019年第8期64-80,共17页
Topological insulators (TIs) host robust edge or surface states protected by time-reversal symmetry (TRS), which makes them prime candidates for applications in spintronic devices. A promising avenue of research for t... Topological insulators (TIs) host robust edge or surface states protected by time-reversal symmetry (TRS), which makes them prime candidates for applications in spintronic devices. A promising avenue of research for the development of functional TI devices has involved doping of three-dimensional (3D) TI thin film and bulk materials with magnetic elements. This approach aims to break the TRS and open a surface band gap near the Dirac point. Utilizing this gapped surface state allows for a wide range of novel physical effects to be observed, paving a way for applications in spintronics and quantum computation. This review focuses on the research of 3D TIs doped with manganese (Mn). We summarize major progress in the study of Mn doped chalcogenide TIs, including Bi2Se3, Bi2Te3, and Bi2(Te,Se)3. The transport properties, in particular the anomalous Hall effect, of the Mn-doped Bi2Se3 are discussed in detail. Finally, we conclude with future prospects and challenges in further studies of Mn doped TIs. 展开更多
关键词 TOPOLOGICAL insulators THIN films electron transport ANOMALOUS HALL effect magnetic DOPING
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Fiber Bragg grating monitors for thermal and stress of the composite insulators in transmission lines 被引量:6
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作者 Heming Deng Wei Cai +3 位作者 You Song Jinsong Liu Christopher Redman Qiandong Zhuang 《Global Energy Interconnection》 2018年第3期382-390,共9页
Running composite insulators are prone to failure due to their harsh surrounding work environment, which directly affects the safe operation of transmission lines. This paper puts forward the method of using fiber Bra... Running composite insulators are prone to failure due to their harsh surrounding work environment, which directly affects the safe operation of transmission lines. This paper puts forward the method of using fiber Bragg grating(FBG) as the monitors to parameters correlated with thermal and stress of the composite insulators in transmission lines at working status. Firstly, monitoring points are found out by the mechanical test on composite insulator samples. Secondly, based on the monitoring theory, this paper introduces the feasibility design frame of the composite insulator with FBG implanted in the rod and the online monitor system. At last, it describes applications of this monitor system in the field of transmission lines. 展开更多
关键词 Thermal monitoring Stress monitoring Composite insulators Transmission lines Fiber Bragg grating monitors
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Application of artificial neural network and information theory to detection of insulators
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作者 李卫东 唐丽艳 +1 位作者 宋家骅 柳焯 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2000年第3期32-36,共5页
Information theory is used to obtain the information gain for each identification feature, and this gain is used as the weight factor for this feature to stress the role of effective feature, and the ART model based o... Information theory is used to obtain the information gain for each identification feature, and this gain is used as the weight factor for this feature to stress the role of effective feature, and the ART model based on artificial neural network theory is then used for identification thereby forming the detection system for poor insulators. Exper iments and calculations show this approach is correct and feasible. 展开更多
关键词 information GAIN artificial NEURAL NETWORK electrical POWER system DETECTION of insulators
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Progress on 2D topological insulators and potential applications in electronic devices
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作者 侯延辉 张腾 +3 位作者 孙家涛 刘立巍 姚裕贵 王业亮 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第9期36-44,共9页
Two-dimensional topological insulators(2DTIs)have attracted increasing attention during the past few years.New 2DTIs with increasing larger spin-orbit coupling(SOC)gaps have been predicted by theoretical calculations ... Two-dimensional topological insulators(2DTIs)have attracted increasing attention during the past few years.New 2DTIs with increasing larger spin-orbit coupling(SOC)gaps have been predicted by theoretical calculations and some of them have been synthesized experimentally.In this review,the 2DTIs,ranging from single element graphene-like materials to bi-elemental transition metal chalcogenides(TMDs)and to multi-elemental materials,with different thicknesses,structures,and phases,have been summarized and discussed.The topological properties(especially the quantum spin Hall effect and Dirac fermion feature)and potential applications have been summarized.This review also points out the challenge and opportunities for future 2DTI study,especially on the device applications based on the topological properties. 展开更多
关键词 two-dimensional materials topological insulators quantum spin Hall effect dissipation-less devices nanoelectronics
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Two-dimensional topological insulators with large bulk energy gap
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作者 杨中强 贾金锋 钱冬 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第11期85-92,共8页
Two-dimensional(2D) topological insulators(TTs,or quantum spin Hall insulators) are special insulators that possess bulk 2D electronic energy gap and time-reversal symmetry protected one-dimensional(1D) edge state.Car... Two-dimensional(2D) topological insulators(TTs,or quantum spin Hall insulators) are special insulators that possess bulk 2D electronic energy gap and time-reversal symmetry protected one-dimensional(1D) edge state.Carriers in the edge state have the property of spin-momentum locking,enabling dissipation-free conduction along the 1D edge.The existence of 2D TIs was confirmed by experiments in semiconductor quantum wells.However,the 2D bulk gaps in those quantum wells are extremely small,greatly limiting potential application in future electronics and spintronics.Despite this limitation,2D TIs with a large bulk gap attracted plenty of interest.In this paper,recent progress in searching for TIs with a large bulk gap is reviewed briefly.We start by introducing some theoretical predictions of these new materials and then discuss some recent important achievements in crystal growth and characterization. 展开更多
关键词 two-dimensional topological insulators large bulk energy gap one-dimensional edge state
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Edge Detection of Composite Insulators Hydrophobic Image Based on Improved Canny Operator
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作者 Kang Yan Fochi Wang +2 位作者 Zhongyuan Zhang Ningcai Li Fangcheng Lv 《Energy and Power Engineering》 2013年第4期593-596,共4页
The detection of hydrophobicity is an important way to evaluate the performance of composite insulators, which is helpful to the safe operation of composite insulators. Image processing technology is used to judge the... The detection of hydrophobicity is an important way to evaluate the performance of composite insulators, which is helpful to the safe operation of composite insulators. Image processing technology is used to judge the hydrophobicity of composite insulators, which makes detection results more accurate and overcomes the subjective drawbacks of traditional detection methods.?As the traditional Canny operator requires manual intervention in selecting the variance of the Gaussian filter and the threshold, the paper presents a method of edge detection based on improved Canny operator. First, the adaptive median filter replaces the Gaussian filter, which can eliminate the impact from the variance of Gaussian filter and remove noise according to the characteristics of the image itself. Then the Ostu threshold method is used to select the best threshold automatically, which makes the edge detection be more continuous and reduce the presence of fake edges. The results show that the operator is applicable to all hydrophobic images. 展开更多
关键词 Composite insulators HYDROPHOBICITY CANNY Operator Edge Detection Adaptive MEDIAN Filter OSTU Threshold Method
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Fractional Topological Insulators—A Bosonization Approach
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作者 D. Schmeltzer 《Journal of Modern Physics》 2016年第1期118-128,共11页
A metallic disk with strong spin orbit interaction is investigated. The finite disk geometry introduces a confining potential. Due to the strong spin-orbit interaction and confining potential the metal disk is describ... A metallic disk with strong spin orbit interaction is investigated. The finite disk geometry introduces a confining potential. Due to the strong spin-orbit interaction and confining potential the metal disk is described by an effective one-dimensional model with a harmonic potential. The harmonic potential gives rise to classical turning points. As a result, open boundary conditions must be used. We bosonize the model and obtain chiral Bosons for each spin on the edge of the disk. When the filling fraction is reduced to the electron-electron interactions are studied by using the Jordan Wigner phase for composite fermions which give rise to a Luttinger liquid. When the metallic disk is in the proximity with a superconductor, a Fractional Topological Insulator is obtained. An experimental realization is proposed. We show that by tunning the chemical potential we control the classical turning points for which a Fractional Topological Insulator is realized. 展开更多
关键词 SPIN-ORBIT Chiral Bosons CHAINS Metallic Disk Topological insulators
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Weak antilocalization and interaction-induced localization of Dirac and Weyl Fermions in topological insulators and semimetals 被引量:1
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作者 卢海舟 沈顺清 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第11期26-33,共8页
Weak localization and antilocalization are quantum transport phenomena that arise from the quantum interference in disordered metals.At low temperatures,they can give distinct temperature and magnetic field dependence... Weak localization and antilocalization are quantum transport phenomena that arise from the quantum interference in disordered metals.At low temperatures,they can give distinct temperature and magnetic field dependences in conductivity,allowing the symmetry of the system to be explored.In the past few years,they have also been observed in newly emergent topological materials,including topological insulators and topological semimetals.In contrast from the conventional electrons,in these new materials the quasiparticles are described as Dirac or Weyl fermions.In this article,we review our recent efforts on the theories of weak antilocalization and interaction-induced localization for Dirac and Weyl fermions in topological insulators and topological semimetals. 展开更多
关键词 LOCALIZATION ANTILOCALIZATION topological insulator topological semimetal
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Tunable Weyl fermions and Fermi arcs in magnetized topological crystalline insulators 被引量:1
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作者 刘军伟 方辰 傅亮 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第4期41-46,共6页
Based on k · p analysis and realistic tight-binding calculations, we find that time-reversal-breaking Weyl semimetals can be realized in magnetically-doped(Mn, Eu, Cr, etc.) Sn_(1-x)Pb_x(Te, Se) class of topologi... Based on k · p analysis and realistic tight-binding calculations, we find that time-reversal-breaking Weyl semimetals can be realized in magnetically-doped(Mn, Eu, Cr, etc.) Sn_(1-x)Pb_x(Te, Se) class of topological crystalline insulators. All the Weyl points are well separated in momentum space and possess nearly the same energy due to high crystalline symmetry.Moreover, both the Weyl points and Fermi arcs are highly tunable by varying Pb/Sn composition, pressure, magnetization,temperature, surface potential, etc., opening up the possibility of manipulating Weyl points and rewiring the Fermi arcs. 展开更多
关键词 TOPOLOGICAL crystalline insulator magnetic WEYL SEMIMETAL magnetically-doped Sn1-x Pbx(Te Se) FERMI arc
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A SVM Based Condition Monitoring of Transmission Line Insulators Using PMU for Smart Grid Environment 被引量:3
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作者 Kailasam Saranya Chinnusamy Muniraj 《Journal of Power and Energy Engineering》 2016年第3期47-60,共14页
A new methodology for the detection and identification of insulator arc faults for the smart grid environment based on phasor angle measurements is presented in this study and the real time phase angle data are collec... A new methodology for the detection and identification of insulator arc faults for the smart grid environment based on phasor angle measurements is presented in this study and the real time phase angle data are collected using Phasor Measurement Units (PMU). Detection of insulator arcing faults is based on feature extraction and frequency component analysis. The proposed methodology pertains to the identification of various stages of insulator arcing faults in transmission lines network based on leakage current, frequency characteristics and synchronous phasor measurements of voltage. The methodology is evaluated for IEEE 14 standard bus system by modeling the PMU and insulator arc faults using MATLAB/Simulink. The classification of insulator arcs is done using Support Vector Machine (SVM) technique to avoid empirical risk. The proposed methodology using phasor angle measurements employing PMU is used for fault detection/classification of insulator arcing which further helps in efficient protection of the system and its stable operation. In addition, the methodology is suitable for wide area condition monitoring of smart grid rather than end to end transmission lines. 展开更多
关键词 Phasor Measurement Units Insulator Arc Feature Extraction Synchronous Phasor Measurements Leakage Current Support Vector Machine
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Graphene-like Be_3X_2(X=C,Si, Ge,Sn):A new family of two-dimensional topological insulators
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作者 宋玲玲 张礼智 +3 位作者 官雨柔 卢建臣 闫翠霞 蔡金明 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第3期317-320,共4页
Using first-principle calculations, we predict a new family of stable two-dimensional(2 D) topological insulators(TI),monolayer Be_3 X_2(X = C,Si, Ge, Sn) with honeycomb Kagome lattice. Based on the configuration of B... Using first-principle calculations, we predict a new family of stable two-dimensional(2 D) topological insulators(TI),monolayer Be_3 X_2(X = C,Si, Ge, Sn) with honeycomb Kagome lattice. Based on the configuration of Be_3 C_2, which has been reported to be a 2 D Dirac material, we construct the other three 2 D materials and confirm their stability according to their chemical bonding properties and phonon-dispersion relationships. Because of their tiny spin-orbit coupling(SOC)gaps, Be_3 C_2 and Be_3 Si_2 are 2 D Dirac materials with high Fermi velocity at the same order of magnitude as that of graphene.For Be3 Ge2 and Be_3 Sn_2,the SOC gaps are 1.5 meV and 11.7 meV, and their topological nontrivial properties are also confirmed by their semi-infinite Dirac edge states. Our findings not only extend the family of 2 D Dirac materials, but also open an avenue to track new 2 DTI. 展开更多
关键词 DIRAC materials TOPOLOGICAL INSULATOR FIRST-PRINCIPLES calculation spin–orbit coupling
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Electron localization in ultrathin films of three-dimensional topological insulators
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作者 廖剑 史刚 +1 位作者 刘楠 李永庆 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第11期19-25,共7页
The recent discovery of three-dimensional(3D) topological insulators(TIs) has provided a fertile ground for obtaining further insights into electron localization in condensed matter systems.In the past few years,a tre... The recent discovery of three-dimensional(3D) topological insulators(TIs) has provided a fertile ground for obtaining further insights into electron localization in condensed matter systems.In the past few years,a tremendous amount of research effort has been devoted to investigate electron transport properties of 3D TIs and their low dimensional structures in a wide range of disorder strength,covering transport regimes from weak antilocalization to strong localization.The knowledge gained from these studies not only offers sensitive means to probe the surface states of 3D TIs but also forms a basis for exploring novel topological phases.In this article,we briefly review the main experimental progress in the study of the localization in 3D TIs,with a focus on the latest results on ultrathin TI films.Some new transport data will also be presented in order to complement those reported previously in the literature. 展开更多
关键词 LOCALIZATION topological insulator metal-insulator transition quantum transport
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Transport properties of topological insulators films and nanowires
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作者 刘易 马铮 +2 位作者 赵弇斐 Meenakshi Singh 王健 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第6期58-71,共14页
The last several years have witnessed the rapid developments in the study and understanding of topological insulators.In this review,after a brief summary of the history of topological insulators,we focus on the recen... The last several years have witnessed the rapid developments in the study and understanding of topological insulators.In this review,after a brief summary of the history of topological insulators,we focus on the recent progress made in transport experiments on topological insulator films and nanowires.Some quantum phenomena,including the weak antilocalization,the Aharonov-Bohm effect,and the Shubnikov-de Haas oscillations,observed in these nanostructures are described.In addition,the electronic transport evidence of the superconducting proximity effect as well as an anomalous resistance enhancement in topological insulator/superconductor hybrid structures is included. 展开更多
关键词 topological insulator surface state transport property MAGNETORESISTANCE superconducting proximity effect
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Thermoelectric effects and topological insulators
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作者 徐勇 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第11期54-62,共9页
The recent discovery of topological insulators(TIs) offers new opportunities for the development of thermoelectrics,because many TIs(like Bi_2Te_3) are excellent thermoelectric(TE) materials.In this review,we will fir... The recent discovery of topological insulators(TIs) offers new opportunities for the development of thermoelectrics,because many TIs(like Bi_2Te_3) are excellent thermoelectric(TE) materials.In this review,we will first describe the general TE properties of TIs and show that the coexistence of the bulk and boundary states in TIs introduces unusual TE properties,including strong size effects and an anomalous Seebeck effect.Importantly,the TE figure of merit zT of TIs is no longer an intrinsic property,but depends strongly on the geometric size.The geometric parameters of twodimensional TIs can be tuned to enhance zT to be significantly greater than 1.Then a few proof-of-principle experiments on three-dimensional TIs will be discussed,which observed unconventional TE phenomena that are closely related to the topological nature of the materials.However,current experiments indicate that the metallic surface states,if their advantage of high mobility is not fully utilized,would be detrimental to TE performance.Finally,we provide an outlook for future work on topological materials,which offers great possibilities to discover exotic TE effects and may lead to significant breakthroughs in improving zT. 展开更多
关键词 thermoelectric effect topological insulator surface states
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Elastic scattering of surface states on three-dimensional topological insulators
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作者 王靖 朱邦芬 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第6期49-57,共9页
Topological insulators as a new type of quantum matter materials are characterized by a full insulating gap in the bulk and gapless edge/surface states protected by the time-reversal symmetry.We propose that the inter... Topological insulators as a new type of quantum matter materials are characterized by a full insulating gap in the bulk and gapless edge/surface states protected by the time-reversal symmetry.We propose that the interference patterns caused by the elastic scattering of defects or impurities are dominated by the surface states at the extremal points on the constant energy contour.Within such a formalism,we summarize our recent theoretical investigations on the elastic scattering of topological surface states by various imperfections,including non-magnetic impurities,magnetic impurities,step edges,and various other defects,in comparison with the recent related experiments in typical topological materials such as BiSb alloys,Bi2Te3,and Bi2Se3 crystals. 展开更多
关键词 topological insulator surface state scattering by imperfection scanning tunneling microscope
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Aging Characteristics and Influencing Factors of the Sheds of Composite Insulators in Karst Regions of China
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作者 Wei Zhao Miao Jiang +1 位作者 Jun Dong Lee Li 《Energy Engineering》 EI 2021年第6期1755-1766,共12页
In recent years,more and more high-voltage overhead transmission lines were built passing through the karst regions in southwestern China.This type of special landform seems to have an adverse effect on the aging of t... In recent years,more and more high-voltage overhead transmission lines were built passing through the karst regions in southwestern China.This type of special landform seems to have an adverse effect on the aging of the sheds of the line suspension composite insulators,which may lead to unexpected flashover and line tripping.In order to find out the particularity of the aging characteristics of insulators operating in the karst regions,samples in operation were selected from both the karst regions and the flatlands.Hydrophobicity,amount of surface contamination,and contaminant composition of the sheds were studied,then a comparison of performance between the two was made,and the possible influencing factors that cause such differences were discussed.The results show that the overall aging of the sheds of the composite insulators operating at the karst regions is more aggravated,which is caused by the combined influence of factors including the special topography,climate,and pollution in the area.The strong wind crossing the col will bring about the mutual scraping on the edges and stress concentration at the root of the sheds,leaving scratches and root cracks;the infiltration from these rupture of acid liquid,if any,will accelerate the aging and corroding of the internal silicone rubber material;moreover,the carbonates enriched on the surface of the sheds will gradually transform into more corrosive sulfates in an acidic environment,leading to further deterioration and chalking of the sheds of the insulators.The research work in this paper can provide guidance for the current operation and maintenance of composite insulators in the karst areas,as well as having important reference values for the layout design and insulation configuration of transmission lines to be built across karst landforms in the future. 展开更多
关键词 Composite insulator silicone rubber aging characteristics karst region CONTAMINATION CARBONATE
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A Forecasting Method of Pollution Flashover Voltage of Insulators Based on Robust Regression
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作者 Wang Shaohua 1 , Liu Li 1 , Hu Xuguang 2 and Fang Yuqun 2 1. Zhejiang Electric Power Test and Research Institute 2. Jinhua Electric Power Bureau 《Electricity》 2011年第5期16-19,26,共5页
In view of the limitations in the prediction of pollution flashover voltage by least squares regression, a method to predict pollution flashover voltage by robust regression is proposed. According to testing voltage a... In view of the limitations in the prediction of pollution flashover voltage by least squares regression, a method to predict pollution flashover voltage by robust regression is proposed. According to testing voltage and the data of salt deposit density (ρSDD ) and non-soluble deposit density (ρNSDD ), the regression coefficient is solved by a complex weighting least square iteration algorithm. In iterative calculations, the weight function is adopted, in which the weight coefficient is the function of the residual error of last iteration to weaken the influence of singular values on the regression coefficient. The characteristic exponent denoting ρSDD influence and characteristic exponent denoting ρNSDD influence are mapped by the regression coefficient, and thus the pollution flashover voltage of insulators can be predicted. Through the comparison of test results, robust regression results and least squares regression results, the effectiveness of the proposed robust regression-based forecasting method is verified. 展开更多
关键词 INSULATOR POLLUTION FLASHOVER VOLTAGE prediction ROBUST regression least SQUARES regression
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On Mathematical Aspects of the Theory of Topological Insulators
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作者 Innocenti MARESIN Armen SERGEEV Egor TEPLYAKOV 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2024年第1期81-106,共26页
This review is devoted to one of the most interesting and actively developing fields in condensed matter physics—theory of topological insulators.Apart from its importance for theoretical physics,this theory enjoys n... This review is devoted to one of the most interesting and actively developing fields in condensed matter physics—theory of topological insulators.Apart from its importance for theoretical physics,this theory enjoys numerous connections with modern mathematics,in particular,with topology and homotopy theory,Clifford algebras,K-theory and non-commutative geometry.From the physical point of view topological invariance is equivalent to adiabatic stability.Topological insulators are characterized by the broad energy gap,stable under small deformations,which motivates application of topological methods.A key role in the study of topological ob jects in the solid state physics is played by their symmetry groups.There are three main types of symmetries—time reversion symmetry,preservation of the number of particles(charge symmetry)and PH-symmetry(particle-hole symmetry).Based on the study of symmetry groups and representation theory of Clifford algebras Kitaev proposed a classification of topological ob jects in solid state physics.In this review we pay special attention to the topological insulators invariant under time reversion. 展开更多
关键词 Topological insulators Bloch theory fermionic Fock spaces Kramers degeneration Maiorana states
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