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Dynamic physical characteristics of DC arc on arcing horn for HVDC grounding electrode line
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作者 刘益岑 杨晨光 +4 位作者 郭裕钧 张血琴 肖嵩 高国强 吴广宁 《Plasma Science and Technology》 SCIE EI CAS CSCD 2023年第1期80-87,共8页
The dynamic physical characteristics of a DC arc on an arcing horn for a high voltage direct current(HVDC)grounding electrode line are significantly different from those of the switching device arc,secondary arc,AC fa... The dynamic physical characteristics of a DC arc on an arcing horn for a high voltage direct current(HVDC)grounding electrode line are significantly different from those of the switching device arc,secondary arc,AC fault arc and pantograph-catenary arc.In this work,an experimental platform for the DC arc on the arcing horn was built,and mechanisms of the arc column short circuit and arc root movement were studied.This work further analyzes the characteristics and mechanisms of the arc motion when wind speed and direction,magnetic field and the expansion angle of the electrode are varied.Arc root movement is more likely to occur at the upper electrode.There is a competitive relationship between arc expansion and the transferring effect.The effect of wind on the arc column is greater than the effect on the arc root.The magnetic field has a significant driving effect on both the arc column and the arc root.The research results provide a comprehensive experimental basis for forther probing the method of DC arc suppression,and the improvement of the arcing horn. 展开更多
关键词 grounding electrode line arcing horn dc arc dynamic physical characteristics
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采用DC Arc Plasma JetCVD方法沉积微/纳米复合自支撑金刚石膜 被引量:3
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作者 戴风伟 陈广超 +7 位作者 兰昊 J.Askari 宋建华 李成明 佟玉梅 李彬 黑立富 吕反修 《人工晶体学报》 EI CAS CSCD 北大核心 2006年第6期1200-1202,1208,共4页
在30kW级直流电弧等离子体喷射化学气相沉积(DC Arc P lasm a Jet CVD)设备上,采用Ar-H2-CH4混合气体,通过调节甲烷浓度以及控制其他沉积参数,在Mo衬底上沉积出微/纳米复合自支撑金刚石膜。实验表明,当微米金刚石膜层沉积结束后,在随后... 在30kW级直流电弧等离子体喷射化学气相沉积(DC Arc P lasm a Jet CVD)设备上,采用Ar-H2-CH4混合气体,通过调节甲烷浓度以及控制其他沉积参数,在Mo衬底上沉积出微/纳米复合自支撑金刚石膜。实验表明,当微米金刚石膜层沉积结束后,在随后的沉积中,随着甲烷浓度的增加,金刚石膜表面的晶粒大小是逐渐减小的。当甲烷浓度达到20%以上时,金刚石膜生长面晶粒呈现菜花状的小晶团,膜体侧面已经没有了粗大的柱状晶,而是呈现出光滑的断口,对该层进行拉曼谱分析显示,位于1145 cm-1附近有一定强度的散射峰出现。这说明所沉积的晶粒全部变为纳米级尺寸。 展开更多
关键词 直流电弧等离子体喷射化学气相沉积 微/纳米复合自支撑金刚石膜 二次形核 拉曼光谱
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DC ARC发射光谱法测定纯金中18个杂质元素 被引量:10
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作者 陈洪泽 《贵金属》 CAS CSCD 2005年第4期35-38,共4页
用DCARC发射光谱法研究了纯金中杂质元素的定量分析方法,配制了一套适合贸易、科研、生产的光谱标样。本方法可以一次定量测定纯金中18个杂质元素,还进行了检出限和测量不确定度实验,结果表明方法的检出限较低,不确定度低,各杂质元素的... 用DCARC发射光谱法研究了纯金中杂质元素的定量分析方法,配制了一套适合贸易、科研、生产的光谱标样。本方法可以一次定量测定纯金中18个杂质元素,还进行了检出限和测量不确定度实验,结果表明方法的检出限较低,不确定度低,各杂质元素的相对标准偏差一般<10%,检测方法具有准确度高,检测速度快,效率高的特点。 展开更多
关键词 分析化学 dcarc 发射光谱 纯金 检测 杂质元素
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Comparison of Reynolds average Navier-Stokes turbulence models in numerical simulations of the DC arc plasma torch 被引量:2
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作者 潘子晗 叶雷 +4 位作者 钱树楼 孙强 王城 叶桃红 夏维东 《Plasma Science and Technology》 SCIE EI CAS CSCD 2020年第2期60-72,共13页
Five turbulence models of Reynolds average Navier-Stokes(RANS),including the standard k-ω model,the RNG k-e model taking into account the low Reynolds number effect,the realizable k-ω model,the SST k-ω model,and th... Five turbulence models of Reynolds average Navier-Stokes(RANS),including the standard k-ω model,the RNG k-e model taking into account the low Reynolds number effect,the realizable k-ω model,the SST k-ω model,and the Reynolds stress model(RSM),are employed in the numerical simulations of direct current(DC)arc plasma torches in the range of arc current from 80 A to 240 A and air gas flow rate from 10 m^3 h^-1 to 50 m^3 h^-1.The calculated voltage,electric field intensity,and the heat loss in the arc chamber are compared with the experiments.The results indicate that the arc voltage,the electric field,and the heat loss in the arc chamber calculated by using the standard k-ω model,the RNG k-ωmodel taking into account the low Reynolds number effect,and the realizable k-ω model are much larger than those in the experiments.The RSM predicts relatively close results to the experiments,but fails in the trend of heat loss varying with the gas flow rate.The calculated results of the SST k-ω model are in the best agreement with the experiments,which may be attributed to the reasonable predictions of the turbulence as well as its distribution. 展开更多
关键词 dc arc plasma torch numerical simulation turbulence model
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Energy Balance in DC Arc Plasma Melting Furnace 被引量:1
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作者 赵鹏 孟月东 +4 位作者 遇鑫遥 陈龙威 江贻满 倪国华 陈明周 《Plasma Science and Technology》 SCIE EI CAS CSCD 2009年第2期206-210,共5页
In order to treat hazardous municipal solid waste incinerator's (MSWI) fly ash, a new DC arc plasma furnace was developed. Taking an arc of 100 V/1000 A DC as an example, the heat transfer characteristics of the DC... In order to treat hazardous municipal solid waste incinerator's (MSWI) fly ash, a new DC arc plasma furnace was developed. Taking an arc of 100 V/1000 A DC as an example, the heat transfer characteristics of the DC arc plasma, ablation of electrodes, heat properties of the fly ash during melting, heat transfer characteristics of the flue gas, and heat loss of the furnace were analyzed based on the energy conservation law, so as to achieve the total heat information and energy balance during plasma processing, and to provide a theoretical basis for an optimized design of the structure and to improve energy efficiency. 展开更多
关键词 dc arc thermal plasma fly ash energy balance
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Numerical simulation of the effects of protrusion on DC arc anode attachment 被引量:1
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作者 牛冲 孟显 +3 位作者 黄河激 朱涛 孙素蓉 王海兴 《Plasma Science and Technology》 SCIE EI CAS CSCD 2021年第10期49-59,共11页
The attachment of the DC arc on the anode is usually affected by surface morphology such as protrusions due to ablation or melting deformation.A three-dimensional thermodynamic and chemical non-equilibrium model is us... The attachment of the DC arc on the anode is usually affected by surface morphology such as protrusions due to ablation or melting deformation.A three-dimensional thermodynamic and chemical non-equilibrium model is used to numerically simulate the effect of artificially assumed surface protrusions on the arc anode attachment.The numerical simulation results show that the arc deflects toward the protrusions on the anode and attaches to them in a constricted mode,resulting in an increase in the temperature of the arc attachment region.The analysis shows that the presence of protrusion on the anode surface changes the electric field distribution,intensifies the degree of thermodynamic and chemical non-equilibrium in its vicinity,further influences the chemical kinetic process of the plasma around it,which is the main reason for the deflection of the arc toward the protrusions and the arc anode attachment in a constricted mode.In order to verify the numerical simulation results,verification experiments are also performed using similar size scale anode protrusion,and the results showed that the presence of protrusion can indeed cause the deflection of the arc and even cause the ablation of the protrusion. 展开更多
关键词 dc arc arc anode attachment anode protrusion chemical non-equilibrium
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Diagnosis of gas phase near the substrate surface in diamond film deposition by high-power DC arc plasma jet CVD
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作者 Zuyuan Zhou Guangchao Chen +2 位作者 Bin Li Weizhong Tang Fanxiu Lv 《Journal of University of Science and Technology Beijing》 CSCD 2007年第4期365-368,共4页
Optical emission spectroscopy (OES) was used to study the gas phase composition near the substrate surface during diamond deposition by high-power DC arc plasma jet chemical vapor deposition (CVD). C2 radical was ... Optical emission spectroscopy (OES) was used to study the gas phase composition near the substrate surface during diamond deposition by high-power DC arc plasma jet chemical vapor deposition (CVD). C2 radical was determined as the main carbon radical in this plasma atmosphere. The deposition parameters, such as substrate temperature, anode-substrate distance, methane concentration, and gas flow rate, were inspected to find out the influence on the gas phase. A strong dependence of the concentrations and distribution of radicals on substrate temperature was confirmed by the design of experiments (DOE). An explanation for this dependence could be that radicals near the substrate surface may have additional ionization or dissociation and also have recombination, or are consumed on the substrate surface where chemical reactions occur. 展开更多
关键词 gas phase diamond film optical emission spectroscopy substrate surface high power dc arc plasma jet chemical vapor deposition
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STUDY ON THE EXCITATION BEHAVIOUR OF RARE EARTH ELEMENTS IN DC ARC BY AXIAL-INTRODUCTION OF AEROSOL
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作者 游新国 江祖成 曾云鹗 《Journal of Rare Earths》 SCIE EI CAS CSCD 1990年第2期133-138,共6页
In order to eliminate influence of the carriers on the evaporation of rare earth elements in DC arc,a de- vice which introduces axially the sample aerosol has been designed to study the effects of controlled-atmos- ph... In order to eliminate influence of the carriers on the evaporation of rare earth elements in DC arc,a de- vice which introduces axially the sample aerosol has been designed to study the effects of controlled-atmos- phere,discharge current,electrode polarity and introduction direction of aerosol on the emission of rare earth elements in DC arc discharge.The influence of various matrices and carriers on the line density and excitation condition of rare earth elements have also been studied,then the related excitation mechnism is proposed. 展开更多
关键词 line KCI STUDY ON THE EXCITATION BEHAVIOUR OF RARE EARTH ELEMENTS IN dc arc BY AXIAL-INTRODUCTION OF AEROSOL dc
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Arc deflection model and arc direction control for DC arc furnace
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作者 LipingWei HuangZhou +1 位作者 HuadeLi YuanhangZhou 《Journal of University of Science and Technology Beijing》 CSCD 2004年第4期378-382,共5页
Based on the analysis of three-dimensional power conductor for DC arcfurnace, the electric arc deflection model was set up and the control system of the arc directionwas configured. According to the bus bar distributi... Based on the analysis of three-dimensional power conductor for DC arcfurnace, the electric arc deflection model was set up and the control system of the arc directionwas configured. According to the bus bar distribution at the bottom electrodes cooled by water, thearc direction control principle and its configuration were described. The simulation results showthat the control system can restrain the electric arc deflection and control the arc direction. 展开更多
关键词 dc arc furnace electric arc deflection model arc direction control
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Effects of deposition parameters on microstructure and thermal conductivity of diamond films deposited by DC arc plasma jet chemical vapor deposition 被引量:2
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作者 瞿全炎 邱万奇 +3 位作者 曾德长 刘仲武 代明江 周克崧 《中国有色金属学会会刊:英文版》 EI CSCD 2009年第1期131-137,共7页
The uniform diamond films with 60 mm in diameter were deposited by improved DC arc plasma jet chemical vapor deposition technique. The structure of the film was characterized by scanning electronic microcopy(SEM) and ... The uniform diamond films with 60 mm in diameter were deposited by improved DC arc plasma jet chemical vapor deposition technique. The structure of the film was characterized by scanning electronic microcopy(SEM) and laser Raman spectrometry. The thermal conductivity was measured by a photo thermal deflection technique. The effects of main deposition parameters on microstructure and thermal conductivity of the films were investigated. The results show that high thermal conductivity, 10.0 W/(K·cm), can be obtained at a CH4 concentration of 1.5% (volume fraction) and the substrate temperatures of 880-920 ℃ due to the high density and high purity of the film. A low pressure difference between nozzle and vacuum chamber is also beneficial to the high thermal conductivity. 展开更多
关键词 金刚石膜 性能 等离子喷射 稳定性
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Preparation of Carbon Encapsulated Iron Nanoparticles with Very Thin Shells by DC Arc Discharge
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作者 崔屾 张丽爽 +5 位作者 崔兰 张帆 林奎 靳凤民 李玲 Sayyar Ali Shah 《Transactions of Tianjin University》 EI CAS 2015年第1期11-18,共8页
Carbon encapsulated iron nanoparticles(CEINPs) with very thin shells and good core-shell structures were prepared by DC arc discharge at argon intake temperature(AIT) of 800 ℃. The results of high resolution transmis... Carbon encapsulated iron nanoparticles(CEINPs) with very thin shells and good core-shell structures were prepared by DC arc discharge at argon intake temperature(AIT) of 800 ℃. The results of high resolution transmission electron microscope(HRTEM), energy dispersive X-ray(EDX) spectroscope, X-ray diffraction(XRD), and X-ray photoelectron spectroscope(XPS) characterizations on the product B show that the thickness of the carbon shells of CEINPs in the product B is in the range of ca. 0.5—5.3 nm, i. e., which can be as thin as only two layers of graphite. The average diameter of the CEINPs is about 24. 7 nm. The total content of Fe element in the product B is 77.0 wt%. The saturation magnetization(Ms) and coercivity(Hc) of the product B are 107.4 emu/g and 143 Oe, respectively. The formation of the CEINPs in the product B is discussed briefly. 展开更多
关键词 铁纳米粒子 电弧放电 碳包覆 直流 薄壳 X射线光电子能谱 高分辨透射电子显微镜 制备
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OES study of the gas phase during diamond films deposition in high power DC arc plasma jet CVD system 被引量:2
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作者 周祖源 陈广超 +1 位作者 唐伟忠 吕反修 《Chinese Physics B》 SCIE EI CAS CSCD 2006年第5期980-984,共5页
This paper used optical emission spectroscopy (OES) to study the gas phase in high power DC arc plasma jet chemical vapour deposition (CVD) during diamond films growth processes. The results show that all the depo... This paper used optical emission spectroscopy (OES) to study the gas phase in high power DC arc plasma jet chemical vapour deposition (CVD) during diamond films growth processes. The results show that all the deposition parameters (methane concentration, substrate temperature, gas flow rate and ratio of H2/Ar) could strongly influence the gas phase. C2 is found to be the most sensitive radical to deposition parameters among the radicals in gas phase. Spatially resolved OES implies that a relative high concentration of atomic H exists near the substrate surface, which is beneficial for diamond film growth. The relatively high concentrations of C2 and CH are correlated with high deposition rate of diamond. In our high deposition rate system, C2 is presumed to be the main growth radical, and CH is also believed to contribute the diamond deposition. 展开更多
关键词 gas phase OES diamond film high power dc arc plasma jet CVD
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Integrated purification of gadolinium and preparation of Gd2O_(3) nanoparticles by DC arc plasma 被引量:1
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作者 Zhenggang Tang Minjie Hou +5 位作者 Xin He Kai Ye Da Zhang Zhipeng Xie Yongnian Dai Feng Liang 《Journal of Rare Earths》 SCIE EI CAS CSCD 2021年第12期1574-1578,I0005,共6页
The rare-earth metal Gd plays an important role in the energy,information,and national defence fields due to its special optical,electrical,magnetic,and catalytic properties.In this study,Gd was purified by direct cur... The rare-earth metal Gd plays an important role in the energy,information,and national defence fields due to its special optical,electrical,magnetic,and catalytic properties.In this study,Gd was purified by direct current(DC)arc plasma,and Gd2O_(3) nanoparticles were prepared via an integration method using purified Gd.The effects of arc current,melting time,gas pressure,and atmosphere on the purification of Gd by DC arc plasma were investigated.With an increase in the arc current and melting time,the rate of removal of impurities from Gd enhances.Moreover,Gd melting was conducted by H_(2)-Ar arc plasma,which improves the impurity removal rate by increasing the H_(2) content.High thermal conductivity and chemical activity of the activated H atoms generated by the dissociation of H_(2) are the main reasons for the significant improvement in the impurity removal rate.The mechanism of Gd purification was analysed based on the above-mentioned experimental results.The as-synthesised Gd2 O_(3) nanoparticles have a uniform spherical structure(average diameter of 32.7 nm),appropriate dispersibility,and high purity.This study provides a new strategy for the integrated purification of metals and preparation of metal/metal-based nanomaterials by DC arc plasma. 展开更多
关键词 GD dc arc plasma PURIFICATION PREPARATION NANOMATERIAL Integration
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Diagnosis of Electron,Vibrational and Rotational Temperatures in an Ar/N2 Shock Plasma Jet Produced by a Low Pressure DC Cascade Arc Discharge
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作者 李聪 张家良 +3 位作者 姚志 吴兴伟 张辰飞 丁洪斌 《Plasma Science and Technology》 SCIE EI CAS CSCD 2013年第9期875-880,共6页
In this paper, a low pressure Ar/N2 shock plasma jet with clearly multicycle al- ternating zones produced by a DC cascade arc discharge has been investigated by an emission spectral method combined with Abel inversion... In this paper, a low pressure Ar/N2 shock plasma jet with clearly multicycle al- ternating zones produced by a DC cascade arc discharge has been investigated by an emission spectral method combined with Abel inversion analysis. Plasma emission intensity, electron, vi- brational and rotational temperatures of the shock plasma have been measured in the expansion and compression zones. The results indicate that the ranges of the measured electron temperature, vibrational temperature and rotational temperature are 1.1 eV to 1.6 eV, 0.2 eV to 0.7 eV and 0.19 eV to 0.22 eV, respectively, and it is found for the first time that the vibrational and rota- tional temperatures increase while the electron temperature decreases in the compression zones. The electron temperature departs from the vibrational and the rotational temperatures due to non-equilibrium plasma effects. Electrons and heavy particles could not completely exchange energy via collisions in the shock plasma jet under the low pressure of 620 Pa or so. 展开更多
关键词 dc arc torch plasma jet shock wave electron temperature vibrational tem-perature rotational temperature emission spectral diagnosis
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Atmospheric pressure pulsed modulated arc discharge plasma
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作者 李寄 唐井峰 +4 位作者 张浩然 王璐 纪添源 于达仁 朱悉铭 《Plasma Science and Technology》 SCIE EI CAS CSCD 2023年第12期57-62,共6页
Direct-current(DC)arc plasma has great application values in the field of the chemical industry,but it has the problem of low energy efficiency.Facing the requirement for improving the energy efficiency of the arc,thi... Direct-current(DC)arc plasma has great application values in the field of the chemical industry,but it has the problem of low energy efficiency.Facing the requirement for improving the energy efficiency of the arc,this paper proposes a unique method of pulsed modulated arc(PMA).This method uses high-frequency pulses and reduces the arc current to improve the control of electron temperature.The electrical characteristics,optical characteristics and products are tested.The test results show that during the PMA process,all of the experimental results which include voltage,current and light will significantly increase.These results are analyzed from the perspective of functionality,repeatability and energy conversion.The analysis results show that although the PMA method does not show good parameter consistency,it has potential application prospects because it increases the energy conversion rate by 4.5%and 8%from the perspective of light and products,respectively. 展开更多
关键词 experimental research atmospheric pressure plasma dc arc PMA
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Fluid Flow Modeling of Arc Plasma and Bath Circulation in DC Electric Arc Furnace 被引量:5
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作者 WANG Feng-hua JIN Zhi-jian ZHU Zi-shu 《Journal of Iron and Steel Research(International)》 SCIE EI CAS CSCD 2006年第5期7-13,共7页
A mathematical model describing the flow field, heat transfer and the electromagnetic phenomenon in a DC electric arc furnace has been developed. First the governing equations in the arc plasma region are solved and t... A mathematical model describing the flow field, heat transfer and the electromagnetic phenomenon in a DC electric arc furnace has been developed. First the governing equations in the arc plasma region are solved and the calculated results of heat transfer, current density and shear stresses on the anode surface are used as boundary conditions in a model of molten bath. Then a two-dimensional time-dependent model is used to describe the flow field and electromagnetic phenomenon in the molten bath. Moreover, the effect of bottom electrode diameter on the circulation of molten bath is studied. 展开更多
关键词 dc electric arc furnace fluid flow heat transfer molten bath
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Study on the Detection Methods of DC Series Arc Fault 被引量:3
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作者 JI Shengchang LIU Yuan ZHU Yeye ZHU Lingyu 《高电压技术》 EI CAS CSCD 北大核心 2013年第9期2131-2137,共7页
It is difficult to detect and extinguish direct current(DC)arc in power electronics systems,and the arc could easily lead to a fire and cause great damage to surrounding equipment.A DC arc generation simulation unit i... It is difficult to detect and extinguish direct current(DC)arc in power electronics systems,and the arc could easily lead to a fire and cause great damage to surrounding equipment.A DC arc generation simulation unit is established,in which DC series arcs are generated by dragging the moving electrode away from the fixed one with the help of the stepper motor.In addition,a ferrite rod antenna is used to receive the electromagnetic radiation signals induced by the arcs.Based on experiments using the unit,the general characteristics of DC arc,including the pulse characteristics of arc current and source output in corresponding time window,and the frequency-domain characteristics of arc current,are studied.With discussion on three detection methods,it is concluded that the variation of current and voltage of arc,the spectrum of the arc current during the discontinuous intervals and the radiating electromagnetic signal are all features that can be adopted for detecting DC series arc.Therefore,a synthetic judgment method is suggested for further study. 展开更多
关键词 故障检测方法 直流电弧 dc 电磁辐射信号 电力电子系统 电弧电流 模拟单元 脉冲特性
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3D Numerical Analysis of the Arc Plasma Behavior in a Submerged DC Electric Arc Furnace for the Production of Fused MgO 被引量:2
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作者 王振 王宁会 +1 位作者 李铁 曹勇 《Plasma Science and Technology》 SCIE EI CAS CSCD 2012年第4期321-326,共6页
A three dimensional steady-state magnetohydrodynamic model is developed for the arc plasma in a DC submerged electric arc furnace for the production of fused MgO. The arc is generated in a small semi-enclosed space fo... A three dimensional steady-state magnetohydrodynamic model is developed for the arc plasma in a DC submerged electric arc furnace for the production of fused MgO. The arc is generated in a small semi-enclosed space formed by the graphite electrode, the molten bath and unmelted raw materials. The model is first used to solve a similar problem in a steel making furnace, and the calculated results are found to be in good agreement with the published measurements. The behavior of arcs with different arc lengths is also studied in the furnace for MgO production. From the distribution of the arc pressure on the bath surface it is shown that the arc plasma impingement is large enough to cause a crater-like depression on the surface of the MgO bath. The circulation of the high temperature air under the electrode may enhance the arc efficiency, especially for a shorter arc. 展开更多
关键词 numerical simulation dc electric arc furnace arc plasma temperature field flow field
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Synthesis of High Quality Diamond Film by DC Arc Discharge Plasma Chemical Vapor Deposition 被引量:1
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作者 傅慧芳 刘顺生 +1 位作者 颜恩涛 陈素纯 《Chinese Science Bulletin》 SCIE EI CAS 1994年第3期236-239,共4页
Diamond film is one of the special function materials in high technological area.There is an intense competition in the preparing methods and applications of dia-mond film. The successful synthesis of diamond film ope... Diamond film is one of the special function materials in high technological area.There is an intense competition in the preparing methods and applications of dia-mond film. The successful synthesis of diamond film opens vast vistas for theapplication of diamond’s unique properties such as high thermal conductivity, highelectrical resistance, good optical transmission, extreme hardness and so on. So far, 展开更多
关键词 DIAMOND FILM dc arc DISCHARGE CVD.
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Mathematical model on heat transfer of water-cooling steel-stick bottom electrode of DC electric arc furnace 被引量:1
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作者 HaiXu XiaoLiu 《Journal of University of Science and Technology Beijing》 CSCD 2002年第5期338-342,共5页
For predicting and controlling the melted depth of bottomelectrode during the process of steelmaking, the water-cooling steel-stick electrode is taken as an example, to analyze the process ofheat transfer, then 3D mat... For predicting and controlling the melted depth of bottomelectrode during the process of steelmaking, the water-cooling steel-stick electrode is taken as an example, to analyze the process ofheat transfer, then 3D mathematical model by control capacity methodis built. At the same time, the measurement on the melted depth ofbottom electrode is conducted which verified the correctness of thebuilt mathematical model. On the base of verification, all kinds ofkey parameters are calculated through the application and a series ofresults are simulated. Finally, the optimum parameters are found andthe service life of bottom electrode is prolonged. 展开更多
关键词 dc electric arc furnace water-cooling steel-stick electrode MATHEMATICALMODEL heat transfer
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