Runming Zhang’s research while affiliated with Xi’an Jiaotong-Liverpool University and other places

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Publications (22)


Schematic diagram of the cathode spot in metal deuteride cathodes incorporating various thermo-field emission models and Nottingham effect.
Temperature and density distribution over time (a) excluding the Nottingham effect and (b) including the Nottingham effect using the HTEFM.
The size and volume of the cathode spot crater over time using the HTEFM.
Different ion energy flux density development over time.
Different electron energy density development over time.

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Thermo-field emission functions and Nottingham effect on cathode spot development in metal deuteride cathodes under vacuum arc conditions
  • Article
  • Publisher preview available

April 2025

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33 Reads

Runming Zhang

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Lijun Wang

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Xinyi Liu

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Recent advancements in vacuum arc technology have heightened interest in the evolutionary behavior of cathode spots, particularly in metal deuteride cathodes, due to their critical role in influencing device performance and longevity. Extensive research has elucidated various aspects of cathode spot erosion. A novel two-dimensional (2D) axisymmetric swirl model is established to study the impact of different thermo-field emission functions and Nottingham effect on the formation and evolution of cathode spots in metal deuteride cathodes under vacuum arc conditions. Deuterium diffusion equation, Nottingham effect, and two distinct thermo-field emission functions are incorporated in this model. Current simulation results reveal that the Nottingham effect initially acts as a heating mechanism within the first 2 ns before transitioning to a cooling mechanism. Notably, the maximum temperature predicted by the comprehensive electron emission model, proposed by Jensen, consistently surpasses that of the high-intensity thermo-field emission model, developed by Hantzsche. Consideration of the Nottingham effect also reduces the potential on the cathode spot crater surface and increases the velocity of the liquid metal. Additionally, the deuterium desorption rate and total deuterium desorption are strongly temperature-dependent.

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A new simulation method for cathode spot crater formation and development in vacuum arc with CuCr nanocrystalline alloy electrode

In order to further understand the formation and development process of cathode spot crater on copper-chromium (CuCr) nanocrystalline alloy electrode in vacuum arc, a new simulation method considering the distribution of different components is proposed. And a two-dimensional axisymmetric model is established to study the effects of different components on the formation and development of cathode spot crater. The differences in physical properties are considered in the model, and the interface between the Cu component and the Cr component is effectively tracked. The distribution, flow, and heat transfer of the Cu and Cr components are simulated. To directly demonstrate the advantages of the method, the simulation results are compared with those adopting the method that linearly combines the physical property parameters according to the weight percentage of components. Simulation result shows that the presence of Cr components has an important influence on the formation and development of cathode spot crater on CuCr nanocrystalline alloy electrode. The effects of different weight percentages of Cr components on the formation and development of cathode spot crater on CuCr nanocrystalline alloys are also studied. The results indicate that with the improvement of Cr component weight percentages, the temperature on the cathode spot crater is increased, and the fluidity of liquid metal is reduced during erosion. Finally, the simulation results have been compared with experimental results of other researchers.


Numerical simulation of cathode-spot crater and droplet formation with linear and circular motion process

November 2024

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13 Reads

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2 Citations

In this paper, a three-dimensional cathode spot erosion model is proposed to study the development of cathode spot motion process on the surface of copper cathode. The formation and development process of cathode spots motion without external magnetic field is studied. In this model, energy flux density, pressure, and current value are considered as external parameters. The simulation results compared the cathode spot ablation trajectories and temperature distribution under different motion forms and motion velocities. The results indicated that during the spots expansion process, the flow of liquid metal will form a convex structure on the surface of the cathode and a hollow structure inside the cathode. Comparing different motion types, the annular motion significantly increased the roughness of the cathode surface. With the increase of the speed of spots movement, the interaction between the craters is significantly weakened, which will reduce the temperature and the roughness of the cathode surface. The simulation results are consistent with the experimental results.


Three-Dimensional Asymmetric Model and Simulation of Double Cathode Spots Crater With Different Kinds of Protrusions in Vacuum Arc

September 2024

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3 Reads

IEEE Transactions on Plasma Science

A 3-D asymmetric model has been proposed to study the formation and development of copper cathode spots on different shapes of protrusions and the interaction with a nearby spot in a vacuum arc. In addition to comparing protrusions of different shapes, the effect of the distance between two spot craters is also considered. The article compared the morphology and temperature of the erosion process of the spots with spherical protrusions, two different ellipsoidal protrusions, and the case of no protrusions as a comparison. Through the simulation calculation, it is found that there will be an obvious liquid metal ridge at the intersection of the two spots no matter what kind of shapes of protrusions when the two cathode spot craters are not very close. The maximum surface temperature of the cathode always appears at the junction of the two spots. For the protrusion with a certain volume and distance, the temperature rise of the cathode is higher when its height is higher. When the shape of the protrusion remains unchanged, the closer distance between the two spots causes the temperature to rise more. The temperature rise caused by the distance factor is more obvious than the shape factor.


Research Progress of Modeling and Simulation of Vacuum Arcs Considering Multicomponents With Different Anode Modes

September 2024

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31 Reads

IEEE Transactions on Plasma Science

Vacuum arc widely appears in vacuum interrupters, ion sources, thrusters, and other related application fields. Understanding the components’ characteristics in vacuum arc is very important for the above application fields. At present, modeling and numerical simulation technology is becoming more and more important for the study of vacuum arc mechanisms. In this article, multicomponent magnetohydrodynamic (MHD) models of vacuum arc with passive and active anode modes will be reviewed, and the commercial alloy electrode materials in vacuum interrupters will be considered. The influence of the spatial magnetic field generated by commercial electrodes on the arc was studied. Furthermore, transient plasma characteristics and component evolution processes of vacuum arcs with different situations (fixed gap distance and electrode movement) in vacuum interrupters are reviewed. Vacuum arc plasma jet characteristics with a ring anode under different external magnetic fields will also be introduced, and the separation mechanisms of light and heavy ions in vacuum arcs will also be studied. Finally, the challenge of vacuum arc modeling in the future is also discussed.


Two-Dimensional Particle-in-Cell/Monte Carlo Collisional Simulation of the Post-Arc Breakdown in Vacuum Circuit Breakers

August 2024

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10 Reads

IEEE Transactions on Plasma Science

Vacuum circuit breakers are widely used in medium-voltage power systems, and the post-arc breakdown is a key factor limiting performance of the vacuum circuit breakers. In this work, a 2-D particle-in-cell/Monte Carlo collisional model is developed to investigate the post-arc breakdown. The residual plasma, metal vapor, inhomogeneous temperature distribution and electron emission on the post-arc cathode surface and various collisions between charged particles, and metal vapor are taken into consideration in the model. Simulation results show that the post-arc breakdown initiates in the vicinity of the post-arc cathode center. At the moment when the post-arc breakdown occurs, a potential hump forms near the post-arc cathode center, and the plasma density increases by two orders, which are consistent with the published result obtained by 1-D hybrid simulation model. Simulation results on the effect of metal vapor density show that the post-arc breakdown occurs earlier with increasing metal vapor density, and the post-arc breakdown cannot occur when the metal vapor density is below 10 20^{\text{20}} m ^{\text{ - 3}} .


Experimental Study on Arc Breaking Characteristics of DC Contactor With Different Media

September 2023

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39 Reads

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2 Citations

IEEE Transactions on Components, Packaging, and Manufacturing Technology

As one of the key components of new energy vehicles, DC contactors have received extensive attention. Based on the DC contactor arc breaking experimental platform, the DC breaking experiments in hydrogen, nitrogen, air and argon gas at different current levels are carried out respectively. The experimental results show that the arc-extinguishing performance in hydrogen is the best, and that in argon gas is the worst. It is found that the arc moves the fastest between the contacts when the hydrogen-nitrogen mixing ratio is 3:2. Breaking experiments are carried out in hydrogen and argon medium at 1-3 atmospheres. The experimental results show that although the high-pressure environment helps to shorten the arcing time, it will make the arc burning more concentrated, which is not conducive to the arc heat dissipation. Concerning the effect of magnetic field strength on the arcing characteristics of air arcs, the experimental results show that stronger the transverse magnetic field is, faster the arc moves, and smaller the arcing energy is. The influence of the reverse magnetic field on the motion of the gas arc is studied, and it is found that the arc in the nitrogen environment is more susceptible to the reverse magnetic field than in the hydrogen environment. The experimental results show that the retrograde motion of the vacuum arc cathode spots is more obvious under the condition of low current and strong transverse magnetic field.




Simulation of cathode spots crater formation on electrodes with micro-scale and nano-scale alloy materials in a vacuum arc

June 2023

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94 Reads

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3 Citations

In the field of vacuum interrupting, an important research is to improve the erosion resistance properties of contacts. In this paper, a two-dimensional axisymmetric swirl model based on basic parameters has been proposed to describe the formation and development of cathode spots of micro-scale alloy and nano-scale alloy electrode in a vacuum arc. In this model, the peak ion density of the plasma cloud, the mean charge state in near-cathode region, the electron temperature, and the near-cathode voltage drop are adopted as external parameters. Ions and electrons originating from the plasma cloud, thermo-field (T-F) emission, vaporization of metal atoms, backing ions and back-diffused electrons are all taken into consideration. The morphology and temperature of cathode spots crater and the liquid metal velocity of pure copper electrode (Cu), copper-chromium (Cu-Cr) electrode and tungsten-copper (W-Cu) electrode under the conditions of micro-scale grains and nano-scale grains are compared, respectively. Simulation results show that the cathode spot crater of the Cu-Cr electrode is smaller than that of the pure copper electrode. Moreover, it can hold more current and inhibit the formation of new cathode spots nearby. Cathode spots appearing on tungsten grains are smaller in size and have a lower probability of forming liquid metal droplets than Cu-Cr electrodes. Contacts made of nano-scale grain alloys have stronger erosion resistance properties than that of micro-scale alloy contacts and can reduce the maximum temperature of the cathode. The simulation results are in good agreement with other researchers’ results.


Citations (14)


... Similar to above researchers, this paper simulates cathode spots in metal deuteride cathodes, focusing on the formation process of a single cathode spot crater under different conditions, rather than the movement and diffusion of spots on the cathode surface, although the latter is also a significant research direction for cathode spots. 16 Zhang et al. 17 and Askari and Minoo 18 have demonstrated through calculations that the electron emission process is crucial in the analysis of cathode spots. The study of electron emission spans a long history, encompassing various mechanisms and theoretical models. ...

Reference:

Thermo-field emission functions and Nottingham effect on cathode spot development in metal deuteride cathodes under vacuum arc conditions
Numerical simulation of cathode-spot crater and droplet formation with linear and circular motion process

... These findings provide theoretical support for understanding contact erosion and selecting arc-extinguishing media. Building on this, Wang et al. 19 conducted arc interruption experiments on DC contactors using different media, including hydrogen, nitrogen, air, and argon. Liu et al. 20 investigated the arc characteristics in high-voltage DC relays under different gas types and pressures and validated the model's accuracy through highspeed imaging experiments. ...

Experimental Study on Arc Breaking Characteristics of DC Contactor With Different Media
  • Citing Article
  • September 2023

IEEE Transactions on Components, Packaging, and Manufacturing Technology

... The generation and dissipation of cathodic spots directly affect the evolution and dynamic characteristics of the arc, and the study of cathodic spots is crucial to the understanding of the cathodic phenomenon of vacuum arc and even the mechanism of vacuum arc 3 . Wang Lijun et al. modeled the arc pit formation process of a single cathode spot on a hydrogen storage titanium electrode, describing the formation and development of cathode spots [15][16][17] ; Li Jiagang et al. simulated the development of ablation pits in the case of the coexistence of two cathode spots, and analyzed the mechanism of cathode spot group formation 18 ; Literature 19 established a calculation model for the magnetic field of a contact that takes into account the relationship of the cathode spot and the coupling of the magnetic field, and based on the distribution of cathode spots The magnetic field of the contact gap control arc is calculated, ssand the cathode spot motion is propelled by the magnetic field. The results of literature 20 show that arc motion is not the cause of high-frequency arc voltage noise, but the arc voltage generates high-frequency noise when the cathode speck occupies the entire cathode surface. ...

Simulation of cathode spots crater formation on electrodes with micro-scale and nano-scale alloy materials in a vacuum arc

... In contrast to previous models, Barengolts et al. 14 incorporated the Navier-Stokes equation and proposed a new flux boundary condition for the deuterium diffusion equation, moving away from the zero boundary condition. Finally, Wang et al. 15 applied these flux boundary conditions to assess cathode-spot crater formation and the deuterium desorption process in deuterium titanium cathodes with varying degrees of impregnation. Similar to above researchers, this paper simulates cathode spots in metal deuteride cathodes, focusing on the formation process of a single cathode spot crater under different conditions, rather than the movement and diffusion of spots on the cathode surface, although the latter is also a significant research direction for cathode spots. ...

Numerical simulation of cathode-spot crater formation and deuterium desorption process on hydrogen titanium cathode with flux boundary conditions and different impregnation degree

... The ionization rate of He/CF 4 APPJ is enhanced and the density of RFS increases with a small amount of CF 4 , and the electronegativity of excess CF 4 and O 2 will accelerate the quenching of APPJ. 31,32 Therefore, the content of CF 4 is fixed at 0.5%, and the content of O 2 is controlled within 1% in this paper. Two copper foils with a width of 5 mm are wrapped around the upstream and downstream of the quartz tube as the high voltage electrode and the grounding electrode, respectively. ...

Effect of small amount of CF 4 addition on He and Ar atmospheric pressure plasma jet and influence of relative permittivity of downstream material on plasma–surface interaction
  • Citing Article
  • August 2022

... In our previous work, the influence of the opening speed on the anode mode on butt contacts has been investigated, revealing that the opening speed plays a crucial role in the vacuum arc. 20 Therefore, the objective of this paper is to investigate the vacuum arc characteristics of the TMF contacts at different opening speeds. Experiments are carried out on the spiral-type TMF contacts made of CuCr30. ...

Investigation on anode modes of vacuum arc under different contact opening speeds
  • Citing Article
  • August 2022

... According to the different properties of the downstream dielectric, the numerical simulation of the APPJ can be divided into three main topics: free expanding jet, APPJ interacting with a normal surface, and APPJ interacting with a tilted surface. In the past few decades, researchers have studied the development mechanism of plasma, 25,29,30 the influence of external parameters on jet characteristics, 31-34 plasma jet array, 28,35 how to increase the density of reactive species in the jet, [36][37][38] and so on. The study of free expanding jets was the first to begin and is still being carried out in greater depth. ...

Numerical study of the influence of O 2 admixture on the propagation and F-containing species distribution of He/CF 4 atmospheric pressure plasma jet
  • Citing Article
  • July 2022

... An important concern in material treatment is the distribution of active substances or functional groups on the surface and the effect of APPJ evolution on their distribution. Liu et al. [26] studied the flux distribution and transformation of F-containing particles on the surface of materials under different proportions of CF 4 . Yue et al. [27] studied the different development states of jet when APPJ treated glass, water and metal plate substrate, as well as the changes in the concentration of reactants OH and O under the influence of gas flow rate and working gas ratio. ...

The distribution of F-containing species in atmospheric nanosecond He/CF 4 plasma with downstream dielectric material

... The researchers believe that the purpose of adding O 2 can be mainly divided into three aspects: making the plasma plume more uniformly distributed in space, 24,25 increasing the content of reactive oxygen species or affecting other reactive species' density, 26,27 and improving the electrical, discharge dynamics, and biochemical characteristics of the plasma. [28][29][30] As mentioned in our previous work, the addition of a small amount of O 2 is helpful to improve the continuous spectrum intensity of reactive fluorine-containing species (RFS) and the jet intensity in He/CF 4 APPJ, 31 which provides a possibility for the optimization of plasma surface fluorination modification. In this paper, He/CF 4 /O 2 APPJ is used to fluoridate EP surface. ...

Study of the Influence of Oxygen on the Hydrodynamic Behavior of Helium Atmospheric Pressure Plasma Jet by Shadowgraphy System
  • Citing Article
  • February 2022

IEEE Transactions on Plasma Science

... Sulfur hexafluoride (SF 6 ) is generally used as the insulation medium gas in different high voltage equipment and in medium and high voltage insulated lines. The gas plays a crucial role in high-voltage fault protection and insulation. ...

Numerical simulation of breakdown properties and streamer development processes in SF 6 /CO 2 mixed gas