ArticlePublisher preview available

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

IOP Publishing
Journal of Physics D: Applied Physics
Authors:
To read the full-text of this research, you can request a copy directly from the authors.

Abstract and Figures

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.
This content is subject to copyright. Terms and conditions apply.
Journal of Physics D: Applied Physics
J. Phys. D: Appl. Phys. 58 (2025) 175202 (11pp) https://doi.org/10.1088/1361-6463/adbfa5
A new simulation method for cathode
spot crater formation and development
in vacuum arc with CuCr nanocrystalline
alloy electrode
Lijun Wang, Cong Wang, Xinyi Liu, Runming Zhang and Yiduo Xie
State Key Laboratory of Electrical Insulation and Power Equipment, Xi’an Jiaotong University, Xi’an
710049, People’s Republic of China
E-mail: lijunwang@mail.xjtu.edu.cn
Received 18 November 2024, revised 8 March 2025
Accepted for publication 12 March 2025
Published 20 March 2025
Abstract
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, ow, 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 inuence 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 uidity of liquid metal is reduced during erosion. Finally, the simulation results have been
compared with experimental results of other researchers.
Keywords: CuCr nanocrystalline alloy, cathode spot crater, vacuum arc, liquid metal, simulation
1. Introduction
Copper-chromium (CuCr) alloy is widely used as contact
material in vacuum circuit breakers [1,2]. Cr metal has high
melting and boiling points, and exhibits excellent erosion
resistance. Cu metal has good electrical conductivity, but
its erosion resistance is relatively poor due to its low melt-
ing point. CuCr alloy combines the advantages of these two
elements. While ensuring good conductivity, it signicantly
Author to whom any correspondence should be addressed.
improves the material’s erosion resistance. Therefore, CuCr
alloy has been widely used in vacuum circuit breakers and has
become an ideal contact material.
In order to evaluate the anti-erosion performance of CuCr
contact materials and better understand the erosion process
and behavior of CuCr alloy in vacuum, researchers have been
committed to characterizing the morphology and state of the
contact after erosion. Feng et al [3] observed the morpho-
logy of cathode spot crater of nanocrystalline and microcrys-
talline CuCr25 alloy by scanning electron microscope (SEM).
Zhang et al [4] examined the microstructure of CuCr50 alloy
1
© 2025 IOP Publishing Ltd. All rights, including for text and
data mining, AI training, and similar technologies, are reserved.
ResearchGate has not been able to resolve any citations for this publication.
Article
Full-text available
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.
Article
Full-text available
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.
Article
Full-text available
A 3D transient model of a cathode-spot crater and droplet formation in a vacuum arc is developed. The model includes mass, momentum, heat transfer (energy), current continuity and potential equations. Using the energy flux density, current density and pressure as external parameters, the shape of the cathode-spot crater and the temperature, velocity, potential and current density distributions at each time step are determined via numerical simulation. Under symmetrical conditions, the 3D simulation results are highly consistent with those from the previous 2D model. The new cathode spot tends to appear in the direction in which the protrusion is largest because the liquid-metal velocity is lower and the liquid-metal ridge radius is larger in this direction. The effect of the external transverse magnetic field is considered by using a symmetric space function to represent the pressure and energy flux density of the plasma cloud. Simulation results show that even small changes in the plasma cloud distribution have a significant impact on the cathode-spot crater process and droplet formation. Since the pressure is asymmetric, the crater becomes asymmetric and the new cathode spot tends to appear opposite to the direction of the Ampere force. Based on this phenomenon, a possible explanation for the retrograde motion phenomenon of cathode spots is proposed.
Article
Full-text available
Copper–chromium composite electrodes are widely used in high-current vacuum interrupters. Current interruption may trigger a vacuum arc between such electrodes. The operational dynamics of interrupters is determined by the vacuum arc parameters. We have employed a time-of-flight spectrometer to study the mass-to-charge composition of plasma ions in the arc discharge with Cu–Cr electrodes at a current density of 1 kA cm⁻² as is typical for the arc in interrupters. We find that the average charge states of copper and chromium ions depend on their fractional content in the cathode material. With the percentage of chromium ions increasing from 0% to 50%, the average charge state of chromium ions 〈Q〉Cr increases from 1.98 to 2.13, while that of copper ions 〈Q〉Cu decreases from 2.15 to 1.95. We observe a decrease in the average charge states of both copper and chromium ions over the duration of the arc pulse. The results of our investigations of arc plasma composition may be useful for analysis of mass and charge transport in interrupters.
Article
Full-text available
An improved two-dimensional axisymmetric swirl model based on former work has been developed to describe the detailed physical process in the formation and development of vacuum arc cathode spot. In the current model, the influence of plasma cloud, evaporation, backing ion, thermo-field (T-F) emission, back-diffused electron, self-generated magnetic field and Lorentz force are all considered. External parameters include electron temperature, near cathode voltage drop, average charge number, ion number density, space function and time function. The compositions of current density, energy flux density and external pressure are discussed and the influence of external parameters are studied. Simulation results show that electron current density from T-F emission is the most important component for current density; as for energy flux density and pressure, ion flux from plasma cloud is dominant. Ablation on a refractory metal is much less than that on a fusible metal under the same external conditions. The simulation results are in good agreement with other researchers' results.
Article
Vacuum interrupters are important components to ensure the safety of medium and high-voltage power transmission, and contact material is an important factor affecting the performance of vacuum interrupters. CuCr contact materials have been used in most commercial vacuum interrupters. This paper summarizes the research status of the electrical properties of CuCr contacts used in vacuum interrupters, analyses the factors influencing the electrical properties of CuCr contacts, and summarizes the relevant mechanisms, which point out the direction for improving the properties of CuCr alloys and promotes the development of subsequent research on the electrical properties of CuCr contacts. Finally, the electrical properties of CuCr contacts prepared by self-propagating metallurgy based on the Al–CuO–Cr2O3 reaction system are summarized.
Article
In this paper, a numerical simulation on the interaction between the double cathode spot craters in the vacuum arc is carried out. By establishing a double-cathode spot ablation model, the crater development process when two spots coexist is simulated, and the formation mechanism of cathode spot groups is analyzed. The simulation results show that the two cathode spots appearing on the flat electrode would squeeze each other to form a liquid metal ridge, which changed the ablation morphology of the cathode spots. When the double-spot arc craters appear simultaneously, the metal ridge will be squeezed into a straight line, otherwise, when the spots appear one after another, the liquid metal ridge will shift toward the side of the spot that appears first. The relative experimental results are adopted to compare with the simulation results. By comparison, it is found that the morphology of the multi-spot crater in the experiment is in agreement with the simulation results.
Article
Grain refinement and homogenization of Cr phase were achieved by laser surface melting (LSM) method, and the properties of Cu-Cr alloy were significantly improved. In this study, LSM of Cu-50Cr alloy (wt.%) was conducted with a high power density (10⁶–10⁷ W/cm²) laser beam, the microstructure and the properties of melt layer were investigated. The size of Cr phase was effectively refined from hundreds of micron scale to several micron scale, and the average size of Cr particles decreased to a few hundred nanometers. High cooling rate effectively inhibited coarsening effect on the Cr particles during liquid phase separation. Spherical Cr particles were dispersed in the melt layer with a thickness of 165 ± 20 μm. Microhardness was obviously enhanced and the maximum hardness was 232HV, which was 2.8 times that of the substrate. Arc duration of the LSM treated contacts increased up to 18%. The withstanding voltage of the fixed and the moving contact increased to 28.7% and 35.4%, respectively. The results show that LSM is an effective method to refine the microstructure of Cu-Cr alloy, and it is a promising modification method for electrical Cu-Cr vacuum contacts.