Insulating material surface arc ablation resistance simulation method based on magnetohydrodynamics

By combining magnetohydrodynamic simulation with TGA curves, the shortcomings of existing technologies in simulating the ablation of insulating materials are addressed. This enables a complete simulation and performance evaluation of the arc ablation process, providing a basis for material selection.

CN120913726AActive Publication Date: 2025-11-07HEFEI UNIV OF TECH +1

Patent Information

Application Number
CN202511446870.6
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-10-11
Publication Date
2025-11-07
Estimated Expiration
2045-10-11

AI Technical Summary

Technical Problem

Existing technologies fail to effectively simulate the evolution of the ablation morphology of insulating materials under electric arc and its feedback effect on the dynamic characteristics of the arc, and it is difficult to predict their arc resistance life and carbonization resistance, thus failing to provide a comprehensive basis for material selection.

Method used

A simulation method based on magnetohydrodynamics for arc ablation resistance of insulating material surfaces was adopted. The arc ablation process was simulated using COMSOL finite element simulation software combined with magnetohydrodynamic equations and multiphysics modules, and the arc ablation resistance of the material was judged by combining TGA curves.

Benefits of technology

It achieves a complete simulation of insulating materials under the action of electric arc, can predict their ablation process and arc resistance performance, provides technical support for material selection, and conforms to the actual situation of power frequency AC high voltage arc.

✦ Generated by Eureka AI based on patent content.

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Abstract

The invention provides an insulating material surface arc ablation resistance simulation method based on magnetohydrodynamics, and belongs to the field of insulating material performance detection. The method comprises the following steps: establishing an insulating material surface arc ablation resistance model; constructing a magnetohydrodynamic control equation set; setting boundary conditions of the model; and iteratively solving the magnetohydrodynamic control equation set through finite element simulation software to obtain a temperature distribution diagram of the insulating material under different arc ablation times, and comparing the temperature distribution diagram with a TGA curve of the insulating material to judge the arc ablation resistance of the insulating material. According to the invention, the power-frequency alternating-current high-voltage arc and the insulating material are used as simulation objects, engineering practice is better met, the surface arc ablation resistance process of any insulating material can be simulated by changing the physical characteristic parameters of the insulating material, and the TGA curve of the material is introduced to judge the arc ablation resistance of the insulating material. And technical support is provided for high-voltage switch equipment insulating material type selection.
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Description

TECHNICAL FIELD

[0001] The application relates to the field of insulating material performance detection, and in particular to an insulating material surface arc ablation resistance simulation method based on magnetohydrodynamics. BACKGROUND

[0002] High-voltage switching equipment is the core component of the power system to realize the functions of closing, breaking, controlling and protecting, and its operation reliability is directly related to the safety and stability of the entire power grid. As a key functional component in high-voltage switches (such as circuit breakers, disconnectors, gas insulated switchgear GIS, etc.), insulating materials mainly bear important responsibilities such as mechanical support, potential isolation and insulation recovery after arc extinction. However, under conditions such as breaking fault current or operating overvoltage, high-temperature and high-energy arcs may occur between the switching contacts or to the ground. The arc and its derived high-temperature plasma flow will strongly act on the surface of the nearby insulating material, causing thermal decomposition, melting, vaporization and even carbonization of the material, resulting in irreversible ablation damage. Severe ablation can significantly reduce the insulating strength and mechanical properties of the material, possibly causing surface flashover, and ultimately leading to equipment failure and even catastrophic power outage accidents. Therefore, developing a multi-physical field coupling simulation method based on magnetohydrodynamics to accurately describe the complete chain from arc plasma behavior to insulating material ablation response is an important problem.

[0003] The document titled "Simulation Research on AC Arc under Different Electrode Distances" (Wang Ruiqi. Simulation Research on AC Arc under Different Electrode Distances [J]. Shanxi Electric Power, 2024, (04): 22-26) presents the influence of different gap distances on various physical fields of AC fault arcs. Based on the analysis of the energy conversion process of AC fault arcs, a magnetohydrodynamic model is established to analyze the terminal current, voltage, and the changes and relationships of temperature field and magnetic field when the electrode distance is 2mm. However, the temperature distribution of the insulating material after arc ablation is not reflected, and the response of the insulating material after arc ablation and the arc ablation resistance of the insulating material cannot be described.

[0004] The document titled "Numerical Simulation of DC Arc Plasma Torch Physical Fields" (Wang Zhen, Cao Wei, Li Yaojian. Numerical Simulation of DC Arc Plasma Torch Physical Fields [J]. Industrial Heating, 2023, 52(11): 17-21) conducts numerical simulation research on the temperature field, velocity field and other physical fields under given current size and working gas flow conditions. The DC arc temperature distribution under certain current size and working gas flow is obtained. However, in the test of insulating material arc ablation resistance, a pair of high-voltage electrodes under power frequency AC is usually set on the surface of the insulating material to generate the required arc.

[0005] In summary, the existing technology still has the following problems: (1) Existing models focus on the characteristics of arc plasma itself (such as temperature, current, magnetic field, etc.), and fail to include the response process of thermal decomposition, melting and vaporization of insulating materials after being affected by arc into the simulation system, and cannot reflect the evolution of material ablation morphology and its feedback influence on the dynamic characteristics of arc; (2) Some studies use direct current arc or stable arc under certain conditions as the object, while actual arc resistance performance test of insulating materials is mostly based on power frequency alternating current high voltage arc, which has significant differences in arc physical characteristics, energy transfer mechanism, etc., resulting in simulation results difficult to effectively guide engineering application; (3) Without integrating the material ablation model, the existing method cannot simulate the damage accumulation process of insulating materials under the action of arc, so it is difficult to predict key performance indicators such as arc resistance life and carbonization resistance, and cannot provide comprehensive basis for material selection. SUMMARY

[0006] The technical problem to be solved by the present application is the defects of the prior art. Specifically, the present application provides a simulation method for arc ablation resistance of insulating material surface based on magnetohydrodynamics, which calculates the arc ablation resistance model of insulating material surface by COMSOL finite element simulation software, and judges the arc ablation resistance degree of insulating material by combining the TGA curve of insulating material, to realize the simulation test method of arc ablation resistance performance of insulating material.

[0007] To achieve the above purpose, the technical scheme adopted by the present application is as follows: The simulation method for arc ablation resistance of insulating material surface based on magnetohydrodynamics comprises the following steps: Step 1, a three-dimensional arc ablation resistance model of insulating material surface is established and imported into COMSOL finite element simulation software; Step 2, introduce several constraint conditions to constrain the arc ablation resistance model of insulating material surface during simulation; Step 3, construct a set of magnetohydrodynamic control equations to describe the physical characteristics of arc plasma; the set of magnetohydrodynamic control equations includes magnetic flow mass conservation equation, magnetic flow momentum conservation equation, energy conservation equation, magnetic field equation and electric field equation; Step 4, select magnetic field and electric field module, laminar flow module, heat transfer module and circuit module in COMSOL finite element simulation software, and set the boundary conditions of arc ablation resistance model of insulating material surface; Step 5, set user-defined grid in COMSOL finite element simulation software, specifically, the columnar arc calculation domain grid is refined, and the rest of the calculation domain grid is coarse; Step 6: Based on the custom mesh from Step 5, the magnetohydrodynamic control equations are iteratively solved using COMSOL finite element simulation software to obtain the temperature distribution of the insulating material under different arc ablation times. Step 7: Extract the temperature during the arc ablation process from the temperature distribution map and compare it with the TGA curve of the insulating material to determine the degree of arc ablation resistance of the insulating material.

[0008] Preferably, the arc-resistant ablation model of the insulating material surface in step 1 consists of an insulating material sheet, two needle-shaped electrodes, a columnar arc, an insulating platform, and an air domain; the insulating platform is at the bottom, the insulating material sheet is placed in the center of the insulating platform, the two needle-shaped electrodes are placed in a V-shape above the insulating material, and the columnar arc is located between the two needle electrodes. The insulating platform, the area above the insulating material sheet, the columnar arc, and the area around the needle electrodes are all air domains.

[0009] Preferably, the constraint condition in step 2 is: Assume the arc plasma is in laminar flow and neglect turbulence effects; The columnar arc of the electric arc plasma is completely ionized, and the columnar arc satisfies the local thermodynamic equilibrium condition. Arc plasma is an air arc, and its density, specific heat capacity, electrical conductivity, and net volumetric radiation coefficient are functions of temperature as a single variable. Ignore the effects of gravity and the inertial components of electrons; The effects of material transformation and metal vapor are ignored.

[0010] Preferably, in step 3, the expression for the magnetohydrodynamic mass conservation equation is: ; In the formula, The charge density of the ions; The velocity vector of the flow field. t For time, The expression represents calculating the partial derivative, and div represents calculating the divergence. Let the coordinates of the ion in the plane coordinate system be ( , The expression for the conservation equation of magnetic flux is: ; ; In the formula, , Let be the two velocity components of the ion's motion along the plane coordinate axes. Let be the viscosity coefficient of the fluid. Let grad represent the fluid pressure, and grad denote the gradient. , are two momentum source terms of ions on the plane coordinate axis, and their expressions are respectively: ; ; In the formula, is the thermal conductivity, J is the current density, B is the magnetic induction intensity; The expression of the magnetic current energy conservation equation is: ; In the formula, T is the temperature, is the mass heat capacity; is the heat source term, and its expression is: ; In the formula, is the Boltzmann constant, e is the electronic charge, E is the electric field intensity; is the total volume radiation dissipation; The expression of the electric field equation is: And ; In the formula, is the electrical conductivity, is the electric field potential; The expression of the magnetic field equation is: And ; In the formula, is the vacuum permeability, A is the magnetic vector.

[0011] Preferably, the implementation process of step 4 is: For the magnetic field and electric field module, one of the needle electrodes is grounded at the tail end, and the other needle electrode is coupled with the circuit module, and the remaining boundaries of the two needle electrodes are set to be electrically insulated; For the circuit module, an open circuit network is set, the open circuit voltage of the circuit network is set to alternating high voltage, one end is set to ground, and the other end is coupled with the magnetic field and electric field module; For the laminar flow module, the outer boundary of the air domain is set to an open boundary, and the remaining boundaries of the air domain are set to a wall boundary without sliding; For the heat transfer module, the outer boundary of the air domain is set to an open boundary, and the boundary around the insulating platform is set to a natural convection heat exchange boundary.

[0012] Preferably, the grid in step 5 is a tetrahedral grid; the refined grid is defined as: the grid size parameter range is 0.04mm-4mm; and the coarsened grid is defined as: the grid size parameter range is 5.6mm-30mm.

[0013] Preferably, the implementation process of step 6 is as follows: Step 6.1, continuously arc ablation simulation is carried out on the surface of the insulating material by an arc ablation resistance model of the insulating material in COMSOL finite element simulation software, and parameters describing the electric-magnetic-thermal-fluid behavior are solved by coupling iteration of a set of magnetohydrodynamic equations, so as to simulate the continuous arc ablation process on the surface of the insulating material. Step 6.2, the simulation calculation is terminated after the continuous arc ablation process on the surface of the insulating material is completed, and the calculation results of the potential distribution and the temperature distribution at different times are extracted, and a temperature distribution diagram of the insulating material at different arc ablation times is drawn.

[0014] The application further provides a device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, wherein the processor implements the steps of the simulation method for arc ablation resistance of the surface of the insulating material based on magnetohydrodynamics when executing the computer program.

[0015] The application further provides a computer program product comprising computer programs / instructions, wherein the computer programs / instructions implement the steps of the simulation method for arc ablation resistance of the surface of the insulating material based on magnetohydrodynamics when executed by a processor.

[0016] The application further provides a readable storage medium having a computer program stored thereon, wherein the computer program implements the steps of the simulation method for arc ablation resistance of the surface of the insulating material based on magnetohydrodynamics when executed.

[0017] Compared with the prior art, the application has the following beneficial effects: (1) The application proposes an arc ablation resistance model of the surface of the insulating material, wherein an insulating material ablation model is integrated in the model, a set of magnetohydrodynamic equations is introduced, and a complex multi-physical field process of arc ablation and insulating material ablation response is completely simulated through coupling of four modules of magnetic field, electric field, laminar flow, heat transfer and circuit in COMSOL finite element software.

[0018] (2) The application takes a power frequency alternating current high-voltage arc and an insulating material as simulation objects, which is more in line with engineering practice, and can simulate the surface arc ablation resistance process of any insulating material by changing the physical property parameters of the insulating material, and can judge the arc ablation resistance performance of the insulating material by modifying the simulation time and introducing a material TGA curve, thereby providing technical support for selection of insulating materials for high-voltage switch devices. BRIEF DESCRIPTION OF DRAWINGS

[0019] Figure 1 is a schematic diagram of the model of arc erosion resistance of the surface of the insulating material.

[0020] Figure 2 is a graph of the value of the total volume radiation dissipation as a function of temperature T.

[0021] Figure 3 is a mesh plot of the simulation model of arc erosion resistance of the surface of the insulating material in the embodiment of the application.

[0022] Figure 4 is a temperature distribution diagram of the insulating material under different arc erosion times.

[0023] Figure 5 is a TGA curve of the epoxy resin in the embodiment of the application. DETAILED DESCRIPTION

[0024] In order to make the technical solution of the application more clear and explicit to those skilled in the art, the application will be described in further detail below in conjunction with the embodiments and the accompanying drawings.

[0025] The application proposes a model of arc erosion resistance of the surface of the insulating material, innovatively introduces a set of magnetohydrodynamic equations, and completely simulates the complex multi-physical field process of arc erosion by coupling four modules of magnetic field and electric field, laminar flow, heat transfer and circuit in the COMSOL finite element software. The method comprises the following steps: Step 1, establishing a three-dimensional model of arc erosion resistance of the surface of the insulating material, and importing the COMSOL finite element simulation software.

[0026] Figure 1 is a schematic diagram of the three-dimensional model of arc erosion resistance of the surface of the insulating material. As can be seen from the diagram, the model of arc erosion resistance of the surface of the insulating material is composed of an insulating material sheet, a pair of needle electrodes, a columnar arc, an insulating platform and an air domain. The insulating platform is at the bottom, the insulating material sheet is placed at the central position of the insulating platform, the two needle electrodes are placed in a V shape above the insulating material, and the columnar arc is located between the two needle electrodes. The insulating platform, the insulating material sheet above, the columnar arc and the needle electrodes around are air domains.

[0027] In this embodiment, the insulating material is selected as epoxy resin.

[0028] ​The insulating table is 200 mm long, 200 mm wide and 10 mm high. A piece of insulating material sheet with a length of 100 mm, a width of 100 mm and a height of 3 mm is placed at the central top of the insulating table. A pair of needle electrodes with an inclination of 45° are arranged above the insulating material sheet, the needle-shaped heads of the two needle electrodes are placed on the surface of the insulating material, with a spacing of 6.35 mm, and the electrode material is set as tungsten. A cylindrical arc with a length of 6.35 mm and a diameter of 0.2 mm is arranged between the heads of the two needle electrodes. Except for the insulating table, the insulating material sheet, the needle electrodes and the cylindrical arc, the rest of the insulating material surface arc-ablation-resistant model is an air domain, which is a cuboid space with a length of 200 mm, a width of 200 mm and a height of 100 mm.

[0029] Step 2: Introduce several constraint conditions to constrain the insulating material surface arc-ablation-resistant model in the simulation process.

[0030] The constraint conditions are: (1) It is assumed that the arc plasma is in laminar flow, and the turbulent flow effect is ignored; (2) The cylindrical arc of the arc plasma is completely ionized, and the cylindrical arc satisfies the local thermodynamic equilibrium condition; (3) The arc plasma is an air arc, and its density, specific heat capacity, electrical conductivity and total volume net radiation coefficient are single variable functions of temperature; (4) The effect of gravity is ignored, and the inertial component of electrons is ignored; (5) The effects of material conversion and metal vapor are ignored.

[0031] Step 3: Construct the magnetohydrodynamic control equation set to describe the physical properties of the arc plasma; the magnetohydrodynamic control equation set includes the magnetohydrodynamic mass conservation equation, the magnetohydrodynamic momentum conservation equation, the energy conservation equation, the magnetic field equation and the electric field equation.

[0032] The expression of the magnetohydrodynamic mass conservation equation is: ; In the formula, is the charge density of ions; is the flow field velocity vector, t is the time, represents the partial derivative, and div represents the divergence.

[0033] Let the coordinates of ions in the plane coordinate system be (x, y), the expression of the magnetohydrodynamic momentum conservation equation is: ; ; ; In the formula,​ , is the two velocity components of the ions in the plane coordinate axis, is the viscosity coefficient of the fluid, is the fluid pressure, grad represents the gradient; , is the two momentum source components of the ions in the plane coordinate axis, the expressions of which are respectively: ; ; wherein, is the thermal conductivity, J is the current density, B is the magnetic induction intensity.

[0034] The expression of the magnetic current energy conservation equation is: ; wherein, T is the temperature, is the mass heat capacity; is the heat source term, the expression of which is: ; wherein, is the Boltzmann constant, e is the electronic charge, E is the electric field intensity, J is the current density; is the total volume radiation dissipation. The value of the total volume radiation dissipation is a nonlinear function of the temperature T , and the specific curve is shown in Figure 2 .

[0035] The expression of the electric field equation is: and ; wherein, is the electric conductivity, is the electric field potential.

[0036] The expression of the magnetic field equation is: and ; wherein, is the vacuum permeability, A is the magnetic vector.

[0037] Step 4: Selecting the magnetic field and electric field modules, laminar flow modules, heat transfer modules and circuit modules in the COMSOL finite element simulation software, setting the boundary conditions of the arc erosion resistance model of the insulating material surface.

[0038] The implementation process of step 4 is as follows: For the magnetic field and electric field module, one of the needle electrodes is set as ground, and the other needle electrode is coupled with the circuit module; the remaining boundaries of the two needle electrodes are set as electrically insulated; For the circuit module, a two-terminal circuit network is set, the open circuit voltage of the circuit network is set as an alternating high voltage, one end is set as ground, and the other end is coupled with the magnetic field and electric field module; For the laminar flow module, the outer boundary of the air domain is set as an open boundary, and the remaining boundaries of the air domain are set as no-slip wall boundaries; For the heat transfer module, the outer boundary of the air domain is set as an open boundary, and the boundary around the insulating platform is set as a natural convection heat transfer boundary.

[0039] In this embodiment, the initial voltage of the needle electrode tail end coupled with the circuit module in the magnetic field and electric field module is 0 / V. The alternating high voltage in the circuit module is 50Hz alternating high voltage 12.5kV. In the laminar flow module, the normal stress of the open boundary is 0N / m 2 In the heat transfer module, the surface temperature of the outer boundary of the air domain, the boundary around the insulating platform, and the bottom surface are all 293.15K.

[0040] Step 5: User-defined mesh setting in COMSOL finite element simulation software, specifically, the columnar arc calculation domain mesh is refined mesh, and the remaining calculation domain mesh is coarse mesh.

[0041] The mesh is a tetrahedral mesh; the refined mesh is defined as: the mesh size parameter range is 0.04mm-4mm; the coarse mesh is defined as: the mesh size parameter range is 5.6mm-30mm.

[0042] 0.04mm-4mm means that the minimum mesh has a minimum edge length of 0.04mm, and the maximum mesh has a maximum edge length of 4mm. When setting the mesh type in the simulation software, the system will automatically divide the mesh in the region to 0.04mm-4mm when a region is set to refined mesh.

[0043] Figure 3 The grid division diagram of the arc ablation simulation model of the insulating material surface of the magnetic hydrodynamic in the embodiment of the application.

[0044] Step 6: Based on the user-defined mesh of step 5, the magnetic hydrodynamic control equation set is iteratively solved by COMSOL finite element simulation software, and the temperature distribution diagram of the insulating material at different arc ablation times is obtained.

[0045] The implementation process of step 6 is as follows: Step 6.1, in the COMSOL finite element simulation software, the continuous arc ablation simulation is carried out by the arc ablation resistance model of the surface of the insulating material, and the parameters describing the electric-magnetic-thermal-fluid behavior are coupled and iteratively solved by the magnetohydrodynamic equation set to simulate the continuous arc ablation process of the surface of the insulating material.

[0046] Step 6.2, after the end of the continuous arc ablation process of the surface of the insulating material, the simulation calculation is terminated, and the calculation results of the potential distribution and the temperature distribution at different times are extracted, and the temperature distribution diagram of the insulating material under different arc ablation times is drawn.

[0047] Step 7, the temperature in the arc ablation process in the temperature distribution diagram is extracted, and compared with the TGA curve of the insulating material, and the arc ablation resistance of the insulating material is judged.

[0048] Figure 4 The temperature distribution diagram of the insulating material under four arc ablation times is shown in FIG. 4. According to the TGA curve, the initial melting and decomposition temperature of the insulating material can be determined, and the TGA curve of the epoxy resin sheet selected in this embodiment is shown in FIG. 5. It can be seen that the epoxy resin material begins to melt and decompose at about 160℃, and the remaining mass almost reaches the minimum value at about 420℃, which represents that the epoxy resin is almost completely melted and decomposed. Figure 5

[0049] The present application also provides a device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, wherein the processor executes the computer program to realize the steps of the magnetic hydrodynamic based simulation method for arc ablation resistance of the surface of the insulating material.

[0050] The present application also provides a computer program product comprising computer programs / instructions, which are executed by a processor to realize the steps of the magnetic hydrodynamic based simulation method for arc ablation resistance of the surface of the insulating material.

[0051] The present application also provides a readable storage medium having a computer program stored thereon, which is executed to realize the steps of the magnetic hydrodynamic based simulation method for arc ablation resistance of the surface of the insulating material.

[0052] The above is only a preferred embodiment of the present application, and does not limit the present application, and any modification, equivalent replacement and improvement made within the spirit and principle of the present application shall be included in the protection scope of the present application.​

Claims

1. A method for simulating arc erosion resistance of an insulating material surface based on magnetohydrodynamics, characterized in that, The method comprises the following steps: Step 1, a three-dimensional arc erosion resistance model of an insulating material surface is established, and is imported into COMSOL finite element simulation software; Step 2, a plurality of constraint conditions are introduced in the simulation process to constrain the arc erosion resistance model of the insulating material surface; Step 3, a set of magneto-hydrodynamic control equations is constructed to describe the physical properties of the arc plasma; the set of magneto-hydrodynamic control equations comprises a magneto-hydrodynamic mass conservation equation, a magneto-hydrodynamic momentum conservation equation, an energy conservation equation, a magnetic field equation and an electric field equation; Step 4, in the COMSOL finite element simulation software, a magnetic field and an electric field module, a laminar flow module, a heat transfer module and a circuit module are selected, and boundary conditions of the arc erosion resistance model of the insulating material surface are set; Step 5, in the COMSOL finite element simulation software, user-defined mesh setting is performed; specifically, the mesh of the columnar arc calculation domain is fine mesh, and the mesh of the remaining calculation domain is coarse mesh; Step 6, based on the user-defined mesh of step 5, the set of magneto-hydrodynamic control equations is iteratively solved by the COMSOL finite element simulation software, and a temperature distribution diagram of the insulating material under different arc erosion times is obtained; Step 7, the temperature in the arc erosion process in the temperature distribution diagram is extracted, and is compared with a TGA curve of the insulating material, so that the arc erosion resistance of the insulating material is determined.

2. The magneto-hydrodynamic based simulation method of surface arc erosion resistance of insulating materials according to claim 1, wherein, The arc erosion resistance model of the insulating material surface in step 1 is composed of an insulating material sheet, two needle electrodes, a columnar arc, an insulating platform and an air domain; the insulating platform is at the bottom, the insulating material sheet is placed at the central position of the insulating platform, the two needle electrodes are placed in a V shape above the insulating material, and the columnar arc is located between the two needle electrodes; the insulating platform, the insulating material sheet above, the columnar arc and the needle electrodes around are air domains.

3. The magneto-hydrodynamic based simulation method of surface arc erosion resistance of insulating materials according to claim 2, wherein, The constraint conditions in step 2 are: It is assumed that the arc plasma is in laminar flow, and the turbulent flow effect is ignored; The columnar arc of the arc plasma is completely ionized, and the columnar arc satisfies the local thermodynamic equilibrium condition; The arc plasma is an air arc, and the density, specific heat capacity, electrical conductivity and total volume net radiation coefficient of the arc plasma are single variable functions of temperature; The effect of gravity is ignored, and the inertial component of the electron is ignored; The effects of material conversion and metal vapor are ignored.

4. The magneto-hydrodynamic based simulation method of surface arc erosion resistance of insulating materials according to claim 3, wherein, In step 3, the expression of the magneto-hydrodynamic mass conservation equation is: wherein is the charge density of the ions; is the flow field velocity vector, t is time, denotes the partial derivative, and div denotes the divergence. Let the coordinates of the ion in the plane coordinate system be ( , The expression for the conservation equation of magnetic flux is: wherein , are two components of the velocity of the ion on the plane coordinate axes, is the viscosity coefficient of the fluid, is the fluid pressure, grad denotes the gradient; , are two components of the momentum source term of the ion on the plane coordinate axes, whose expressions are respectively: wherein is thermal conductivity, J is current density, B is magnetic induction. The expression of the magneto-hydrodynamic energy conservation equation is: wherein T T is the temperature, Cp is the mass heat capacity; T is the temperature, Cp is the mass heat capacity; T is the temperature, Cp is the mass heat capacity; <000 wherein is the Boltzmann constant, e is the electron charge, E is the electric field strength; is the total volume radiation dissipation; The expression of the electric field equation is: and wherein is the conductivity, is the electric field potential; The expression of the magnetic field equation is: and wherein is the vacuum permeability, A is the magnetic vector.

5. The magnetohydrodynamic-based insulating material surface arc-erosion- resistance simulation method according to claim 4, characterized in that, The implementation process of step 4 is: For the magnetic field and electric field module, the tail end of one needle electrode is set as grounding, the tail end of the other needle electrode is coupled with the circuit module, and the remaining boundaries of the two needle electrodes are set as electrically insulating; For the circuit module, a two-terminal circuit network is set, the open circuit voltage of the circuit network is set as alternating high voltage, one end is set as grounding, and the other end is coupled with the magnetic field and electric field module; For the laminar flow module, the outer boundary of the air domain is set as an open boundary, and the remaining boundaries of the air domain are set as no-slip wall boundaries; For the heat transfer module, the outer boundary of the air domain is set as an open boundary, and the boundary around the insulating platform is set as a natural convection heat transfer boundary.

6. The magnetohydrodynamic-based insulating material surface arc-erosion- resistance simulation method according to claim 5, characterized in that, The grid in step 5 is a tetrahedral grid; the refined grid is defined as: the grid size parameter range is 0.04mm-4mm; and the coarsened grid is defined as: the grid size parameter range is 5.6mm-30mm.

7. The magnetohydrodynamic-based insulating material surface arc-erosion- resistance simulation method according to claim 6, characterized in that, The implementation process of step 6 is as follows: Step 6.1, in the COMSOL finite element simulation software, the continuous arc ablation simulation is carried out through the arc ablation resistance model of the surface of the insulating material, and the parameters describing the electric-magnetic-thermal-fluid behavior are solved by coupling iteration of the magnetohydrodynamic equation set, so as to simulate the continuous arc ablation process of the surface of the insulating material; Step 6.2, after the continuous arc ablation process of the surface of the insulating material is completed, the simulation calculation is terminated, and the calculation results of the potential distribution and the temperature distribution at different times are extracted, and the temperature distribution diagram of the insulating material under different arc ablation times is drawn.

8. An apparatus, comprising: A computer program product including a memory, a processor, and a computer program stored on the memory and executable on the processor, wherein the processor implements the steps of the arc ablation resistance simulation method of the surface of the insulating material based on magnetohydrodynamics according to any one of claims 1-7 when executing the computer program.

9. A computer program product, characterised in that, A computer program / instruction, which, when executed by a processor, implements the steps of the arc ablation resistance simulation method of the surface of the insulating material based on magnetohydrodynamics according to any one of claims 1-7.

10. A readable storage medium, characterized by, A computer program product having a computer program stored thereon, wherein the computer program, when executed, implements the steps of the arc ablation resistance simulation method of the surface of the insulating material based on magnetohydrodynamics according to any one of claims 1-7.

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