An environmental gas electric arc discrete coordinate radiation transport solving method
By using an environmentally friendly discrete coordinate radiation transport solution method for gas arcs, the problems of poor universality in high-voltage circuit breaker radiation calculations and low-temperature reabsorption at the arc edge are solved, enabling accurate calculation of arc radiation from high-voltage gas circuit breakers and improving the breaking performance of circuit breakers.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- XI AN JIAOTONG UNIV
- Filing Date
- 2025-09-28
- Publication Date
- 2026-06-26
Smart Images

Figure CN121302659B_ABST
Abstract
Description
Technical Field
[0001] This invention belongs to the technical field of high-voltage gas circuit breakers, specifically relating to an environmentally friendly method for solving discrete coordinate radiation transport in gas arcs. Background Technology
[0002] SF6 high-voltage gas circuit breakers are crucial equipment for power system control and protection, but their use is strictly limited due to their strong greenhouse effect. Numerous new environmentally friendly gases, such as C4F7N-CO2-O2, have attracted widespread attention, but their performance in high-capacity breaking capacity circuit breakers still faces significant challenges. High-capacity breaking processes generate high-temperature (above 20000K) and high-pressure (several MPa) gaseous arc plasma with strong radiation effects. Arc radiation is a key issue in high-capacity breaking and a major physical mechanism determining circuit breaker breaking performance: on the one hand, the successful breaking of a circuit breaker under high-current conditions depends on the rapid cooling and extinguishing of the arc within a short time, and radiation is the main mechanism for arc energy dissipation during the arcing stage; on the other hand, during the high-current arcing stage, the intense radiation from the high-temperature arc in the PTFE nozzle leads to severe ablation of the nozzle material, and the ablation vapor promotes pressure accumulation in the arc-extinguishing chamber, reaching tens of atmospheres, thus affecting arc-extinguishing performance. Therefore, research on the radiation theory and modeling method of electric arc in environmentally friendly high-voltage gas circuit breakers is crucial, as it directly affects the improvement of the high-capacity breaking performance of environmentally friendly circuit breakers.
[0003] However, it is very difficult to accurately assess the arc radiation characteristics of high-voltage circuit breakers. It is necessary to consider the radiation emission and absorption processes in a wide spectral range covering infrared to ultraviolet. Radiation emission and absorption are affected by temperature, pressure and composition changes, so it is necessary to consider the radiation characteristics in time, space and frequency domain at the same time.
[0004] Currently, relevant research both domestically and internationally mainly employs the net emission coefficients (NEC) method. The accuracy of this method depends on experience in determining the net emission zone. However, the NEC method suffers from several drawbacks. First, it requires dynamic adjustment of different empirical parameters for the net emission zone for different gaseous media (SF6, CO2, C4F7N-CO2-O2, Air), resulting in poor versatility. Second, it is only applicable to the high-temperature region of the arc core and cannot accurately assess the low-temperature region at the arc edge, especially the reabsorption effect after mixing with ablation vapor.
[0005] It is evident that existing methods for calculating radiation in high-voltage circuit breakers suffer from shortcomings such as poor versatility and insufficient accuracy. There is still a lack of precise radiation modeling methods that simultaneously consider time, space, and frequency domain characteristics, and insufficient understanding of arc radiation transport throughout the entire high-current breaking process, thus hindering the improvement of high-capacity breaking performance in environmentally friendly circuit breakers. Summary of the Invention
[0006] The purpose of this invention is to overcome the problems of poor universality and inability to assess low-temperature reabsorption at the arc edge in traditional high-voltage circuit breaker radiation calculation methods. A discrete coordinate method for solving the radiation transport of high-voltage gas circuit breakers is proposed. Based on refined spectra and spatial discrete coordinates, this method can accurately and reliably solve the radiation transport of high-voltage gas circuit breakers in the time, space, and frequency domains, thus solving the shortcomings of traditional methods such as poor universality and inability to assess low-temperature reabsorption at the arc edge.
[0007] To achieve the above objectives, the present invention adopts the following technical solution:
[0008] In a first aspect, the present invention provides a method for solving the discrete coordinate radiation transport of environmentally friendly gas electric arcs, comprising the following steps:
[0009] S1. Obtain the atomic and molecular spectral data of the environmentally friendly gas, calculate the arc line spectrum and continuous spectrum of the environmentally friendly gas from the atomic and molecular spectral data, and obtain the total fine spectrum of the environmentally friendly gas arc based on the arc line spectrum and continuous spectrum of the environmentally friendly gas arc.
[0010] S2. Based on Kirchhoff's laws, establish the relationship between the emission spectrum and the absorption spectrum of the total fine spectrum of the environmental gas arc to obtain the fine spectrum absorption coefficient.
[0011] S3. Calculate the Planck-Rossland average absorption coefficient for multi-band mixing of gas arc based on the fine spectral absorption coefficient.
[0012] S4. Establish a multi-band radiation transport model based on the discrete coordinate method, use the Planck-Rossland coefficients of the gas arc multi-band mixture as input parameters of the discrete coordinate method, solve the multi-band radiation transport equation based on the discrete coordinate method, and obtain the radiation transport simulation results.
[0013] S5. Perform an opening and closing experiment to verify the multi-band radiation transport model based on the discrete coordinate method, obtain the experimental verification results, compare the experimental verification results with the radiation transport simulation results, and obtain the average error; if the average error is less than the threshold, the iteratively verified multi-band radiation transport equation based on the discrete coordinate method is obtained; if the average error is greater than the threshold, return to S3.
[0014] S6. Based on the iteratively verified multi-band radiation transport equation based on the discrete coordinate method, obtain the radiation characteristics at different times during the entire process of high-voltage gas circuit breaker opening, as well as the evolution characteristics of radiation power over time, and complete the discrete coordinate radiation transport solution for environmental gas arc.
[0015] Furthermore, the electric arc line spectrum and electric arc continuous spectrum of the environmentally friendly gas were calculated from the atomic and molecular spectral data of the environmentally friendly gas, including:
[0016] The electric arc spectrum of environmentally friendly gases is calculated using the formula for calculating the electric arc spectrum of environmentally friendly gases based on the atomic and molecular spectral data of environmentally friendly gases.
[0017] The formula for calculating the arc spectrum of the environmentally friendly gas is as follows:
[0018]
[0019] in, This represents the arc spectrum of environmentally friendly gases. h It is Planck's constant, and c represents the speed of light. represent u energy level to l The wavelength produced by energy level transitions It is the Einstein coefficient. Representing energy level u The number density of atoms, ions, or molecules on the surface. It is the outline of the spectral lines;
[0020] The continuous spectrum of environmentally friendly gas is calculated using the formula for calculating the continuous spectrum of environmentally friendly gas arc using atomic and molecular spectral data. The formula for calculating the continuous spectrum of environmentally friendly gas arc considers both composite radiation and bremsstrahlung radiation.
[0021] The formula for calculating the continuous spectrum of the environmentally friendly gas arc is as follows:
[0022]
[0023]
[0024] in, This represents the continuous spectrum of an environmentally friendly gas arc considering combined radiation. Indicates wavelength. It is the electron temperature. It is electronic quality. It is electron charge. It is the dielectric constant. It is Boltzmann's constant. It's temperature. It is electron density. It is the number density of particle i. It is the photoionization section or the photodissociation section; This represents the continuous spectrum of an environmentally friendly gas arc considering bremsstrahlung radiation, where z is the charge number. It is the free-free Gaunt factor.
[0025] Furthermore, the total fine spectrum of the environmentally friendly gas arc is the sum of the environmentally friendly gas arc line spectrum and the environmentally friendly gas arc continuous spectrum.
[0026] Furthermore, the relationship between the emission spectrum and the absorption spectrum is shown in the following equation:
[0027]
[0028] in, It is the spectral emissivity. It is the fine spectral absorption coefficient. It is the Planck function.
[0029] Furthermore, the Planck-Rossland average absorption coefficient for multi-band gas arc mixing is calculated using the following formula:
[0030]
[0031]
[0032]
[0033] in, This represents the average absorption coefficient of the Planck-Rossland mixture. This represents the Planck average absorption coefficient. This represents the Rossland average absorption coefficient, where n represents the number of frequency band divisions. It is the fine spectral absorption coefficient. It is the Planck function.
[0034] Furthermore, the simulation results for radiation transport include net radiative power, as shown in the following equation:
[0035]
[0036] in, It is net radiated power. It is radiation flux. It is the Planck function of the nth frequency band. It is the weighting factor in the k-th direction. It is point r along the direction Frequency is spectral radiance, This represents the average absorption coefficient of the Planck-Rossland mixture, where n represents... The number of spectral bands, It is the wavelength interval of the nth frequency band.
[0037] Furthermore, the breaking test verification in S5 includes high-capacity breaking test verification under the high-capacity breaking condition of the high-voltage gas circuit breaker by means of radiated power, arc power and pressure increment. Specifically, breaking tests at different current levels are carried out on a real structure circuit breaker prototype. Radiated power is measured by a fast-response thermopile sensor, arc power is obtained by a high-voltage probe and Rogowski coil, and pressure increment is measured by a pressure sensor.
[0038] Secondly, the present invention provides an environmentally friendly gas arc discrete coordinate radiation transport solution system, comprising:
[0039] The module for obtaining the total fine spectrum of environmentally friendly gas electric arc is used to acquire atomic and molecular spectral data of environmentally friendly gas, calculate the line spectrum and continuous spectrum of environmentally friendly gas electric arc from the atomic and molecular spectral data, and obtain the total fine spectrum of environmentally friendly gas electric arc based on the line spectrum and continuous spectrum of environmentally friendly gas electric arc.
[0040] The module for obtaining the fine spectral absorption coefficient is used to obtain the fine spectral absorption coefficient by establishing the relationship between the emission spectrum and the absorption spectrum based on Kirchhoff's law for the total fine spectrum of environmental gas arcs.
[0041] The average absorption coefficient calculation module is used to calculate the Planck-Rossland average absorption coefficient for multi-band mixing of gas arcs based on the fine spectral absorption coefficient.
[0042] The radiation transport simulation module is used to establish a multi-band radiation transport model based on the discrete coordinate method. The Planck-Rossland coefficients of the gas arc multi-band mixture are used as input parameters of the discrete coordinate method to solve the multi-band radiation transport equation based on the discrete coordinate method and obtain the radiation transport simulation results.
[0043] The breaking experiment verification module is used to perform breaking experiments to verify the multi-band radiation transport model based on the discrete coordinate method, obtain the experimental verification results, compare the experimental verification results with the radiation transport simulation results, and obtain the average error; if the average error is less than the threshold, the iteratively verified multi-band radiation transport equation based on the discrete coordinate method is obtained; if the average error is greater than the threshold, the module returns to the average absorption coefficient calculation module.
[0044] The module for solving discrete coordinate radiation transport in environmentally friendly gas arcs is used to obtain the radiation characteristics at different times during the entire opening process of a high-voltage gas circuit breaker, as well as the evolution characteristics of radiation power over time, based on the iteratively verified multi-band radiation transport equation using the discrete coordinate method, and to complete the discrete coordinate radiation transport solution for environmentally friendly gas arcs.
[0045] Thirdly, the present invention provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the aforementioned method for solving discrete coordinate radiation transport of environmentally friendly gas arcs.
[0046] Fourthly, the present invention provides a computer-readable storage medium storing a computer program, wherein the computer program, when executed by a processor, describes a method for solving discrete coordinate radiation transport in environmentally friendly gas arcs.
[0047] Compared with the prior art, the present invention has the following beneficial technical effects:
[0048] This invention proposes a discrete coordinate radiative transport solution method for environmentally friendly gas arcs. First, the fine emission-absorption spectra of the atoms and molecules in the environmentally friendly gas arc are calculated (S1, S2). Based on this, the Planck-Rossland mixed average absorption coefficient is calculated (S3) as an input parameter. A multi-band discrete coordinate radiative transport model is then established (S4) and the radiative transport is solved. The solution results are compared with those from high-capacity breaking experiments (S5), and the average absorption coefficient is iteratively evaluated to obtain the optimal average absorption coefficient. Finally, an accurate solution for high-capacity radiative transport is achieved (S6). This invention provides a complete solution method from fine radiative spectra to a radiative model for environmentally friendly high-voltage gas circuit breaker arcs. Furthermore, this method can be further applied to the calculation of arc radiative transport processes for other SF6 environmentally friendly alternative gas media, demonstrating broad applicability.
[0049] Furthermore, a method for calculating the atomic-molecular line spectrum, continuous spectrum, and mixed average absorption coefficient of multi-component environmentally friendly mixed gas arc frequency domain characteristics was proposed, which solved the problem of missing basic radiation parameters of environmentally friendly gas and achieved a combination of radiation calculation accuracy and efficiency.
[0050] Furthermore, considering the complete radiation emission and absorption process during high-capacity interruption, a radiation transport model based on the discrete coordinate method was developed, which solved the problem of radiation reabsorption at the arc edge that the traditional NEC semi-empirical method could not solve. The correctness and effectiveness of the proposed method were verified through experiments. Attached Figure Description
[0051] The accompanying drawings described herein are for illustrative purposes only and are not intended to limit the scope of the invention in any way. Furthermore, the shapes and proportions of the components in the drawings are merely schematic to aid in understanding the invention and do not specifically limit the shapes and proportions of the components. In the drawings:
[0052] Figure 1This is a flowchart of an environmentally friendly gas arc discrete coordinate radiation transport solution method according to the present invention.
[0053] Figure 2 This is a structural diagram of an environmentally friendly gas arc discrete coordinate radiation transport solution system according to the present invention.
[0054] Figure 3 This is an electronic device diagram of the environmentally friendly gas arc discrete coordinate radiation transport solution method of the present invention.
[0055] Figure 4 This is a flowchart of the radiation transport calculation method of the present invention.
[0056] Figure 5 The fine radiation spectra are calculated under different pressures.
[0057] Figure 6 Mixed average absorption coefficient .
[0058] Figure 7 This invention is used to compare the radiated power calculated using this invention with experimental measurement results.
[0059] Figure 8 This invention is used to compare the arc power calculated using this invention with traditional methods and experimental measurement results.
[0060] Figure 9 This invention provides a comparison of the transient pressure calculated using this invention with that calculated using conventional methods.
[0061] Figure 10 The result is the radial distribution of net radiated power at a certain moment calculated using this invention.
[0062] Figure 11 The evolution of radiant power over time is calculated using this invention. Detailed Implementation
[0063] To enable those skilled in the art to better understand the present invention, the technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings of the embodiments of the present invention. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort should fall within the scope of protection of the present invention.
[0064] Example 1
[0065] See Figure 1 A method for solving the discrete coordinate radiation transport of environmentally friendly gas electric arcs includes the following steps:
[0066] S1. Obtain the atomic and molecular spectral data of the environmentally friendly gas, calculate the arc line spectrum and continuous spectrum of the environmentally friendly gas from the atomic and molecular spectral data, and obtain the total fine spectrum of the environmentally friendly gas arc based on the arc line spectrum and continuous spectrum of the environmentally friendly gas arc.
[0067] S2. Based on Kirchhoff's laws, establish the relationship between the emission spectrum and the absorption spectrum of the total fine spectrum of the environmental gas arc to obtain the fine spectrum absorption coefficient.
[0068] S3. Calculate the Planck-Rossland average absorption coefficient for multi-band mixing of gas arc based on the fine spectral absorption coefficient.
[0069] S4. Establish a multi-band radiation transport model based on the discrete coordinate method, use the Planck-Rossland coefficients of the gas arc multi-band mixture as input parameters of the discrete coordinate method, solve the multi-band radiation transport equation based on the discrete coordinate method, and obtain the radiation transport simulation results.
[0070] S5. Perform an opening and closing experiment to verify the multi-band radiation transport model based on the discrete coordinate method, obtain the experimental verification results, compare the experimental verification results with the radiation transport simulation results, and obtain the average error; if the average error is less than the threshold, the iteratively verified multi-band radiation transport equation based on the discrete coordinate method is obtained; if the average error is greater than the threshold, return to S3.
[0071] S6. Based on the iteratively verified multi-band radiation transport equation based on the discrete coordinate method, obtain the radiation characteristics at different times during the entire process of high-voltage gas circuit breaker opening, as well as the evolution characteristics of radiation power over time, and complete the discrete coordinate radiation transport solution for environmental gas arc.
[0072] This embodiment acquires atomic and molecular spectral data and calculates the total fine spectrum, providing comprehensive and accurate foundational data for subsequent analysis. Based on Kirchhoff's laws, an equation relating emission and absorption spectra is established, scientifically and rationally obtaining the fine spectral absorption coefficient and ensuring the physical validity of the calculation. Calculating the multi-band mixed average absorption coefficient and establishing a discrete coordinate method model enables efficient solution of the radiation transport equation, improving computational accuracy and efficiency. The model is validated through breaking experiments, and iterative optimization based on the average error ensures its reliability and accuracy. Based on the validated equations, the radiation characteristics and power evolution characteristics of the entire breaking process of the high-voltage gas circuit breaker are obtained, providing strong support for the research and application of environmentally friendly gas arc circuit breakers, and contributing to the optimization of circuit breaker design and improvement of its performance and safety.
[0073] Example 2
[0074] See Figure 2An environmentally friendly discrete coordinate radiation transport solution system for gas arcs, comprising:
[0075] The module for obtaining the total fine spectrum of environmentally friendly gas electric arc is used to acquire atomic and molecular spectral data of environmentally friendly gas, calculate the line spectrum and continuous spectrum of environmentally friendly gas electric arc from the atomic and molecular spectral data, and obtain the total fine spectrum of environmentally friendly gas electric arc based on the line spectrum and continuous spectrum of environmentally friendly gas electric arc.
[0076] The module for obtaining the fine spectral absorption coefficient is used to obtain the fine spectral absorption coefficient by establishing the relationship between the emission spectrum and the absorption spectrum based on Kirchhoff's law for the total fine spectrum of environmental gas arcs.
[0077] The average absorption coefficient calculation module is used to calculate the Planck-Rossland average absorption coefficient for multi-band mixing of gas arcs based on the fine spectral absorption coefficient.
[0078] The radiation transport simulation module is used to establish a multi-band radiation transport model based on the discrete coordinate method. The Planck-Rossland coefficients of the gas arc multi-band mixture are used as input parameters of the discrete coordinate method to solve the multi-band radiation transport equation based on the discrete coordinate method and obtain the radiation transport simulation results.
[0079] The breaking experiment verification module is used to perform breaking experiments to verify the multi-band radiation transport model based on the discrete coordinate method, obtain the experimental verification results, compare the experimental verification results with the radiation transport simulation results, and obtain the average error; if the average error is less than the threshold, the iteratively verified multi-band radiation transport equation based on the discrete coordinate method is obtained; if the average error is greater than the threshold, the module returns to the average absorption coefficient calculation module.
[0080] The module for solving discrete coordinate radiation transport in environmentally friendly gas arcs is used to obtain the radiation characteristics at different times during the entire opening process of a high-voltage gas circuit breaker, as well as the evolution characteristics of radiation power over time, based on the iteratively verified multi-band radiation transport equation using the discrete coordinate method, and to complete the discrete coordinate radiation transport solution for environmentally friendly gas arcs.
[0081] Example 3
[0082] See Figure 3 An electronic device includes a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, it implements the aforementioned method for solving discrete coordinate radiation transport in environmentally friendly gas arcs.
[0083] Example 4
[0084] A computer-readable storage medium storing a computer program, which, when executed by a processor, describes a method for solving discrete coordinate radiation transport in an environmentally friendly gas arc.
[0085] Example 5
[0086] See Figure 4 A method for solving the discrete coordinate radiation transport of environmentally friendly gas electric arcs, the specific steps of which include:
[0087] S1: Calculate the fine emission spectrum of multi-component environmentally friendly gas arc over a wide temperature-pressure range.
[0088] The calculation of the fine emission spectrum of an electric arc requires 10 12 -10 16 The contribution of possible atomic and molecular line spectra and continuous spectra to the total radiation spectrum is comprehensively considered within a wide frequency range of Hz:
[0089] The linear emission spectrum is calculated using formula (1):
[0090] (1)
[0091] The continuous spectrum needs to consider both composite radiation and bremsstrahlung mechanisms, and is calculated using formulas (2) and (3):
[0092] (2)
[0093] (3)
[0094] in, These are Einstein coefficients, also known as transition probabilities. h It is Planck's constant. Representing energy level u The number density of atoms, ions, or molecules on a surface. represent u energy level to l The wavelength produced by energy level transitions. It is the outline of the spectral lines, described using the Voight line type. It is Boltzmann's constant. It is the number density of particle i. It is the photoionization cross section or photodissociation cross section. z is the charge number. It is the free-free Gaunt factor.
[0095] Based on this, the total fine spectrum is obtained from formula (4):
[0096] (4)
[0097] The calculations included the main components of environmentally friendly alternative gases, including C and C2. + C2 + C 3+ O, O + O 2+ O 3+ F, F + F 2+ F 3+ , N, N + N 2+ N 3+ CO2, C2, CO, N2, CN, NO, O2, etc.
[0098] The atomic spectral data used in the calculations were all from the ATBASE atomic database, while the molecular spectral data were mainly from the HITRAN and CDSDv databases.
[0099] S2: Based on Kirchhoff's law (5), establish the relationship between the emission spectrum and the absorption spectrum to obtain the fine spectral absorption coefficient.
[0100] (5)
[0101] in, It is the spectral absorption coefficient. It is the Planck function.
[0102] The calculated absorption spectra under different pressures in the infrared to ultraviolet range are as follows: Figure 5 As shown.
[0103] S3: Calculate the average absorption coefficient of gas arc multi-band mixing.
[0104] After obtaining the fine spectral absorption coefficient (approximately 200,000 spectral points), theoretically, solving the radiative transport equation at each wavelength can yield accurate radiation characteristics. However, this means that each iterative change in temperature and pressure would require solving hundreds of thousands of radiative transport equations in the frequency domain, which is unacceptable for high-voltage circuit breakers. Therefore, it is necessary to introduce the average absorption coefficient (MAC) to divide the complete fine spectrum into several frequency bands in the frequency domain, using the same MAC for each band to simplify calculations. This coefficient needs to ensure that it reflects the radiation frequency domain characteristics as completely as possible while reducing the number of equations to be solved.
[0105] However, traditional Planck and Rossland averages can overestimate or underestimate spectral radiation, respectively. Therefore, this embodiment uses a hybrid Planck-Rossland average absorption coefficient:
[0106] (6)
[0107] (7)
[0108] (8)
[0109] Different frequency band divisions will result in different numbers of bands (n) and different frequency band ranges. There are optimal frequency band division numbers and ranges for different gas media, which require continuous iterative attempts.
[0110] Figure 6 The Planck-Rossland average absorption coefficients for C4F7N-CO2-O2 gas mixtures in various frequency bands are shown, with a frequency range of [1e12, 1e15, 2.21e15, 2.68e15, 5.1e15, 1e16] Hz.
[0111] S4: Establish a multi-band radiative transport model based on the discrete coordinate method (DO).
[0112] The discrete coordinate method is based on a discrete representation of the change in radiation intensity direction. It divides the total solid angle range of 4π in space into k directions and solves partial differential equations in each direction to describe radiative transport. The monochromatic RTE in the kth discrete direction is:
[0113] (9)
[0114] In the formula, It is point r along the direction Frequency is spectral radiance, It is the spectral absorption coefficient.
[0115] To reduce computational load while maintaining accuracy in radiation calculations, the mixed average absorption coefficient is... replace As input parameters for the discrete coordinate method, the radiation transport equation is solved.
[0116] Once the radiation intensity in a single direction is determined, the net radiated power can be obtained:
[0117] (10)
[0118] It is the weighting factor in the k-th direction. n represents... The number of spectral bands. Net radiant power. The physical meaning of is radiation emission per unit volume minus radiation absorption.
[0119] This physical quantity is the core result parameter of radiation calculation, reflecting the influence of radiation on the energy transfer and dissipation of gas arcs.
[0120] S5: Experimental verification of the radiation transport solution method.
[0121] Under the high-capacity breaking conditions of high-voltage gas circuit breakers, a method was proposed to verify the accuracy of the radiation model using three experimental parameters: radiated power, arc power, and pressure increment. Breaking experiments at different current levels were conducted on a prototype circuit breaker with a real structure. Radiated power was measured using a fast-response thermopile sensor, arc power was obtained using a high-voltage probe and Rogowski coil, and pressure increment was measured using a pressure sensor. These three parameters were compared with the radiative transport simulation established in step S4. If the average error was less than 15%, the process continued; if the average error was greater than 15%, the process returned to step S3 for further optimization. The number and range of frequency bands were adjusted to ensure that the experimental error was less than 15%.
[0122] Typical comparative results for C4F7N-CO2-O2 mixed gases are as follows: Figure 7 , Figure 8 , Figure 9 As shown, compared with the traditional NEC method, the newly established radiation transport solution method of this invention is closer to the experimental results and has a good agreement, proving that the established radiation transport solution method is effective.
[0123] S6: Obtain the radiation transport characteristics of the entire high-capacity interruption process.
[0124] Based on the radiation model iteratively validated in step S5, the radiation characteristics at different moments during the entire opening process of the high-voltage gas circuit breaker, as well as the evolution of radiation power over time, can be obtained. Typical results are as follows: Figure 10 and Figure 11 As shown.
[0125] Those skilled in the art will understand that embodiments of the present invention can be provided as methods, systems, or computer program products. Therefore, the present invention can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present invention can take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, read-only optical discs, optical storage, etc.) containing computer-usable program code.
[0126] This invention is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, generate instructions for implementing the flowchart illustrations and / or block diagrams. Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.
[0127] These computer program instructions may also be stored in a computer-readable storage medium that can direct a computer or other programmable data processing device to function in a particular manner, such that the instructions stored in the computer-readable storage medium produce an article of manufacture including instruction means, which are implemented in a process Figure 1 One or more processes and / or boxes Figure 1 The function specified in one or more boxes.
[0128] These computer program instructions may also be loaded onto a computer or other programmable data processing equipment to cause a series of operational steps to be performed on the computer or other programmable equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable equipment for implementing the process. Figure 1 One or more processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.
[0129] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and not to limit it. Although the present invention has been described in detail with reference to the above embodiments, those skilled in the art should understand that modifications or equivalent substitutions can still be made to the specific implementation of the present invention. Any modifications or equivalent substitutions that do not depart from the spirit and scope of the present invention should be covered within the protection scope of the present invention.
Claims
1. A method for solving discrete coordinate radiation transport in environmentally friendly gas arcs, characterized in that, Includes the following steps: S1. Obtain the atomic and molecular spectral data of the environmentally friendly gas, calculate the arc line spectrum and continuous spectrum of the environmentally friendly gas from the atomic and molecular spectral data, and obtain the total fine spectrum of the environmentally friendly gas arc based on the arc line spectrum and continuous spectrum of the environmentally friendly gas arc. S2. Based on Kirchhoff's laws, establish the relationship between the emission spectrum and the absorption spectrum of the total fine spectrum of the environmental gas arc to obtain the fine spectrum absorption coefficient. S3. Calculate the Planck-Rossland average absorption coefficient for multi-band mixing of gas arc based on the fine spectral absorption coefficient. S4. Establish a multi-band radiation transport model based on the discrete coordinate method, use the Planck-Rossland coefficients of the gas arc multi-band mixture as input parameters of the discrete coordinate method, solve the multi-band radiation transport equation based on the discrete coordinate method, and obtain the radiation transport simulation results. S5. Conduct an opening and closing experiment to verify the multi-band radiation transport model based on the discrete coordinate method, obtain the experimental verification results, compare the experimental verification results with the radiation transport simulation results, and obtain the average error. If the average error is less than the threshold, the multi-band radiative transport equation based on the discrete coordinate method, which has been iteratively verified, is obtained. If the average error is greater than the threshold, return to S3; S6. Based on the iteratively verified multi-band radiation transport equation based on the discrete coordinate method, obtain the radiation characteristics at different times during the entire process of high-voltage gas circuit breaker opening, as well as the evolution characteristics of radiation power over time, and complete the discrete coordinate radiation transport solution for environmental gas arc.
2. The method for solving the discrete coordinate radiation transport of an environmentally friendly gas arc according to claim 1, characterized in that, The calculation of the environmentally friendly gas arc line spectrum and the environmentally friendly gas arc continuous spectrum from the atomic and molecular spectral data of the environmentally friendly gas includes: The electric arc spectrum of environmentally friendly gases is calculated using the formula for calculating the electric arc spectrum of environmentally friendly gases based on the atomic and molecular spectral data of environmentally friendly gases. The formula for calculating the arc spectrum of the environmentally friendly gas is as follows: in, This represents the arc spectrum of environmentally friendly gases. h It is Planck's constant, where c represents the speed of light. represent u energy level to l The wavelength produced by energy level transitions It is the Einstein coefficient. Representing energy level u The number density of atoms, ions, or molecules on the surface. It is the outline of the spectral lines; The continuous spectrum of environmentally friendly gas is calculated using the formula for calculating the continuous spectrum of environmentally friendly gas arc using atomic and molecular spectral data. The formula for calculating the continuous spectrum of environmentally friendly gas arc considers both composite radiation and bremsstrahlung radiation. The formula for calculating the continuous spectrum of the environmentally friendly gas arc is as follows: in, This represents the continuous spectrum of an environmentally friendly gas arc considering combined radiation. Indicates wavelength. It is the temperature of the electrons. It is electronic quality. It is electron charge. It is the dielectric constant. It is Boltzmann's constant. It's temperature. It is electron density. It is the number density of particle i. It is the photoionization section or the photodissociation section; This represents the continuous spectrum of an environmentally friendly gas arc considering bremsstrahlung radiation, where z is the charge number. It is the free-free Gaunt factor.
3. The method for solving discrete coordinate radiation transport of environmentally friendly gas arcs according to claim 1, characterized in that, The total fine spectrum of the environmentally friendly gas arc is the sum of the environmentally friendly gas arc line spectrum and the environmentally friendly gas arc continuous spectrum.
4. The method for solving discrete coordinate radiation transport of environmentally friendly gas arcs according to claim 1, characterized in that, The relationship between the emission spectrum and the absorption spectrum is shown in the following formula: in, It is the spectral emissivity. It is the fine spectral absorption coefficient. It is the Planck function.
5. The method for solving discrete coordinate radiation transport of environmentally friendly gas arcs according to claim 1, characterized in that, The Planck-Rossland average absorption coefficient of the gas arc multi-band mixing system is calculated using the following formula: in, This represents the average absorption coefficient of the Planck-Rossland mixture. This represents the Planck average absorption coefficient. This represents the Rossland average absorption coefficient, where n represents the number of frequency band divisions. It is the fine spectral absorption coefficient. It is the Planck function.
6. The method for solving the discrete coordinate radiation transport of an environmentally friendly gas arc according to claim 5, characterized in that, The simulation results of radiation transport include net radiation power, as shown in the following formula: in, It is net radiated power. It is radiation flux. It is the Planck function of the nth frequency band. It is the weighting factor in the k-th direction. It is point r along the direction Frequency is spectral radiance, This represents the average absorption coefficient of the Planck-Rossland mixture, where n represents... The number of spectral bands, It is the wavelength interval of the nth frequency band.
7. The method for solving discrete coordinate radiation transport of environmentally friendly gas arcs according to claim 1, characterized in that, The breaking test verification in S5 includes high-capacity breaking test verification of high-voltage gas circuit breakers under high-capacity breaking conditions, using radiated power, arc power, and pressure increment. Specifically, breaking tests at different current levels are conducted on a real-structure circuit breaker prototype. Radiated power is measured using a fast-response thermopile sensor, arc power is obtained using a high-voltage probe and Rogowski coil, and pressure increment is measured using a pressure sensor.
8. An environmentally friendly discrete coordinate radiation transport solution system for gas arcs, characterized in that, include: The module for obtaining the total fine spectrum of environmentally friendly gas electric arc is used to acquire atomic and molecular spectral data of environmentally friendly gas, calculate the line spectrum and continuous spectrum of environmentally friendly gas electric arc from the atomic and molecular spectral data, and obtain the total fine spectrum of environmentally friendly gas electric arc based on the line spectrum and continuous spectrum of environmentally friendly gas electric arc. The module for obtaining the fine spectral absorption coefficient is used to obtain the fine spectral absorption coefficient by establishing the relationship between the emission spectrum and the absorption spectrum based on Kirchhoff's law for the total fine spectrum of environmental gas arcs. The average absorption coefficient calculation module is used to calculate the Planck-Rossland average absorption coefficient for multi-band mixing of gas arcs based on the fine spectral absorption coefficient. The radiation transport simulation module is used to establish a multi-band radiation transport model based on the discrete coordinate method. The Planck-Rossland coefficients of the gas arc multi-band mixture are used as input parameters of the discrete coordinate method to solve the multi-band radiation transport equation based on the discrete coordinate method and obtain the radiation transport simulation results. The breaking experiment verification module is used to perform breaking experiments on the multi-band radiation transport model based on the discrete coordinate method, obtain experimental verification results, compare the experimental verification results with the radiation transport simulation results, and obtain the average error. If the average error is less than the threshold, the multi-band radiative transport equation based on the discrete coordinate method, which has been iteratively verified, is obtained. If the average error is greater than the threshold, return to the average absorption coefficient calculation module; The module for solving discrete coordinate radiation transport in environmentally friendly gas arcs is used to obtain the radiation characteristics at different times during the entire opening process of a high-voltage gas circuit breaker, as well as the evolution characteristics of radiation power over time, based on the iteratively verified multi-band radiation transport equation using the discrete coordinate method, and to complete the discrete coordinate radiation transport solution for environmentally friendly gas arcs.
9. An electronic device, characterized in that, The method includes a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, it implements the environmentally friendly gas arc discrete coordinate radiation transport solution method as described in any one of claims 1-7.
10. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores a computer program that, when executed by a processor, implements the environmentally friendly gas arc discrete coordinate radiation transport solution method as described in any one of claims 1-7.