Method and system for acquiring spatial characteristic parameters of instability of magnetic confinement plasma

By using spectral analysis of single-channel diagnostic signals and electromagnetic wave scattering methods, the spatial characteristic parameters of magnetically confined plasma instability are directly calculated, solving the problems of large data volume and cumbersome processing in traditional methods, and achieving efficient and simplified parameter acquisition.

CN122045767APending Publication Date: 2026-05-15SOUTHWESTERN INST OF PHYSICS
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Patent Information

Application Number
CN202610116631.2
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2026-01-28
Publication Date
2026-05-15

AI Technical Summary

Technical Problem

Traditional methods require diagnostic data from multiple spatial locations and complex signal processing algorithms to obtain spatial characteristic parameters of magnetically confined plasma instability, resulting in large data volumes, high diagnostic requirements, and cumbersome processing.

Method used

By analyzing the spectrum of a single-channel diagnostic signal and utilizing the inherent mathematical relationship between the unstable harmonic frequency and the circumferential rotation frequency, the circumferential modulus is directly calculated. Combined with the electromagnetic wave scattering method, the poloidal and radial wavenumbers are obtained, simplifying the data processing flow.

Benefits of technology

It significantly reduces the reliance on multi-channel diagnostic systems and complex signal processing, simplifies the data acquisition process, improves analysis efficiency, and provides technical feasibility for real-time monitoring of plasma instability.

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Abstract

The invention discloses a magnetic confinement plasma instability spatial characteristic parameter acquisition method and system, and relates to the technical field of magnetic confinement nuclear fusion plasma diagnosis. The method comprises the following steps: collecting a diagnosis signal containing instability fluctuation information; performing spectral analysis on the signal to identify and extract a fundamental frequency and at least one harmonic frequency corresponding to instability; acquiring the circumferential rotation frequency of the plasma; based on the fundamental wave frequency, the harmonic wave frequency and the circumferential rotation frequency, an unstable circumferential modulus is obtained through calculation. According to the method, the internal mathematical relationship between the unstable harmonic frequency and the circumferential rotation frequency in the single-channel diagnosis signal is utilized, and the circumferential modulus can be directly obtained only by executing spectrum analysis and simple operation, so that the dependence of a traditional method on a multi-channel diagnosis system and a complex signal processing algorithm is effectively overcome; the diagnosis complexity and the data processing burden are remarkably reduced, and a new way is provided for convenient and efficient research on plasma instability.
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Description

Technical Field

[0001] This application relates to the field of magnetically confined plasma instability diagnosis, specifically to a method and system for obtaining spatial characteristic parameters of magnetically confined plasma instability. Background Technology

[0002] Magnetic confinement plasmas can exhibit instabilities due to inhomogeneities in plasma parameters, which can disrupt plasma confinement and even lead to plasma collapse. The plasma modulus and wavenumber are important indicators describing plasma instabilities. To study and control plasma instabilities in depth, it is necessary to utilize various diagnostic data to obtain information on the modulus and wavenumber of plasma instabilities.

[0003] Traditional methods utilize spatially discrete diagnostics to obtain phase data at different spatial locations and perform phase analysis to obtain the modulus. For example, polar / circular moduli (m / n) can be obtained using discrete Mirnov probes, or polar moduli can be obtained through tomographic inversion of soft X-ray signals. Both methods require spectral analysis of the signal to identify instabilities, followed by filtering, and then analysis of the filtered multichannel signal. The shortcomings of traditional methods are:

[0004] 1. It requires diagnostic data from multiple different spatial locations, resulting in a large amount of data and high diagnostic requirements.

[0005] 2. The signal needs to be filtered, and there are certain requirements for the filter.

[0006] 3. Data processing methods are relatively cumbersome. For example, the tomographic inversion algorithms for soft X-ray signals include Abelian inversion, Fourier-Bessel expansion, regularization methods, Bayesian probabilistic methods, etc.

[0007] To facilitate quick and easy determination of plasma instability moduli, a new and more convenient method for moduli determination is needed. This is one of the problems that this application addresses. Plasma instability moduli typically correspond one-to-one with wavenumbers; for example, the circumferential modulus *n* corresponds to the circumferential wavenumber *n*. The poloidal modulus m corresponds to the poloidal wavenumber. However, instability also exists in the radial wavenumber. , is used to describe the radial variation scale of instability.

[0008] Traditional methods utilize multi-channel radial discrete local diagnostics, such as beam emission spectrum diagnostics, for analysis. The drawback of this method is that it requires multiple channels, and the measurement positions between each channel cannot be too far apart; otherwise, the radial wavenumber of instability cannot be effectively obtained. Summary of the Invention

[0009] This application provides a method for obtaining spatial characteristic parameters of magnetically confined plasma instability, which solves the technical problem of traditional methods relying on multi-channel diagnostic data and complex signal processing algorithms.

[0010] This application is achieved through the following technical solution:

[0011] In a first aspect, this application provides a method for obtaining spatial characteristic parameters of magnetically confined plasma instabilities, comprising the following steps:

[0012] Diagnostic signals are acquired from magnetically confined plasma, the diagnostic signals containing fluctuation information caused by plasma instability;

[0013] The diagnostic signal is subjected to spectral analysis to generate a power spectrum, and the fundamental frequency and at least one harmonic frequency corresponding to the instability are identified and extracted from the power spectrum.

[0014] Obtain the circumferential rotation frequency of the magnetically confined plasma under the current operating conditions;

[0015] Based on the fundamental frequency, the harmonic frequency, and the circumferential rotation frequency, the circumferential modulus of instability is calculated.

[0016] A further optimization is that the harmonic frequency is the second harmonic frequency in the power spectrum.

[0017] A further optimized scheme, after calculating the circumferential modulus of magnetically confined plasma instability based on the fundamental frequency, the harmonic frequency, and the circumferential rotation frequency, further includes the following steps:

[0018] Determine the safety factor for the location of the instability mode on the magnetic surface;

[0019] The polar modulus of instability is calculated based on the safety factor and the circumferential modulus.

[0020] A further optimization is that the diagnostic signal comes from a single-channel diagnostic probe.

[0021] A further optimization is to use a magnetic perturbation probe for the single-channel diagnostic probe.

[0022] The further optimized solution also includes the following steps:

[0023] Determine the poloidal wave number of the instability of the magnetically confined plasma;

[0024] Electromagnetic waves are emitted into the magnetically confined plasma and their scattered signals are received, wherein the electromagnetic waves are incident on the plasma at a specific angle.

[0025] According to the Bragg condition in plasma scattering theory, the vertical wavenumber is determined by the incident wavenumber and the incident angle of the electromagnetic wave.

[0026] Based on the geometric relationship between the vertical wavenumber and the poloidal wavenumber, the radial wavenumber of the instability is calculated.

[0027] A further optimization scheme is that the poloidal wavenumber Determined in the following ways:

[0028] ;

[0029] In the formula, m is the poloidal modulus and r is the radius of the location of the instability.

[0030] A further optimized solution is that the electromagnetic wave is a microwave.

[0031] Secondly, this application provides a system for obtaining spatial characteristic parameters of magnetically confined plasma instabilities, used to implement the method for obtaining spatial characteristic parameters of magnetically confined plasma instabilities as described above; the system includes:

[0032] A diagnostic signal acquisition module is used to acquire diagnostic signals from magnetically confined plasma, the diagnostic signals containing fluctuation information caused by plasma instability;

[0033] The spectrum analysis module is communicatively connected to the diagnostic signal acquisition module and is used to perform spectrum analysis on the diagnostic signal, generate a power spectrum, and identify and extract the fundamental frequency and at least one harmonic frequency corresponding to the instability from the power spectrum.

[0034] The rotation frequency acquisition module is used to acquire the circumferential rotation frequency of the magnetically confined plasma under the current operating conditions.

[0035] The circumferential modulus acquisition module is communicatively connected to the spectrum analysis module and the rotational frequency acquisition module, and is used to calculate the circumferential modulus of instability based on the fundamental frequency, the harmonic frequency and the circumferential rotational frequency.

[0036] Thirdly, this application provides a computer-readable storage medium storing a program for acquiring spatial characteristic parameters of magnetically confined plasma instability, wherein when the program is executed by a processor, it implements the steps of the method for acquiring spatial characteristic parameters of magnetically confined plasma instability as described above.

[0037] Compared with the prior art, this application has the following advantages and beneficial effects:

[0038] By utilizing the inherent mathematical relationship between the unstable harmonic frequencies and the circumferential rotational frequencies in a single-channel diagnostic signal, the circumferential modulus can be calculated directly and quickly by performing only spectrum analysis, frequency identification, and simple algebraic operations. This significantly reduces the reliance on complex multi-channel diagnostic systems and cumbersome signal processing algorithms. While ensuring the accuracy of the results, it greatly simplifies the data acquisition process, improves analysis efficiency, and provides technical feasibility for real-time monitoring of plasma instability. Attached Figure Description

[0039] To more clearly illustrate the technical solutions of the exemplary embodiments of this application, the accompanying drawings used in the embodiments will be briefly described below. It should be understood that the following drawings only show some embodiments of this application and should not be considered as a limitation of the scope. For those skilled in the art, other related drawings can be obtained based on these drawings without creative effort. In the drawings:

[0040] Figure 1 A flowchart of a method for obtaining spatial characteristic parameters of magnetically confined plasma instability provided in an embodiment of this application;

[0041] Figure 2 The time spectrum of the magnetic confinement plasma diagnostic signal provided in the embodiments of this application;

[0042] Figure 3 A spectral comparison between the microwave wavenumber determination device and the soft X-ray diagnostic device in magnetically confined plasma provided in the embodiments of this application;

[0043] Figure 4 A functional block diagram of the spatial characteristic parameter acquisition system for magnetically confined plasma instability provided in this application embodiment. Detailed Implementation

[0044] To make the objectives, technical solutions, and advantages of this application clearer, the following detailed description is provided in conjunction with the embodiments and accompanying drawings. The illustrative embodiments and descriptions of this application are only for explaining this application and are not intended to limit this application.

[0045] First, some of the technical terms used in this application will be explained to help those skilled in the art understand this application.

[0046] CXRS: Charge Exchange Recombination Spectroscopy;

[0047] FFT: Fast Fourier Transform;

[0048] EFIT: Equilibrium Fitting, the code for equilibration inversion.

[0049] This application provides a method for obtaining spatial characteristic parameters of magnetically confined plasma instabilities. The spatial characteristic parameters include the circumferential modulus. Polar modulus m, circumferential wavenumber Polar wavenumber and radial wavenumber The core of this method lies in utilizing the inherent mathematical relationship between the unstable harmonic frequencies and the circumferential rotational frequencies in a single-channel diagnostic signal. Through spectral analysis and simple algebraic operations, the aforementioned parameters are directly calculated, thereby overcoming the dependence of traditional methods on multi-channel diagnostic systems and complex signal processing algorithms.

[0050] Firstly, such as Figure 1 As shown, this application provides a method for obtaining spatial characteristic parameters of magnetically confined plasma instability, including the following steps:

[0051] Step S1: Acquire diagnostic signals from magnetically confined plasma, the diagnostic signals containing fluctuation information generated by plasma instability;

[0052] Step S2: Perform spectral analysis on the diagnostic signal to generate a power spectrum, and identify and extract the fundamental frequency and at least one harmonic frequency corresponding to the instability from the power spectrum;

[0053] Step S3: Obtain the circumferential rotation frequency of the magnetically confined plasma under the current operating conditions;

[0054] Step S4: Calculate the circumferential modulus of instability based on the fundamental frequency, the harmonic frequency and the circumferential rotation frequency.

[0055] This embodiment establishes a direct and efficient method for calculating the circumferential modulus by leveraging the intrinsic mathematical relationship between the instability harmonic frequencies and the plasma circumferential rotation frequency (f_vφ) in the single-channel diagnostic signal spectrum. This effectively overcomes the dependence of traditional methods on multi-channel diagnostic systems and complex signal processing. This method significantly reduces the complexity and cost of the diagnostic system, simplifies the data acquisition process, improves analysis efficiency, and provides technical feasibility for real-time monitoring of plasma instability. Simultaneously, it avoids the problems of high computational load in filter design and inversion algorithms found in traditional methods.

[0056] In one embodiment, step S1: acquiring diagnostic signals from magnetically confined plasma, the diagnostic signals containing fluctuation information generated by plasma instability, specifically includes the following steps:

[0057] Single-channel diagnostic equipment, such as Mirnov probes, soft X-ray diagnostic equipment, microwave scattering diagnostic equipment, electron cyclotron radiation diagnostic equipment, or laser scattering diagnostic equipment, is configured. The selection criterion is that the equipment must be able to observe the harmonic structure (such as fundamental wave, second harmonic, etc.) of plasma instability in the spectrum. During the discharge process of a magnetic confinement fusion device (such as a tokamak), the diagnostic signals are acquired in real time by the single-channel diagnostic equipment. The signals are recorded in time series form, and the sampling frequency is set to no less than 1 MHz to ensure sufficient coverage of the frequency range where instability may occur (such as kilohertz to hundreds of kilohertz) and avoid frequency aliasing. The diagnostic signals come only from a single-channel diagnostic probe (such as a single Mirnov magnetic perturbation probe), without relying on a multi-channel array, thereby simplifying the system architecture and reducing the data volume requirements.

[0058] This embodiment captures unstable harmonic characteristics through a single-channel signal, providing a foundation for subsequent spectrum analysis and analog-to-digital calculations, demonstrating the advantages of this invention in reducing diagnostic complexity and improving data acquisition efficiency.

[0059] In one embodiment, step S2: performing spectral analysis on the diagnostic signal to generate a power spectrum, and identifying and extracting the fundamental frequency and at least one harmonic frequency corresponding to the instability from the power spectrum, specifically includes the following steps:

[0060] Step S21: Perform a Fast Fourier Transform (FFT) on the acquired single-channel time-domain diagnostic signal to convert it into a frequency-domain representation, thereby generating a power spectrum containing information about the signal energy distribution with frequency. This spectrum clearly reveals a series of discrete frequency peaks excited by plasma instabilities. Among them, the peak with significant energy and usually the lowest frequency is identified as the fundamental frequency. This corresponds to the dominant mode of unstable oscillations; peaks with equal intervals that appear near integer multiples of the fundamental frequency are successively identified as second harmonic frequencies. Third harmonic frequency These harmonics are direct evidence that nonlinear effects produce harmonic components;

[0061] Step S22: Extract the values ​​of the fundamental frequency and at least one harmonic frequency from the power spectrum using a spectral peak detection algorithm (such as automated local maximum search) or combined with manual interpretation of the spectral morphology. The reliability of this identification process directly depends on the resolution and signal-to-noise ratio of the spectrum. Therefore, a sufficiently high sampling frequency (e.g., ≥1 MHz) set in step S1 is a key prerequisite for ensuring the accuracy of frequency extraction. Specifically, the extraction of the fundamental frequency and at least one harmonic frequency is achieved by automatically or manually locating significant peaks in the spectrum using a spectral peak detection algorithm (such as local maximum search). Fundamental frequency This typically corresponds to the low-frequency peak with the highest energy, while harmonic frequencies... , These appear sequentially near multiples of the fundamental frequency. For example, in... Figure 2 In the time spectrum of the magnetic confinement plasma diagnostic signal shown in the figure, , and These are the fundamental frequency, second harmonic frequency, and third harmonic frequency of instability in plasma, respectively. , and The fact that they are clearly distinguishable indicates that the instability has a harmonic structure.

[0062] In one embodiment, step S3: obtaining the circumferential rotation frequency of the magnetically confined plasma under the current operating conditions specifically includes the following steps:

[0063] A CXRS system is deployed during the discharge of a tokamak device. This system consists of a neutral beam injector for exciting the charge-exchange reaction, an optical system (such as lenses and optical fibers) for collecting the light signal, and a high-resolution spectrometer (such as a grating spectrometer) for dispersion. During measurement, high-energy neutral particles injected by the neutral beam undergo a charge-exchange reaction with ions in the plasma (e.g., carbon ions), exciting them and causing them to emit specific spectral lines (e.g., CVI 529.1 nm). The optical system collects the emitted light from this spectral line and transmits it to the spectrometer, which records the distribution of spectral line intensity with wavelength at a high sampling rate (typically thousands of frames per second).

[0064] After obtaining the raw spectrum, it is preprocessed, including background subtraction, baseline correction and smoothing filtering, to improve the signal-to-noise ratio;

[0065] Gaussian or Lorentz fitting is performed on the target spectral profile to accurately determine its center wavelength. and the stationary reference wavelength of this spectral line. Compare and calculate the Doppler frequency shift ;

[0066] Based on Doppler frequency shift and ion circumferential velocity relational formula (where c is the speed of light), from which it can be deduced ;

[0067] The large radius R of the plasma can be obtained from the device's geometric parameters or EFIT equilibrium inversion. Combined with the large radius R of the plasma, the formula can be used to... The circumferential rotational frequency is calculated. For example, if the measured... =105m / s, and R=2m, then This method has high temporal and spatial resolution, providing accurate and dynamic rotational frequency inputs for subsequent instability modulus calculations, and does not rely on multi-channel phase analysis, significantly simplifying the diagnostic process.

[0068] In one embodiment, to verify the reliability of the circumferential modulus n calculated in step S4, cross-validation can be performed using frequency data containing higher harmonics. Specifically, after the fundamental frequency has been identified... and second harmonic frequency Based on this, the third harmonic frequency is further extracted from the same power spectrum. Based on the physical relationship between Doppler frequency shift and harmonic order, and through the formula... Recalculate the circumferential modulus. Compare this result with the previous one based on... and The results are compared for consistency: if the two results remain consistent within a preset error tolerance (e.g., relative deviation less than 5%), the results can be considered reliable. This verification method utilizes the inherent constraints between harmonics to enhance the robustness and reliability of parameter extraction.

[0069] In one embodiment, to verify the reliability of the circumferential modulus n calculated in step S4, cross-validation can be performed using frequency data containing higher harmonics. Specifically, based on the identified fundamental frequency f1 and second harmonic frequency f2, the third harmonic frequency f3 is further extracted from the same power spectrum, and based on the physical relationship between Doppler frequency shift and harmonic order, the value is determined using the formula... The circumferential modulus is recalculated. This result is then compared with the previous results based on f1 and f2. If both remain consistent within a preset error tolerance (e.g., relative deviation less than 5%), the result is considered reliable. This verification method utilizes the inherent constraints between harmonics to enhance the robustness and reliability of parameter extraction.

[0070] Based on the circumferential modulus n obtained by the method of this invention, other spatial characteristic parameters of instability can be further obtained; specifically:

[0071] The radial location of the instability in the plasma and its safety factor q are determined by combining EFIT equilibrium inversion, and then the relationship is established. The polar modulus m is calculated.

[0072] Based on the circumferential modulus n, the poloidal modulus m, and plasma geometric parameters, through the definition... and Calculate the circumferential wavenumber separately and polar wave number , where R is the plasma radius and r is the radial position of the instability.

[0073] To further obtain the radial wavenumber Microwave scattering can be used for diagnosis: microwaves of a specific frequency are emitted into the plasma and incident at an angle α. Based on the Bragg condition for coherent scattering, the vertical wavenumber is determined from the incident wavenumber ki. Then, by utilizing the geometric relationship between the vertical wavenumber, the poloidal wavenumber, and the radial wavenumber... The radial wavenumber was derived. If the scattered signal originates from the Nth harmonic of the unstable fundamental wave, the calculated value needs to be... Divide by N to obtain the correct radial wavenumber of the fundamental wave. By repeating this process, the correct radial wavenumber can be obtained. The changing patterns over time provide crucial data for the study of the dynamic evolution of instability.

[0074] Thus, the method for obtaining spatial characteristic parameters of magnetically confined plasma instability provided in this application can systematically obtain a complete set of spatial characteristic parameters characterizing magnetically confined plasma instability, including circumferential modulus n, poloidal modulus m, and circumferential wavenumber. Polar wavenumber and radial wavenumber .

[0075] This invention simplifies the acquisition process of modulus and wavenumber by utilizing the inherent mathematical relationship between instability harmonic frequencies and circumferential rotational frequencies in a single-channel diagnostic signal. Specifically, firstly, it directly calculates the circumferential modulus from the single-channel diagnostic signal and the harmonic frequency relationship, reducing reliance on multi-channel diagnostic systems and overall diagnostic complexity; secondly, it achieves single-channel measurement of radial wavenumber using electromagnetic wave scattering methods, avoiding the complex processing of traditional cross-correlation spectrum analysis. This method requires only a single-channel signal to acquire a complete set of spatial characteristic parameters, significantly reducing the complexity, cost, and data processing burden of the diagnostic system, providing a new approach for convenient and efficient research on plasma instability.

[0076] To illustrate the application scenarios and implementation details of the present invention, the following description is provided in conjunction with specific embodiments.

[0077] Example 1:

[0078] This embodiment specifically illustrates how to rapidly obtain the circumferential modulus n of plasma instability by utilizing the spectral characteristics of a single-channel diagnostic signal (taking the Mirnov probe signal as an example, but not limited to this) in conjunction with the plasma circumferential rotation frequency. Unlike traditional methods that rely on multi-probe arrays for modulus analysis, this invention innovatively completes this process through single-channel signal analysis, significantly simplifying diagnostic configuration. To clearly illustrate the implementation process of this method, the specific operation steps will be explained step by step below:

[0079] 1. Data Acquisition: During the discharge process of the tokamak device, a single-channel Mirnov probe is used to acquire magnetic perturbation signals at the plasma edge. These signals are recorded as a time series, and the sampling frequency must be sufficiently high (e.g., above 1 MHz) to cover the instability frequency range.

[0080] 2. Spectrum Analysis: Perform a Fast Fourier Transform (FFT) on the acquired Mirnov signal to obtain the power spectrum. For example... Figure 2 As shown, the instability fundamental frequency is observed in the spectrum. (e.g., 50 kHz), second harmonic frequency (e.g., 100kHz) and third harmonic frequency (For example, 150 kHz). These harmonic frequencies are clearly visible, indicating that the instability exhibits a harmonic structure in the spectrum;

[0081] 3. Obtaining the circumferential rotation frequency: Simultaneously, the circumferential rotation frequency of the plasma is measured using charge exchange spectrum diagnostics (CXRS). Assuming that in this discharge, CXRS measures = 10 kHz;

[0082] Calculate the circumferential module n: According to the formula proposed in this invention, the circumferential module n... Substituting the values: n = (100 kHz - 50 kHz) / 10 kHz = 5. Therefore, the cyclic modulus n of this instability is 5;

[0083] 4. Verification and Processing: To confirm the reliability of the results, higher harmonics can be checked. For example, using... and calculate: The results were consistent. This indicates that the method of the present invention can accurately obtain the circumferential modulus with only a single-channel signal, without the need for the complex phase analysis of traditional multi-channel arrays.

[0084] This embodiment requires only a single channel diagnostic signal, reducing the complexity and cost of the diagnostic system. Data processing is simple and fast, eliminating the need for signal filtering or tomographic inversion, thus avoiding the problems of filter design and computationally intensive inversion algorithms in traditional methods. This method is suitable for instabilities with rapidly changing frequencies because the harmonic frequency relationship always holds, eliminating the need to adjust the filtering range.

[0085] This embodiment demonstrates that the circumferential modulus n=5 was successfully obtained using the single-channel signal and harmonic analysis method, verifying the effectiveness of the method in simplifying diagnostic configuration.

[0086] Example 2:

[0087] This embodiment illustrates how to use an electromagnetic wave scattering diagnostic device, combined with instability harmonic information, to obtain the radial wavenumber of plasma instability. Traditional methods require multiple radially discrete diagnostic channels (such as beam emission spectra), but this invention only requires a single-channel microwave scattering signal. The specific implementation steps are as follows:

[0088] 1. Experimental Setup: Install an electromagnetic wave (microwave band, for example) scattering diagnostic system within the tokamak device. For example... Figure 3 As shown, the microwave source transmits at a frequency of 50 GHz (corresponding to the incident wavenumber). Where λ is the wavelength, calculated as follows The electromagnetic wave incident on the plasma is at an angle α = 30° to the magnetic surface where the plasma instability is located. The receiver detects the scattered signal.

[0089] 2. Data Acquisition and Spectrum Analysis: Time-domain data of the microwave scattering signal was acquired, and a power spectrum was generated. Simultaneously, for comparison, the spectrum of the soft X-ray diagnostic signal was acquired. For example... Figure 2 As shown, in the soft X-ray spectrum, the intensity of unstable harmonics decreases with increasing frequency (fundamental wave). Second harmonic (The intensity is relatively low). However, a significant peak appears at approximately 100 kHz (25th harmonic) in the microwave scattering spectrum, indicating that coherent scattering occurred and enhanced this harmonic;

[0090] 3. Determine the vertical wavenumber According to the Bragg condition, coherent scattering satisfies Substitute the values: ;

[0091] 4. Obtaining the polar wavenumber Using the method in Example 1, the poloidal mode m = 1 of the unstable fundamental wave is obtained. Assuming the instability location r = 0.05 m, the fundamental wave's poloidal wavenumber is... For the 25th harmonic, its poloidal wave number is... (Because the harmonic order increases, the wave number increases proportionally.)

[0092] 5. Calculate the radial wavenumber. Vertical wavenumber With polar wave number and radial wavenumber The relationship is Therefore, for the 25th harmonic, Then the radial wavenumber of the fundamental wave... 25 represents the harmonic order;

[0093] 6. Time Evolution Analysis: Repeating the above steps to analyze different time points yields the radial wavenumber. The pattern of change over time, such as Figure 3 The mid-spectrum changes over time are shown.

[0094] Secondly, such as Figure 4 As shown, this application provides a system for obtaining spatial characteristic parameters of magnetically confined plasma instabilities, used to implement the method for obtaining spatial characteristic parameters of magnetically confined plasma instabilities as described above; the system includes:

[0095] The diagnostic signal acquisition module 100 is used to acquire diagnostic signals from magnetically confined plasma, the diagnostic signals containing fluctuation information generated by plasma instability;

[0096] The spectrum analysis module 200 is communicatively connected to the diagnostic signal acquisition module 100 and is used to perform spectrum analysis on the diagnostic signal, generate a power spectrum, and identify and extract the fundamental frequency and at least one harmonic frequency corresponding to the instability from the power spectrum.

[0097] The rotation frequency acquisition module 300 is used to acquire the circumferential rotation frequency of the magnetically confined plasma under the current operating conditions.

[0098] The circumferential modulus acquisition module 400 is communicatively connected to the spectrum analysis module 200 and the rotation frequency acquisition module 300, and is used to calculate the circumferential modulus of instability based on the fundamental frequency, the harmonic frequency and the circumferential rotation frequency.

[0099] The functions of each module in the above-mentioned system for obtaining spatial characteristic parameters of magnetically confined plasma instability correspond to the steps in the above-mentioned method for obtaining spatial characteristic parameters of magnetically confined plasma instability. Their functions and implementation processes will not be described in detail here.

[0100] Thirdly, embodiments of this application provide a device for acquiring spatial characteristic parameters of magnetically confined plasma instability. The device for acquiring spatial characteristic parameters of magnetically confined plasma instability can be a personal computer (PC), a laptop computer, a server, or other device with data processing capabilities.

[0101] In this embodiment, the device for acquiring spatial characteristic parameters of magnetically confined plasma instability may include a processor, a memory, a communication interface, and a communication bus.

[0102] The communication bus can be of any type and is used to interconnect the processor, memory, and communication interface.

[0103] The communication interface includes input / output (I / O) interfaces, physical interfaces, and logical interfaces for interconnecting devices within the equipment used to acquire spatial characteristic parameters of magnetically confined plasma instabilities, as well as interfaces for interconnecting the equipment with other devices (such as other computing devices or user equipment). Physical interfaces can be Ethernet interfaces, fiber optic interfaces, ATM interfaces, etc.; user equipment can be displays, keyboards, etc.

[0104] Memory can be various types of storage media, such as random access memory (RAM), read-only memory (ROM), non-volatile RAM (NVRAM), flash memory, optical storage, hard disk, programmable ROM (PROM), erasable PROM (EPROM), electrically erasable PROM (EEPROM), etc.

[0105] The processor can be a general-purpose processor, which can call a program for obtaining spatial characteristic parameters of magnetically confined plasma instabilities stored in memory and execute the method for obtaining spatial characteristic parameters of magnetically confined plasma instabilities provided in the embodiments of this application. For example, the general-purpose processor can be a central processing unit (CPU). The method executed when the program for obtaining spatial characteristic parameters of magnetically confined plasma instabilities is called can refer to the various embodiments of the method for obtaining spatial characteristic parameters of magnetically confined plasma instabilities in this application, and will not be repeated here.

[0106] Fourthly, embodiments of this application also provide a readable storage medium.

[0107] This application stores a program for obtaining spatial characteristic parameters of magnetically confined plasma instability on a readable storage medium. When the program is executed by a processor, it implements the steps of the method for obtaining spatial characteristic parameters of magnetically confined plasma instability as described above.

[0108] The method implemented when the spatial characteristic parameter acquisition program for magnetically confined plasma instability is executed can be referred to in various embodiments of the spatial characteristic parameter acquisition method for magnetically confined plasma instability of this application, and will not be repeated here.

[0109] The specific embodiments described above further illustrate the purpose, technical solution, and beneficial effects of this application. It should be understood that the above description is only a specific embodiment of this application and is not intended to limit the scope of protection of this application. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of this application should be included within the scope of protection of this application.

Claims

1. A method for obtaining spatial characteristic parameters of magnetically confined plasma instability, characterized in that, Includes the following steps: Diagnostic signals are acquired from magnetically confined plasma, the diagnostic signals containing fluctuation information caused by plasma instability; The diagnostic signal is subjected to spectral analysis to generate a power spectrum, and the fundamental frequency and at least one harmonic frequency corresponding to the instability are identified and extracted from the power spectrum. Obtain the circumferential rotation frequency of the magnetically confined plasma under the current operating conditions; Based on the fundamental frequency, the harmonic frequency, and the circumferential rotation frequency, the circumferential modulus of instability is calculated.

2. The method for obtaining spatial characteristic parameters of magnetically confined plasma instability according to claim 1, characterized in that, The harmonic frequency is the second harmonic frequency in the power spectrum.

3. The method for obtaining spatial characteristic parameters of magnetically confined plasma instability according to claim 1, characterized in that, After calculating the circumferential modulus of the magnetically confined plasma instability based on the fundamental frequency, the harmonic frequency, and the circumferential rotation frequency, the following steps are also included: Determine the safety factor for the location of the instability mode on the magnetic surface; The polar modulus of instability is calculated based on the safety factor and the circumferential modulus.

4. The method for obtaining spatial characteristic parameters of magnetically confined plasma instability according to claim 1, characterized in that, The diagnostic signal comes from a single-channel diagnostic probe.

5. The method for obtaining spatial characteristic parameters of magnetically confined plasma instability according to claim 4, characterized in that, The single-channel diagnostic probe is a magnetic perturbation probe.

6. The method for obtaining spatial characteristic parameters of magnetically confined plasma instability according to claim 3, characterized in that, It also includes the following steps: Determine the poloidal wave number of the instability of the magnetically confined plasma; Electromagnetic waves are emitted into the magnetically confined plasma and their scattered signals are received, wherein the electromagnetic waves are incident on the plasma at a specific angle. According to the Bragg condition in plasma scattering theory, the vertical wavenumber is determined by the incident wavenumber and incident angle of the electromagnetic wave. Based on the geometric relationship between the vertical wavenumber and the poloidal wavenumber, the radial wavenumber of the instability is calculated.

7. The method for obtaining spatial characteristic parameters of magnetically confined plasma instability according to claim 6, characterized in that, The polar wavenumber Determined in the following ways: ; In the formula, m is the poloidal modulus and r is the radius of the location of the instability.

8. The method for obtaining spatial characteristic parameters of magnetically confined plasma instability according to claim 6, characterized in that, The electromagnetic wave is a microwave.

9. A system for acquiring spatial characteristic parameters of magnetically confined plasma instabilities, characterized in that, A system for implementing the spatial characteristic parameters acquisition method for magnetically confined plasma instabilities according to any one of claims 1-8; the system comprises: A diagnostic signal acquisition module is used to acquire diagnostic signals from magnetically confined plasma, the diagnostic signals containing fluctuation information caused by plasma instability; The spectrum analysis module is communicatively connected to the diagnostic signal acquisition module and is used to perform spectrum analysis on the diagnostic signal, generate a power spectrum, and identify and extract the fundamental frequency and at least one harmonic frequency corresponding to the instability from the power spectrum. The rotation frequency acquisition module is used to acquire the circumferential rotation frequency of the magnetically confined plasma under the current operating conditions. The circumferential modulus acquisition module is communicatively connected to the spectrum analysis module and the rotational frequency acquisition module, and is used to calculate the circumferential modulus of instability based on the fundamental frequency, the harmonic frequency and the circumferential rotational frequency.

10. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores a program for acquiring spatial characteristic parameters of magnetically confined plasma instability, wherein when the program is executed by a processor, it implements the steps of the method for acquiring spatial characteristic parameters of magnetically confined plasma instability as described in any one of claims 1 to 8.