EAST Tokamak Electron Temperature Simulation with RF-Magnetic Coupling
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Solution Overview
Problem
Existing methods for measuring electron temperature distribution in EAST tokamak experiments suffer from low time accuracy and limited spatial resolution, hindering real-time monitoring and control of magnetohydrodynamic instability.
Innovation Solution
A simulation method for electron temperature evolution in a three-dimensional magnetic field configuration, utilizing a gaussian heating source model and electron heat transport equations, to achieve self-consistent nonlinear evolution of electron temperature distribution with high time accuracy and numerical stability.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If soft X-ray diagnostic equipment is used to measure electron temperature distribution, then spatial distribution information can be obtained, but time accuracy is limited and cannot meet real-time measurement demands
Solution Approach 1:
The patent creates a numerical simulation model that copies the physical tokamak system's behavior. The simulation reproduces the electron temperature evolution process by solving the electron heat transport equation with radiofrequency heating source terms, providing a virtual copy of the temperature distribution that evolves with high temporal resolution without the time limitations of physical measurements
Solution Approach 2:
The patent performs preliminary numerical calculations to establish the electron temperature evolution model before actual experiments. By pre-computing the temperature distribution using the simulation method with given magnetic field configurations and radiofrequency parameters, the system prepares high-time-accuracy temperature profiles in advance that can guide real-time control decisions
2Loss of time
If numerical simulation is performed to calculate three-dimensional electron temperature distribution, then time accuracy is improved, but calculation complexity increases
Solution Approach 1:
The patent segments the calculation process into distinct stages: (1) solving the electron heat transport equation for temperature distribution, (2) updating magnetic field configuration based on temperature changes, and (3) iterating the process. This segmentation allows each stage to be handled with appropriate numerical methods and reduces overall computational complexity while maintaining high time accuracy
Solution Approach 2:
The patent changes key parameters dynamically during simulation, including electron temperature Te, magnetic field configuration, and radiofrequency heating parameters. By using adaptive parameter updates and efficient numerical schemes for solving the heat transport equation with varying parameters, the method achieves high temporal resolution without excessive computational burden
3Reliability
If magnetic field configuration evolves with time, then realistic simulation is achieved, but coupling between temperature and magnetic field increases computational difficulty
Solution Approach 1:
The patent implements continuous coupling between temperature evolution and magnetic field configuration changes. The electron heat transport equation is solved continuously with time-dependent magnetic field parameters, and the resulting temperature changes continuously update the magnetic field configuration. This continuous mutual update maintains physical realism while using efficient time-stepping numerical methods to manage computational complexity
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The method provides accurate, high-time-resolution three-dimensional electron temperature profiles, enhancing the ability to monitor and control magnetohydrodynamic instability in tokamak devices.
Implementation Method 1
The core plasmas can be heated in a manner of radiofrequency wave injection
Implementation Method 2
describing a heating source Sec of the radiofrequency wave by adopting a gaussian function
Implementation Method 3
calculating the evolution with time of the disturbed electron temperature in the current magnetic field configuration according to the electron heat transport equation
Implementation Method 4
electron heat transport equation
Implementation Method 5
the basic parameters such as transport coefficients in an electron heat transport equation and spitzer resistivity coefficients in a spitzer resistivity equation
Implementation Method 6
substituting the plasma resistivity obtained in step 5 into a magnetic flux equation, calculating the magnetic flux at the next moment and obtaining the magnetic flux ψ(1) after nonlinear evolution
Data Source
AI summary
The present invention discloses a simulation method for electron temperature evolution caused by an EAST tokamak radiofrequency wave. During the process of electron temperature evolution caused by injecting a numerically simulated radiofrequency wave into an EAST tokamak device, the forms of heating source are determined according to hardware parameters of a radiofrequency system, and then the evolution of the disturbed electron temperature in a given magnetic field configuration is calculated according to an electron transport equation in a tokamak configuration. The plasma resistivity is modified according to the evolved electron temperature, and the evolution of the magnetic field configuration is calculated by adopting the modified resistivity. The evolution of the disturbed electron temperature is calculated sequentially in such magnetic field configuration, and the calculation is conducted repeatedly, to achieve the simulation of long-time evolution.