Measuring Ion Nonextensive Parameter via Geodesic Acoustic Mode
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Solution Overview
Problem
Current methods fail to accurately measure the ion nonextensive parameter of plasma, despite being able to measure the electron nonextensive parameter, leading to significant diagnosis errors due to the neglect of nonextensivity effects.
Innovation Solution
A method involving nonextensive statistical mechanics to derive an equation relating geodesic acoustic mode frequency and ion acoustic speed, followed by data collection and linear fitting to obtain the ion nonextensive parameter, utilizing a tokamak device and nonextensive electric probe, with additional steps for error analysis and validation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If nonextensive statistical mechanics is used to describe plasma, then measurement precision of ion nonextensive parameter is improved, but device complexity increases
Solution Approach 1:
The patent replaces complex direct measurement mechanisms with a theoretical modeling approach. By substituting the mechanical measurement system with a mathematical model based on nonextensive statistical mechanics that relates GAM frequency to ion acoustic speed, the method achieves high measurement precision while avoiding the need for complex additional hardware.
Solution Approach 2:
The patent introduces geodesic acoustic mode (GAM) frequency as an intermediary parameter to measure the ion nonextensive parameter. Instead of directly measuring the ion nonextensive parameter, the method uses GAM frequency as a mediator that can be easily measured and then converted to the desired parameter through established theoretical relationships.
2Device complexity
If traditional measurement methods are used, then device complexity is reduced, but diagnosis accuracy deteriorates due to neglect of nonextensivity effects
Solution Approach 1:
The patent changes the fundamental parameter description from Boltzmann-Gibbs statistics to nonextensive statistical mechanics. By adopting the q-indexed entropy framework and modifying the distribution functions accordingly, the method achieves accurate plasma parameter diagnosis that accounts for nonextensivity effects while using the same measurement devices.
Data Source
AI summary
The present invention relates to a method for measuring the ion nonextensive parameter of plasma includes the following steps: describe the plasma with nonextensive statistical mechanics, obtain the equation describing the relationship between the geodesic acoustic mode frequency and the ion acoustic speed of plasma; collect the measurement data of the geodesic acoustic mode frequencies and plasma temperature in the device where the plasma is to be measured; the obtained equation describing the relationship between the geodesic acoustic mode frequency and the ion acoustic speed of plasma is used to linearly fit the collected measured data of the geodesic acoustic mode frequency and the plasma temperature in the device where the plasma is to be measured to obtain the slope value; based on the derived equation and the obtained slope values, and combining with the safety factor of the device where the plasma is to be measured, the ion nonextensive parameter is solved numerically. The present invention fills the gap where the electron nonextensive parameter can be measured with the nonextensive single electric probe, but the corresponding ion nonextensive parameter cannot be diagnosed yet in the field of nonextensive parameters diagnosis.