Reconstruction of poloidal magnetic fluxes on EAST based on neural networks with edge electromagnetic diagnostics
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Xiangze XIA,
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Feifei LONG,
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Jian LIU,
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Zixi LIU,
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Xiaodong WU,
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Xiaohe WU,
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Chenguang WAN,
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Xiang GAO,
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Guoqiang LI,
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Zhengping LUO,
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Jinping QIAN
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Abstract
Accurate reconstruction of tokamak equilibria requires precise measurements of magnetic fields and magnetic flux, which is essential for effective plasma control and optimization. To reconstruct equilibria, code like equilibrium fitting code (EFIT) solves the nonlinear Grad–Shafranov equation. This depends on the traditional algorithms achieved by iteratively minimizing the discrepancy between predicted and measured edge electromagnetic diagnostic signals. The iterative methods face high computational cost due to necessary convergence and sensitivity to initial guesses in the pursuit of equilibrium optimization. We develop an artificial neural network with a weighted-focused loss function to reconstruct magnetic equilibria on the EAST tokamak through a supervised learning method. The training set, validation set, and testing set are partitioned randomly from the dataset of poloidal magnetic flux distributions of the EAST experiments in 2016 and 2017. The feasibility of the neural network model is verified by comparing it to the off-line EFIT results. It is found that the neural network algorithm based on the supervised machine learning method can accurately predict the locations of different closed magnetic flux surfaces at a high efficiency. The similarities of the predicted X-point position and last closed magnetic surface are both 98%. The coefficient of determination (R-square) of the q profiles is 99.6%. Compared with the target value, the model results show the potential of the neural network model for practical use in plasma modeling and real-time control of tokamak operations. The main contributions of this work include (i) reconstructing high-resolution 129×129 poloidal flux distributions directly from edge electromagnetic diagnostics, (ii) introducing a plasma-focused weighted loss function to improve reconstruction quality in the plasma region of interest, and (iii) demonstrating accurate and fast reconstruction of last closed flux surface (LCFS), X-point and q profiles with real-time capability.
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