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Application of the Bayesian analysis to the modified Rutherford equation for NTM stabilization

L Urso, R Fischer, A Isayama, ASDEX Upgrade Team, JT-60 Team2010年Plasma Physics and Controlled FusionIF 2.2出版社

The determination of the free parameters present in the modified Rutherford equation (MRE), which is routinely used for studying the physics of neoclassical tearing mode (NTM) stabilization, is addressed by making use of the Bayesian probability theory. The evaluation of the free coefficients is particularly sensitive to the assumptions used in the modelled equation, to the correlation of various physical parameters and to the uncertainties of the experimental measurements. A probabilistic method was applied for the consistent evaluation of the coefficients and their uncertainties using a large database of discharges and by considering the correlations and the uncertainties of the multiple physical quantities present in the MRE. The estimated values and uncertainties of the coefficients are related to the precise determination of the minimum amount of electron cyclotron current drive power necessary to stabilize NTMs in the International Thermonuclear Experimental Reactor.

日本語訳

修正ラザフォード方程式(MRE)に含まれる自由パラメータの決定について、ベイズ確率論を用いて取り組む。この方程式は、新古典ティアリングモード(NTM)の安定化の物理を研究する際に日常的に使用されるものである。自由係数の評価は、モデル化された方程式で用いられる仮定、様々な物理パラメータ間の相関、および実験データの不確かさに特に敏感である。そこで、多数の放電データベースを用い、複数の物理量に存在する不確かさとそれらの相関を考慮した確率論的手法を適用し、係数とその不確かさを一貫して評価した。得られた係数の推定値とその不確かさは、国際熱核融合実験炉(ITER)において新古典ティアリングモードを安定化するために必要な電子サイクロトロン電流駆動パワーの最小値を精密に決定することに関連する。

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Neoclassical tearing mode
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