The optimal values of Greenwald density limit and plasma safety factor in inductive and non-inductive operation modes

IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pramana Pub Date : 2024-04-17 DOI:10.1007/s12043-024-02751-0
F Sharifi, S M Motevalli, F Fadaei
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Abstract

The spherical tokamak (ST) operates in a steady state with a high fusion gain. The 0-dimensional power balance model, including radiation losses to determine Q value as an inductive fusion gain, and the current balance model for determining \(Q_{\textrm{CD}}\) as a non-inductive fusion gain, is used to investigate the viability of D–\(^{3}\)He fuel for a steady-state operation. The spherical tokamak’s geometry, including the magnetic field \(B_{t}\) and \(\beta _{\textrm{th}}\) as a ratio of its kinetic pressure to the magnetic pressure, is used to analyse the impact of the confinement enhancement factor \(H_{y2}\) and the impurity density fraction \(f_{\textrm{I}}\) on \(Q_{\textrm{CD}}\). By comparing the obtained values with the device data, plasma characteristics, such as the safety factor \(q_{\textrm{I}}\) and Greenwald density limit \(N_{\textrm{G}}\) are examined to determine the optimum density limit and safety factor for an assurance about \(Q\approx Q_{\textrm{CD}}\) as the aim of steady-state operation. A comparison with ARIES-III performance is also made. The overall plant power balance equation is included. Furthermore, the desirable plant thermal efficiency value \(\eta _{\textrm{th}}\) and normalised beta value \(\beta _{N}\) for producing net electric power \(P_{\textrm{NET}}>\) 1 GW for the ST are achieved. Therefore, ST’s capability of having a lower aspect ratio A and higher elongation \(\kappa _{s}\) than ARIES-III in generating more significant fusion power with lower \(H_{y2}\) and higher energy confinement time \(\tau _{E}\) is approved.

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感应和非感应运行模式下格林沃尔德密度极限和等离子体安全系数的最佳值
球形托卡马克(ST)在高聚变增益的稳定状态下运行。0维功率平衡模型包括用于确定Q值的辐射损耗和用于确定\(Q_{\textrm{CD}}\)的非感应聚变增益的电流平衡模型,用于研究D-\(^{3}\)He燃料在稳态运行中的可行性。球形托卡马克的几何结构,包括磁场\(B_{t}\)和\(\beta _{textrm{th}}\)作为其动压与磁压之比,被用来分析约束增强因子\(H_{y2}\)和杂质密度分数\(f_{textrm{I}}\)对\(Q_{textrm{CD}}\)的影响。通过将获得的值与设备数据进行比较,考察了等离子体特性,如安全系数(q_{textrm{I}})和格林沃尔德密度极限(N_{textrm{G}}),以确定最佳密度极限和安全系数,从而保证稳态运行的目标是(Q/approx Q_{textrm{CD}})。同时还与 ARIES-III 的性能进行了比较。其中包括整个电厂的功率平衡方程。此外,ST 达到了理想的电厂热效率值(\eta _{textrm{th}}\)和归一化贝塔值(\beta _{N}\),可产生 1 GW 的净电功率(P_{textrm{NET}}>\)。因此,与ARIES-III相比,ST具有更低的长径比A和更高的伸长率\(\kappa _{s}\),能够以更低的\(H_{y2}\)和更高的能量约束时间\(\tau _{E}\)产生更显著的聚变功率,这一点得到了认可。
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来源期刊
Pramana
Pramana 物理-物理:综合
CiteScore
3.60
自引率
7.10%
发文量
206
审稿时长
3 months
期刊介绍: Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.
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