Wall stabilization of the rigid ballooning m = 1 mode in a long-thin mirror trap

Kotelnikov, I. A.; Prikhodko, V. V.; Yakovlev, D. V.; Zeng, Qiusun; Zhang, Keqing; Chen, Zhibin; Yu, Jie

doi:10.1088/1741-4326/ac81da

Cited by 6 publications

(37 citation statements)

References 71 publications

(232 reference statements)

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“…2019), close fitting conducting shells (Kesner 1985; Beklemishev 2016; Kotelnikov et al. 2022) and feedback (Prater 1971; Be'ery, Seemann & Fisher 2014; Be'ery & Seemann 2015; Beklemishev 2017).…”

Section: Performance Modelling Of Whammentioning

confidence: 91%

“…The strategy for WHAM will be to use the known physics of FLR and vortex stabilization first, and later to test other promising techniques that may extrapolate better to future fusion reactors. Many ideas have been suggested and demonstrated to work over the past 50 years, (summarized well by Ryutov et al 2011), including the use of good curvature (Mirnov & Ryutov 1979;Bagryansky et al 2011), cusp boundaries (Prater 1971;Ferron et al 1983;Kotelnikov et al 2019), ponderomotive effects (Ferron et al 1987), rotating magnetic fields (Seemann, Be'ery & Fisher 2018; Zhu et al 2019), close fitting conducting shells (Kesner 1985;Beklemishev 2016;Kotelnikov et al 2022) and feedback (Prater 1971;Be'ery, Seemann & Fisher 2014;Be'ery & Seemann 2015;Beklemishev 2017).…”

Section: Mhd Stabilitymentioning

confidence: 99%

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Physics basis for the Wisconsin HTS Axisymmetric Mirror (WHAM)

Endrizzi,

Anderson,

Brown

et al. 2023

J. Plasma Phys.

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The Wisconsin high-temperature superconductor axisymmetric mirror experiment (WHAM) will be a high-field platform for prototyping technologies, validating interchange stabilization techniques and benchmarking numerical code performance, enabling the next step up to reactor parameters. A detailed overview of the experimental apparatus and its various subsystems is presented. WHAM will use electron cyclotron heating to ionize and build a dense target plasma for neutral beam injection of fast ions, stabilized by edge-biased sheared flow. At 25 keV injection energies, charge exchange dominates over impact ionization and limits the effectiveness of neutral beam injection fuelling. This paper outlines an iterative technique for self-consistently predicting the neutral beam driven anisotropic ion distribution and its role in the finite beta equilibrium. Beginning with recent work by Egedal et al. (Nucl. Fusion, vol. 62, no. 12, 2022, p. 126053) on the WHAM geometry, we detail how the FIDASIM code is used to model the charge exchange sources and sinks in the distribution function, and both are combined with an anisotropic magnetohydrodynamic equilibrium solver method to self-consistently reach an equilibrium. We compare this with recent results using the CQL3D code adapted for the mirror geometry, which includes the high-harmonic fast wave heating of fast ions.

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Section: Performance Modelling Of Whammentioning

confidence: 91%

Section: Mhd Stabilitymentioning

confidence: 99%

Physics basis for the Wisconsin HTS Axisymmetric Mirror (WHAM)

Endrizzi,

Anderson,

Brown

et al. 2023

J. Plasma Phys.

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“…Continuing the study of ballooning instabilities in isotropic plasma started in our article [1], in this paper we present * Author to whom any correspondence should be addressed.…”

Section: Introductionmentioning

confidence: 92%

Wall stabilization of high-beta anisotropic plasmas in an axisymmetric mirror trap

2023

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The stabilization of the ``rigid'' flute and ballooning modes both with and without the effect of additional MHD anchors in an axisymmetric mirror trap with the help of a perfectly conducting lateral wall is studied using a model pressure distribution of a plasma with a steep-angle neutral beam injection at the magnetic field minimum. The calculations were performed for an anisotropic plasma in a model that simulates the pressure distribution during the injection of beams of fast neutral atoms into the magnetic field minimum. It is assumed that the lateral wall is an axisymmetric shell surrounding the plasma that follows the shape of the magnetic field line and is placed at a certain distance to the plasma border. It has been found that for the effective stabilization of the modes by the lateral wall only, the parameter beta ($\beta$, ratio of plasma pressure to the magnetic field pressure) must exceed some critical value $\beta_{\text{crit}}$. When combined with the conducting end plates imitating the MHD end stabilizers, there are two critical beta values and two stability zones $0<\beta<\beta_{\text{ crit}1}$ and $\beta_{\text {crit}2}<\beta<1$ that can merge, making the entire range of allowable beta values $0<\beta<1$ stable. The dependence of the critical betas on the degree of plasma anisotropy, the mirror ratio, and the width of the vacuum gap between the plasma and the lateral wall is studied. In contrast to the previous studies focusing on a plasma model with a sharp boundary, we calculated the stability zones for a number of diffuse radial pressure profiles and several axial magnetic field profiles.

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“…1987; Beklemishev 2017; Kotelnikov et al. 2022). Significant stabilization occurs when and (Kotelnikov et al.…”

Section: Magnetohydrodynamic Stabilitymentioning

confidence: 99%

“…Significant stabilization occurs when and (Kotelnikov et al. 2022) and is especially effective when line-tying is also present. Finite wall resistivity will eventually result in resistive wall-mode instability on the time scale of magnetic diffusion to the wall.…”

Section: Magnetohydrodynamic Stabilitymentioning

confidence: 99%

Prospects for a high-field, compact break-even axisymmetric mirror (BEAM) and applications

Forest,

Anderson,

Endrizzi

et al. 2024

J. Plasma Phys.

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This paper explores the feasibility of a break-even-class mirror referred to as BEAM (break-even axisymmetric mirror): a neutral-beam-heated simple mirror capable of thermonuclear-grade parameters and $Q\sim 1$ conditions. Compared with earlier mirror experiments in the 1980s, BEAM would have: higher-energy neutral beams, a larger and denser plasma at higher magnetic field, both an edge and a core and capabilities to address both magnetohydrodynamic and kinetic stability of the simple mirror in higher-temperature plasmas. Axisymmetry and high-field magnets make this possible at a modest scale enabling a short development time and lower capital cost. Such a $Q\sim 1$ configuration will be useful as a fusion technology development platform, in which tritium handling, materials and blankets can be tested in a real fusion environment, and as a base for development of higher- $Q$ mirrors.

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Wall stabilization of the rigid ballooning m = 1 mode in a long-thin mirror trap

Cited by 6 publications

References 71 publications

Physics basis for the Wisconsin HTS Axisymmetric Mirror (WHAM)

Physics basis for the Wisconsin HTS Axisymmetric Mirror (WHAM)

Wall stabilization of high-beta anisotropic plasmas in an axisymmetric mirror trap

Prospects for a high-field, compact break-even axisymmetric mirror (BEAM) and applications

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