Rigid-rotor, field-reversed configuration

Conti, F.; Wessel, F. J.; Binderbauer, Michl; Bolte, N.; Giammanco, F.; Morehouse, M.; Qerushi, Artan; Rahman, H. U.; Roche, T.; Слепченков, М. М.

doi:10.1063/1.4866144

Cited by 12 publications

(12 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To determine the radial structure of field-reversed configuration (FRC) [1,2] plasmas, internal magnetic probe arrays [3][4][5][6][7][8] have been extensively used. One great importance is that integration of the B z radial profile allows direct measurement of the separatrix radius, which sets the boundary of the FRC from open field-lines.…”

Section: Introductionmentioning

confidence: 99%

Generalized radial profile of field-reversed configurations based on symmetrical properties

Lee¹

2020

Nucl. Fusion

View full text Add to dashboard Cite

Field-reversed configurations (FRC) exhibit several remarkable symmetrical properties. In the idealized FRC, B z at the geometric axis and separatrix are of the same value but have opposite signature. The total poloidal flux at the inner field-lines (geometric axis to the O-point) is equal to that of the outer field-lines (O-point to the separatrix), which perfectly cancels out so that there remains zero flux at the separatrix. With these properties, a semi-analytical model of the radial profile is constructed. The symmetric (SYM) model begins with an analytical description of the current density profile j θ (r) having symmetric features. The model then takes into account of finite current at the separatrix that brings in asymmetric features. It is the combination of these two attributes, which determine the radial profile for the SYM model. This gives a generalized description that is applicable to a wide range of FRC settings for peaked and hollow current density profiles. Comparisons are made with the well-known rigid rotor (RR), two-point equilibrium (2PE), and Cobb et al model for two cases: (1) FRC behaves more symmetrically for conditions when B z at the geometric axis (B s ) is almost equal to B e , and (2) asymmetric when B s is lower than B e . A possible equilibrium profile for high performance FRCs at B e = 0.5 T is also presented.

show abstract

Section: Introductionmentioning

confidence: 99%

Generalized radial profile of field-reversed configurations based on symmetrical properties

Lee¹

2020

Nucl. Fusion

View full text Add to dashboard Cite

show abstract

“…Although various models have been proposed to analyze the FRC experimental results, the RR model is the simplest one with clear physical meanings and is the most widely used [18,19]. Therefore, the MRR pressure profile model P = P(ψ) is based on the RR model, and is required to be as simple as possible, to have sufficient flexibility for fitting experimental data, and can be reduced to the RR model.…”

Section: The Mrr Equilibrium Modelmentioning

confidence: 99%

Two-parameter Radial Equilibrium Models for Field-Reversed Configurations

Ma,

Xie,

Bai

et al. 2020

Preprint

View full text Add to dashboard Cite

A new equilibrium pressure profile extending the Rigid-Rotor (RR) model with a simple unified expression P = P(ψ;β s ,α,σ) for both inside and outside the separatrix is proposed, in which the radial normalized field-reversed configuration (FRC) equilibrium profiles for pressure, magnetic field, and current can be determined by only two dimensionless parameters β s ≡ P s /2µ 0 B 2 e and δ s ≡ L ps /R s , where P s is the thermal pressure at the separatrix, B e is the external magnetic field strength, L ps is the pressure profile scale length at the separatrix, and R s is the separatrix radius. This modified rigid rotor (MRR) model has sufficient flexibility to accommodate the narrow scrape of layer (SOL) width and hollow current density profiles, and can be used to fit experimental measurements satisfactorily. Detailed one-dimensional (1D) characteristics of the new MRR model are investigated analytically and numerically, and the results are also confirmed in two-dimensional (2D) numerical equilibrium solutions.

show abstract

“…[8][9][10] In the FC-FRC Experiment, a 50 G axialmagnetic field is applied, prior to formation, by first pulsing the Limiter Coil. The azimuthal-electric field is then generated by pulsing the Flux Coil, which results in a diamagneticplasma current that reverses the applied-magnetic field, inside the plasma-inner radius.…”

Section: Hybrid Simulationsmentioning

confidence: 99%

“…[8][9][10] Measurements also indicate that the radial profiles for the density, axial-magnetic field, and radialelectric field are rigid-rotor like; 10 a rigid-rotor plasma is one where the entire plasma rotates with a uniform-angular frequency, independent of radius. [11][12][13][14] The hybrid simulation presented here uses a modified version of the MACH2 MHD code 15,16 and a coupled-circuit model to produce the azimuthal-electric field.…”

Section: Introductionmentioning

confidence: 98%

Hybrid magneto-hydrodynamic simulation of a driven FRC

et al. 2014

Self Cite

View full text Add to dashboard Cite

We simulate a field-reversed configuration (FRC), produced by an "inductively driven" FRC experiment; comprised of a central-flux coil and exterior-limiter coil. To account for the plasma kinetic behavior, a standard 2-dimensional magneto-hydrodynamic code is modified to preserve the azimuthal, two-fluid behavior. Simulations are run for the FRC's full-time history, sufficient to include: acceleration, formation, current neutralization, compression, and decay. At start-up, a net ion current develops that modifies the applied-magnetic field forming closed-field lines and a region of null-magnetic field (i.e., a FRC). After closed-field lines form, ion-electron drag increases the electron current, canceling a portion of the ion current. The equilibrium is lost as the total current eventually dissipates. The time evolution and magnitudes of the computed current, ion-rotation velocity, and plasma temperature agree with the experiments, as do the rigid-rotor-like, radial-profiles for the density and axial-magnetic field [cf. Conti et al. Phys. Plasmas 21, 022511 (2014)]. V C 2014 AIP Publishing LLC. [http://dx.

show abstract

Rigid-rotor, field-reversed configuration

Cited by 12 publications

References 23 publications

Generalized radial profile of field-reversed configurations based on symmetrical properties

Generalized radial profile of field-reversed configurations based on symmetrical properties

Two-parameter Radial Equilibrium Models for Field-Reversed Configurations

Hybrid magneto-hydrodynamic simulation of a driven FRC

Contact Info

Product

Resources

About