Magnetic field due to helical currents on a torus

Sy, W. N. C.

doi:10.1088/0305-4470/14/8/031

Cited by 9 publications

(3 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Geodesics on the torus have been calculated by Irons [35] but they have complicated expressions. Helical windings have been considered by Bhadra [4] and by Sy [15].…”

Section: Current Density For a Class Of Helical Trajectories On The Tmentioning

confidence: 99%

“…However, the problem has also technological import in, e.g., plasma fusion research and astrophysics. In the past, the work on toroids has focused on the vector potential and magnetic fields of such currents [3][4][5][6][7][8][9][10][11][12][13][14][15], on their inductance and energy [16][17][18][19][20][21][22], as well as on force free configurations of such currents [23][24][25][26][27]. In particular the problem of surface currents, either due to skin effect, or due to superconductivity or perfect conductivity of the tori, has been investigated [28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Magnetic Energy of Surface Currents on a Torus

Essén¹,

Stén²,

Nordmark³

2013

PIER B

View full text Add to dashboard Cite

Abstract-The magnetic energy and inductance of current distributions on the surface of a torus are considered. Specifically, we investigate the influence of the aspect ratio of the torus, and of the pitch angle for helical current densities, on the energy. We show that, for a fixed surface area of the torus, the energy experiences a minimum for a certain pitch angle. New analytical relationships are presented as well as a review of results scattered in the literature. Results for the ideally conducting torus, as well as for thin rings are given.

show abstract

“…Geodesics on the torus have been calculated by Irons [35] but they have complicated expressions. Helical windings have been considered by Bhadra [4] and by Sy [15].…”

Section: Current Density For a Class Of Helical Trajectories On The Tmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Magnetic Energy of Surface Currents on a Torus

Essén¹,

Stén²,

Nordmark³

2013

PIER B

View full text Add to dashboard Cite

show abstract

“…which, when transformed to our quasi-toroidal co-ordinates and put in the form of Eq. (l), gives [23] 1…”

Section: Minimization Of Toroidal Reduction Of Rotational Transformmentioning

confidence: 99%

Optimum design of helical windings for a toroidal ℓ = 3 stellarator with large separatrix

Sharp¹,

Blamey²,

Hamberger³

1983

Nucl. Fusion

View full text Add to dashboard Cite

The paper presents the results of a detailed computational study of possible ℓ = 3 stellarator winding configurations in which the separatrix radius and position are maintained constant. It is shown that toroidal effects on both the rotational transform properties and the mechanical forces can be reduced by suitably modulating the winding pitch, which results in considerable savings in the required current and mechanical support. The existence of significant magnetic wells is demonstrated. The results generally favour the use of shallow rather than steep windings and fairly large aspect ratios.

show abstract