Plasma equilibrium in toroidal l = 3 stellarators

Fielding, P. J.; Hitchon, W. N. G.

doi:10.1017/s0022377800010400

Cited by 12 publications

(12 citation statements)

References 6 publications

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“…An attractive coil configuration having been decided on, it was possible to check that the values of N c , p and t were consistent by field line following. An MHD equilibrium calculation [5,6] provided confirmation that the assumed beta value could be sustained in equilibrium.…”

Section: Introductionmentioning

confidence: 87%

Reduced-aspect-ratio stellarator reactors

Hitchon¹

1984

Nucl. Fusion

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The extent to which the size of a modular stellarator reactor may be reduced is investigated by means of an analytic model of the reactor. The various means employed include varying the blanket/shield thickness, the power output and the wall loading. An optimum design is found, the major radius of which tends to be insensitive to changes in these quantities, although a decrease in the power output leads to a rather smaller decrease in reactor dimensions, as would be expected. Varying the plasma beta at fixed t 2 e or, alternatively, increasing the rotational transform per field period, may, however, allow configurations with fewer field periods to be accessed which have a substantially smaller major radius than the 'standard case' adopted. The magnetics of various configurations required by the model are checked by field line following and the performance claimed is shown to be relatively easily achieved. Costs of two promising configurations are estimated; these designs are found to be highly competitive with other conceptual fusion reactors in terms of cost, as well as requiring less advanced technologies.

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Section: Introductionmentioning

confidence: 87%

Reduced-aspect-ratio stellarator reactors

Hitchon¹

1984

Nucl. Fusion

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“…Hitchon and Fielding [32] applied a large-aspect-ratio ordering scheme to the problem of low-beta MHD equilibrium in an £ = 3 stellarator and obtained solutions for arbitrarily prescribed pressure and current density profiles. The results were used to calculate equilibria for the CLEO stellarator parameters [33 ]; also, the role of the vertical field in reducing pressure-induced flux surface distortion was examined. Experimentally, it had been found necessary to apply a vertical field to obtain the high-beta plasma with neutral injection.…”

Section: Further Theory and Reactor Studymentioning

confidence: 99%

Culham stellarator programme, 1965–1980

Lees¹

1985

Nucl. Fusion

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The stellarator programme at Culham is reviewed. Results from the CLASP, PROTO-CLEO, TWIST, TORSO and CLEO devices are presented. The CLASP experiment showed that stellarator fields have very good potential for confining singly charged particles. Results from PROTO-CLEO showed that stellarator confinement could be better than that given by the Bohm formula; ohmically heated plasmas on CLEO showed that parameters similar to those of tokamaks could be obtained. Neutral injection into CLEO successfully heated the plasma to beta values close to the stability limit. The first ECRH results on CLEO indicated the significant potential that stellarators posses for currentless operation.

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“…( 2), we begin by rewriting it as 6. = p 6 ( s i n n (cose -hp ) -cosn s i n e } (11) which is oscillatory in p0 and the amplitude of which is (hp ) 2 -2h P cose] 1 / 2 (12) We have already noted that the ripple vanishes at p 0 = h" 1 , 6 = 0; let us define a dimensionless length z 0 = h" 1 . Then Eq.…”

Section: Model Fieldmentioning

confidence: 99%

A model magnetic field for the calculation of particle-drift motions in a toroidal stellarator

1983

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A model for the magnetic field strength along a stellarator field line has been developed which correctly describes the principal contributions to the field strength and which can differ substantially from the simple form commonly assumed. An analytically tractable form of the model is obtained and is compared with results from ray-tracing in real fields. A theoretical description of the drift motions of 'localized* particles (trapped in the helical ripples of the magnetic field) is then obtained for a more general class of stellarator field than previously possible. Orbits in real devices are considered for both 8 = 2 and 8 = 3, and differences between the predictions of the present work and of earlier investigations are pointed out. The application of the theory to particle guiding-centre orbit following is discussed, and other consequences of the improved model field are indicated.

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Plasma equilibrium in toroidal l = 3 stellarators

Cited by 12 publications

References 6 publications

Reduced-aspect-ratio stellarator reactors

Reduced-aspect-ratio stellarator reactors

Culham stellarator programme, 1965–1980

A model magnetic field for the calculation of particle-drift motions in a toroidal stellarator

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