1998
DOI: 10.1063/1.873119
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Vertical asymmetry of the helical magnetic-field ripple in torsatrons and heliotrons

Abstract: Possible reasons are considered for the vertically asymmetric helical field ripple to occur in torsatrons and heliotrons [K. Uo, J. Phys. Soc. Jpn. 16, 1380 (1961)]. Vacuum magnetic configurations of present day l=2 torsatrons/heliotrons are analyzed using a harmonic expansion of the magnetic-field strength along a field line. It is shown that a typical feature of such configurations is a vertical asymmetry of their helical field ripple. This kind of vertical asymmetry of the ripple in torsatrons and heliotron… Show more

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Cited by 5 publications
(7 citation statements)
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“…Probably more complicated manifestations of the asymmetry in Heliotron E, for example the polarity reversal of the non-ambipolar divertor flows at the top and bottom with a rise of heating power [8], are related to the radial electric field being much stronger in Heliotron E (∼100 V/cm or even more, in comparison with ∼10 V/cm or less in the U-3M case). Moreover, as has been shown in Refs [20,21], a certain contribution to the vertical asymmetry of divertor flows in Heliotron E can also be made by the vertical asymmetry of helical ripple well co-ordinates, which is specific for the magnetic configuration of this heliotron/torsatron. The presence of such asymmetry facilitates a considerable increase in the vertical component of the drift velocity of fast particles with energy near the boundary of particle trapping in the helical ripple wells.…”
Section: Discussionmentioning
confidence: 53%
“…Probably more complicated manifestations of the asymmetry in Heliotron E, for example the polarity reversal of the non-ambipolar divertor flows at the top and bottom with a rise of heating power [8], are related to the radial electric field being much stronger in Heliotron E (∼100 V/cm or even more, in comparison with ∼10 V/cm or less in the U-3M case). Moreover, as has been shown in Refs [20,21], a certain contribution to the vertical asymmetry of divertor flows in Heliotron E can also be made by the vertical asymmetry of helical ripple well co-ordinates, which is specific for the magnetic configuration of this heliotron/torsatron. The presence of such asymmetry facilitates a considerable increase in the vertical component of the drift velocity of fast particles with energy near the boundary of particle trapping in the helical ripple wells.…”
Section: Discussionmentioning
confidence: 53%
“…The helical ripple asymmetry favours an increase in vertical asymmetry of convective particle flows, provided banana or superbanana ions, being sensitive to the helical ripple asymmetry, dominate in the loss cone losses. It is the difference in the structure of ion loss cone in U-3M [5] and H-E [17] that might result in the divertor flow asymmetry in H-E to be several times higher than in the l = 3 torsatron.…”
Section: Summary and Discussionmentioning
confidence: 99%
“…A characteristic feature of the H-E magnetic configuration is the natural vertical asymmetry of the helical magnetic field ripple [17]. Such an asymmetry is inherent to all l = 2 helical devices, to a larger or lesser extent.…”
Section: Summary and Discussionmentioning
confidence: 99%
“…In the Heliotron E device main particle losses, similar to those in U-3M [15], should be associated with fast toroidal banana-ions, which were trapped in the helical ripple wells at the plasma periphery, and the non-compensated ion B Â HB drift should be a determinative mechanism of particle losses and the vertical asymmetry of poloidal distributions of these losses. However, in the H-E case, the degree of vertical asymmetry of ion loss distribution underwent a significant increase due to the natural vertical asymmetry of the helical magnetic field ripple, according to results of calculations in [16,17]. This kind of asymmetry differs from that caused by a single-null divertor in a tokamak or a vertical displacement of the plasma column [18] and is inherent, to a larger or lesser extent, to all l ¼ 2 heliotrons=torsatrons.…”
Section: On the Role Of Trapped Particles In Up-down Asymmetrymentioning
confidence: 77%
“…12) which crossed the CP surface. Therefore, it is impossible to make a quantitative comparison of calculated locations on OMSs of lost particles [16,17] with observed behavior of divertor flows.…”
Section: Difference Of the Up-down Asymmetry For Different Regimes Ofmentioning
confidence: 98%