Energy confinement in W7-AS and extrapolation to a Helias reactor
TL;DRAbstract
The energy confinement time in Wendelstein 7-AS shows a strong dependence on the rotational transform, which makes it difficult to establish a universal scaling laws for energy confinement. Under optimum conditions the scaling of confinement follows Lackner-Gottardi scaling with an improvement factor of 1.2. This holds in the very neighbourhood of low order rational surfaces (ι = 0.34 and ι = 0.52). The scaling law together with other ones published in the literature are applied to the Helias reactor HSR4/18 (R = 18 m, a = 2 m, B = 5 T) showing that the conditions of self-sustained burn can be satisfied. In a second part the one-dimensional heat conduction equation is solved for the temperature profile taking into account alpha-particle heating and bremsstrahlung losses. The non-linearity of the equation leads to multiple solutions, the scaling of the stable solution is studied in detail.
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The energy confinement time in Wendelstein 7-AS shows a strong dependence on the rotational transform, which makes it difficult to establish a universal scaling laws for energy confinement. Under optimum conditions the scaling of confinement follows Lackner-Gottardi scaling with an improvement factor of 1.2. This holds in the very neighbourhood of low order rational surfaces (ι = 0.34 and ι = 0.52). The scaling law together with other ones published in the literature are applied to the Helias reactor HSR4/18 (R = 18 m, a = 2 m, B = 5 T) showing that the conditions of self-sustained burn can be satisfied. In a second part the one-dimensional heat conduction equation is solved for the temperature profile taking into account alpha-particle heating and bremsstrahlung losses. The non-linearity of the equation leads to multiple solutions, the scaling of the stable solution is studied in detail.
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