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28     Fundamentals of Magnetic Thermonuclear Reactor Design



             TABLE 2.6 Parameters of ‘Compact’ Stellarators
             Facility            Commissioning   Major/minor   Magnetic field on
                 a
             (type )    Country  (modification) year radius (m)  plasma axis (T)
             Heliotron J (T) Japan  1999        1.2/(0.1–0.2)  1.5
             HSX (M)    USA      1999           1.2/0.15     1.4
             H-1 (T)    Australia  1998
             TJ-II (T)  Spain    1997           1.50/(0.10–0.22) 1.2
             CAT/CTH (T)  USA    1990 (2005)    0.53/0.15    0.5
             W7-AS (M)  Germany  1988–2002      2.0/0.18     3.0
             Y-3M (T)   Ukraine  1981           1.00/0.12    2.5
             WEGA (C)   France–  1975 (2001)–2013  0.72/0.1  0.4–0.9
                        Germany
             HIDRA (C)  USA      2015           0.72/0.1     0.4–0.9
             L-2M (C)   Russia   1975 (1993)    1.00/0.115   1.34
             a C, classic stellarator; M, modular stellarator; T, torsatron/heliotron.



               Stellarators and tokamaks have similar key systems; although stellarators
            have no central solenoid and the rotational transform angles are different (they
            are much smaller in tokamaks). Thirty stellarators have been constructed since
            the 1970s, of which eight are currently in service (Tables 2.6 and 2.7).
               A real breakthrough with stellarator machines was achieved in the past few
            decades, when new numerical approaches for the magnetic field topology op-
            timisation were proposed. Additionally, a considerable progress in technology
            enabled considerable improvements in the magnetic system manufacturing and
            assembly precisions, as well as in computational modelling and simulation of
            plasma behaviour. The advanced W7-X stellarator is an example of the applica-
            tion of the optimisation design philosophy [21].
               The introduction of helical coils and the use of non-round (initially ellipti-
            cal, later triangular) cross-sections, turned along the toroidal loop, heralded the
            move from configurations proposed by Spitzer to state-of-the-art stellarators.
            The improvement of the latter follows two main directions:
            l  Torsatrons–heliotrons that rely on continuous helical coils or systems of
               coils to achieve the desired magnetic configuration; currently, the largest
               heliotron is the LHD machine in Japan;
            l  Modular stellarators, in which individual complex coils act as toroidal and helical
               coils; currently, the largest modular stellarator is the W7-X machine in Germany.
               The torsatron’s important property, from a mechanical view point, is that the
            helical coil (the most complex part of the electromagnetic system) can be made
            virtually ‘forceless’ and thus reduce the electromagnetic loads.
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