Page 396 - Fundamentals of Magnetic Thermonuclear Reactor Design
P. 396

374     Fundamentals of Magnetic Thermonuclear Reactor Design


            l  Plasticisation of MS structural materials—to the extent that the structure’s
               desired load-bearing capacity is proved by calculations that account for the
               materials’ low-temperature degradation.
            l  Controlled fracturing—to the extent that a quantitative crack growth analy-
               sis points to a more than a 10× margin on the critical number of loading
               cycles.
            l  Local delamination of the winding insulation—to the extent that a numerical
               analysis does not reveal any propagation of the loss of solidity. Insulation
               wear near the delamination area due to microdislocations of adjacent insula-
               tion layers relative to one another is virtually improbable due to the small
               number of working cycles.
            l  Local plastic flow in the MS constructional elements, as it allows acceptable
               strain level to be raised.
               In addition, the welded joints strength criteria are less demanding for W7-X.
            As we know, welding quality is measured by the joint strength factor, that is,
            the ratio between the welded joint and the base metal strength metrics. The joint
            strength factor is set as one of the design standards. The W7-X project specifies
            the following:
            l  Each welded joint was treated as a load-bearing constructional element with
               a strength factor of 0.85. An elastic–plastic approximation was used to make
               necessary estimates.
            l  Welded structures have a two-level excessive pressure management system
               that prevents pressure increases above 1.2 atm. In the regulatory context, this
               allows the structure to be treated as a VV with ‘relaxed’ requirements for the
               strength of welded joints.
            l  ITER criteria and ratios were used to assess the joints’ resistivity to cyclic
               stresses.
            l  In the mathematical models of welded joints longer than 5 mm, the weld
               curvature radius was taken to be 2 mm. For shorter joints, the curvature
               radius was directly proportional to the joint length.
               The ‘relaxed’ standards and the adequacy of these exceptions are justified in
            the course of numerous tests and comparisons between theoretical and experi-
            mental data.
               In any case, the welder’s highest qualification is among the most important
            ‘design standards’ for any MFR.


            APPENDIX A.12.1  MAGNETO-ELASTIC STABILITY OF ITER
            POLOIDAL FIELD COIL SYSTEM

            Let us consider the concept of magnetic stiffness in more detail. Let us focus
            on the interaction of electric currents I  and I  in ring-shaped coils number i
                                            i
                                                  j
            and number j (Fig. A.12.1.1). Because of the small linear dimensions of the
            coils’ cross-section compared with their radius and distance between them, the
   391   392   393   394   395   396   397   398   399   400   401