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IPP Annual Report 2007 - Max-Planck-Institut für Plasmaphysik ...

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eing created quite detailed in one piece with contact interfaces<br />

only at places where such ones are also in reality. The<br />

ADINA GM is expected to be the most accurate and fastest.<br />

However, the modelling is not finally finished, the central<br />

support structure including the interfaces to the coil still<br />

have to be completed before an extended test and benchmarking<br />

phase can start. The model is now expected to be<br />

fully operational in the second half of 2008. The ANSYS GM<br />

as the main FE-tool was created in the last years with first<br />

priority with the help of the Efremov <strong>Institut</strong>e. The development<br />

activities, i.e. continuous updating and improvement<br />

of the model, are still ongoing at <strong>IPP</strong>; however, the contract<br />

with Efremov <strong>Institut</strong>e was closed. Both versions of this GM,<br />

the half module model with boundary conditions representing<br />

the stellarator symmetry (so-called 36° model) as well as<br />

the full module model (so-called 72° model including also<br />

the cryolegs) with cyclic boundary conditions are the workhorses<br />

which are heavily used for all kind of magnet system<br />

analyses. The 72-degree model is applied for analysing<br />

effects which are not in accordance with the stellarator symmetry<br />

like the presence of cryolegs and the dead weight.<br />

However, the module model requires enormous resources.<br />

One run takes typically one week for full load history which<br />

includes bolt preload, dead weight, cool-down, EM force<br />

application, and optionally the effect of winding pack (WP)<br />

embedding. The presence of the cryolegs and the deadweight<br />

result in 5-20 % asymmetry in the displacements<br />

and support forces between neighbouring 36-degree semimodules.<br />

In addition, the rigid body toroidal movement of<br />

the Magnet system is induced by the central structure deformation<br />

and corresponding tilting of the cryolegs. The<br />

ABAQUS GM emerged from a simplified model used for<br />

predicting magnet system deformations during different<br />

assembly steps – the results had to be considered for assembly<br />

procedures and tools. Starting from this basic model it took<br />

relatively small effort by LTC comp. to create a 36° version<br />

of GM in 2006 and a 72° version until the end of <strong>2007</strong>. The<br />

model is now installed at the <strong>IPP</strong> Greifswald and first structure<br />

analysis confirmation runs have been started. The model<br />

benchmarking with ANSYS GM shows good agreement<br />

of the main results. Minor discrepancies are still under<br />

checking and verifications in both GMs. ABAQUS will also<br />

be used for special tasks for which this program is better<br />

suited (e.g. for strength limit analyses which requires elastoplastic<br />

material properties and option of large deformations).The<br />

main GM applications are calculation of main<br />

stresses, deformations and forces/moments in the main<br />

structural elements occurring during different modes of<br />

operation such as bolt tightening already at room temperature,<br />

applying dead weight, cooling to cryogenic temperatures,<br />

and applying the electromagnetic forces. Also the<br />

influences of the winding pack embedding pre-stresses,<br />

different friction factors at the gliding elements, tolerance<br />

Wendelstein 7-X<br />

39<br />

deviations, NSE and PSE gap variations, etc., can be simulated.<br />

The GM is also used for prediction of handling deformations<br />

during assembly. A further application of the GM<br />

was the definition of positions for the mechanical instrumentation<br />

of the structure.<br />

Figure 13: Over-spreading of non-planar coils to install oversized lateral<br />

support block for weld shrink compensation; deformation in mm.<br />

The original study of the Magnet system behaviour and optimization<br />

of the parameters was performed for four main<br />

plasma scenarios with maximum current in different coils,<br />

corresponding to an on-axis field of 3 T. Preliminary analysis<br />

of the remaining 5 operational scenarios reveals that due to the<br />

high nonlinearity of the system some of the supports might<br />

be loaded to the limits already at plasma axis fields somewhat<br />

below the maximal design value of 3 T, therefore the<br />

operation limits in particular for these additional scenarios

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