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Further optimization of the solenoid design

Joint Institute for Nuclear Research. Further optimization of the solenoid design. A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt, 05.03.2008. Coil and yoke dimensions. Barrel part 1490 mm < r < 2300 mm 60 mm + 11×30 mm + 60 mm steel; 12 gaps of 30 mm

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Further optimization of the solenoid design

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  1. Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt, 05.03.2008

  2. Coil and yoke dimensions • Barrel part • 1490 mm < r < 2300 mm • 60 mm + 11×30 mm + 60 mm steel; 12 gaps of 30 mm • Upstream door • Upper radius: -1970 mm < z < -1585 mm • Lower radius: -1970 mm < z < -1734 mm • Downstream door • 2465 mm < z < 2865 mm • 5×60 mm steel; 4 gaps of 25 mm • Cryostat • -1190 mm < z < 1900 mm • Gaps between the coil and cryostat ends: • 170 mm (upstream) and 155 mm (downstream) • In ZEUS: both gaps are 150 mm

  3. Solenoid cross-section Side view

  4. Solenoid cross-section Top view

  5. Coil parameters

  6. Magnetic flux density distribution The flux density in the upstream door is B < 1.7 T and the flux density near it in the downstream direction is B < 1 T.

  7. Magnetic flux density distribution

  8. Field homogeneity B0 = 2T |δ| < 1.78%

  9. Radial component integral |Iup| < 1.72 mm

  10. Dependence of parameterson the coil position Coil configuration is defined using our computer code

  11. Barrel part of the solenoid

  12. Impact of the cable passages across the barrel part of solenoid 800 x 60 mm2 at the octagon corners both at the upstream and downstream barrel ends Axisymmetric model: use of effective magnetic permeability fill factor: Stotal and Ssteel – cross-sections of barrel beam and its steel part in the plane crossing the gaps perpendicular to Z The calculations are not sensitive to the place of the gap on this plane

  13. Impact of the cable passages across the barrel part of solenoid

  14. Impact of the cable passages across the barrel part of solenoid The passages have small influence on the homogeneity and field integral in central region

  15. Solenoid front view

  16. Solenoid cross-section

  17. Stress-strain analysisdownstream door, inner (first) plate ΔZ < 0.05 mm Fixation scheme Axial displacement [m]

  18. 0 1 Stress-strain analysisdownstream door (second plate) Axial displacement [m]

  19. Stress-strain analysisdownstream door (second plate) Fixation scheme

  20. Stress-strain analysisdownstream door (second plate) Equivalent stress (Von Mises) σ < 25 MPa 3 welded spacers Allowable value: [σ] = 140 MPa

  21. Stress-strain analysisupstream door The door consists of 8 steel plates of 30 mm thickness consolidated in a package Equivalent stress (Von Mises) σ < 3 MPa

  22. 0 1 Stress-strain analysisupstream door Maximal axial displacement ΔZ < 0.5 mm

  23. Beam deformationin thecross-section With outer frames gravity loadand Px  = 0.25 G, Py  = 0.18 G (seismic load) Yoke barrelgravity load G = 2000 kN Maximal value of the deformation: uy = 1.5 mm, ux = ± 1 mm Maximal value of the deformation: uy = 1.6 mm, ux = 2 mm Maximal stress σmax = 35 MPa Maximal stress σmax = 50 MPa

  24. Al cylinder subcoil 1 subcoil 2 subcoil 3 subcoil 25 mm Al with slits (for shear stress reduction) solid Al Solenoid coil

  25. Solenoid coil Shear stress at the subcoil end face < 5 MPa 1 subcoil 0 solid Al

  26. Solenoid general view

  27. Solenoid general view

  28. Solenoid general view

  29. Solenoid details

  30. Solenoid details

  31. Solenoid details

  32. Yoke beamconstruction(old dimensions)

  33. Design criteria for the solenoid structural parts produced from metal alloys are chosen in accordance with “Codes of design to calculate the strength of equipment and pipe-lines of nuclear power plants” PNAE-G-002-86 and “Codes of strength calculations for high pressure vessels” (GOST 1429-89). Design criteria for the yoke and support frames include building norms and codes for steel constructions (Russian) and Eurocodes 3 . Allowable membrane stress in a solenoid structural part in the normal operation regime has to be chosen as follows: where safety coefficients (safety margins) for the coil are and for the yoke are Allowable bending stress in a structural part in the normal operation regime has to be chosen as follows: Mechanical analysis

  34. Beam deformationin thecross-section Without outer frames gravity loadand Px  = 0.25 G, Py  = 0.18 G (seismic load) Yoke barrelgravity load G = 2000 kN Maximal value of the deformation: uy = 4.3 mm, ux = ± 2.5 mm Maximal value of the deformation: uy = 5.8 mm, ux = 9.6 mm Maximal stress σmax = 115 MPa Maximal stress σmax = 140 MPa

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