1. 1 Design of Solenoid and iron yoke for GLD KEK Hiroshi Yamaoka Ken-ichi Tanaka July 13, ‘05

2. 2 Introduction Yoke Design - Design against magnetic field - Design against forces - Assembly procedure - Cable path - Support for sub-detectors - Access plan to the sub-detector Solenoid Design - Coil/superconductor design - Cryostat design - Coil support - Assembly/Installation - Thermal design - Cryogenics system Cable Earthquake Self-weight Mag. force Solenoid Iron Yoke B Uniformity H-Cal EM Cal TPC Muon Tracker VTX Solenoid/Iron yoke Magnetic field: 3T Mean radius: 4m Uniformity(TPC): <2mm

3. 3 Boundary condition Magnetic Field Bc= 3 Tesla Material: S10C(JIS) Carbon= 0.1wt%  t =310MPa  e =205MPa  allow =120MPa Field Uniformity <2mm Permeability These dimensions are fixed, Coil length, yoke dimensions are changed. Belle Solenoid Z2 R2 3T

4. 4 R2.05m R1.8m R0.4m R1.0m 0 2mm 1 8 layers *Air gap=10cm <2mm In the previous meeting(ACFA7 in Taipei), Iron 2 layers coil + No correction Coil 4.2mm 30mm 4.3mm NbTi:Cu:Al= 1:0.9:15.6 Strand diameter: 1.23mm Filament diameter: 20  m Jc in NbTi at 5T, 4.2K: > 2750A/mm 2 Ic at 5T, 4.2K: > 20300A (For ATLAS) Ｓ uperconductor

5. 5 Tesla Solenoid 24.5kA18.8kA How in GLD solenoid? Tesla Technical Design Report PART IV A Detector for TESLA March 2001 Editors: T.Benke, S.Bertolucci, R.D.Heuer, R.Settles

6. 6 Calculations 4.25m Coil-L Coil-MCoil-C R4.0m J corr /J main To satisfy field homogeneity in TPC volume, this value must be at least less then 0.3%. Hopeless...

7. 7 Coil-L Coil-MCoil-C io 4.25m R4.0m dz Added! J corr /J main

8. 8 8 layers Iron 7 layers *Air gap=10cm A’. Unif.<2mm, No correction Coil B. Unif.<20mm, No correction Coil 2mm 18mm 00.511.522.5 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 Distance from center (m) Uniformity(mm) 6 layers A. Unif.<2mm, With correction Coil -0.6mm Coil length(Half)=4.43m Coil length(Half)=4.93m Coil length(Half)=4.68m

9. 9 Magnetic Field/Flux lines Magnetic Field in the TPC Leakage Field along the beam line A. Unif.<2mm, With correction Coil, Air gap=10cm Max. 2.998T Min. 2.994T

10. 10 Magnetic Field/Flux lines Magnetic Field in the TPC 00.511.522.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 Distance from center (m) Uniformity (mm) In case of Air gap=5cm + Corr. coil - Half Coil length: 4.32m (5cm gap) 4.43m (10cm gap) - Width of Iron Yoke 7.14m (5cm gap) 7.45m (10cm gap)

11. 11 Stress/deformation of Iron Yoke Earthquake Self-weight Mag. force 7700tons 0.3GxSelf-weight 18400tons = 18400tons ANSYS: 18342tons Self-weight Seismic force Magnetic force Symmetry is NOT defined!

12. 12 7700tons 0.8mm Thickness= 5cm Support positions 1.5mm Results Stress level is small enough. 0.3G Seismic force Against Self-weight

13. 13 Fixed (Faces) Fixed (Faces) 18400tons End Yoke 4mm 55MPa <120MPa(  a ) Results

14. 14 2 layers coil + Correction Coil(4 layers) 4.2mm 30mm 4.3mm NbTi:Cu:Al= 1:0.9:15.6 Strand diameter: 1.23mm Filament diameter: 20  m Jc in NbTi at 5T, 4.2K: > 2750A/mm 2 Ic at 5T, 4.2K: > 20300A (Based on ATLAS coil) Ｓ uperconductor 6.5mm 45mm 2 layers 4 layers 50cm t30mm Solenoid magnet t40mm t60mm t100mm Al support cylinder

15. 15 Von Mises Axial direction Compression Stress level in the coil (By K. Tanaka) Development of High-strength Al 4.43m(Half) R4.0m Support cylinder (t=30mm, Aluminum) Conductor (h=45mm) 7mm 3mm Deformation of the coil (By K.Tanaka) Solenoid center By Makida Circum. direction

16. 16 118MPa<140MPa 9mm t=40mm(Outer vac. wall) t=60mm(Inner vac. wall) t=100mm (End plate) 2000tons Fixed 2000tons x 0.3G Fixed 9mm 125MPa Material: SUS304 Cryostat

17. 17 Conclusion H-Cal Solenoid Main track EM-Cal Iron Yoke Moun t=50mm 2 layers Solenoid Magnet 2 layers 4 layers - 2 layers coil + 4 layers coil(L=500mm at both ends). - Same current density. -Power supply for the correction coil is not necessary. 50cm

18. 18 Next step Urgent! Assembly procedure Required space for detector hall Solenoid Coil support Solenoid support Assembly/Installation, etc. Iron Yoke Support structure for barrel/end yoke Easy/quick access device Construction procedure Design support structure for inner detector Other items

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20. 20 Solenoid Iron Yoke B=3T Coil/superconductor design - Optimize coil configuration 2 layers coil+ Al support cylinder + Correction coil? → Calculation: Magnetic force on the coil - Superconductor design Conductor size, Material(Al?, Cu?) → Calculation: Load line, Quench simulation Coil support system - Configuration(Rod?, triangle shape?, string?), size? → Calculation: De-centering/shifted force Self-weight, Thermal load Coil supports have to withstand these forces. Cryostat design - Calculate required wall thickness. Calorimeter is supported on the inner vacuum wall. - How support? Assembly/Installation - Assembling procedure. - How install/support the solenoid into the yoke. Cooling scheme Thermal design Cryogenics system Power Supply Task list for Magnet Tesla Correction coil R4.0m

21. 21 Magnetic field calculation - Optimize iron yoke configuration Field uniformity<2mm +Correction coil Try to loose amount of iron Support structure for iron yoke (barrel yoke/end yoke) How support the yoke against forces. Fixture, Bolts? Configuration, Size → Calculation: Self-weight, magnetic force, seismic force? The size of support → Minimize as possible Yoke assembling Size/Weight of one layer(plate) → Out of (Fabrication, transportation,crane?) limit. → Assembled from several piece of segments. Segment configuration with keeping stiffness as complete one structure has to be considered. Construction Make a construction procedure → Easy/quick construction with high assembling accuracy. Adjust way to the beam line/level Maintenance procedures Design: Easy/quick access mechanism to the inner detector. Design support structure for inner detector Cable Earthquake Self-weight Mag. force Solenoid Barrel Yoke B Uniformity Task list for Iron Yoke Tesla End Yoke

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23. 23 Max. 8.5mm 208MPa >120MPa Fixed (Edge) Stress/deformation of End Yoke