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July 13, ‘05. Design of Solenoid and iron yoke for GLD. KEK Hiroshi Yamaoka Ken-ichi Tanaka. Iron Yoke. Solenoid. Cable. Muon Tracker. Self-weight. H-Cal. EM Cal. TPC. Uniformity. VTX. B. Mag. force. Earthquake. Introduction. Solenoid/Iron yoke Magnetic field: 3T
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July 13, ‘05 Design of Solenoid and iron yoke for GLD KEK Hiroshi Yamaoka Ken-ichi Tanaka
Iron Yoke Solenoid Cable Muon Tracker Self-weight H-Cal EM Cal TPC Uniformity VTX B Mag. force Earthquake Introduction Solenoid/Iron yoke Magnetic field:3T Mean radius:4m Uniformity(TPC):<2mm 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
Boundary condition Permeability Belle Magnetic Field Bc= 3 Tesla Material: S10C(JIS) Carbon= 0.1wt% st=310MPa se=205MPa sallow=120MPa Field Uniformity <2mm Z2 Solenoid R2 These dimensions are fixed, Coil length, yoke dimensions are changed. 3T
2mm R2.05m R1.8m 1 R1.0m 4.3mm R0.4m 0 30mm 4.2mm In the previous meeting(ACFA7 in Taipei), *Air gap=10cm 8 layers Iron <2mm Superconductor 2 layers coil + No correction Coil (For ATLAS) NbTi:Cu:Al= 1:0.9:15.6 Strand diameter: 1.23mm Filament diameter: 20mm Jc in NbTi at 5T, 4.2K: > 2750A/mm2 Ic at 5T, 4.2K: > 20300A
18.8kA 24.5kA Tesla Solenoid 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
Calculations Coil-L R4.0m 4.25m Coil-M Coil-C Jcorr/Jmain • To satisfy field homogeneity in TPC volume, this value must be at least less then 0.3%. Hopeless...
Coil-L Coil-M Coil-C R4.0m dz 4.25m io Jcorr/Jmain Added!
0.1 0 -0.1 -0.2 -0.3 Uniformity(mm) -0.4 -0.5 -0.6 0 0.5 1 1.5 2 2.5 Distance from center (m) A’. Unif.<2mm, No correction Coil A. Unif.<2mm, With correction Coil 6 layers 8 layers -0.6mm 2mm Coil length(Half)=4.93m Coil length(Half)=4.43m B. Unif.<20mm, No correction Coil Iron 7 layers 18mm *Air gap=10cm Coil length(Half)=4.68m
Magnetic Field/Flux lines A. Unif.<2mm, With correction Coil, Air gap=10cm Magnetic Field in the TPC Leakage Field along the beam line Min. 2.994T Max. 2.998T
0.3 0.2 0.1 0 Uniformity (mm) -0.1 -0.2 -0.3 -0.4 0 0.5 1 1.5 2 2.5 Distance from center (m) In case of Air gap=5cm + Corr. coil Magnetic Field/Flux lines - Half Coil length: 4.32m (5cm gap) 4.43m (10cm gap) - Width of Iron Yoke 7.14m (5cm gap) 7.45m (10cm gap) Magnetic Field in the TPC
Stress/deformation of Iron Yoke Self-weight Mag. force Earthquake Self-weight Seismic force 7700tons Magnetic force 0.3GxSelf-weight = 18400tons 18400tons ANSYS: 18342tons Symmetry is NOT defined!
0.8mm Results Against Self-weight 7700tons 1.5mm Seismic force Support positions 0.3G Thickness= 5cm Stress level is small enough.
End Yoke Fixed (Faces) 18400tons Results 4mm Fixed (Faces) 55MPa <120MPa(sa)
4.3mm 30mm 45mm 4.2mm 6.5mm Solenoid magnet t40mm Al support cylinder t30mm 50cm t100mm 2 layers 4 layers t60mm 2 layers coil + Correction Coil(4 layers) Superconductor (Based on ATLAS coil) NbTi:Cu:Al= 1:0.9:15.6 Strand diameter: 1.23mm Filament diameter: 20mm Jc in NbTi at 5T, 4.2K: > 2750A/mm2 Ic at 5T, 4.2K: > 20300A
Deformation of the coil (By K.Tanaka) Support cylinder (t=30mm, Aluminum) Conductor (h=45mm) Solenoid center 3mm 7mm R4.0m 4.43m(Half) Stress level in the coil (By K. Tanaka) Development of High-strength Al Von Mises Circum. direction Axial direction Compression By Makida
2000tons Fixed Fixed 2000tons x0.3G 125MPa Fixed Fixed 9mm Cryostat Material: SUS304 t=40mm(Outer vac. wall) t=60mm(Inner vac. wall) t=100mm (End plate) 118MPa<140MPa 9mm
Conclusion Moun Iron Yoke EM-Cal Solenoid H-Cal Main track Solenoid Magnet 50cm t=50mm 2 layers 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.
Next step Urgent! Assembly procedure Required space for detector hall Other items 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
B=3T Task list for Magnet 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 Iron Yoke Solenoid R4.0m Tesla Correction coil
Uniformity B Task list for Iron Yoke 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 Barrel Yoke Cable Solenoid End Yoke Self-weight Mag. force Earthquake Tesla
Stress/deformation of End Yoke Fixed (Edge) 208MPa >120MPa Max. 8.5mm