Case Study 2 – NiTi Quadrupole magnet
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Transcript of Case Study 2 – NiTi Quadrupole magnet
Cern Accelerator Schoo, Erice 20131
Cern Accelerator School, Erice
Case Study 2 – NiTi Quadrupole magnet
C. Bayer, L. Dassa, R. Principe, R. Vallcorba, D. Valuch, J. Vogt
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1. Motivation
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1. Motivation
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Quadrupole magnet of NiTi for triplet
x
z
y
Emittence at 90%
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2. Cable design
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2. Cable design
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Parameters
h𝑅𝑢𝑡 𝑒𝑟𝑓𝑜𝑟𝑑𝑁𝑖𝑇𝑖𝐶𝑎𝑏𝑙𝑒
N strand 40Strand d (mm) 0.85Cable width (mm) 17.5Cable in thickn. (mm) 1.389Cable out thickn. (mm) 1.59Keystone angle 0.66Ins 0.15Cu% 54.5Sc% 45.5Cu/Sc ration 1.2
Area SC cable (mm²) 10.328Area copper cable (mm²) 12.484Area ins cable (mm²) 31.853Fill fact 0.324
𝐶𝑢−𝑂𝐹𝐶
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3. Magnetic gradient
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3. Magnetic gradient
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• κ = 0.324• w = 35 mm
= 146 T/m = 10.0 T
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4. Current calculation
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4. Current calculation
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Parameters
Necessary current density:
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4. Current calculation
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Parameters
Necessary current density:
Area inside cable 31.853 mm²Area SC cable 10.328 mm²
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4. Current calculation
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Operation parameters Single strand parameters
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5. Mechanical stabilization
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5. Mechanical stabilization
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Thickness fo the shrinking cylinder4.2 mm + savety thickness
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5. Mechanical stress of the mid plane
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0.06 0.065 0.07 0.075 0.08 0.085 0.09 0.095 0.1
-70.00
-65.00
-60.00
-55.00
-50.00
-45.00
-40.00
-35.00
-30.00
r / m
σy /
MPa
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6. Iron yoke dimension
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6. Ion yoke dimension
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→ 𝑡 𝑟 ² ∙𝐺𝑠𝑠90%
2 ∙𝐵𝑠𝑎𝑡=0.118m
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6. Ion yoke dimension
→ 𝑡 𝑟 ² ∙𝐺𝑠𝑠90%
2 ∙𝐵𝑠𝑎𝑡=0.118m
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𝑅𝑟 =
0.12𝑚0.06𝑚=2
𝑤𝑟 =0.58
increasing of the mainfield by ~ 38%
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7. Coil layout verification and optimization
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7. Coil layout verification and optimization
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Two layers, one wedge b6 = b10 = b14 = 0 [0 – 21.5, 26.2 – 33.5]
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7. Coil layout verification and optimization
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magnet center 𝐺𝑜𝑝 130𝑇𝑚
Two layers, one wedge b6 = b10 = b14 = 0 [0 – 21.5, 26.2 – 33.5]
requested aperture (120 mm)
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7. Coil layout verification and optimization
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7. Coil layout verification and optimization
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Superconducting magnets for particle accelerators H. Felice, P. Ferracin, S. Prestamon, E. Todesco,http://etodesco.home.cern.ch/etodesco/, USPAS, 2011.
Cable Design Optimization for HTS ApplicationsA. Ballarino, B. Bordini, L. Oberli, D. Richter,C. Scheuerlein and E. Seiler
Magnetic DesignE. Todesco
Superconductors for MagnetsR. Flükiger
Mechanical design of superconducting accelerator magnetsF. Toral
Basic course on accelerator opticsJ. Rossbach, Deutsches Elektronen-Synchrotron DESYP. Schmüser, II. Institut für Experimentalphysik, Universität Hamburg, F.R. Germany
Quadrupole Magnetshttp://www.lhc-facts.ch/img/quadrupol/Quadrupol%20Schema%20xyz.jpg
Reference list
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5. Critical criteria
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