Post on 11-Feb-2016
description
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
Cern Accelerator Schoo, Erice 20132
1. Motivation
Case study 2 – NiTi Quadrupole magnet
[1]
02.05.2013
Cern Accelerator Schoo, Erice 20133
1. Motivation
Case study 2 – NiTi Quadrupole magnet02.05.2013
Quadrupole magnet of NiTi for triplet
x
z
y
Emittence at 90%
Cern Accelerator Schoo, Erice 20134
2. Cable design
Case study 2 – NiTi Quadrupole magnet
[1]
02.05.2013
Cern Accelerator Schoo, Erice 20135
2. Cable design
Case study 2 – NiTi Quadrupole magnet02.05.2013
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
Cern Accelerator Schoo, Erice 20136
3. Magnetic gradient
Case study 2 – NiTi Quadrupole magnet
[1]
02.05.2013
Cern Accelerator Schoo, Erice 20137
3. Magnetic gradient
Case study 2 – NiTi Quadrupole magnet02.05.2013
• κ = 0.324• w = 35 mm
= 146 T/m = 10.0 T
Cern Accelerator Schoo, Erice 20138
4. Current calculation
Case study 2 – NiTi Quadrupole magnet
[1]
02.05.2013
Cern Accelerator Schoo, Erice 20139
4. Current calculation
Case study 2 – NiTi Quadrupole magnet02.05.2013
Parameters
Necessary current density:
Cern Accelerator Schoo, Erice 201310
4. Current calculation
Case study 2 – NiTi Quadrupole magnet02.05.2013
Parameters
Necessary current density:
Area inside cable 31.853 mm²Area SC cable 10.328 mm²
Cern Accelerator Schoo, Erice 201311
4. Current calculation
Case study 2 – NiTi Quadrupole magnet02.05.2013
Operation parameters Single strand parameters
Cern Accelerator Schoo, Erice 201312
5. Mechanical stabilization
Case study 2 – NiTi Quadrupole magnet
[1]
02.05.2013
Cern Accelerator Schoo, Erice 201313
5. Mechanical stabilization
Case study 2 – NiTi Quadrupole magnet02.05.2013
Thickness fo the shrinking cylinder4.2 mm + savety thickness
Cern Accelerator Schoo, Erice 201314
5. Mechanical stress of the mid plane
Case study 2 – NiTi Quadrupole magnet02.05.2013
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
Cern Accelerator Schoo, Erice 201315
6. Iron yoke dimension
Case study 2 – NiTi Quadrupole magnet
[1]
02.05.2013
Cern Accelerator Schoo, Erice 201316
6. Ion yoke dimension
Case study 2 – NiTi Quadrupole magnet02.05.2013
→ 𝑡 𝑟 ² ∙𝐺𝑠𝑠90%
2 ∙𝐵𝑠𝑎𝑡=0.118m
Cern Accelerator Schoo, Erice 201317
6. Ion yoke dimension
→ 𝑡 𝑟 ² ∙𝐺𝑠𝑠90%
2 ∙𝐵𝑠𝑎𝑡=0.118m
Case study 2 – NiTi Quadrupole magnet02.05.2013
𝑅𝑟 =
0.12𝑚0.06𝑚=2
𝑤𝑟 =0.58
increasing of the mainfield by ~ 38%
Cern Accelerator Schoo, Erice 201318
7. Coil layout verification and optimization
Case study 2 – NiTi Quadrupole magnet
[1]
02.05.2013
Cern Accelerator Schoo, Erice 201319
7. Coil layout verification and optimization
Case study 2 – NiTi Quadrupole magnet02.05.2013
Two layers, one wedge b6 = b10 = b14 = 0 [0 – 21.5, 26.2 – 33.5]
Cern Accelerator Schoo, Erice 201320
7. Coil layout verification and optimization
Case study 2 – NiTi Quadrupole magnet02.05.2013
magnet center 𝐺𝑜𝑝 130𝑇𝑚
Two layers, one wedge b6 = b10 = b14 = 0 [0 – 21.5, 26.2 – 33.5]
requested aperture (120 mm)
Cern Accelerator Schoo, Erice 201321
7. Coil layout verification and optimization
Case study 2 – NiTi Quadrupole magnet02.05.2013
Cern Accelerator Schoo, Erice 201322
7. Coil layout verification and optimization
Case study 2 – NiTi Quadrupole magnet02.05.2013
Cern Accelerator Schoo, Erice 201323
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
Case study 2 – NiTi Quadrupole magnet02.05.2013
Cern Accelerator Schoo, Erice 201324
5. Critical criteria
Case study 2 – NiTi Quadrupole magnet02.05.2013