1. Case study 1 : Quadrupole for Hi-Lumi LHC upgrade CAS Erice 2013 Group 1B A. Shornikov, T. Spina, Y. Arimoto, P. V. Gade, K. Brodzinski

2. Coil sizing for given aperture and max gradient Aperture: r=75 mm, max close to 200 T/m W = 40 mm λ = 1.14 B p = 12.9 T (for G=150 T/m) j = 529 A/mm 2

3. Strands and cable parameters Fill factor used for translation of Jo_ss to Jsc_ss Jsc_ss = 1975 A/mm 2 N strand46 Area sc cable12.399 Strand d (mm)0.85 Area copper cable13.704 Cable width (mm)20.00Area ins cable37.494 Cable in thickn. (mm)1.547 Fill fact (k)0.331 Cable out thickn. (mm)1.659 Keystone angle0.64 Ins0.15 Cu%52.5 Sc%47.5 Cu/Sc ration1.10

4. Load line

5. Coil stress 5.16 MN 2.41 MN

6. Coil and yoke geometry t iron = 0.21 m (for B sat =2 T) One wedge coil sets to zero b 6 and b 10 in quadrupoles: Layer 1 ~[0°-24°, 30°-36°] Layer 2 ~[0°-30°] +collars and Alu compression shell = We need a special cryostat for this magnet

7. Dimension beyond the physics Bi2212 vs YBCO