Segreti, Lorin, Durante 11 July 2017 ECC block design Segreti, Lorin, Durante 11 July 2017

Emag design – New assumptions Interbeam distance: 194 mm (as LHC) High field strand diameter: 1.1 mm (for procurement reason) Heat treatment dimensional change: +1% width ; +3% thickness Yoke outer diameter: 570 mm (more room for the Al shell) Bore thickness: 1.9 mm, including 0.5 mm thick (?) ground insulation Space for He cooling 2xDN105 + 4xDN30 -> All of theses items lead to an increase of the qty of conductor

v2ari194 Quantity v20ar v1ari204 v2ari194 Unit strand diameter 1.155 – 0.705 1.15 – 0.70 1.1 – 0.7 mm nb of strands 21 – 35 20 – 34 21 – 34 N/A BE - Cable width 13.05 12.6 12.47 BE - Cable thickness 2.1 – 1.25 1.94 – 1.23 AF - Cable width x AF - Cable thickness 2.0 – 1.27 Cu/nonCu 0.8– 2.3 0.8– 2.0 0.8 – 2.0 (1.7) Inom 10990 10480 10000 A Bpeak 16.74 16.72 16.76 T LL margin (1.9 K) 14.01 13.93 13.86 % Inductance diff. (2 ap) 39.80 44.2 50.2 mH/m Stored energy (2 ap) 2518 2542 2647 kJ/m Nb of turns 104 = 5+5+10+10 +18+18+19+19 108 = 5+5+9+9 +19+19+21+21 116 = 5+5+10+10+21+21+22+22 - Fx & Fy (per ½-coil) 8042 & -3347 8042 & -3329 8269 & -3535 kN/m Hotspot 349 351 329 (346) K Bore thickness 1.75 1.6 1.9 Midplane shim 2.25 2.35 LdxI (1 aperture) 218 232 251 HA/m I/Ic HF-LF 0.47 – 0.61 Out yoke diameter 800 750 570 Conductor area (2 ap) 133.7 130.3 137.9 cm² 4578 x 14.3 x 8.7 weight 7614 7420 7860 tons v2ari194

2D design

Harmonic content

Mechanical model ACTUAL MODEL V2ari194 (interbeam distance = 194 mm) with outer yoke Ø = 570 mm 105 mm thick shell 1.14 mm ← 50 µm ↓ Contacts/symmetry: sliding; no friction glued: coils with pole via a Kapton insulation and all coils together ¼ of the structure due to symmetries

Coil stress distribution Key Cold – 4.2 K 16 T σX -137 MPa -204 MPa -196 MPa von Mises +147 MPa +181 MPa +190 MPa

σx at coil / pole interface

Synthesis with Ø yoke = 750 mm interbeam distance = 204 mm 90 mm thick shell 850 µm ← with Ø yoke = 600 mm interbeam distance = 204 mm 100 mm thick shell 1 mm ← with Ø yoke = 570 mm interbeam distance = 194 mm 105 mm thick shell 1.14 mm ← σX max σ Von Mises max Keys -134 125 Cool-down -203 187 Energization 16 T -201 207 σX max σ Von Mises max Keys -132 120 Cool-down -209 186 Energization 16 T -202 203 σX max σ Von Mises max Keys -137 147 Cool-down -204 181 Energization 16 T -196 190