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Superconducting Magnet Systems for Muon Cooling Channels: Design Considerations and Parameters

This document discusses the design considerations and parameters for superconducting magnet systems in muon cooling channels, including solenoids, helical dipoles, and quadrupoles. It details the field strengths, coil configurations, and manufacturing issues, providing insights into optimizing performance and ensuring mechanical stability. The importance of testing individual sections, optimizing current values, and implementing quench protection is emphasized for system reliability. Suitable cryogenic cooling and structure durability are essential for the successful operation of these magnet systems.

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Superconducting Magnet Systems for Muon Cooling Channels: Design Considerations and Parameters

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  1. Muon Cooling ChannelSuperconducting Magnet SystemsMuon Collider Task Force Meeting on July 31, 2006V.S. Kashikhin

  2. Muon Cooling Channel Design • K. Yonehara - Muon Beam Cooling Simulations • V.V. Kashikhin - Helix Dipole + Solenoid • V.S. Kashikhin - Helix Solenoid • I. Novitski - Mechanical Design • M. Kuchler - Cryostat conceptual design • A. Zlobin - Quench protection • N. Andreev - Design and manufacturing issues

  3. Magnet System Parameters Maximum solenoidal field at z = 0 - 4.4 Tesla Minimum solenoidal field at z = 4 m - 2.2 Tesla • Two magnet system versions under consideration: • Large Bore Solenoid + Helical Dipole + Helical Quadrupole • Helix Solenoid + Correction Coils

  4. Superconducting Solenoid LHC Cables parameters: Inner cable 14 kA at 7 T & 4.2 K Outer cable 8.5 kA at 7 T & 4.2 K LHC short samples: Jc = 2750 A/mm2 at 5 T & 4.2 K LHC cables leftover: Inner cable - 1400 m Outer cable - 2660 m • Solenoid has 8-12 sections wound separately on identical bobbins • All sections connected in series • Ferromagnetic end plates improve ends field quality • Holes in end plates provide path for muon beam inlet and outlet • Needed coil mechanical stability provided by SS or Al bandage

  5. Solenoid Magnetic Field Flux lines of solenoidal field Specified linear solenoidal field decay along Z axis provided by proper chosen number of turns for each section: W1= 243 W5 = 136 W2 = 184 W6 = 126 W3 = 158 W7 = 114 W4 = 147 W8 = 114 Solenoid flux density distribution, Bmax = 5 Tesla

  6. Helical Dipole, Quadrupole, Sextupole Shell type Helix Coils have length 1,2,3 and 4 meters and wound one after other. They will be epoxy impregnated together. Support cylinder will provide mechanical stability. Because of relatively low field decay 1 m long sections will be enough for proper field approximation.

  7. Helical Dipole + Solenoid Red – Sectional Large Bore Solenoid Blue –Helical Dipole, several shell type dipoles with different length for field decay

  8. Helical Dipole+Solenoid Solenoid maximum field 7.2 Tesla Inner bore diameter 1 meter Number of solenoid sections - 12 Number of dipole sections - 4

  9. Helical Dipole + Solenoid Only first sections in high field area Half solenoid has less than 4 Tesla field

  10. Helical Dipole + Solenoid Good agreement with analytical field used by K.Yonehara for beam cooling simulation

  11. Helical Solenoid Helical Solenoid: Small bore diameter 0.5 m Helix period 1.6 m Number of coils 73 Coil width 50 mm Outer helix diameter 1 m Max coil current 201 kA

  12. Helical Solenoid Fields Field at radius 0.49 m Field at center orbit radius 0.255 m Max field 4.3 T

  13. Helical Solenoid Fields Field at 0.255 m radius with helix period 1.6 m

  14. Helical Solenoid Quadrupole Field Period 1.6 m, G=-0.83 T/m, dG/dz=-0.11 (T/m)/m Helix Solenoid Gradient Period 1.4 m, G=-1.0 T/m K. Yonehara, AD Meeting July 27, 2006 Kappa = 0.8, Helix period = 2 m, G = -0.8 T/m Kappa = 1.0, Helix period = 1.6 m, G=-0.83 T/m Kappa = 1.15, Helix period = 1.4 m, G=-1.0 T/m Specified dG/dz = -0.1 T/m

  15. Summary • Both superconducting magnet systems are feasible • Short sections approach is a reasonable way of system manufacturing • Beam inlet and outlet matching areas should be investigated • Values of operating currents and current leads number should be optimized • Superconducting test of separate sections is an economic way to control • whole system performance and reduces the risk • Labor of helical coils fabrication is relatively large. Configuration and number of coil sections should be optimized • Mechanical structure should be capable to withstand large Lorentz forces • Magnet cryogenic system should provide effective cooling at 4.2-4.5 K • Active quench protection system should be used to protect magnet system

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