Development of a Superconducting Sextupole-Dipole Corrector Magnet

Electromagnetic design of superconducting multipole corrector magnets based on sector coils

“…To assess the validity of the vector potential formulas obtained in Eqs. (11) to (14), we have derived the magnetic field associated with it using ⃗ B ¼ ⃗ ∇ × ⃗ A (see the Appendix) and have compared it in [8] to the magnetic field expressions in the aperture and in the winding of a sector coil given by Asner in [4] for the case a μ ¼ 1 [see Eq. (4) above], i.e., considering the iron screen as unsaturated [see discussion on Eq.…”

“…4), we adjust its coil width w such that its area is equal to that of the cosine-theta coil, as in [10], considering that every other parameter is the same (e.g., same engineering current density J, same ampere-turn value per coil, same aperture radius r a , same iron screen radius r s ). For a cosine-theta coil made of N C Ribbon cables [11], each cable having a height h C and a width w C (as depicted in Fig. 4), the coil width w of its equivalent sector coil can be derived from the equality of coil areas, as in [10], and is given by…”

“…BEAMS 23, 012402 (2020) 012402-9 parameters: aperture radius r a ¼ 25 mm, percentage along the magnet load line l ¼ 80%, operating temperature T op ¼ 1.9 K, distance between coil and iron screen g ¼ 3.78 mm (taken identical to the one of LHC MS, as a conservative reference), maximum copper current density J Cu;max ¼ 1000 A=mm 2 . To avoid any ambiguity, the term "iron screen" refers to the iron scissor laminations used in the LHC corrector magnets (see [11]).…”