Influence of Austenitic Steel Collar Dimensions on Magnetic Field Harmonics in the LHC Main Dipole

The influence of the geometry of the collars in the main LHC dipole on the magnetic field harmonics is analyzed. The study aims at finding if the collar geometry is the driving mechanism of field quality for some harmonics and if the two different collar suppliers give a special signature on the magnetic field. Data of more than 700 magnets of the LHC series dipoles are analyzed and discussed. The main result of the analysis is that the collar shape is the driving mechanism of the magnetic field harmonics only for b2 and a3 in one of the three Cold Mass Assemblers (Firm3), where only collars of the supplier S2 are used. Two independent observations support this fact: firstly, strong correlations between apertures of the same magnet as expected from the assembly procedure have been found. Secondly, the expected values based on the measured dimensions of the collars and on a magneto-static model agree with magnetic measurements both for the average and for the standard deviation.