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This report analyzes the heating patterns and cooling behaviors of the MKI D5R8 magnet under specific operational conditions. Utilizing data from stable beam fills lasting over 10 hours, a semi-empirical model predicts behavior based on beam power and cooling mechanisms. Preliminary findings include cooling coefficients derived from observed curves and considerations for potential upgrades, including reducing heating through better bunch shaping and new shielding designs. The study emphasizes the derivation of operational limitations and enhancements for future performance.
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Take worst case MKI.D5R8.B2:TEMP_MAGNET_DOWN
Analysis of heating • Took all fills (to end September) where in stable beams for longer than 10 h • Considered only time from top of ramp onwards • Used number of bunches, average bunch current and bunch length as inputs • Fitted initial heating rate (~linear) over first 2 hours
Can we model including cooling? • Semi-empirical model makes reasonable predictions • Replicates cooling after about 12 h • Assuming heating from beam power ( Nb, Ib^2, 1/Lb^2), cooling from radiation ( DT^4) and from conduction ( DT)
Cooling coefficients • Use cooldowns at technical stops or MDs
To do... • Fit all fills with same heating and cooling coefficients • Already started to extract cooling coefficients from the cooling curve when beam switched off • Update with October data • Extrapolate to 2012 and beyond • Derive some ‘operational’ limitations
Concerns and possible upgrades • Reducing heating of MKIs • Reduced bunch length/better bunch shaping • New shielding with more stripes • Question – are temperature rises lower on kickers with more stripes? • Metalised chamber • Improving vacuum in MKIs • NEG coating of 2nd chamber? • Solenoids around 2nd chamber? • New SIS or SS interlocking/procedures? • UFOs in ceramic chambers with kicker pulsing • Coating? Cleaning? • Clearly need to group any upgrades and have common study with all aspects considered