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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
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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 as measure of power in • Used cooling after beam off for measure of power out
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 • Used cooldowns at technical stops or MDs
Outlook for 2012 2600 bunches
Longer-term behaviour • Saturation of temperature after a few fills • Assumed 15 h coast, 4h turnaround (to 3.5 TeV) 50 ns, 1.6e11 per bunch
Temperature at injection • Cooling at about 3 deg per hour • Cool to ‘interlock’ level after less than 1 h after dump • Cool to 334 K (61 C) after 2 h 50 ns, 1.6e11 per bunch
Temperature at injection • With 2e11 in 50 ns might be in trouble • 2 h to cool to interlock limit • 4 h to reach 334 K (61 C) 50 ns, 2.0e11 per bunch
Looks better for 25 ns • Cooling at about 3 deg per hour • Cool to ‘interlock’ level after less than 1 h after dump • Cool to 334 K (61 C) after 2 h 50 ns, 1.6e11 per bunch
Conclusions • Worse for 2012 if push 50 ns intensity • Might affect operation at 2e11 per bunch • 25 ns seems to have more margin – looks OK for 1.1e11 per bunch and 2600 b