Booster SHC Modeling - Fermilab

Booster SHC Modeling Quarter Model setup As a first step check, a quarter model of the cavity is set up in Omega3P, based on the SAT file provided by Gennady. Quarter Model Tuning Average averageu averageas averagea averagefunction averageof averagef 4.5 Ferrite material: average =14.4, no ferrite heating loss . 4 3 Gennady e=14.4 2.5

2 From Gennady , 2nd harmonic Booster cavity status and plan, Apr 2nd 1.5 1 70 75 80 85 90 95 100 105

f average(MHz) The frequency tuning agrees very well with Gennadys results. 110 ' averageaverage Average averageu 3.5 Average ' as a function of frequency ' ' as a function of frequencya s ' as a function of frequencya ' as a function of frequencyfunction ' as a function of frequencyo f ' as a function of frequencyfrequency 4.5 4 3.5 3 2.5 2 1.5

1 70 75 80 85 90 95 100 105 110 MHz Thermal heating with constant u Omega3P Simulation B field Magnitude F = 75.503 MHz For V_peak = 100 KV: P_ferrite_e = 8.11 kW P_ferrite_m = 63.25 kW P_ferrite = 71.36 kW P_copper = 9.14 kW The Omega3P simulation agrees well with Gennadys results. Gennadys results from May212015_2nd_Harm