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PSB magnetic cycle 160 MeV to 2 GeV with 2.5E13 protons per ring

Specifications 2.5E13 p from 160 MeV to 2 GeV Current in bending magnets < 2267 A RMS +10% = 2493 A RMS with 1.2 second cycle (no modification of the cooling circuit). MPS model : L= 0.18H, R=0.5 Ω , Umax =3600V, B/I=2.15G/A Cavity voltage limited to 8 kV.

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PSB magnetic cycle 160 MeV to 2 GeV with 2.5E13 protons per ring

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  1. Specifications 2.5E13 p from 160 MeV to 2 GeV Current in bending magnets < 2267 ARMS +10% = 2493 ARMS with 1.2 second cycle (no modification of the cooling circuit). MPS model: L= 0.18H, R=0.5Ω, Umax=3600V, B/I=2.15G/A Cavity voltage limited to 8 kV. Longitudinal space charge effects taken into account PSB magnetic cycle160 MeV to 2 GeV with 2.5E13 protons per ring 2 GeV magnetic cycle 25/05/2010

  2. Simplifications Pure h=1 acceleration Inductive and resistive wall effect neglected (impedance value to be asked for, but practically assumed to be low !?). The inductive effect counteracts the space charge effect. All these (pessimistic) simplifications lead to conservative figures PSB magnetic cycle160 MeV to 2 GeV with 2.5E13 protons per ring 2 GeV magnetic cycle 25/05/2010

  3. Longitudinal space charge effect Total coupling impedance: Z0 = 377 Ω Parasitic voltage superimposed (each turn) to the accelerating voltage (space charge only): PSB magnetic cycle160 MeV to 2 GeV with 2.5E13 protons per ring Inductive and resistive wall neglected Circular beam pipe approximation (real value to be checked for) 2 GeV magnetic cycle 25/05/2010

  4. Longitudinal space charge effect Parasitic voltage superimposed (each turn) to the accelerating voltage (space charge only): PSB magnetic cycle160 MeV to 2 GeV with 2.5E13 protons per ring 2 GeV magnetic cycle 25/05/2010

  5. Simulation 1: injection at 1.2 T/s, 8kV (- SC) bucket filled up to 80 % with 2.5E13p (0.77 eV.s instead of 1.02 as planned) PSB magnetic cycle160 MeV to 2 GeV with 2.5E13 protons per ring The acceleration lasts 470 ms with a 5 ms flat-top (490 ms presently) 2 GeV magnetic cycle 25/05/2010

  6. Simulation 1: injection at 1.2 T/s, 8kV (- SC) bucket filled up to 80 % with 2.5E13p (0.77 eV.s instead of 1.02 as planned) PSB magnetic cycle160 MeV to 2 GeV with 2.5E13 protons per ring The acceleration lasts 470 ms with a 5 ms flat-top (490 ms presently) 2 GeV magnetic cycle 25/05/2010

  7. Simulation 1: injection at 1.2 T/s, 8kV (- SC) bucket filled up to 80 % with 2.5E13p (0.77 eV.s instead of 1.02 as planned) PSB magnetic cycle160 MeV to 2 GeV with 2.5E13 protons per ring The acceleration lasts 470 ms with a 5 ms flat-top (490 ms presently) 2 GeV magnetic cycle 25/05/2010

  8. Conclusion: These simulations concerns h1 uniquely, for a single harmonic acceleration made as fast as possible with a 8 kV h1 cavity and a beam emittance of 0.77 eV.s(80% of the 8 kV-SC bucket at injection) instead of the 1.02 eV.s beam planned at first. The rf h1 cavity needs to supply 6 A of “accelerating current” (3 A presently available). The MPS with a voltage limited to 3600 V is not fast enough to be compatible with a 1.2 s cycle. Even if the MPS voltage is increased, with the h1 cavities limited at 8 kV, its RMS current will go above the limit of 2493 A PSB magnetic cycle160 MeV to 2 GeV with 2.5E13 protons per ring 2 GeV magnetic cycle 25/05/2010

  9. To be done: Make simulations with new “realistic” values for the MPS max voltage (>3600V) and the max RMS current (> 2490 A). PSB magnetic cycle160 MeV to 2 GeV with 2.5E13 protons per ring 2 GeV magnetic cycle 25/05/2010

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