Author: Rivetta, C.H.
Paper Title Page
MOPS089 Identification of Bunch Dynamics in the Presence of E-cloud and TMCI for the CERN SPS Ring 811
 
  • O. Turgut, J.D. Fox, C.H. Rivetta, S. Uemura
    SLAC, Menlo Park, California, USA
  • W. Höfle
    CERN, Geneva, Switzerland
 
  Funding: Work is supported by the U.S. Department of Energy under contract DE-AC02-76SF00515 and the US LHC Accelerator Research Program (LARP).
Mea­sure­ments and mul­ti-par­ti­cle sim­u­la­tion codes (i.e. HEAD-TAIL, WARP, CMAD) in­di­cate that bunched par­ti­cle beams show un­sta­ble mo­tions in­duced by elec­tron-clouds and strong head-tail in­ter­ac­tions. The bunch dy­nam­ics ex­hibits high­ly non-lin­ear, com­plex and un­sta­ble be­hav­ior under cer­tain op­er­at­ing con­di­tions. Feed­back con­trol sys­tems have been pro­posed to mit­i­gate these in­sta­bil­i­ties in the CERN SPS ring. The de­sign of feed­back sys­tems re­quires the knowl­edge of a re­duced dy­nam­ic model of the bunch. It al­lows to in­clude and quan­ti­fy the ef­fect of noise and sig­nal per­tur­ba­tions, as well as sys­tem ro­bust­ness to pa­ram­e­ter vari­a­tion. Iden­ti­fi­ca­tion tech­niques are used to es­ti­mate those mod­els based on bunch mo­tion mea­sure­ments. In this work we pre­sent re­duced math­e­mat­i­cal mod­els rep­re­sent­ing the trans­verse bunch dy­nam­ics and iden­ti­fi­ca­tion tech­niques to ex­tract the model pa­ram­e­ters based on mea­sure­ments. These tech­niques are val­i­dat­ed using time do­main sim­u­la­tions of the bunch mo­tion con­duct­ed using mul­ti-par­ti­cle sim­u­la­tion codes. For that, dif­fer­ent sec­tions of the bunch are driv­en by ran­dom sig­nals, and the ver­ti­cal mo­tion of those areas is used to es­ti­mate the re­duced model.