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A Linear Framework for Orbit Correction in the High-Luminosity Large Hadron Collider

Andersson, Joel LU (2019) In Master's Theses in Mathematical Sciences FMNM01 20192
Mathematics (Faculty of Engineering)
Abstract
In a circular accelerator the closed orbit can be viewed as the mean position of particles in a beam. The closed orbit is perturbed by machine errors and can be manipulated by dedicated corrector magnets. This thesis introduces a linear algebra framework for closed orbit perturbation and correction, its implementation as a Python package and its use for three studies in HL--LHC: orbit corrector budget, orbit feedback expected performance analysis and specifications for new beam position monitors. The orbit corrector budget is formulated as a convex optimization problem and solved for the current iteration of HL--LHC. Results based on a simplified model for the orbit feedback are presented, showcasing its inefficacy in maintaining collision... (More)
In a circular accelerator the closed orbit can be viewed as the mean position of particles in a beam. The closed orbit is perturbed by machine errors and can be manipulated by dedicated corrector magnets. This thesis introduces a linear algebra framework for closed orbit perturbation and correction, its implementation as a Python package and its use for three studies in HL--LHC: orbit corrector budget, orbit feedback expected performance analysis and specifications for new beam position monitors. The orbit corrector budget is formulated as a convex optimization problem and solved for the current iteration of HL--LHC. Results based on a simplified model for the orbit feedback are presented, showcasing its inefficacy in maintaining collision on its own and the inherent stability in LHC. Necessary short-term beam position monitor stability for adequate position-based correction of beam separation is estimated to be under one micrometer. Finally, optimizing over linear correction strategies is offered as an interesting venue for further research. (Less)
Popular Abstract
The High-Luminosity Large Hadron Collider (HL-LHC) is the next and largest circular accelerator to be added to CERN. It being a large and complex machine, numerical studies are integral to its development. One important aspect to study is the beam orbit, simplified, the shape of the particle beams in the machine. Misalignments and design errors in magnets perturb the orbit, and this has to be corrected for using dedicated magnets called orbit correctors. This thesis provides a framework written in the programming language Python for computing orbit perturbation and corrections in HL-LHC.
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author
Andersson, Joel LU
supervisor
organization
alternative title
Ett linjärt ramverk för bankorrigering i High-Luminosity Large Hadron Collider
course
FMNM01 20192
year
type
H2 - Master's Degree (Two Years)
subject
keywords
CERN, HL-LHC, LHC, accelerator physics, orbit correction, error correction, closed orbit, Twiss, beam dynamics, dynamical systems, Python
publication/series
Master's Theses in Mathematical Sciences
report number
LUTFMA-3393-2019
ISSN
1404-6342
language
English
id
8998721
date added to LUP
2020-01-23 13:16:52
date last changed
2020-01-23 13:16:52
@misc{8998721,
  abstract     = {{In a circular accelerator the closed orbit can be viewed as the mean position of particles in a beam. The closed orbit is perturbed by machine errors and can be manipulated by dedicated corrector magnets. This thesis introduces a linear algebra framework for closed orbit perturbation and correction, its implementation as a Python package and its use for three studies in HL--LHC: orbit corrector budget, orbit feedback expected performance analysis and specifications for new beam position monitors. The orbit corrector budget is formulated as a convex optimization problem and solved for the current iteration of HL--LHC. Results based on a simplified model for the orbit feedback are presented, showcasing its inefficacy in maintaining collision on its own and the inherent stability in LHC. Necessary short-term beam position monitor stability for adequate position-based correction of beam separation is estimated to be under one micrometer. Finally, optimizing over linear correction strategies is offered as an interesting venue for further research.}},
  author       = {{Andersson, Joel}},
  issn         = {{1404-6342}},
  language     = {{eng}},
  note         = {{Student Paper}},
  series       = {{Master's Theses in Mathematical Sciences}},
  title        = {{A Linear Framework for Orbit Correction in the High-Luminosity Large Hadron Collider}},
  year         = {{2019}},
}