A Linear Framework for Orbit Correction in the High-Luminosity Large Hadron Collider
(2019) In Master's Theses in Mathematical Sciences FMNM01 20192Mathematics (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.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/8998721
- author
- Andersson, Joel ^{LU}
- supervisor
- organization
- alternative title
- Ett linjärt ramverk för bankorrigering i High-Luminosity Large Hadron Collider
- course
- FMNM01 20192
- year
- 2019
- 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}}, }