Orbit Correction Analysis and Optimization Schemes by Arman Ballado

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Explore the analysis and optimization of orbit correction schemes in a project by Arman Ballado, focusing on evaluating and optimizing the performance of Beam Position Monitors (BPMs) and Corrector Magnets (CMs) in a model of the Cornell ERL. Various aspects such as Generalized Response Matrix, Singular Value Decomposition, SVD Orbit Correction, Monitor Deficiency, and more are covered in the project.

  • Orbit Correction
  • Analysis
  • Optimization
  • Arman Ballado
  • Cornell ERL

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Presentation Transcript


  1. ANALYSIS AND OPTIMIZATION OF ORBIT CORRECTION SCHEMES Arman Ballado 4/22/2025

  2. Project Description Brief Introduction Many sources of errors along the beam line Loss of particle beam Place BPMs and CMs to monitor and correct orbits Goals Evaluate the performance of a given configuration of BPMs and CMs Optimize Apply to a model of the Cornell ERL

  3. Generalized Response Matrix

  4. Singular Value Decomposition

  5. SVD Orbit Correction

  6. Monitor Deficiency

  7. Large Unobservable Orbit

  8. Monitor Redundancy

  9. Monitor Redundancy

  10. Corrector Deficiency I

  11. Corrector Deficiency II Span of MEM

  12. Corrector Deficiency III

  13. Corrector Redundancy

  14. Sample Section: South Arc

  15. South Arc before Optimization BPMs: 103 Correctors: 62 Error source: Quadrupole x-offset of10 m

  16. South Arc after Optimization BPMs: 103 Correctors: 58 Error source: Quadrupole x-offset of10 m

  17. Corrector Optimization Only BPMs: 103 Correctors: 53 Error source: Quadrupole x-offset of10 m

  18. Full ERL Lattice . . . Simply generate the response matrices . . .

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