Optics measurement, modeling, and correction - PEP-II experience
RHIC Optics Correction
description
Transcript of RHIC Optics Correction
![Page 1: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/1.jpg)
OpticsCorrection
RHIC Optics Correction
M. BaiC-A Dept., BNL
Mini-workshop on ICA in Beam Measurement and Generic algorithm in Nonlinear beam
dynamics, Bloomington, Indiana, March 14-16, 2012
![Page 2: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/2.jpg)
OpticsCorrectionOutline
• RHIC Optics Design– Offline linear model design– Online implementation
• RHIC optics measurements status• RHIC optics correction status
– ORM approach– AC dipole measurement based
• Summary of commissioning of SBST
• Future plans
![Page 3: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/3.jpg)
OpticsCorrectionRHIC Optics Design
• Build linear model to fulfill desired optics functions for the entire ramp with the constraints/inputs of– Magnet transfer functions– RHIC power supply/shunt currents limit– RHIC magnets’ wire-up scheme– Smooth changes of currents as function of beam
energy
• This is done by MAD
![Page 4: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/4.jpg)
OpticsCorrectionFlowchart of RHIC optics design
Courtesy of S. Tepikian, BNL
![Page 5: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/5.jpg)
OpticsCorrectionRHIC Optics Design
• Build linear model to fulfill desired optics functions for the entire ramp– Output: magnet strength as function of beta*
• Handover the designed magnet strength as function of beta* to OptiCalc, RHIC online model
• OptiCalc then re-generates beta functions for the entire ramp for machine operation. – Mode details on RHIC online model are discussed by
G. Robert-Demolaize tomorrow
![Page 6: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/6.jpg)
OpticsCorrectionRHIC Optics Measurement Techniques
technique Full ring Beta* Online data analysis
Request on beam
conditionsAC dipole based Yes Yes Yes Minimize
tune spreadModulating triplet quadrupole
No Yes No Minimize coupling
Orbit Response Matrix
Yes Yes No N/A
Tune-meter based Yes Yes No Minimize
tune spread
![Page 7: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/7.jpg)
OpticsCorrectionStatus of RHIC Optics Measurement
• Routine full ring beta/phase beat measurement using ac dipole for each operational lattice– Routine ac dipole setup: 0.01 away from betatron tune. A known
systematic of ~6%– Each optics measurement is the average of at least 3 data sets in each
plane. Each data set has 1024 turns. The bpm noise is less than 5%
![Page 8: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/8.jpg)
OpticsCorrectionMeasured Beta and Phase advance: Blue@100 GeV
![Page 9: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/9.jpg)
OpticsCorrectionStatus of RHIC Optics Measurement
• Routine full ring beta/phase beat measurement using ac dipole for each operational lattice
• Routine ORM measurement• Routine beta* measurement
– using ac dipole– Modulating triplet quadrupoles– ORM
![Page 10: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/10.jpg)
OpticsCorrectionStatus of RHIC Optics Corrections
• Focused on commissioning LOCO at RHIC before RUN10– Initiated by T. Satogata ~ 6 years ago– limited quadrupoles to avoid degeneracy problem
• Lumped triplet quads, Q4,Q6,Q8. Dual bpms are available at these quadrupoles
• The data analysis shows the fits should be available to correct 15~20% beta-beat
– Application of ORM analysis to actual machine was a mixed results
• BPM data quality
![Page 11: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/11.jpg)
OpticsCorrectionStatus of RHIC Optics Corrections
• Introduced SBST technique in RUN11 of pp• SBST: Sector By Sector Technique
– It was first developed at LHC led by Dr. R. Tomas, “CERN Large Hadron Collider optics model, measurements, and corrections”, Phys. Rev. ST Accel. Beams 13, 121004 (2010)
– The essence of this technique is to identify localized gradient errors. It assumes that the measured beta-beat mainly comes from the the gradient errors of triplets in IP with small beta*
– Under this assumption, SBST treats part of machine as beamline with initial conditions matched to the measured twiss parameters
– Then calculate the difference of measured phase advance vs. the model phase advance at each bpm
– Can also be used to identify the local coupling error, dispersion error, etc.
![Page 12: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/12.jpg)
OpticsCorrectionSBST Analysis of RHIC Blue Ring at 100 GeV
IP 8
![Page 13: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/13.jpg)
OpticsCorrectionSBST Commissioning in RUN11
• Initial IP6 correction helped to reduce the vertical beta-beat except sector 12-1 and sector 2&3
Actual applied correction: design trimbi5-qf7 0.078881 0.00135248944bo6-tq5 0.0211343 -0.0029438348
Calculated: Q5I6, 0.95Q5O6, 0.96
![Page 14: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/14.jpg)
OpticsCorrectionEffect of IP6 Correction
Fill15161
![Page 15: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/15.jpg)
OpticsCorrectionSummary of SBST Commissioning
• Initial IP6 correction helped to reduce the vertical beta-beat except sector 12-1 and sector 2&3
• IP8 correction wasn’t effective in vertical. And it showed mixed effects on the horizontal beta-beat
Calculated: Q6OT8,0.99, Q5OT8,0.9, Q3I8,1.0005, Q5IT8,0.98
![Page 16: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/16.jpg)
OpticsCorrectionEffect of IP8 Correction
Fill15329
![Page 17: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/17.jpg)
OpticsCorrectionSummary of SBST Commissioning
• Initial IP6 correction helped to reduce the vertical beta-beat except sector 12-1 and sector 2&3
• IP8 correction wasn’t effective in vertical. And it showed mixed effects on the horizontal beta-beat
• Together with IP6 correction, IP12 correction shows moderate effect on horizontal beta-beat at the expense of vertical beta-beat. This solution also affected beta* at IP6 and IP8
baseline IP6_80% IP6_80%+IP12_20%
0
0.5
1
1.5
2
2.5
3
3.5
4
IP6IP8IP2
H be
ta*
[m]
baseline IP6_80% IP6_80%+IP12_20%0
0.5
1
1.5
2
2.5
3
V be
ta*
[m]
![Page 18: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/18.jpg)
OpticsCorrection
Baseline, IP6, IP12+IP6
![Page 19: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/19.jpg)
OpticsCorrectionSummary of SBST Commissioning
• Initial IP6 correction helped to reduce the vertical beta-beat except sector 12-1 and sector 2&3
• IP8 correction wasn’t effective in vertical. And it showed mixed effects on the horizontal beta-beat
• Together with IP6 correction, IP12 correction shows moderate effect on horizontal beta-beat at the expense of vertical beta-beat. This solution also affected beta* at IP6 and IP8
• Together with reduced IP6 correction, IP4 correction shows moderate effect on vertical beta-beat except sector 6&7. No significant effect on horizontal beta-beat
![Page 20: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/20.jpg)
OpticsCorrectionSBST Analysis IP12, Fill 15161
![Page 21: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/21.jpg)
OpticsCorrectionEncountered Issues
• Limited knobs– RHIC nesting power supply scheme
![Page 22: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/22.jpg)
OpticsCorrectionEncountered Issues
• Limited knobs– RHIC nesting
power supply scheme
![Page 23: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/23.jpg)
OpticsCorrectionEncountered Issues
• Limited knobs– RHIC nesting power supply scheme
• limited independent knobs: trim quads at Q5, Q6– Power supply limit
• Reproducibility of optics
![Page 24: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/24.jpg)
OpticsCorrectionReproducibility?
![Page 25: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/25.jpg)
OpticsCorrectionEncountered Issues
• Issues– Limited knobs– Reproducibility of optics– Complicated RHIC modeling infrastructure
• Two model engines for RHIC: mad and online model(Opticalc)
– They don’t carry exact the same lattice, for instance, the crossing angles, local coupling corrections, etc.
• Each model uses slightly different magnet transfer function
– For mad, it assumes the same transfer function for the same type of magnets
– For online model, the actual measured transfer function for each magnet is used
![Page 26: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/26.jpg)
OpticsCorrectionBeam not centered in Quads
Applying 40% IP2+12 correction
removing 40% IP2+12 correction
80% IP6 correction
80% IP6, 20% IP12 correction
80% IP6, 20% IP12 correctionand IP2 20%
Removing all correctionApplying 80% IP6 correction
![Page 27: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/27.jpg)
OpticsCorrectionSummary
• First experience of SBST at RHIC was encouraging
• Latest SBST analysis of latest RHIC 100 GeV pp operation indicates there is no gross local gradient errors in Blue IR. The measured beta-beat is ~10% rms. This is consistent with 0.85m beta* at 100 GeV
• SBST is also very sensitive to bpm timing, ….
• In order to reach less than 10% beta-beat, one needs to consider global optics correction as demonstrated in LHC
![Page 28: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/28.jpg)
OpticsCorrectionGlobal Optics Correction
• What is it?
• Calculate gradient deviation from the model• Only work for small perturbation and assume the model is pretty close to reality• Demonstrated proof-of-principle in RUN2009 ago with a dialed-in gradient error
of one of the IR trim quads• Briefly tested correction at injection with only IR trim quads. No conclusions due
to limited data
nquad
iiii Qk
Q))(22cos(
)2sin(21
nquadinbpmxnquad
nbpmj
j kM
nbpmj
jnbpmxnquadnquadi Mk
1
Phase advance
![Page 29: RHIC Optics Correction](https://reader034.fdocuments.in/reader034/viewer/2022051518/56815c5f550346895dca668b/html5/thumbnails/29.jpg)
OpticsCorrectionMeasured Beta-Beat: Blue
• rms beta-beat in arcs is under 10%• large beta-beat spikes at IP8 not quite understood. Investigating …