PS2 Orbit Correction - Update
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Transcript of PS2 Orbit Correction - Update
PS2 Orbit Correction - Update 1
PS2 Orbit Correction - Update
Wolfgang Bartmann
PS2 Meeting, 26th March 09
26-Mar-09
PS2 Orbit Correction - Update 2
Error Assignment
• MisalignmentsDipoles: 0.3 mm shift and 0.3 mrad angle for
all axesQuadrupoles: 0.2 mm shift and 0.3 mrad angle for all axes
• Field ErrorsDipoles ΔBL/Bρ : 0.510-3
All errors are gaussian distributed with a cut-off at 3σ
26-Mar-09
PS2 Orbit Correction - Update 3
Positions of Correctors and BPMs
Horizontal corr. (black)Vertical corr. (red)
BPMs for both planes at each corrector
one vert. corrector removed in the centre
56 hor. and 54 vert. correctors;
110 BPMs
26-Mar-09
Sensitivity to different errorsError Aver. maximum
displacement in [mm]
Hor. Vert.
Relative dipole field error ΔBL/Bρ 0.5 10-3 TGAUSS(3) 8.8 -
Transverse quadrupole shift DX, DY 0.2 mm TGAUSS(3) 8.8 8.6
Longitudinal dipole shift DS 0.3 mm TGAUSS(3) 0.3 -
Tilt of dipoles about s-axis DPSI 0.3 mrad TGAUSS(3) - 5.4
Calculated with a sample of 50 machines; Qx = 13.25Qy = 8.21
26-Mar-09 4PS2 Orbit Correction - Update
PS2 Orbit Correction - Update 5
Results before/after correctionBefore correction After correction
Horizontal Vertical Horizontal Vertical
Average of max. displacement [mm] 13.56 11.63 0.54 0.43Average of r.m.s displacement [mm] 5.16 4.97 0.15 0.11
• Calculated with a sample of 500 machines
• Qx = 13.25, Qy = 8.21
• 100 correctors (instead of 110) in use; failure of 5 % of the monitors
• Corrector kicks are below 1 mrad (maxima ~ 0.2 mrad)
ρ = length/θ = 0.3/2e-4 = 1500 m
B = (Bρ)extr/ρ = 170/1500 ≈ 0.12 T
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Orbit before/after correction, hor.500 machines
26-Mar-09 PS2 Orbit Correction - Update
4.86
6.86
8.86
10.8
6
12.8
6
14.8
6
16.8
6
18.8
6
20.8
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22.8
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24.8
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26.8
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28.8
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30.8
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32.8
60
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xmax [mm]
Num
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0.24
0.34
0.44
0.54
0.64
0.74
0.84
0.94
1.04
1.14
1.24
1.34
1.44
1.54
1.64
1.74
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xmax [mm]
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PS2 Orbit Correction - Update 7
Orbit before/after correction, vert.500 machines
26-Mar-09
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1.00
1.10
1.20
1.30
1.40
1.50
1.60
1.70
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ymax [mm]
Num
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s
5.0
7.0
9.0
11.0
13.0
15.0
17.0
19.0
21.0
23.0
25.0
27.0
29.0
31.0
33.0
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ymax [mm]
Num
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PS2 Orbit Correction - Update 8
Conclusion
• Orbit corrected by a factor of ≈ 25 OK
• Failure of correctors and monitors no issue
• Maximum corrector strength ≈ 0.2 mrad gives B = 0.12 T for 0.3 m length
26-Mar-09