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Long-term Variation of the Magnet Alignment In SPring-8 Storage Ring. Chao ZHANG, Sakuo Matsui JASRI / SPring-8. Main events of magnet alignment Long-term monitoring Variation of magnet alignment. SPring-8 Site. 8GeV Booster. 1GeV Linac. 8 GeV Storage ring. 2. - PowerPoint PPT Presentation
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1
Long-term Variation of the Magnet Alignment In SPring-8 Storage Ring
• Main events of magnet alignment• Long-term monitoring• Variation of magnet alignment
Chao ZHANG, Sakuo MatsuiJASRI / SPring-8
2
SPring-8 Site
8 GeV Storage ring
1GeV Linac
8GeV Booster
3
SPring-8 Storage Ring Magnets
Chasman-Green lattice of 48 cells : Bending : 2 Multipole : 17 on three girders
Survey Monument (2)
Reference point (6 one cell, total of 288)
Magnet alignment tolerances : Girder unit : 0.2 mm Within girder : 50mm
4
Main Events of Alignment -Monument survey
Main events of magnet alignment 1993/1 First time monuments survey 1994/11 Monument survey inside tunnel1995/4-1996/3 Ring magnet installation1996/4 Level survey for whole ring 1996/10 Horizontal survey for whole ring1997/1 120 angles measured in horizontal2000/7 Digital level introduced to level survey2000/7-8 Magnet in long straight sections were rearrangedHydrostatic level system were setup in three places2005/ 44 angles are added to horizontal survey
First time monuments survey
5
Main Events of Alignment -Monument survey
Main events of magnet alignment 1993/1 First time monuments survey 1994/11 Monument survey inside tunnel1995/4-1996/3 Ring magnet installation1996/4 Level survey for whole ring 1996/10 Horizontal survey for whole ring1997/1 120 angles measured in horizontal2000/7 Digital level introduced to level survey2000/7-8 Magnet in long straight sections were rearrangedHydrostatic level system were setup in three places2005/ 44 angles are added to horizontal survey
Monument survey in the tunnelTotal points: 192Distances: 480+24Angles: 24Error ellipses: 0.64/0.30
6
Main Events of Alignment –Magnet installation
Main events of magnet alignment 1993/1 First time monuments survey 1994/11 Monument survey inside tunnel1995/4-1996/3 Ring magnet installation1996/4 Level survey for whole ring 1996/10 Horizontal survey for whole ring1997/1 120 angles measured in horizontal2000/7 Digital level introduced to level survey2000/7-8 Magnet in long straight sections were rearrangedHydrostatic level system were setup in three places2005/ 44 angles are added to horizontal survey
Total of 88 bendings 816 multipoles on 144 girders
7
Main Events of Alignment –Level survey
Main events of magnet alignment 1993/1 First time monuments survey 1994/11 Monument survey inside tunnel1995/4-1996/3 Ring magnet installation1996/4 Level survey for whole ring 1996/10 Horizontal survey for whole ring1997/1 120 angles measured in horizontal2000/7 Digital level introduced to level survey2000/7-8 Magnet in long straight sections were rearrangedHydrostatic level system were setup in three places2005/ 44 angles are added to horizontal survey
Wild N3 std: 0.2mm/1km
Dot: Wild N3; Line: Sight of seeingStd. (Between units): 0.02mmError rms (For 1.5km ring): 0.2mm
8
Main Events of Alignment –Horizontal survey
Main events of magnet alignment 1993/1 First time monuments survey 1994/11 Monument survey inside tunnel1995/4-1996/3 Ring magnet installation1996/4 Level survey for whole ring 1996/10 Horizontal survey for whole ring1997/1 120 angles measured in horizontal2000/7 Digital level introduced to level survey2000/7-8 Magnet in long straight sections were rearrangedHydrostatic level system were setup in three places2005/ 44 angles are added to horizontal survey
Line: distance measurement; Circle: station of LT set up.Std. (Between units): 0.05mmError rms (For 1.5km ring): 0.5mm Horizontal survey for whole ring
9
Main Events of Alignment –Horizontal survey
Main events of magnet alignment 1993/1 First time monuments survey 1994/11 Monument survey inside tunnel1995/4-1996/3 Ring magnet installation1996/4 Level survey for whole ring 1996/10 Horizontal survey for whole ring1997/1 120 angles measured in horizontal2000/7 Digital level introduced to level survey2000/7-8 Magnet in long straight sections were rearrangedHydrostatic level system were setup in three places2005/ 44 angles are added to horizontal survey
Horizontal survey for whole ring
Line: distance measurement; Circle: station of LT set up.Std. (Between units): 0.04mmError rms (For 1.5km ring): 0.4mm
-1.5
-1.0
-0.50
0.0
0.50
1.0
1.5
2.0
c03c2 c06c2 c09c2 c12c2 c15c2 c18c2 c21c2 c24c2 c27c2 c30c2 c33c2 c36c2 c39c2 c42c2 c45c2 c48c2
Displacement of Magnet, 1997/1
Dis
plac
emen
t (dx
, mm
)
Magnet
Minimum -0.68Maximum 1.42Mean 0.37
Relative.disp. 0.05
Err. bar
10
Main Events of Alignment –Level survey
Main events of magnet alignment 1993/1 First time monuments survey 1994/11 Monument survey inside tunnel1995/4-1996/3 Ring magnet installation1996/4 Level survey for whole ring 1996/10 Horizontal survey for whole ring1997/1 120 angles measured in horizontal2000/7 Introduce digital level to level survey2000/7-8 Magnet in long straight sections were rearrangedHydrostatic level system were setup in three places2005/ 44 angles are added to horizontal survey
Zeiss DiNi11 std: 0.3mm/1km
11
Main Events of Alignment –LSS rearrangement
Main events of magnet alignment 1993/1 First time monuments survey 1994/11 Monument survey inside tunnel1995/4-1996/3 Ring magnet installation1996/4 Level survey for whole ring 1996/10 Horizontal survey for whole ring1997/1 120 angles measured in horizontal2000/7 Introduce digital level to level survey2000/7-8 Magnets in long straight sections were rearrangedHydrostatic level system were setup in three places2005/ 44 angles are added to horizontal survey
ID19: 27m-long undulator
2.4m
Network point
Storage ring
12
Main Events of Alignment –HLS system
Main events of magnet alignment 1993/1 First time monuments survey 1994/11 Monument survey inside tunnel1995/4-1996/3 Ring magnet installation1996/4 Level survey for whole ring 1996/10 Horizontal survey for whole ring1997/1 120 angles measured in horizontal2000/7 Introduce digital level to level survey2000/7-8 Magnets in long straight sections were rearranged2003/8-2005/3 Hydrostatic level system were set up at 3 places of the tunnel2005/ 44 angles are added to horizontal survey
Hydrostatic level system C08-10 : 50 m C20-25 : 180 m C32-38 : 180 mIrregular noise level: 0.1 mm( 2 e-10 radian resolution)
13
Main Events of Alignment –Horizontal survey
Main events of magnet alignment 1993/1 First time monuments survey 1994/11 Monument survey inside tunnel1995/4-1996/3 Ring magnet installation1996/4 Level survey for whole ring 1996/10 Horizontal survey for whole ring1997/1 120 angles measured in horizontal2000/7 Introduce digital level to level survey2000/7-8 Magnets in long straight sections were rearranged2003/8-2005/3 Hydrostatic level system were set up at 3 places of the tunnel2005/4 44 angles added to horizontal survey
Ref. Points 385Distances: 2852
44 angles with T3000Accuracy: 0.5”~1”
14
Long-Term Monitoring –Survey result of horizontal
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
c03c2 c06c2 c09c2 c12c2 c15c2 c18c2 c21c2 c24c2 c27c2 c30c2 c33c2 c36c2 c39c2 c42c2 c45c2 c48c2
Survey Results of Horizotal (1996-2009)
19961997
19981999
20012003
20052006
20072009
Dis
plac
emen
t (dx
, mm
)
Magnet
15
Long-Term Monitoring –Variance of relative movement
We calculate variance function between surveys:
v: variance of point’s relative movement, averaging over all points in the ring : time delay in yearAnd, examine the dependence of rms relative movement ( ) on time interval
N
txtxN
txtxEV1
22 )()(1)))()((()(
time interval count (year) 1 5 2 7 3 4 4 5 5 3 6 4 7 3 8 4 9 3 10 3 11 2 12 1 13 1 0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0 2 4 6 8 10 12 14
mag_avg288
(m
m)
Time interval (year)
V
16
Long-Term Monitoring –Linear weighted moving average
The center of gravity of the magnets is considered a good reference and linear weighted moving average is used.
Here, we take the weight:
i: current pointm: 2m is averaging length, total number in average around current point That is, current point has maximum weight of m+1. the weight of a point that goes away from current is linear diminished.
The value of average depends on averaging length.
kmw
w
xwX
ki
m
mk
ki
m
mk
kiki
i
1
*
ix
17
Long-Term Monitoring –Linear weighted moving average
-2
-1.5
-1
-0.5
0
0.5
1
1.51/3ring average (480m)
199720062007
199720062007
dx (m
m)
Magnet
0.1
0.2
0.3
0.4
0.5
0.6
0 2 4 6 8 10 12 14
mag_avg96 (480m, 1/3 ring)
y = 0.26546 + 0.01381x R= 0.90526
(m
m)
Interval (year)
18
Long-Term Monitoring –Variation of magnet alignment
-1.5
-1
-0.5
0
0.5
1
1.5
c03c1 c06c1 c09c1 c12c1 c15c1 c18c1 c21c1 c24c1 c27c1 c30c1 c33c1 c36c1 c39c1 c42c1 c45c1 c48c1
mag_avg96199719981999
200120032005
200620072009
Dis
plac
emen
t (dx
, mm
)
Magnet
1997Min -0.54Max 0.61RMS 0.30
2007-1.16 0.84 0.43
0.2
0.25
0.3
0.35
0.4
0.45
0.5
1997 1998 1999 2001 2003 2005 2006 2007 2009
rms of mag_avg96
rms
year
19
Long-Term Monitoring –Linear weighted moving average
-2
-1.5
-1
-0.5
0
0.5
1
1.51/3ring average (480m)
199720062007
199720062007
dx (m
m)
Magnet-2
-1.5
-1
-0.5
0
0.5
1
1.51/6 ring average (240m)
199720062007
199720062007
dx (m
m)
Magnet
-2
-1.5
-1
-0.5
0
0.5
1
1.54-cell average (120m)
dx (m
m)
Magnet-2
-1.5
-1
-0.5
0
0.5
1
1.52-cell average (60m)
dx (m
m)
Magnet
20
Long-Term Monitoring –Variance of relative movement
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0 2 4 6 8 10 12 14
mag_avg48 (240m)
y = 0.14487 + 0.0088039x R= 0.91569
(m
m)
Interval (year)
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0 2 4 6 8 10 12 14
mag_avg24 (120m)
y = 0.070146 + 0.0065923x R= 0.97484
(m
m)
Interval (year)
0.02
0.04
0.06
0.08
0.1
0.12
0 2 4 6 8 10 12 14
mag_avg12 (60m)
y = 0.036077 + 0.0059644x R= 0.99319
(m
m)
Interval (year)
0.1
0.2
0.3
0.4
0.5
0.6
0 2 4 6 8 10 12 14
mag_avg96 (480m, 1/3 ring)
y = 0.26546 + 0.01381x R= 0.90526
(m
m)
Interval (year)
0
0.05
0.1
0.15
0.2
0.25
0.3
0 100 200 300 400 500 600 700
coefficient vs. length
y = 0.0062609 + 0.00054551x R= 0.99866
y = 0.0044974 + 1.9078e-05x R= 0.99692
Coe
ffici
ent
Length (m)
21
Long-Term Monitoring –Variance of relative movement
y = 0.26546 + 0.01381x R= 0.90526
y = 0.14487 + 0.0088039x R= 0.91569
y = 0.070146 + 0.0065923x R= 0.97484
y = 0.036077 + 0.0059644x R= 0.99319
Displacement vs. Time interval: = (0.005+1.9e-5L)T
offset
factor
22
Long-Term Monitoring –Variation of magnet alignment
-0.4
-0.2
0
0.2
0.4
c03c1 c06c1 c09c1 c12c1 c15c1 c18c1 c21c1 c24c1 c27c1 c30c1 c33c1 c36c1 c39c1 c42c1 c45c1 c48c1
mag_avg12199719981999
200120032005
200620072009
Dis
plac
emen
t (dx
, mm
)
Magnet
1997Min -0.167Max 0.136RMS 0.05
2009-0.432 0.345 0.12
23
Long-Term Monitoring –Survey result of the level
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
c03c2 c06c2 c09c2 c12c2 c15c2 c18c2 c21c2 c24c2 c27c2 c30c2 c33c2 c36c2 c39c2 c42c2 c45c2 c48c2
Survey Result of the Level (1996-2008)
1996199719982000
2001200220032004
2005200620072008
Dis
plac
emen
t (dy
, mm
)
Magnet
24
Long-Term Monitoring –Variance of displacement
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0 2 4 6 8 10
level_avg192 (960m, 2/3 ring)
y = 0.12429 + 0.023753x R= 0.98223
(m
m)
year
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0 2 4 6 8 10
level_avg144 (720m)
y = 0.099602 + 0.022217x R= 0.99065
(m
m)
year
0.05
0.1
0.15
0.2
0.25
0.3
0 2 4 6 8 10
level_avg72 (360m)
y = 0.057885 + 0.022288x R= 0.99651
(m
m)
year
0.05
0.1
0.15
0.2
0.25
0 2 4 6 8 10
level_avg36 (180m)
y = 0.04358 + 0.017857x R= 0.9921
(m
m)
year
25
y = 0.12429 + 0.023753x R= 0.98223
y = 0.099602 + 0.022217x R= 0.99065
y = 0.057885 + 0.022288x R= 0.99651
y = 0.04358 + 0.017857x R= 0.9921
Displacement vs. Time interval:= (0.02+6.05e-6L)T
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0 200 400 600 800 1000 1200
Coefficient vs. Length
y = 0.02274 + 0.00010565x R= 0.99842
y = 0.018142 + 6.0503e-06x R= 0.8299
Coe
ffici
ent
Length (m)
Long-Term Monitoring –Variance of displacement
26
Long-Term Monitoring –Variation of magnet’s level
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
1997 2000 2002 2004 2006 2008
rms of level_avg192
rms
year
-1.5
-1
-0.5
0
0.5
1
1.5
c03c1 c06c1 c09c1 c12c1 c15c1 c18c1 c21c1 c24c1 c27c1 c30c1 c33c1 c36c1 c39c1 c42c1 c45c1 c48c1
level_avg192 (2/3 ring)
1996199719982000
2001200220032004
2005200620072008
Dis
plac
emen
t (dy
, mm
)
Magnet
1997Min -0.34Max 0.24RMS 0.10
2008-1.08 1.31 0.42
underpass
underpass RF pit
RF pit
RF pit
buildingboundary
undergroudtransport line
hill removed
area
ground refilled
area
27
Long-Term Monitoring –Variation of magnet alignment
-1.5
-1
-0.5
0
0.5
1
c06b2 c12a2 c17c2 c23b2 c29a2 c34c2 c40b2 c46a2
level_avg36 (6-cell, 180m)
1996199719982000
2001200220032004
2005200620072008
Dis
plac
emen
t (dy
, mm
)
Magnet
1997Min -0.26Max 0.17RMS 0.08
2008-1.070.610.24
28
Long-Term Monitoring –Variation of magnet tilt
-400
-200
0
200
400
0 100 200 300 400 500 600 700 800
Tilt_
1996
(ura
d)
tilt_1996Minimum -92Maximum 141Mean 5RMS 27
-400
-200
0
200
400
Tilt_
2009
(ura
d)
Number
DeviationMinimum -421Maximum 270Mean -30RMS 78
-400
-200
0
200
400
tilt_
2003
(ura
d)
tilt_2003Min -235Max 590RMS 68
NO change !
7 years
6 years
Df:41mrad
-100
-50
0
50
100
150
200
250
-250
-200
-150
-100
-50
0
50
100
150QS_2003
x
y
dxdy
x yMinimum -56 -143Maximum 210 106Mean 8. -16.RMS 25. 30.
29
Long-Term Monitoring–Linearity of magnet within girder
-100
-50
0
50
100
150
200
250
-250
-200
-150
-100
-50
0
50
100
150
0 100 200 300 400 500 600 700 800
QS_2010
x(um)
y(um)
dx (u
m) dy (um
)
Magnet No.
x yMinimum -70 -212Maximum 226 129Mean 2 -26RMS 26. 43.
-100
-50
0
50
100
150
200
250
-250
-200
-150
-100
-50
0
50
100
150QS_1996
x
y
dx (u
m) dy (um
)
x yMinimum -63 -59Maximum 148 83Mean 7. -7.RMS 18. 17.
Dx: 7 mmDy: 13 mm
6 years:Dx: 1 mmDy: 13 mm
7 years:
30
CONCLUSION linear weighted moving average is used as reference for extracting magnet displacement, And mean relative movement of magnets could be approximately modeled as = (A1+A2L) T A1 represents constant factor, and A2 is the factor of length dependence. In horizontal plane, Deterioration rate is 0.014mm/year RMS relative displacement varies 0.05 - 0.12 mm, for an inspection range of 60 meters. In vertical plane, Deterioration rate is 0.024mm/year RMS relative displacement varies from 0.08 - 0.24mm for the range of 180 meters. Rolling of magnets are changed from 27 - 68 mrad (rms) in first 7 years, but following 6 years had no variance. Linearity of magnets within girder varied from 8 mm in vertical , While there is almost no change in horizontal after 2003, By contrast vertical seems making a constant progress of 2 mm/year. Because the variation of magnet alignment is very small, we didn’t adjust any magnet for thirteen years.
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