Long-term Variation of the Magnet Alignment In SPring-8 Storage Ring

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


Monument survey in the tunnelTotal points: 192Distances: 480+24Angles: 24Error ellipses: 0.64/0.30

6

Main Events of Alignment –Magnet installation


Total of 88 bendings 816 multipoles on 144 girders

7

Main Events of Alignment –Level 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


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

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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)

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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”

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Long-Term Monitoring –Survey result of horizontal

-2

-1.5

-1

-0.5

0

0.5

1

1.5

2


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


-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


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


-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


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)

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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


-0.4

-0.2

0

0.2

0.4


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

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Long-Term Monitoring –Survey result of the level

-2

-1.5

-1

-0.5

0

0.5

1

1.5

2


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

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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


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


-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

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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.

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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.

Long-term Variation of the Magnet Alignment In SPring-8 Storage Ring

Documents

horizontal survey total

level survey20007

magnet alignment tolerances

horizontal20007 digital

50mm4main events of

alignment variation

horizontal survey wild

girderssurvey monument