Measurement of the magnet center with
Single Stretched Wire system

Y. Arimoto, N. Ohuchi,
M. Masuwawa, R. Ueki, Y. Ohsawa, T. Kawamotoand H. Iinuma

in stage coordinate system

o-directional motion (finds nodal point (average axis))Φpounter-directional motion (to find true axis)Φ cnp• Output wire ends points in stage coordinates (x, y)• Input z positions from design• Sag corrections• Measure roll angles, too.

Stage motion causes
the wire to move in th
B- field to generatechange in flux, Φ,measured by the SSdata acquisitionsystem.

D Φ CO+ −Φδ CO = −2 Φ CO+ +ΦD Φ CN+ −Φδ CN = −2 Φ CN+ +ΦMove wire ends till δCOà0and δCNà0
Find magnets cepositions (x, y)Test bench, just across the street

SSW systemdelivered onMay 12• We care the stage lev~ 0.17mrad• After earthquake, weneed to arraign themagain

Repeatability check
Red 10 points
Blue 4 points
Repeat from the wire set

convert fix coordinate, we apply laser tracker
rvey

Survey data is consistent
with design values andstable within few tens ofmicrons

Survey by Laser tracker

We added 4 points foreach stage to increase
accuracyMeasured magnet centers vs. designs:HER• Magnet center positions with several conditions (AC: 300K, ~50K, 4K and DC) are stablewithin 50~80µm for x and y directions

AC 300K

Measured magnet centers vs. designs :LER

AC 300K

Corrector coil measurement

Corrector coil measurements
QC1LE+A2

ハーモニックコイルの結果よりも10%多めに磁場が回転していますRoll Angle Summary

60512_221003_AC_RA_222013_AC_RA
60518_230533_AC_RA
60519_025127_AC_RA
60518_003159_DC_RA

time
steppoints AC/DC
2016/05/13 12:10:07.303 PM 7.99997
3 AC
22:20:17 17 May 2016
8.00008
3 AC
2016/05/19 01:05:37.523 PM 7.99998
5 AC
2016/05/19 04:51:31.488 PM 3.99998
5 AC
2016/05/18 02:32:03.767 PM 7.99998
3 DC

temp [K] Corrected.Angle.avg Corrected.Angle.sdev Y.Intercept
284.8-2.160051362
7.440711411-0.026341185
4.5-2.138861935
0.449960727-0.003875694
53.5-2.30230864
0.293487898
0.000230944
4.6-2.400773409
0.550683523
0.000553904
4.6-2.46632869
0.047816677
0.000587368

60513_011539_AC_RA
60518_035515_AC_RA
60518_192234_AC_RA
60518_025530_DC_RA
60519_040838_DC_RA
60519_044144_DC_RA
60519_045040_DC_RA

time
step
points AC/DC
2016/05/13 03:15:43.375 PM 8.00005
3 AC
2016/05/18 05:55:19.251 PM 8.00004
3 AC
2016/05/19 09:22:38.091 AM 7.99993
5 AC
2016/05/18 04:55:34.838 PM 8.00001
3 DC
2016/05/19 06:08:42.984 PM 7.99999
5 DC
2016/05/19 06:41:49.012 PM 8.00004
5 DC
2016/05/19 06:50:44.220 PM 5.00002
5 DC

temp [K] Corrected.Angle.avg Corrected.Angle.sdev Y.Intercept
296.2-1.16660143
0.151872413-0.004966655
4.5-2.12638445
0.267955035-0.009699683
56.3-2.094823437
0.197282815
0.020384004
4.5-2.296204478
0.070374621-0.004670836
4.6-2.004813375
0.063341007-0.011126347
4.6-2.050238036
0.081168485
0.004654312
4.6-1.997091085
0.120715685
0.007784411

60513_035500_AC_RA
60516_052715_AC_RA
60516_223413_DC_RA
60517_003309_DC_RA

time
step
points AC/DC temp [K] Corrected.Angle.avg Corrected.Angle.sdev Y.Intercept
2016/05/13 05:55:04.996 PM 8.00006
3 AC
288.1
-14.43288577
0.04489989-0.118536256
2016/05/16 07:27:19.583 PM 8.00002
3 AC
4.6-14.57047401
0.518588106-0.002086444
2016/05/17 12:34:17.004 PM 8.00006
3 DC 1628.485A 4.5-14.93872642
0.050338415
0.004134953
2016/05/17 02:33:13.596 PM 7.99999
3 DC 98.554A
4.5-15.65305035
0.7615240570.095606907

60513_052206_AC_RA
60516_025008_AC_RA
60516_035921_AC_RA
60517_041039_AC_RA
60517_190122_AC_RA
60517_032610_DC_RA

time
steppoints AC/DC
2016/05/13 07:22:10.011 PM 7.99994
3 AC
2016/05/16 04:50:12.853 PM 7.99999
3 AC
2016/05/16 05:59:25.910 PM 8.00003
3 AC
2016/05/17 06:10:43.035 PM 7.99998
3 AC
2016/05/18 09:01:26.228 AM 7.99997
3 AC
2016/05/17 05:26:14.117 PM 8.00006
3 DC-2 mra

-2 mr

-15 m

-7 mratemp [K] Corrected.Angle.avg Corrected.Angle.sdev Y.Intercept
286.6-6.595074408
3.389687284
0.001527953
4.6-6.804040194
0.202965363
0.003512968 before survey
4.6-6.825448012
0.212391325-0.029504372 after survey
6.7-7.054579133
1.886782532-0.009793589
51-7.167213307
1.935567394
0.051505677
4.6-7.418722365
0.110512295
0.005082247

Summaryom measurements so far：
Magnet center positions with several conditions (AC: 300K, ~50K, 4K and DC) are stable within 50~80µm fand y directionsHorizontal magnet centers of QC2LP and QC2LE differ ~1mm from the design.
• True?
• B1 corrector coil can correct• How about QC1LP and QC2LP ? à we will measure soon.
Vertical positions differ 100〜600 µm compared to the design values• True?
• Hard to correct especially for QC1LP
Roll angles also differ ~2mrad.
• A2 corrector coils are available• Careful comparison with Harmonic coils’ dataとxt:
We will resume SSW measurement in the next week.
Understanding (hidden) systematic uncertainties … use normal magnets
Measurements of QCSR in November…
seeing is believing

Return is also in the pipe

s Repeatability

ualitativeatability (7 or 10mm step)(microns)
ave_Xwarm 10A AC
2cold 10A AC
2cold full cur DC
5(RA runs)ave_Y_noSagCor ave_Y_TsagCor ave_Y_FsagCor magEnds_X magEnds_Y_noSagCor magEnds_Y_TsagCor magEnds_Y2
20NA505080NA
220
NA505080NA
520
10100
10020020(sagCal runs)(intcpUncert)(intcpUncert)(PYmeas)(PYmeas)(PYmeas)(PYmength measurements at full field

gnet
2LE

1LE

2LP
1LP

step
7mm
5mm
10mm
7mm
10mm
7mm

Cur
979.2A
979.2A
1580.384
1580.384
879.083
1628.464

SSW_IntStrTF(T/kA)
0.01526
0.015230.017360.017200.013070.01439s.d. (x/y)
0.00004
0.00009
0.000120.00005
0.000020.00002

Lm
0.537
0.537
0.373
0.373
0.40990.3336Grad
0.029110.029110.045800.04580
0.03197
0.04242

ref_strTF(T/kA)
0.015630.015630.017080.01708
0.013100.01415d to understand variations – e.g. slight wire susceptibility may influence large step
surements in strong magnet (perhaps sag calibration measurements can be used toapolate this to “infinite tension”)

%diff
-2.4
-2.6
1.6
0.7
-0.3
1.7

QC1LE+A2

ハーモニックコイルの結果よりも10%多めに磁場が回転していますQC1LE
sag_correction
trackStageA

17
AC 4.5K x6
EY0y18DCx
2
EY0y18AC53Kx1
EY2_10mmste
y24
AC 4.7K
9EY324DC
6
EY312AC room
5Warm1

trackStageB

trackMagA

trackMagBcenter

TrackSagMagA TrackSagMagB

centermagA

magB

167.61712.08

65.70022453 50.10140086

57.9008127

65.71455733

50.08015574

57.89735654 0.014333 -0.02124

0.512-0.509-0.15701784 -0.259414048 -0.208215944-0.091425432-0.323755047-0.20759024 0.065592

167.63712.06

65.69401424 50.09117896

57.8925966

65.71852526

50.07478121

57.89665323 0.024511 -0.01639

1.321 -0.447184623 0.067203379 -0.189990622-0.475856962

0.142960117-0.166448423 -0.02867 0.075756

12.09

57.8990288

65.69814867

50.10102994

57.89958931 0.001714 -0.00059-0.269 -0.237628426 -0.246754827 -0.242191627-0.266604528-0.213391969-0.239998249 -0.02898 0.033362

12.21

57.95421734

65.74757512

50.15436334

57.95096923 0.006984 -0.01347-0.729 -0.008143294 -0.217849925 -0.112996609-0.007694291-0.20179481-0.10474455 0.000449 0.016055

12.55

57.95248423

65.63983751

50.26843836

57.95413793 -0.04085 0.044159-0.209 -0.132811893 -0.154976008 -0.143893951-0.166476934-0.117781314-0.142129124 -0.03367 0.037194

12.36

58.07181162

65.86419547

50.27400258

58.06909902 0.011526 -0.01695

0.431 -0.399484842 -0.157885954 -0.278685398-0.381126052-0.192837735-0.286981893 0.018359 -0.03495-3.808167.587-0.178x167.487y1.362x166.667

y0.012x167.527y-1.97865.69643483 50.10162276

65.74059147 50.16784322

65.68069009 50.22427838

65.85266978 50.29095345

ave_x
ave_y

design_x
design_-0.19
y-57.94-0.0643-57

QC2LE
trackStageA
20160518_
DC024910
SURVEY1
20160518_
AC 4.5K
035039SURVEY1
20160518_
AC
195218SURVEY2
20160519_
DC043749
5mmstep+SURVEY2
20160525_
AC
102933SURVEY4
20160525_
DC140642
SURVEY4
20160513_
AC_room
001236
surveyWarm2

trackStageB trackMagA

trackMagB

centerTrackSagMa TrackSagMa
centergA
gBmagAmagBx

169.8279.34

123.884311

100.712315

112.2983

123.82473

100.76752

112.2961-0.05958

0.055203y-0.898

0.591-0.4717433-0.2567533-0.36425-0.4641617-0.259269-0.36172

0.007582-0.00252x

169.30710.28

123.782266

100.821073

112.3017

123.77206

100.81551

112.2938-0.0102-0.00557

y-0.748

0.351-0.4333888-0.2747091-0.35405-0.4425508-0.256245-0.3494-0.00916

0.018464

x169.287

10.37

123.793755

100.848445

112.3211123.80034

100.81964

112.310.006588-0.02881

y-0.638

0.181-0.4035445-0.2852928-0.34442-0.3881773-0.291196-0.33969

0.015367-0.0059x

169.957

9.1

123.908391

100.682972

112.2957

123.90066

100.70762

112.3041-0.00773

0.024644

y-1.008

0.881-0.4672351-0.1944909-0.33086-0.5701009-0.22443-0.39727-0.10287-0.02994x

169.307

10.24

123.770815

100.803846

112.2873

123.77013

100.80837

112.2892-0.00069

0.004522 1/f2

y-0.8680.671-0.4274297-0.2052205-0.31633-0.4146487-0.222609-0.31863

0.012781-0.01739 1/f2

x169.687

9.58

123.853094

100.735964

112.2945

123.85557

100.73068

112.2931

0.002481-0.00528 1/T

y

0.542

-2.139-0.2254911-0.6125887-0.41904-0.1791846-0.66073-0.41996

0.046307-0.04814 1/T

x

169.217

10.52

123.786735

100.873189

112.33123.81087

100.84881

112.3298

0.024137-0.02438

y-0.208-0.449-0.2769912-0.3117881-0.29439-0.3146003-0.305977-0.31029-0.03761

0.005811

ave_x
ave_y-112.30 design_x -111.32-0.36 design_y
0QC1LP & QC2LP
trackStageA trackStageB trackMagA trackMagB

60516
ACx
5401
eyA
y
60516
DCx
2636
eyB
y60513
AC_room x5418

eyWarm3

60516_024430
eyD
60517_022234
ryC
60513_043512
eyWarm4-166.783-2.188-171.243-4.138-168.833

y-9.578-13.79 -46.312957

centerTrackSagMa
TrackSagMagB centergADC
AC_roomxyxyxymagB-32.572255 -39.4426 -46.3466782-32.53125995 -39.438969-0.033721 0.040995055-1.70846 -1.65376416 -1.68111 -1.70778584-1.654880837 -1.6813333

0.0006742 -0.001116676-46.554758-32.26478877 -39.409773-0.041753 0.021627337-1.159 -1.7922701 -1.52471829 -1.65849 -1.80819186-1.505194702 -1.6566933-13.32 -46.378654-30.42501199 -38.373799-0.015922 0.019523584-0.06338804
0.0560682
3-0.12683218
0.1197646
sagBig?
6-1.579-12.84 -46.513005 -32.2864161 -39.3997-30.361624 -38.3701 -46.3225859-0.889 -2.7360909 -1.95570902-2.3459 -2.61632632-2.08254121 -2.3494338

ave_x
ave_y

AC(~4K)

magA

39.07 design_x-1.90 design_y

38.91
-1.5

trackStageA trackStageB
trackMagA
trackMagB
centerTrackSagMagA TrackSagMagB center
magA
m-167.813-14.61 -89.7101568 -72.80354746 -81.25685213 -89.69582928-72.8192085 -81.25751889
0.014328 -0-2.288-2.079 -2.181451863 -2.158387815 -2.169919839 -2.179956122-2.155532459 -2.16774429
0.001496 0.
-172.913-10.79 -90.26274348 -72.37177383 -81.31725866 -90.21191545-72.43588234 -81.32389889
0.050828 -0-6.5381.201 -2.592660134 -1.738628231 -2.165644182 -2.519728924-1.950059456 -2.23489419
0.072931 -0-168.323-14.36 -89.83270902 -72.84223043 -81.33746973 -89.78941716-72.88746965 -81.3384434
0.043292 -0-2.308-2.029 -2.165765884 -2.134977035 -2.15037146 -2.170340417-2.159442026 -2.164891222-0.00457 -0

ave_x
ave_y

81.31 design_x-2.19 design_y112

QC2LE+A1, B1 and A2

Harmonic coilの結果との比較も準備しま

QC2LE_correction coilsdx

SSW_R_20160525_200006_DC_SO

2016/05/25 08:00:10.618 PM QC2LE_main

SSW_R_20160525_200348_DC_SO

2016/05/25 08:03:51.900 PM QC2LE+A1_+60A

dy000.0140205

3.1974287

QC2LE+A1_+60A

0.0162405

3.1938276

SSW_R_20160525_201033_DC_SO

2016/05/25 08:10:37.272 PM QC2LE+A1_-60A

0.0811598-2.960667

SSW_R_20160525_201222_DC_SO

2016/05/25 08:12:26.095 PM QC2LE+A1_-60A

0.0795518-2.960187

SSW_R_20160525_201514_DC_SO

2016/05/25 08:15:18.648 PM QC2LE+A1_-60A

0.0788113-2.957992

SSW_R_20160525_204744_DC_SO

2016/05/25 08:47:48.893 PM QC2LE+B1_+60A

3.4432189

0.0451268

SSW_R_20160525_205039_DC_SO

2016/05/25 08:50:43.432 PM QC2LE+B1_+60A

3.450505

0.0439505

SSW_R_20160525_205524_DC_SO

2016/05/25 08:55:28.708 PM QC2LE+B1_+60A

3.4449356

0.0481159

SSW_R_20160525_212356_DC_SO

2016/05/25 09:24:00.510 PM QC2LE+B1_+30A

1.6387746

0.0264326

SSW_R_20160525_212816_DC_SO

2016/05/25 09:28:20.002 PM QC2LE+B1_-30A-1.903114

0.0035128

SSW_R_20160525_200555_DC_SO

05:58.8

Angle.avg

Angle.sdev

SSW_R_20160525_214658_DC_RA

2016/05/25 09:47:02.568 PM QC2LE-2.284629

0.1364434

SSW_R_20160525_215436_DC_RA

2016/05/25 09:54:40.081 PM QC2LE+A2_+30A

13.45524

0.119109

ヒステリシス5%くらい

QC1LE+A1, B1 and A2

Harmonic coilの結果との比較も準備しま

QC1LE_correction coilsdx

SSW_R_20160526_144713_DC_PY

2016/05/26 02:47:17.466 PM QC1LE

SSW_R_20160526_150302_DC_SOdy00

2016/05/26 03:03:05.936 PM QC1LE+B1_+30A

1.056283-0.01793

SSW_R_20160526_151312_DC_SO

2016/05/26 03:13:16.228 PM QC1LE+B1_-30A-1.05438

0.006157

SSW_R_20160526_151629_DC_SO

2016/05/26 03:16:33.615 PM QC1LE+B1_-60A-2.1083

0.013085

SSW_R_20160526_152959_DC_SO

2016/05/26 03:30:03.461 PM QC1LE+A1_+30A-0.01298

0.622072

SSW_R_20160526_153649_DC_SO

2016/05/26 03:36:53.593 PM QC1LE+A1_-30A-0.01758-0.62879

Corrected. Corrected.
Angle.avg Angle.sdev

roll
SSW_R_20160526_160723_DC_RA

2016/05/26 04:07:27.939 PM QC1LE-2.20886

0.078277

SSW_R_20160526_163254_DC_RA

2016/05/26 04:32:58.000 PM QC1LE+A2_30A

7.076841

0.060697

SSW_R_20160526_164510_DC_RA

2016/05/26 04:45:14.000 PM QC1LE+A2_-30A-11.4009

0.061995

SSW_R_20160526_165800_DC_RA

2016/05/26 04:58:03.922 PM QC1LE+A2_-60A-21.2021

0.072452

SSW_R_20160526_171628_DC_RA

2016/05/26 05:16:32.788 PM QC1LE-2.93344

0.078084

SSW_R_20160526_172655_DC_RA

2016/05/26 05:26:58.874 PM QC1LE+A2_+60A

16.56536

0.082787