Magnetic measurement system for superconducting final focus quadrupoles for SuperKEKB Y. Arimoto (KEK) IMMW 20 @ Diamond Light Source 2017/Jun/8
SuperKEKB Final focus magnet system Magnetic field measurement for QCS - Requirements - Harmonic coils - Single stretched wire Summary
SuperKEKB, high energy e+/e- collider is under construction at KEK SuperKEKB is aiming at high luminosity * Target luminosity : 8x10 35 cm -2 s -1 (40 times larger than KEKB) ~1 km Main ring Circumference : 3 km Colliding energy: e - : 7 GeV e + : 4 GeV 2016/Feb : Operation w/o collision 2018/Feb : Operation w/ collision
One of key components at SuperKEKB is a final focus quadrupole magnet system (QCS) QCS squeezes e+/e- beams to 50 nm in vertical direction at an interaction point QCS will be installed in the detector solenoid (Bz= 1.5 T) QCS consists of - 8 SC quadrupole magnets - 43 SC corrector/cancel coils ( built by BNL ) - 4 SC compensation solenoids All magnets of QCS will be operated in DC current mode. Construction of QCS has been completed on Feb. 2017 and installed at an interaction region (IR) of SuperKEKB. Now they are cooled down and starting magnetic measurement.
Quadrupole magnets at interaction region Quadrupole magnets Yoke Cancel magnets Quadrupole magnets Yoke of Belle-II solenoid Yoke
Magnets layout at interaction region w/ solenoids Quadrupole magnets Belle-II detector solenoid QCS compensation solenoids QCS compensation solenoids Quadrupole magnets
QC2LP e-/e+ interaction point QC1LP QC1RE IP QC2RE Electron beam QC2LE QC1LE QC1RP QC2RP Positron beam Magnet Name G [T/m] I [A] Inner Radius [mm] Effective Length [mm] QC1LP/ QC1RP QC2LP/ QC2RP QC1LE/ QC1RE QC2LE/ QC2RE 68.94 / 68.89 1625 / 1624 25 334 28.05 / 26.28 877.4 / 822.1 54 410 72.21 / 70.89 1577 / 1486 33 373 28.44 / 32.41 977.0 / 1068 59 537/419
Quadrupole magnets ( on left side of IP ) QC2LP QC1LP QC2LE QC1LE
Quadrupole magnets ( on right side of IP ) QC1RP QC2RP QC1RE QC2RE
Assembled three quadrupole magnets QC2LP QC1LP QC1LE Cancel magnet
QCS at IR Cryostat : QCS-R QC1RP QC2RP QC1RE QC2RE Correctors Solenoids Cryostat : QCS-L QC1LP QC2LP QC1LE QC2LE Correctors Solenoids
Magnetic measurements
Field harmonics : < 10-4 to main quadrupole - Measurement method: Harmonic coil Alignment error of magnet axis at very early stage of beam commissioning: < ~100 um - Measurement method : Single Stretched Wire - Expected Measurement precision : 100 μm * Precision by SSW : a few μm * Fiducialization of the system to the beam line : 50~100 μm - Should be measured at IR under solenoids field
Harmonic coil measurement
Harmonic coil system Coil configuration Long coil ( L = 600 ~ 800 mm) Short coil (L = 20 mm) Winding radius - R=12 mm - R=25 mm - R=33 mm Winding types - Tangential winding with analog quadrupole and dipole bucking - 2 dipole windings (for digital bucking) - 2 quadrupole windings (for digital bucking) Calibration has been done with reference dipole, quadrupole, and sextupole magnets Integrator: PDI5025 (Metrolab) Rotary motor w/ encoder Magnet in a horizontal cryostat Inclinometer Harmonic coils Translation stage w/ position monitor (magnescale)
Harmonic coil Long windings Short windings
Measurement setup Translation stage Cryostat Rotation motor with rotary encoder Translation stage with position monitor (magnescale) Inclinometer
Measurement setup Cryostat : QCS-L Translation stage Positron ring QC2LP Permendur QC1LP Top view Electron ring Iron QC2LE Helium vessel Iron QC1LE Tangsten radiation shield Compensation solenoid 0 1000 mm
Measured multipoles B y + ib x = B 2 1X (b n ia n ) n=1 x + iy r 0! n 1 Amplitude (units) 5 0 QC1LP Skew Normal 5 0 QC1LE Skew Normal Tolerance (n=3) 10 units (n>3) 5 units -5 3 4 5 6 7 8 9 10-5 3 4 5 6 7 8 9 10 Amplitude (units) 5 0-5 Harmonics Order QC2LP Skew Normal 3 4 5 6 7 8 9 10 5 0-5 Harmonics Order QC2LE Skew Normal 3 4 5 6 7 8 9 10 Multipole component for all magnets are less than 5 units Harmonics Order Harmonics Order
Single stretched wire
The system has been built by Fermilab ( newly upgraded system ) - Control and analysis are based on LabView and MATLAB - New type of Integrator from Metrolab - KEK uses this and feedback some bugs to Fermilab for improvement. Electronics - Integrator * Metrolab FDI2056 - AC Power supply * KEPCO BOP 36-12M - Servomotor driver * Aerotech ensemble - PXI modules * Function generator * Digital voltmeter * Trigger module
x-y stage Model ( Aerotech co.) x ANT130-160-L y ATS 100-150-UF Repeatability Resolution 0.1 um 0.7 um 1 nm 0.5 um Wire Be-Cu ( φ 0.1 mm) Wire fixture Ball bearing Tension control Rotary motor monitoring tension gauge Tension : 800 g
QCS quadrupoles are aligned at different longitudinal positions on beamlines - Magnet does not on center between two SSW units QCS is located inside Belle-II detector solenoid (B=1.5 T). QCS magnets will move if the solenoid is excited due to magnetic force. - We need to measure quadrupole magnet center while the solenoid is excited. - The solenoid generates dipole component because the beamlines are aligned at angle of 41.5 mrad with respect to the solenoid axis. - Long wire ( ~8 m ) SSW unit A QC2LP QC1LP QC1RE QC2RE SSW unit B Electron beam QC2LE QC1LE QC1RP QC2RP Positron beam
SSW Measurement with normal conducting quadrupole magnet To check longitudinal position dependences, we performed SSW measurement with normal conducting magnet. Parameters of the Q-magnet Bore : φ100 Yoke Length : 446 mm I.T.F. : 0.0093 T/A Integrated gradient : 4.8 T @ 500A Setup SSW-B Lw=8.6 m Q-mag SSW-A zmag
Magnet center vs magnet position Wire length = 8.6 m Step size = 20 mm Reference magnet 0.1 0.1 Quadrupole center [mm] 0.08 0.06 0.04 0.02 0 0.05 mm 0.03 mm Quadrupole center [mm] 0.08 0.06 0.04 0.02 0 0.03 mm 0.02 mm Longitudinal position of magnet [m] Δx = 0.03 mm Δy = 0.05 mm Longitudinal position of magnet [m] Δx = 0.02 mm Δy = 0.03 mm Difference between AC and DC : 0.03 mm at maximum
AC measurement of QC2LP with Solenoid (ESL) Solenoid (ESL) QC1LP QC1LE QC2LP HER QC2LP LER QC2LE SC magnet in QCS-L QC2LP GL = 11.47 T @ I=877A 0.0415 rad Bsol Bz Bx LER Solenoid (I=200A) Bz L = 1.131 T Bx L = 0.0488 T dy = 4.2 mm 10 um 50 urad
Warm measurement at IR (interaction region) SSW stage QCS cryostat L Laser tracker QCS cryostat R SSW stage
Warm measurement at IR (interaction region) SSW stage QCS cryostat L BeCu wire Laser tracker QCS cryostat R SSW stage
SSW measurement were performed with 2 setup - Setup 1: A SSW unit is set on QCS-R end, and the other unit set on around IP - Setup 2: Two SSW units are set on end of QCS-R and QCS-L Lw = 4.9 m Set up 1 SSW unit QCS-R SSW unit Set up 2 SSW unit QCS-L QCS-R SSW unit Lw = 8.7 m
Horizontal misalignment Setup 2 Magnet center: x (mm) 150 100 50 0-50 -100 QC2LE dx=-0.418 mm QC2LP dx=-0.076 mm QC1LE dx=-0.098 mm QC1LP dx=-0.053 mm QC1RP dx=-0.531 mm QC1RE dx=-0.205 mm QC2RP HER dx=-0.394 mm dx=-0.048 mm LER QC2RE -150-3000 -2000-1000 0 1000 2000 3000 z (mm) Difference between Set up 1 and 2 : Δx LER (positron ring) : ~ -30 um HER (electron ring): ~ 3 um Magnet center: x (mm) 150 100 50 0-50 -100 Setup 1 QC1RP dx=-0.506 mm QC1RE dx=-0.204 mm QC2RP dx=-0.362 mm HER LER QC2RE dx=-0.045 mm -150 0 500 1000 1500 2000 2500 3000 z (mm)
Vertical misalignment 1 Set up 2 0.8 Magnet center : y (mm) 0.6 0.4 0.2 0-0.2-0.4 QC2LE dy=-0.323 mm QC2LP QC1LE QC1LP dy=-0.292 mm dy=-0.290 mm dy=0.242 mm dy=0.238 mm dy=0.163 mm QC1RP QC1RE QC2RP dy=-0.056 mm QC2RE -0.6 dy=-0.752 mm -0.8 Difference between Set up 1 and 2 : Δy QC1RP : 1 um QC1RE : 57 um QC2RP : 47 um QC2RE : 47 um -1-3000 -2000-1000 0 1000 2000 3000 z (mm) All of magnets in left side of cryostat are low by 0.3 mm to 0.75 mm. It is expected the ground level will be down after detector will be installed, so we lifted up the left-side cryostat by 0.3 mm. Magnet center : y (mm) 1 0.8 0.6 0.4 0.2 0-0.2-0.4-0.6-0.8 Set up 1 dy=0.162 mm dy=0.181 mm QC1RP QC1RE dy=0.289 mm QC2RP dy=-0.103 mm QC2RE -1 0 500 1000 1500 2000 2500 3000 z (mm)
QCS is SC final focus quadrupole magnet system of SuperKEKB Magnet measurement system of QCS - Harmonic coils - SSW Harmonic coil measurements show the higher harmonics of quadrupole magnets are smaller than tolerance We performed SSW measurement - Longitudinal magnet position dependence on SSW results is not shown. - Solenoid field effect can be eliminated by AC measurement - Large misalignment were found in vertical direction and the left side cryostat was realigned. Measurement schedule - 2017/Jun. - Aug. : Magnetic measurement at IR under the particle detector solenoid field * Harmonic coil measurements * SSW measurements