SuperKEKB QCS R&D Magnet
KEKNorihito Ohuchi
1. SuperKEKB QCS Magnet Design
2. Construction of QCS R&D Magnet
3. Summary

SuperKEKB Magnet Design(1-1) Schematic view of SuperKEKB-IR

SuperKEKB Magnet Design(1-2) Basic Backgroud Requirement for IR Magnet Design•••

The crossing angle is 15mrad ! 2.
"x* = 30 cm, "y*= 3 mm
Final focusing quadrupoles (QCS) locate at the position as close to the IP as possible.
Pos. from the IP
QCS-R
QCS-L

••

KEKB
1920 mm1600 mmSuper-KEKB
1163.3 mm
969.4 mm

Spatial constraints of the QCS cryostats against the Belle detector are the same as KEK-B.
The compensation solenoids (ES) are installed outside of the QCS magnets. The axes of theQCSs and the ESs are parallel to the Belle detector axis.
SR envelops from QCS magnets•

The intensities of the SR power are 179 kW and 64.6 kW from QCSR and QCSL, respectively.
QC1R(SC)-cryostat-bore

Belle boundary
QC1L(SC)-cryostat-bore
150

150

QCSLA

QCSR-cryostat-bore
QCSRA
HER

100
QCSLC

QCSRI

QCSL-cryostat-bore
50100

QCSRC50QCSLI0[mm]0[mm]LER-50-50-100-100beam physical aperture

IP-4000.0

0.0

SOR from the IP or arc sides of each QCS
deviation of SOR from the central route4000.0SuperKEKB Magnet Design(1-3) Constraint from Cryogenic System
SuperKEKB

15 L/h

5.7 L/h(22 L/h)

8.5 L/h

8.5 L/h

4 L/h

4 L/h

22 W

24 W

70 W

70 W

27.5 L/h + 92 W

18.7 L/h + 94 W
(35 L/h + 94 W)
18.7 L/h + 200 W(35 L/h + 129 W)
106 W(35 W)

Refrigerator

27.5 L/h + 164 W

Cooling Margin

72 W

Cooling capacity of QCS refrigerator
QCS-refrigerator.kdat250Refrigerating power, W

Current Leads
QCS
C. L. ES
C. L. Correctors
CryostatsTransfer Lines
Total Heat Load

KEKB

Operating point(Super-KEKB)

200

164 W
27.5 L/h

200 W
18.6 L/h(measured value)

150
129 W
35 L/h100

94 W
18.7 L/h
(new)

50

94 W
35 L/h(old)

92 W
27.5 L/h
Operating point(KEKB)

0•

Cooling time after quench– KEKB: 4 hours– SuperKEKB: 3.6 hours(KEKB type magnet: 4.3 hours)

010

20

30

40

Liquefaction of LHe, L/h50

SuperKEKB Magnet Design(1-4) Cross Section of Magnet CryostatDesign parameters of final focus
quadrupole in the right side(QCS-R:R&D Magnet)

R 219

ESRR 239

•••
•

QCSR
R 90

R 69
R 50

e+

6 layer coils (3-double pane cake coils)
Inner coil radius : 90.0 mm
Outer coil radius : 116.8 mm
Cable size : 1.1 mm ! 4.1 mm! 1.1 mm ! 7.0 mm (KEKB)e-•

Number of turns : 271 in one pole
1st layer = 38, 2nd layer = 39
3rd layer = 46, 4th layer = 47
5th layer = 50, 6th layer = 51•••••

Field gradient : 40.124 T/mMagnet current : 1186.7 A
Magnetic length : 0.299 m
Inductance : 69.98 mH
Stored energy : 49.3 kJ

R 85
R 209

R 194

R 186

Magnet cryostat cross sectionin the right sideSuperKEKB Magnet Design(1-5) QCS-R (R&D Magnet) Design Field
170 mmDesign field of QCS-R(R&D Magnet)

6th layer
5th layer•

4th layer

b2=10000, b6=0.12, b10=-0.04,b14=0.12

3rd layer•
2nd layer
1st layer
450 mmCoil configurations of 6 layers

Multipole components in 2-D(magnet cross section) @ Rref = 50 mm

Integral multipole components(not including lead end geometry)@ Rref = 50 mm#b2dl=10000, #b6dl=-0.04, #b10dl=0.46, #b14dl=0.02

Construction of QCS R&D Magnet(2-1) Magnet Construction Process

Construction of QCS R&D Magnet(2-2) Winding Coils

2nd layer coil after winding 1st layer coil

4th layer coil after winding 3rd layer coil

6th layer coil after winding 5th layer coilConstruction of QCS R&D Magnet(2-3) Curing Coils
(1)

(2)

(1)

(2)
(3)

(3)

The 1st and 2nd layer coils are assembled on themandrel. On the these coils, dummy coil blocks
are assembled for curing process.
5000 tons curing press. The coils are heated up to130 degree C, and pressed by this press machine.
Coils and dummy coil blocks in the form block
inside the press.

Construction of QCS R&D Magnet(2-4) 12 Cured Coils and curing 6 layer coils all at once
(1)

(2)

(1)
(2)

12 cured double pan-cake coils.
Curing process of 6 layer coils. This process isnecessary for improving the field quality in themagnet straight section (magnet body).

Construction of QCS R&D Magnet(2-5) Collaring coils(1)

SUS collars (High Mn Material)

(3)

(1)

(2)

(2)

(3)

SUS collars. The material is High Mn steel.
This material has a tensile strength of 1.25
times higher than SUS-316, and non-magnetic.
Four 6 layer coils are assembled on the supportcylinder.
Collars are mounted on the coils.

Construction of QCS R&D Magnet(2-6) Collaring coils-2

(3)

(1)

(1)

(2)
(3)

(2)

Pushing SUS collars with a hydraulic collaring
press in order to give an azimuthal pressure of32 MPa on the coils.
Keying collars with High-Mn SUS bars.
Completed collared coils.

Construction of QCS R&D Magnet(2-7) Soldering leads from coils
(3)

(1)
(1)
(2)

(3)

(2)

In total, 24 leads come from the non-return endof the coil.
These leads are connected with solder. Special
temperature-controlled tools are used forsoldering.
Soldered leads with an electrical insulation.

Construction of QCS R&D Magnet(2-8) Completed R&D Magnet

Preparation of the vertical testConstruction of QCS R&D Magnet(2-9) Measurement of Coil Size
returnend

non-return end(lead end)

1st layer coil configuration

Construction of QCS R&D Magnet(2-10) Measurement of Coil Size-2
QCS-R&D-L1coil-def-sigma

1.5error average, mm0.5

L1-11L

L1-9L

L1-10L

L1-7L

L1-8L

L1-6L

L1-5L

L1-11R

L1-12R

L1-9R

L1-10R

L1-7R

L1-8R

L1-5R

L1-6R

1st layer

error average, mm

0-0.5

L2-11L

L2-9L

L2-10L

L2-7L

L2-8L

L2-6L

L2-5L

L2-11R

L2-12R

L2-10R

L2-9R

L2-8R

L2-7R

L2-6R

L2-5R

-1error average, mm-0.8

L4-1R

L4-2R

L4-3R

L4-4R

L4-1L

L4-2L

L4-3L L4-4L&6L

QCS-R&D-L5coil-def-sigma

0.4

error average, mm

0.5-0.4

4th Layer

QCS-R&D-L2coil-def-sigma

1

0-1.2

L1-12L&14L

0L2-12L&14L

error average, mm

1-0.5

error average, mm

QCS-R&D-L4coil-def-sigma
0.4

error average, mm

0.2
0-0.2
-0.4-0.6
error average, mm-0.8-1

L5-1R

L5-2R

L5-3R

L5-4R

L5-1L

L5-2L

L5-3L L5-4L&6L

5th Layer

2nd Layer
QCS-R&D-L3coil-def-sigma

0-0.5-1
error average, mm-1.5

QCS-R&D-L6coil-def-sigma

0.4

error average, mmerror average, mm0.5

L3-0RL L3-1R

L3-2R

L3-3R

L3-4R

L3-1L

L3-2L

L3-3LL3-4L&6L

3rd Layer

0.2
0-0.2
-0.4
-0.6-0.8

error average, mm
L6-1R

L6-2R

L6-3R

L6-4R

L6-1L

L6-2L

L6-3L L6-4L&6L

6th Layer

Average geometry error (maximum value)
1st layer : 0.78 +/-0.38 mm (non-return end),
2nd layer : 0.35 +/-0.37 mm (non-return end),
3rd layer : -0.85 +/-0.41 mm (return end),

4th layer : -0.54 +/-0.65 mm (return end)
5th layer : -0.52 +/-0.35 mm (non-return end)
6th layer : -0.38 +/-0.26 mm (return end)

Construction of QCS R&D Magnet(2-11) Error Estimation-1

Azimuthal deformation in the coil sizecoil.def.effect.kdat

1b6
b10
b14b6, b10, b140.5

Design multipole components @ Rref = 50 mm#b2dl=10000, #b6dl=-0.04, #b10dl=0.46, #b14dl=0.02

0-0.5-1-0.06
Pole side

-0.04

-0.02

00.02

deformation, mm

0.040.06
Mid-plane sideConstruction of QCS R&D Magnet(2-12) Error Estimation-2

Axial deformation in the coil sizecoil.def.axial.kdat

0.8+0.5mm+0.5mmb6, b10, b140.6
0.4
0.2

0-0.2

b6
b10
b14

-0.4

+0.5mm

-0.6
-0.6

-0.4

-0.2

00.2

deformation, mm

0.4

0.6

Summary•••••

The R & D magnet of the final focus quadrupole for SuperKEKB has beencompleted.
Some of the tools should be improved.
– Dummy coil blocks for curing coils.
– Tools for tuning axial coil length.
Measurements of the coil size were preformed.
– The averages of the coil deformation in the axial length were less than 1mm.
– The coils for the first pole have larger errors than the other coils.
– We plan to make another coils for the one pole, and re-assemble themagnet with the new pole.
Effect of coil deformation on the multipole was calculated.
– Azimuthal coil size error of 0.05mm : $b6 = 0.4– Axial coil size error of 0.5mm : $b6 = 0.8
The 1st R&D magnet will be tested in June.