Support and magnet coil

KEK Hiroshi Yamaoka

Nov. 10, ‘04

Initial configuration of the iron yoke

max

083.2

Zmmdz

Bz

Br

Further amount of iron is necessary.

→ Too large!!

max

02

Zmmdz

Bz

Br

Iron Yoke configuration is optimized!

3T

Material for return yoke

S10C(JIS) Carbon= 0.1wt%t=310MPae=205MPaallow=120MPa

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0100

101

102

103

104

105

106

H(A

/m)

B(T)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.00

500

1000

1500

2000

2500

3000

Per

mea

bili

ty

B(T)

Permeability

These dimensions are fixed,Coil length, yoke dimensions are changed.

Belle

Calculations

dz Coil-L Bmin Bmax Bc Unif(%)60 4.31 2.965 3.078 3.05 3.67170 4.32 2.966 3.077 3.049 3.60780 4.33 2.968 3.076 3.049 3.51190 4.34 2.968 3.074 3.048 3.448

100 4.35 2.97 3.073 3.047 3.352120 4.37 2.972 3.071 3.046 3.224200 4.45 2.979 3.061 3.042 2.679500 4.75 3.003 3.027 3.023 0.793550 4.8 3.005 3.025 3.017 0.661600 4.85 3.008 3.026 3.017 0.595640 4.89 3.01 3.027 3.014 0.562650 4.9 3.01 3.026 3.013 0.529660 4.91 3.009 3.027 3.013 0.595700 4.95 3.004 3.027 3.01 0.76750 5 2.999 3.028 3.006 0.958 0 100 200 300 400 500 600 700 800

0.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

4.0

Un

ifo

rmit

y(%

)

dz(mm)

1001(%)max

min

B

BUnif

dz

Coil-L

4.25m

R2.05m

R1.8m

R0.4m

R1.0m

0

2

1

1 .241187 .72356 1.688 2.171 3.135 3.618 4.583 5.547 6.03 6.994 7.477 8.442 8.924 9.889 10.853 11.336 12.301 12.783 13.748 14.712 15.195 16.16 16.642 17.607 18.089 19.054 20.019 20.501 21.466 21.948 22.913 23.877

1111111111

0 10 20 30 40 501E-4

1E-3

0.01

0.1

1

Mag

net

ic F

ield

(T)

Distance from solenoid center(m)

Fringe/Leakage field

Flux line

Magnetic field distribution

Max. 1.8mm

Max. 90MPa<120MPa

18000tons

Fixed

Stress/deformation of End Yoke

Max. 7mm

Max. 65MPa<120MPa

Stress/deformation of Barrel Yoke

13300tons

FixedFixed

4.2mm

30

mm

4.3mm

Aluminum stabilized superconductor

NbTi:Cu:Al= 1:0.9:15.6

Strand diameter: 1.23mm

Filament diameter: 20m

Jc in NbTi at 5T, 4.2K: > 2750A/mm2

Ic at 5T, 4.2K: > 20300A

(For ATLAS)

Superconducting Solenoid

Cryostat Inner radius 3.72mOuter radius 4.4mHalf length 5.25m

Coil Mean radius 4.0mHalf length 4.93m

3T4576 turns

741A/mm2

5338A81.0H1.8GJStored Energy

Central magnetic field

Nominal currentInductance

# of turns(2 layers)

Current density

0 1 2 3 4 5-40

-20

0

20

40

60

80

100

120

140

Str

ess(

MP

a)

Distance from center(m)

Circum. direction

Axial direction

Co

mp

ress

ion

Stress level in the coil

Development of High-strength Al

4.93m(Half)

R4.

0m

Support cylinder(t=50mm) Conductor

(h=30mm)

8mm

4mm

Deformation of the coil

Solenoid center

By Makida

- Outer vac. vessel

40mm thick rLtr

Ep

2

52

75.0

1

855.0

p: Buckling pressure 0.1MPa x 2(safety factor)

2000tons

Fixed Fixed

Thickness of ・ Inner vacuum vessel ・ End plateswere optimized.

Load condition Weight of the calorimeter: 2000tons Weight of the solenoid : ～ 140tons Vacuum : 0.1MPa

Cryostat design

SUS304t =530MPa y =210MPaallow=140MPa

2000tonsFixed Fixed

Model-1

Model-2

Oct. 29, ’04KEK H. Yamaoka

118MPa<140MPa

9mm

t=40mm

t=60mmt=100mm

274MPa>140MPa

15mm

2000tons

Fixed Fixed2000tons

Fixed Fixedt=40mm

t=60mm

t=100mm

2000tons

x0.3G

Fixed Fixed

9mm

125MPa

Stiffness: D

IED 12

3HightWidthI

E: Young’s modulusI: Moment of Inertia

Model-1 Model-2

Material: SUS304

Requests to calorimeter structure; - Calorimeter is divided to several pieces in the axial direction. - One piece of calorimeter is stiff enough.

5250(Half)

4930(Half)

R40

00

R37

20

R44

00

t=50mm

t30mm, 2 layers

*Detail design is not yet done.

*Coil support system is not designed yet.

Feb. 14, ’02 H. Y

Cost estimation of Return Yoke ○ Law material　 \180/kg x 11000e3kg = \19.8 oku+(10%)　　　 19.8x1.1=21.8 oku 

○ Machining　 Total area for machining of Barrel yoke 340m2

　 End Yoke: 501m2

　 Machining cost per 1m2

　　　 \200000/m2

Total:(340+501)m2x20 万 =16.8 oku　 +(10%) 、　　　 16.8x1.1=18.5 oku 

○ Design cost　 1 oku 

○ Cost for QC 0.5 oku ○ 利益率　　　 20 ％とすると、　　 41.8x0.2=8.4 oku

Total　 50.2 okux1.05=52.7 oku

Cost estimation of Solenoid 

The way for improving field uniformity

IB

IB

Solenoid magnetZ2

R2

R1

Z1

・ Plenty of amount of iron

・ Minimize Z1,R1

・ Optimize Z2,R2

max

02

Zmmdz

Bz

Br

3T

Saturation